How do I do this? I need all these problems solved pls I really need help and don't care about the process as much but when you put the answers please just put the numbered question they go to
Answers
The missing sides of right triangles are, respectively:
Case 1: x = 18.910
Case 2: x = 23.584
Case 3: x = 15.890
Case 4: x = 16.659
Case 5: x = 24.111
And the angles of the right triangles are, respectively:
Case 6: 32°
Case 7: 31°
Case 8: 71°
Case 9: 71°
Case 10: 32°
The exact values of trigonometric functions:
Case 11: cos A = 12 / 13
Case 12: tan C = 3 / 4
Case 13: tan A = 3 / 4
And the trigonometric ratios of right triangles are:
Case 14: tan X = 1.3333
Case 15: sin A = 0.6000
Case 16: cos C = 0.3243
How to analyze right triangles by trigonometric functions
In this question we find 16 cases of right triangles that must be analyzed by trigonometric functions. Trigonometric functions is an important tool to determine missing sides and angles and relationships with sides. Most important trigonometric functions are described below:
sin θ = y / r
cos θ = x / r
tan θ = y / x
Where:
x, y - Legsr - Hypotenuse.Please notice that hypotenuse is the longest side of a right triangle.
The first five cases implies the determination of missing lengths in five right triangles:
Case 1
x = 20 · cos 19°
x = 18.910
Case 2
x = 20 / cos 32°
x = 23.584
Case 3
x = 10 / cos 51°
x = 15.890
Case 4
x = 15 / tan 42°
x = 16.659
Case 5
x = 19 / sin 52°
x = 24.111
The following five cases implies the determination of angles by means of direct and inverse trigonometric functions:
Case 6
tan θ = 16 / 26
tan θ = 8 / 13
θ = 31.608° (32°)
Case 7
tan θ = 6 / 10
θ = 30.964° (31°)
Case 8
tan θ = 76 / 26
θ = 71.114° (71°)
Case 9
tan θ = 67 / 23
θ = 71.053° (71°)
Case 10
tan θ = 26 / 42
θ = 31.759° (32°)
The next three cases implies the computation of the exact values of trigonometric functions:
Case 11
cos A = 24 / 26
cos A = 12 / 13
Case 12
tan C = 24 / 32
tan C = 3 / 4
Case 13
tan A = 27 / 36
tan A = 3 / 4
And the last three triangles implies the values of trigonometric ratios:
Case 14
tan X = 36 / 27
tan X = 4 / 3 (1.3333)
Case 15
sin A = 30 / 50
sin A = 3 / 5 (0.6000)
Case 16
cos C = 12 / 37 (0.3243)
To learn more on trigonometric functions: https://brainly.com/question/25618616
#SPJ1
The lengths of the sides, measures of the angles and the values of the trigonometric ratios are as follows;
1) x ≈ 18.9
2) x ≈ 23.1
3) x ≈ 15.9
4) x ≈ 16.7
5) x ≈ 23.1
6) x ≈ 32°
7) x ≈ 31°
8) x ≈ 71°
9) x ≈ 71°
10) x ≈ 32°
11) cos(A) ≈ 0.9
What are trigonometric ratios?Trigonometric ratios are expressions that specify the relationships between two sides of a right triangle and an interior angle of the triangle.
