The two smaller angles are 39 degrees each. The other angle is 106
How to solve for the anglesThe measure of the angles would be found using the formula
2*x + 24 = 180
This is because the sum of angles that are in a triangle is = 180
the two equal angles are x + x = 2x
the other angle is 24 greater than 2x
2x + 24 = 180
2x = 180 - 24
2x = 156
x = 78
eaxh of the two equal angles are 78 degrees
while the other angle is 78 + 24 = 106
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examine whether you can construct a triangle PQR such that QR=3 cm, PQ=6 cm, PR=3 cm. Justify your answer
No, it is impossible to construct a triangle PQR such that QR=3 cm, PQ=6 cm, PR=3 cm as the dimensions defy the triangle inequality theorem.
What is the triangle inequality theorem?It follows from the triangle inequality theorem that the sum of any two side lengths of a triangle must be greater than the third side length and also, the difference of two side lengths of a triangle must be less than the third side lengths.
However, in this case, since QR + PR = PQ, it can be inferred that the two side lengths cannot possibly be used to construct a triangle.
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Please Help Me Answer!
The probability that a randomly chosen college student exercises in the morning or afternoon is B. 0. 39.
How to find the probability ?The probability that a college student chosen at random will either exercise in the morning or afternoon can be found by the formula :
= Probability that student exercises in the morning + Probability that student exercises in the afternoon
Probability that student exercises in the morning = 0. 25
Probability that student exercises in the afternoon = 0. 14
The probability would therefore be:
= 0. 25 + 0. 14
= 0. 39
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Which equation best represents the curve of best fit for this data?
Answer:yes
Step-by-step explanation:
Their is a pair of parralle sides in the following shape 5 , 7, 6
what is the area of the shape
Answer: A = 15 units²
Step-by-step explanation:
The figure has 1 pair of parallel sides and is therefore a trapezium.
The area (A) of a trapezium is calculated as
A = h (b₁ + b₂ )
where h is the perpendicular height between bases and b₁, b₂ are bases
here h = 3, b₁ = 3 , b₂ = 7 , then
A = × 3 × (3 + 7) = 1.5 × 10 = 15 units²
CIRCLES DRAG & DROP ACTIVITY 1: Drag & Drop the correct values to fill in each table below.
HELP ASAP WILL GIVE BRAINLIST!!!!!!!!!!
The radius, diameter, area and circumference of circle 1, 2, 3 and 4 are; (2, 4, 4π, 4π), (4, 8, 16π, 8π), (1, 2, 1π, 2π) and ( 8, 16, 64π, 16π) respectively.
What are the radius, diameter, area and circumference of each of the given circle?The diameter of a circle is 2 times the radius of the circle.
The area of a circle is expressed as: A = πr²
The circumference of a circle is expressed as: 2πr
For question 1)
Radius r = 2
Diameter = 2 × radius = 2 × 2 = 4
Area = πr² = π( 2 )² = 4π
Circumference = 2πr = 2 × π × 2 = 4π
For question 2)
Radius r = 4
Diameter = 2 × radius = 2 × 4 = 8
Area = πr² = π( 4 )² = 16π
Circumference = 2πr = 2 × π × 4 = 8π
For question 3)
Diameter d = 2
Radius = diameter / 2 = 2/2 = 1
Area = πr² = π( 1 )² = 1π
Circumference = 2πr = 2 × π × 1 = 2π
For question 4)
Diameter d = 16
Radius = diameter / 2 = 16/2 = 8
Area = πr² = π( 8 )² = 64π
Circumference = 2πr = 2 × π × 8 = 16π
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The cost of renting a car is $75 dollars per day there is also a charge of 30 to start with a full tank of gas so that the car may be returned full or close to empty. Write a function to represent the car rental using c for cost and d for number of days
Answer:
Step-by-step explanation:
The cost of renting a car for "d" days can be represented by the following function:
c(d) = 75d + 30
where "c" is the total cost of the car rental and "d" is the number of days the car is rented for. The first term, 75d, represents the daily rental fee of $75 per day. The second term, 30, represents the flat fee for the full tank of gas that can be returned either full or close to empty.
Help me with this worksheet pls
The value of y from x= 0 to x = 3 is: y = 5(2)⁰ = 5, y = 5(2)¹ = 10, y = 5(2)² = 20, y = 5(2)³ = 40. The most rapid rate of change is: y = 7ˣ. The constant 1.20 is greater than 1 thus, the function is exponential growth.
What is exponential function?The formula for an exponential function is f (x) = axe, where x is a variable and an is a constant that serves as the function's base and must be bigger than 0. The transcendental number e, or roughly 2.71828, is the most often used exponential function basis.
The given function is:
y = 5(2)ˣ
The value of y from x= 0 to x = 3 is:
y = 5(2)⁰ = 5
y = 5(2)¹ = 10
y = 5(2)² = 20
y = 5(2)³ = 40
The most rapid rate of change as x increases beyond 0 is:
y = 7ˣ
This is observed as the graph increases rapidly with change in value of x.
3. y = (1.20)ˣ
The constant 1.20 is greater than 1 thus, the function is exponential growth.
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Mark and Don are planning to sell each of their marble collections at a garage sale. If Don has 1 more than 4 times the number of marbles Mark has, how many does each boy have to sell if the total number of marbles is 111?