1) The opposite side = 20 × sin(19°) ≈ 6.5
The adjacent side = 20 × cos(19°) ≈ 18.91
2) cos(30°) = 20/x
cos(30°) = (√3)/2, therefore;
(√3)/2 = 20/x
x = 20/((√3)/2) = 40·√3/3 ≈ 23.1
x ≈ 23.1
3) cos(51°) = 10/x
Therefore;
x = 10/(cos(51°)) ≈ 15.9
4) tan(42°) = 15/x
Therefore;
x = 15/(tan(42°)) ≈ 16.7
x ≈ 16.7
5) sin(52°) = 19/x
Therefore;
x = 19/(tan(52°))
x = 20/(cos(30°)) ≈ 23.1
x ≈ 23.1
6) tan(x) = 16/26
tan(x) = 16/26 = 8/13
x = arctan(8/13) ≈ 32°
7) tan(x) = 6/10
tan(x) = 6/10 = 3/5
x = arctan(3/5) ≈ 31°
8) tan(x) = 76/26
tan(x) = 76/26 = 38/13
x = arctan(38/13) ≈ 71°
9) tan(x) = 67/23
x = arctan(67/23) ≈ 71°
x ≈ 71°
10) tan(x) = 26/42
tan(x) = 26/42 = 13/21
tan(x) = 13/21
x = arctan(13/21) ≈ 32°
11) The trigonometric ratios for cosine indicates that we get;
cos(A) = 24/26 ≈ 0.9
12) Trigonometric ratio for tangent indicates that we get;
tan(C) = 24/32 = 0.75
13) tan(A) = 27/36
27/36 = 3/4
Therefore; tan(A) = 3/4 = 0.75
14) tan(x) = 36/27 = 4/3
tan(x) = 4/3 = 1 1/3
15) sin(A) = 30/50 = 3/5
sin(A) = 3/5 = 0.6
16) cos(C) = 12/37 ≈ 0.32
Learn more on trigonometric ratios here: https://brainly.com/question/16663616
#SPJ1
Related Questions
Which graphs represent functions?
Graph A
Graph B
Graph C
Answers
Answer:
Graphs B and D
I can't see all the options since the image is cropped but it does look like the first option
Step-by-step explanation:
A function, y = f(x0 can have one and only one value for a specific value of x
Graphically we can determine whether a graph represents a function or not by drawing a vertical line through a value of x and finding out if it intersects the graph at more than one point
Graph A: Not a function
If we draw a vertical line at say x = 0, it intersects the graph at two points y = 2 and y = -2. Therefore it is not a function
We need to see only one violation of this rule to conclude it is not a function
Graph B: Function
This is a function. There are 5 points plotted for 5 values of x (x = -5, -4, -1, 1 and 2) and at none of these values of x does a vertical line cross two points
Graph C Not a function
At x = 1, the vertical line will cross at 2 points (1, 5) and (1, -3). Essentially there are 2 y values, 5 and -3 for a single x value of 1
So not a function
Graph D Function
At no value of x does a vertical line pass through more than one point. Hence it is a function
3
David and Alec are comparing the international calling plans on their cell phones. On his plan,
David pays $4 just to place a call and $1 for each minute. When Alec makes an international
call, he pays $1 to place the call and $2 for each minute. A call of a certain duration would
cost exactly the same under both plans. What is the duration?
Write a system of equations, graph them, and type the solution.
Answers
The duration of the call for the same cost is, 3 minutes.
A system of equations, y = 4 + x
y = 1 + 2x
What is an Equation ?An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.
Let's let t be the duration of the call in minutes.
Then, the cost of the call under David's plan would be:
4 + t
And the cost of the call under Alec's plan would be:
1 + 2t
Since the costs are the same, we can set these two expressions equal to each other and solve for t:
4 + t = 1 + 2t
Simplifying and solving for t, we get:
t = 3
Therefore, a call of 3 minutes duration would cost exactly the same under both plans.
To graph the system of equations, we can plot the two expressions for the cost of the call on the y-axis and the duration of the call on the x-axis. The two equations are:
y = 4 + x
y = 1 + 2x
Plotting these two lines on the same graph, we get:
The solution is the point where the two lines intersect, which is (3, 7). This confirms that a call of 3 minutes duration would cost exactly the same under both plans, and the cost would be $7.
To know more about Equation check:
https://brainly.com/question/1529522
#SPJ1
jim's coffee shop makes a blend that is a mixture of two types of coffee. type a coffee costs jim per pound, and type b coffee costs per pound. this month's blend used three times as many pounds of type b coffee as type a, for a total cost of . how many pounds of type a coffee were used?
Answers
Type A: 5.45 per pound, Type B: 4.35 per pound. This month's mixture: We know that an is 5.45 per pound, so we divide total cost 401.65 by 5.45 to get a result of 73.69 LB of Type A. 2B + A = 410.35 2(4.35) = 8.70 A + 8.70 = 410.35 A = 401.65.
Total cost is a term used in economics to describe the least expensive way to produce a specific amount of a good (TC). Fixed costs, which are unaffected by the quantity of a good produced and include inputs like buildings and machinery, possibly including sunk costs, and variable costs, which change with the quantity of a good produced and include inputs like labor and raw materials, make up the total economic cost of production. Economics considers the total potential cost of each manufacturing item as one of the total cost's fixed or variable costs.
Learn more about costs from
brainly.com/question/25109150
#SPJ4
if a researcher wishes to examine the extent to which the data measure what they are supposed to measure, the researcher is interested in
Answers
The appropriate option to fill the blanks would be: a. validity. and b. reliability.
Both validity and reliability are important concepts in research that determine the quality of data and measurement. Validity refers to the accuracy and truthfulness of a measurement, while reliability refers to the consistency and stability of a measurement. The researcher would be interested in both to ensure that the data measure what they are supposed to measure accurately and consistently. In research, both reliability and validity are important concepts. Reliability refers to the consistency and stability of a measurement, while validity refers to the accuracy and truthfulness of a measurement. So, if a researcher wishes to examine the extent to which the data measure what they are supposed to measure, the researcher would be interested in both reliability and validity of the data.
To learn more about reliability click here
brainly.com/question/14095068
#SPJ4
Complete Question
If a researcher wishes to examine the extent to which the data measure what they are supposed to measure, the researcher is interested in _________
a. validity.
b. reliability.
c. confirmability.
d. credibility.
On a recent math test, Alfred was asked to write an equation for the following problem:
Jenny bought 2 bags of carrots for her 6 rabbits. In the 2 bags of carrots, there are 52 carrots. How many carrots will each rabbit get if Jenny divides them equally for her 6 rabbits? Alfred wrote the expression: 52 ÷ 2. Is Alfred correct? Explain why or why not.
not much points but pls answer 14 points
Answers
b. how many such strings are if 2 of the ones are to be next to each other and the third is not next to the other two? (for example, 0011000100.
Answers
The total number of strings that satisfy the given conditions is 24.
Let us count the number of strings where the two ones that are next to each other are in the first two positions, and the third one is in the fifth position. There are two choices for the value of the fourth digit (0 or 1), and two choices for the value of the last digit (0 or 1). Therefore, there are 2 \cdot 2 = 4 strings with this property: 110010, 110100, 111010, and 111100.
We can obtain the same number of strings by considering the case where the two ones that are next to each other are in the last two positions, and the third one is in the fifth position.
Now, let us count the number of strings where the two ones that are next to each other are in the first two positions, and the third one is in the sixth position. There are two choices for the value of the third digit (0 or 1), and two choices for the value of each of the other digits (digits 4 and 5 must be different from each other and from digit 3). Therefore, there are 2 \cdot 2 \cdot 2 = 8 strings with this property: 1100010, 1101010, 1110010, 1111010, 1000110, 1001110, 1010110, and 1011110.
Again, we can obtain the same number of strings by considering the case where the two ones that are next to each other are in the last two positions, and the third one is in the sixth position.
Thus, the total number of strings that satisfy the given conditions is 4+4+8+8=24.
To learn more about strings here:
https://brainly.com/question/11172539
#SPJ4
12. Angle of a right-angled isosceles triangle is:
a. 1 : 2 : 3
b. 1 : 1 : 2
c. 1 : 3 : 4
d. 2 : 2 : 3
Answers
a bagel store sells 6 different types of bagels. in how many ways can you buy 20 bagels with at least one bagel of each kind?
Answers
The number of ways to buy 20 bagels with at least one bagel of each kind from a bagel store that sells 6 different types of bagels is 3060.
To calculate the number of ways to buy 20 bagels with at least one bagel of each kind from a bagel store that sells 6 different types of bagels, we can use the concept of stars and bars.
First, we need to ensure that we have at least one of each type of bagel. So, we take one bagel of each type, which leaves us with 14 bagels to buy.
Now, we can use stars and bars to distribute the remaining 14 bagels among the 6 types of bagels. We represent the 14 bagels as stars and the 5 possible locations between the types of bagels as bars.
Using this method, we need to distribute 14 stars among 5 bars, which can be done in
(14+5-1) choose (5-1) = 18 choose 4 = 3060 ways.
Therefore, the number of ways to buy 20 bagels with at least one bagel of each kind from a bagel store that sells 6 different types of bagels is 3060.
Learn more about ways :
https://brainly.com/question/11823283
#SPJ4
A rectangular piece of Bluestone measures 18" on the two long sides and 12" on
the two short sides. To determine the perimeter (or length around the outside), you
add the lengths of the four sides. What is the perimeter of the plate?
Answers
The perimeter of the plate is 60"
How to determine the perimeter of the plate?From the question, we have the following parameters that can be used in our computation:
Length = 18"
Width = 12"
The perimeter of the rectangle piece can be calculated as
Perimeter = 2 * (Length + Width)
Substitute the known values in the above equation, so, we have the following representation
Perimeter = 2 * (18 + 12)
Evaluate
Perimeter = 60
Hence, the perimeyer is 60"
Read more about perimeter at
https://brainly.com/question/24571594
#SPJ1
Here are 2 points in the plane.
B
Explain how to construct a line segment that is half the length
of segment AB .
O Construct a new point and create an angle bisector.
Create two circles centered at each point to the other and make a line through their intersections to
cut it in half.
O
Link them with a segment, make a new point on it and make a circle centered at A and B to the new
point.
Answers
To construct a line segment that is half the length of segment AB, follow the steps below.
What is the intersection points of the circle?
The intersections of two circles determine a line known as the radical line. If three circles mutually intersect in a single point, their point of intersection is the intersection of their pairwise radical lines, known as the radical center.
Draw a straight line passing through points A and B.
Bisect the line segment AB at point C.
Draw a circle centered at point C with a radius equal to AC or BC.
The intersection points of the circle and the line passing through A and B will be points D and E.
The line segment DE will be half the length of segment AB.
Therefore, To construct a line segment that is half the length of segment AB, follow the steps above.
To learn more about the intersection points of the circle visit:
https://brainly.com/question/28928180
#SPJ1
What is the area of this compound figure?
Answers
Answer:
Step-by-step explanation:
Jayden and Ramon are members of a bowling league. Jayden plans to order
custom team shirts and he has narrowed his options down to two companies.
Designs n More will charge a $10 design fee and $7.50.per shirt: Custom
Creations charges $9 per shirt and does not charge a design fee.
Answers
Equating the mathematical expressions, for the total costs of both companies to be the same, Jayden and Ramon must buy about 7 shirts.
What is a mathematical expression?A mathematical expression consists of the combination of variables, values, constants, and numbers using mathematical operands.
A mathematical expression is not the same as an equation, which states that two mathematical expressions are equal.
Designs n More Custom Creations
Design Fee $10 $0
Variable cost per shirt $7.50 $9.00
Let the number of shirts = x
Designs n More's total costs = 10 + 7.5x ... Expression 1
Custom Creations' total costs = 9x ... Expression 2
For the total costs of both companies to be the same, the two expressions for their total costs will be equal:
10 + 7.5x = 9x
10 = 1.5x
x ≈ 7
Thus, approximately, 7 shirts need to be bought for the total costs to be the same.
Learn more about mathematical expressions at https://brainly.com/question/1859113.
#SPJ1
Question Completion:How many shirts will make the two companies' total costs the same?
PLEASE HELP! O is the centre of a sphere and has coordinates (2, -3,5). If AB is a diameter of the sphere
and A has coordinates (5, 1, 1), find the coordinates of B. Give your answer as an ordered
triple (x, y, z).
Answers
Answer:
(-2, -6, -6)
Step-by-step explanation:
The center of the sphere, O, and point A, are located on the same diameter of the sphere, AB. Thus, the line segment joining these two points is the radius of the sphere. Therefore, the length of the line segment, OA = OB = r, where r is the radius of the sphere.
We can find the length of the line segment, OA, using the distance formula:
√((5 - 2)^2 + (1 + 3)^2 + (1 - 5)^2) = √(3^2 + 4^2 + (-4)^2) = √49 = 7
Since OA = OB = 7, the coordinates of B can be found by subtracting the radius, 7, from the x, y, and z-coordinates of point A:
B = (5 - 7, 1 - 7, 1 - 7) = (-2, -6, -6)Therefore, the coordinates of B are (-2, -6, -6).
Solve the following system of equations
using the elimination method.
3x + 2y = 5
2x + 4y = 2
Answers
Answer:
x=2 , y= (-1/2)
Step-by-step explanation:
3x + 2y = 5
2x + 4y = 2
Consider Equation 1:- (3x+2y=5)
Multiply both sides by 2
2(3x + 2y) = 5*2
6x + 4y = 10
Subtract both equations-
6x + 4y =10
-2x + 4y =2
=> 4x =8
x = 2
Substitute the value of x in equation 1
3*2 + 2y = 5
6 + 2y = 5
2y = 5-6
2y = (-1)
y = (-1/2)
Hope is helps ;)
Samantha drove 468 miles from Omaha, Nebraska to Chicago, Illinois. She drove 251 miles during the first day. Set up an equation (where D represents the distance traveled during the second day) that could be used to find the distance Samantha traveled during the second day. Then, SOLVE the equation.
Answers
Samantha drove 217 miles during the second day.
How set up and solve an equation?Word problems are sentences describing a 'real-life' situation where a problem needs to be solved by way of a mathematical calculation.
Let D be the distance Samantha traveled during the second day. Then the total distance she drove is 468 miles. The equation will be:
D + 251 = 468
Solving for D:
D = 468 - 251
D = 217
Therefore, Samantha drove 217 miles during the second day.
Learn more about word problems on:
brainly.com/question/13818690
#SPJ1
Degree of expression??? Please help!
Answers
Classify the following triangle. Check all that apply.
• A. Equilateral
• B. Obtuse
• C. Isosceles
• D. Scalene
• E. Acute
• F. Right
Answers
Answer:
I don't have a way to explain, but it is an Equilateral and Isosceles :)
Hope it helps!
Caride Pls this is needed very urgently
1.) Common ailments of senior citizens are arthritis, arteriosclerosis and loss of hearing. A survey of 200 senior citizens found that 70 had arthritis, 60 had arteriosclerosis, 80 had loss of hearing, 35 had arthritis and arteriosclerosis, 33 had arthritis and loss of hearing, 31 had arteriosclerosis and loss of hearing and 15 had all three.
How many of the senior citizens in the survey had; (1). none of these ailments, (f), arthritis but neither of the other two ailments, (iii), exactly one of these ailments, (iv). arteriosclerosis and loss of hearing but not arthritis, (v). arteriosclerosis or loss of hearing but not arthritis, (vi). exactly two of these ailments?
Answers
Answer:
i) 84
ii) 7
iii) 47
iv) 16
v) 56
vi) 54
Step-by-step explanation:
The easiest way to understand this problem visually is to create a Venn diagram (See attached diagrams below to help you)
First, note that the total amount of people with each condition beside the relevant circle. Then, since 15 have all 3, write 15 in the center.
We're told 35 had arthritis and arteriosclerosis, and 15 had all 3, so the amount with arthritis and arteriosclerosis only is 25-25=20. So we write 20 in the crosssection between arthritis and arteriosclerosis that doesn't include loss of hearing.
We're told 33 had arthritis and loss of hearing, and 15 had all 3, so the amount with arthritis and loss of hearing but not arteriosclerosis is 33-15=18. So we write 18 in the crosssection between arthritis and loss of hearing that doesn't include arteriosclerosis.
We're told 31 had arteriosclerosis and loss of hearing, and 15 had all 3, so the amount with arteriosclerosis and loss of hearing only is 31-15=16. So we write 16 in the crosssection between arteriosclerosis and loss of hearing that doesn't include arthritis.
(see diagram A to see how this should look)
70 people have arthritis and (18+25+20=63) have arthritis and another condition, so the amount with only arthritis is 70-63=7
60 people have arteriosclerosis and (20+15+16=51) have arteriosclerosis and another condition, so the amount with only arteriosclerosis is 60-51=9
80 people have loss of hearing and (18+15+16=49) have loss of hearing and another condition, so the amount with only loss of hearing is 80-49=31
Marking in these figures completes the diagram (See diagram B to see how it should look)
i)
The total amount of people represented within the diagram (ie, the ones with conditions) is 7+20+9+18+15+16+31=116. If 200 were surveyed, this means the amount without these conditions is 200-116=84
ii)
Above, we found the amount with arthritis only was 7
iii)
7 have only arthrits, 9 have only arteriosclerosis, and 31 have only loss of hearing , so the amount with only one ailment is 7+9+31=47
iv)
Above, we found that 16 had arteriosclerosis and loss of hearing but not arthritis
v)
The amount with arteriosclerosis or loss of hearing but not arthritis is equal to the amount with arteriosclerosis only plus the amount with loss of hearing plus the amount with both arteriosclerosis and loss of hearing: 9+31+16=56
vi)
Above, we found the amount with arthritis and arteriosclerosis only is 20, the amount with arthritis and loss of hearing but not arteriosclerosis is 18, and the amount with amount with arteriosclerosis and loss of hearing only is 16. So the total amount with exactly two conditions is 20+18+16=54
HELLLLLLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
Edit: it's actually translation, sorry about that.
Step-by-step explanation:
Answer: I think it might be translation
Step-by-step explanation:
Translation: A slide of a slide of a shape on a coordinate plane. We can move a shape upward, downward, leftward, or rightward.
Write the exponential function that describes the situation.
The initial amount of the function is 11 and then it decreases by a factor of 8/9 with each unit increase in x
The function that describes the situation is y=
Answers
Answer: The form for an exponential equation is f(t)=P0(1+r)t/h where P0 is the initial value, t is the time variable, r is the rate and h is the number needed to ensure the units of t match up with the rate. Plug in the initial value for P and the rate for r. You will have f(t)=1,000(1.03)t/h.
Step-by-step explanation:.....
1000, 200, 40, .... Find the 50th term:
Answers
PLEASE GIVE BRAINLIEST
thank you and have a good day :)
Answer:
5.6294995342131E-32
Step-by-step explanation:
the common ratio is 1/5, therefore with the equation an = a x r
n-1
we can figure out the answer to this by plugging in the common ratio for r,
and n as the number in the sequence that we want to obtain.
a is simply the first number (1000)
What is the probability of tossing a coin and it landing on head 8 times in a row
Answers
Answer:
The probability of tossing a fair coin and it landing on heads 8 times in a row is (1/2)^8 = 1/256. This means that there is a 1 in 256 chance that a fair coin will land on heads 8 times in a row. The probability of an event can be calculated by taking the number of favorable outcomes and dividing it by the number of possible outcomes. In this case, there is only one favorable outcome (tossing a heads 8 times in a row) and two possible outcomes for each toss (heads or tails), so the probability is 1/2^8 = 1/256.
Step-by-step explanation:
Answer:
it should be 0.04percent.
the diameter of a colorado blue spruce tree that is years old is inches. what is the average diameter of a colorado blue spruce in its first ten years (that is, from to )? give your answer to two decimal places. just give the number, don't type the units.
Answers
A Colorado blue spruce's first ten years have an average diameter of 0.62 inches.
Measure the diameter of the tree in its first ten years and divide it by 10 to determine the average diameter of a Colorado blue spruce in its first ten years. The outcome is the tree's average diameter during its first ten years. Measure the diameter of the tree in its first ten years and divide it by 10 to determine the average diameter of a Colorado blue spruce in its first ten years. The outcome is the tree's average diameter during its first ten years. For instance, if a Colorado blue spruce is five years old, you would calculate its diameter and multiply it by 10. You will then know the tree's typical diameter for the first ten years. Any age of Colorado blue spruce tree can use the same calculation. Depending on the age of the tree, a Colorado blue spruce's first ten years' average diameter will vary. The average diameter will be greater if the tree is older than ten years. The average diameter will be less, however, if the tree is less than 10 years old. In general, a Colorado blue spruce's first ten years have an average diameter of 0.62 inches.
Learn more about average here
https://brainly.com/question/24057012
#SPJ4
Question 7(Multiple Choice Worth 2 points) (09.06 LC) How many hectometers are in 580 millimeters? O 0.0058 hectometers O 0.058 hectometers O 58,000 hectometers O 580,000 hectometers
Answers
Answer:
0.058 hectometers
Step-by-step explanation:
There are 0.058 hectometers in 580 millimeters.
To convert millimeters to hectometers, you need to divide the number of millimeters by 100,000. So, 580 millimeters divided by 100,000 equals 0.0058 hectometers, or 0.058 hectometers when rounded to two decimal places.
Δ′ABC ∼Δ′A'B'C and AC=20cm A'C'=15cm B'C'=12cm and A'B'=9cm find the length of the other sides of ΔABC
Answers
The length of the other sides of ΔABC are AB =12 cm and BC = 16 cm.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
Given that, ΔABC ∼ΔA'B'C' and AC=20 cm A'C'=15 cm B'C'=12 cm and A'B'=9 cm.
Here, AB/A'B' = BC/B'C' = AC/A'C'
AB/9 = BC/12 = 20/15
AB/9 = BC/12 = 4/3
Now, AB/9 = 4/3
AB =12 cm
BC/12 = 4/3
BC = 16 cm
Therefore, the length of AB =12 cm and BC = 16 cm.
To learn more about the similar triangles visit:
https://brainly.com/question/25882965.
#SPJ1
how many sides does a regular polygon have if each interior angle measures 140
Answers
A regular polygon with interior angles that measure 140 degrees has 9 sides. All interior angles are congruent, meaning they have the same degree measure.
To find the number of sides in a regular polygon with a given interior angle measure, we can use the formula:
n = 360 / (180 - x)
where n is the number of sides and x is the measure of each interior angle in degrees.
This formula is derived from the fact that the sum of the interior angles in a polygon with n sides is given by the formula (n-2) * 180. In a regular polygon, each interior angle measures (Sum of interior angles / n). If we substitute the formula for the sum of interior angles into the formula for the measure of each interior angle, we get:
x = (n-2) * 180 / n
Solving for n:
n = 360 / (180 - x)
So, when we plug in the given interior angle measure of 140 degrees, we get:
n = 360 / (180 - 140)
n = 360 / 40
n = 9
Therefore, a regular polygon with interior angles that measure 140 degrees has 9 sides.
To learn more about regular polygon please click on below link.
https://brainly.com/question/4076301
#SPJ4
How many sides does a regular polygon have if each interior angle measures 140?
the probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring.
Answers
False. The probability of the union of two events occurring can be greater than the probability of the intersection of two events occurring.
The probability of the union of two events A and B, written as P(A union B), is the sum of the individual probabilities of the two events minus the probability of their intersection.
P(A union B) = P(A) + P(B) - P(A intersection B)
If the two events are not mutually exclusive, meaning that they have a non-empty intersection, then P(A union B) will be greater than P(A intersection B).
In other words, the union of two events gives you the combined probability of both events happening, while the intersection gives you the probability of both events happening simultaneously, which is always smaller or equal to the probability of either event happening.
To learn more about intersection please click on below link.
https://brainly.com/question/26496929
#SPJ4
The probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring? TRUE/ FALSE.
Aaron made a picture frame with the dimensions shown in the figure. What is the area of the picture frame? A bigger outer rectangle has sides of 12 cm and 10 cm, and an inner rectangle has sides of 8 cm and 6 cm. A. 120 square centimeters B. 88 square centimeters C. 72 square centimeters D. 64 square centimeters
Answers
The area of the picture frame 72 cm². Therefore, option C is the correct answer.
What is the area of a rectangle?The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.
Given that, a bigger outer rectangle has sides of 12 cm and 10 cm.
So, the area of a outer rectangle = 12×10
= 120 cm²
An inner rectangle has sides of 8 cm and 6 cm
The area of a inner rectangle = 8×6
= 48 cm²
The area of the picture frame = 120-48
= 72 cm²
Therefore, option C is the correct answer.
To learn more about the area of a rectangle visit:
https://brainly.com/question/20693059.
#SPJ1
Answer: C | 72 square centimeters
Step-by-step explanation:
The answer is C. 72 square centimeters. The area of the picture frame can be found by subtracting the area of the inner rectangle from the area of the outer rectangle. The area of the outer rectangle is 120 square centimeters (12 x 10). The area of the inner rectangle is 48 square centimeters (8 x 6). Therefore, the area of the picture frame is 120 - 48 = 72 square centimeters.
Solve this equation for m
Please help ASAP I need the correct answers please
Answers
The equation solved for m is written as:
(y - b)/x = m
How to solve the equation for m?
Here we have a general linear equation:
y = m*x + b
And we want to solve the equation for m, this means that we need to isolate the variable m in that equation.
We will get:
y = m*x + b
y - b = m*x
(y - b)/x = m
That is the equation solved for m.
Learn more about linear equations at:
https://brainly.com/question/1884491
#SPJ1
HII NEED HELP PLEASE
Answers
Answer:
x=4
Step-by-step explanation:
since triangles LMJ and KLJ are = by hyp. and one side
<=> 4x+6=3x+10
<=> 4x-3x=10-6
<=> x=4