On solving the provided question, we can say that in the equation,Often, there is only one variable, which also serves as the symbol. An illustration would be , [tex]D = 4(82-D)+2[/tex]
What is equation?The equal sign (=), which denotes equality, is used to unite two statements in a mathematical equation. In algebra, an equation is a mathematical statement that proves the equality of two mathematical expressions.
For instance, the equal sign separates the variables 3x + 5 and 14 in the equation 3x + 5 = 14.The two sentences on either side of a letter are connected by a mathematical formula.
Each equation has a formula. Not every equation has a formula. Equations are created with the intention of being solved for a variable. If an equation meets the requirements for a function, it is a function. But not every equation is a function.
M+D = 82 marbles
[tex]M= 82- D[/tex]
[tex]D= 4M+2[/tex]
[tex]D= 4(82-D) +2[/tex]
[tex]D= 328 - 4D+2[/tex]
[tex]5D = 330[/tex]
[tex]D= 66[/tex]
Therefore, Don has 66 and Mark has 82-66 = 16
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A
15
What is the measure of ZA?
B
Enter the correct value.
C
The measure of angle A is given as follows:
<A = 60º.
What are the trigonometric ratios?The three trigonometric ratios are defined as follows:
Sine of angle = length of opposite side divided by the length of the hypotenuse.Cosine of angle = length of adjacent side divided by the length of the hypotenuse.Tangent of angle = length of opposite side divided by the length of the opposite side.For the angle A, we have that:
The opposite side is of 13.The hypotenuse is of 15.Applying the sine ratio, the angle measure is given as follows:
sin(A) = 13/15
A = arcsin(13/15)
A = 60º.
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Find the magnitude and vector
-22.2m
12.6m
The magnitude of the vector is 25.5 metres.
How to find magnitude of a vector?The magnitude of a vector is the length of the vector. Therefore, the magnitude of a vector can be found using Pythagoras's theorem as follows:
Hence,
c² = a² + b²
where
c = hypotenusea and b are the other legsTherefore,
| N | = √22.2² + 12.6²
| N | = √492.84 + 158.76
| N | = √651.6
| N | = 25.5264568634
| N | = 25.5 metres
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Point R is located at (1,1) on the coordinate plane. Point R is reflected over the y-axis to create point R ′ . Point R' is then reflected over the x-axis to create point R''. What ordered pair describes the location of R''?
Answer:
Step-by-step explanation:
Here's a step-by-step explanation of the reflections:
Point R is located at (1, 1) on the coordinate plane.
Reflection over the y-axis: This reflection changes the sign of the x-coordinate. In other words, if the point (x, y) is reflected over the y-axis, the reflected point will be ( -x, y). So, for point R at (1, 1), the reflection over the y-axis creates R' at (-1, 1).
Reflection over the x-axis: This reflection changes the sign of the y-coordinate. In other words, if the point (x, y) is reflected over the x-axis, the reflected point will be (x, -y). So, for point R' at (-1, 1), the reflection over the x-axis creates R'' at (-1, -1).
So the final location of R'' is at the ordered pair (-1, -1).
Solve for B, please.
Answer:
b = 30
Step-by-step explanation:
You want the value of b given line y = 20x +b passes through the points (6, 150) and (11, 250).
Solve for bThe equation y = 20x +b can be solved for b:
b = y -20x . . . . . . . . subtract 20x
Using the given point (x, y) = (6, 150), you have ...
b = 150 -20(6) = 150 -120
b = 30
In this picture B,D, and F are
midpoints. AC=50, CE=60, and
BD=35
B
AE=[? ]
The measure of the side AE would be 70 units.
What is the triangle midpoint theorem?We know that the triangle midpoint theorem says that the line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side.
In the given triangle B, D, F are the midpoints of the triangle.
AC=50, CE=60,
BD=35
Then, in the given triangle if BD is connecting the midpoints of AC and CE then it must be parallel to AE and equal to FE ( half of AE).
⇒ BD ≅ FE= 1/2 AE
AE = 70 units
Then, the length of line segment AE = 70 units
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A group of 500 middle school students were randomly selected and asked about their preferred television genre. A circle graph was created from the data collected.
a circle graph titled preferred television genre, with five sections labeled drama 14 percent, sports 22 percent, documentaries 24 percent, reality 20 percent, and sci-fi
How many middle school students prefer the Sci-Fi television genre?
100
80
72
20
Answer:
The answer is 100, see Step-by-step explanation:
Step-by-step explanation:
If anyone looks at the verified answer, its wrong and so are the comments under it. In the answer above it says "Sci-fi = 100-24-22-20-14=20" that is correct but the answer is not. 20 percent of 500 is 100 not 72 or 20, I don't know how anyone got those answers.
Hi there please help :)
Answer:
∠ a = 30° , ∠ b = 90°
Step-by-step explanation:
∠ a and 150° are a linear pair and sum to 180° , that is
∠ a + 150° = 180° ( subtract 150° from both sides )
∠ a = 30°
------------------
the sum of the 3 angles in a triangle = 180° , that is
∠ b + ∠ a + 60° = 180°
∠ b + 30° + 60° = 180°
∠ b + 90° = 180° ( subtract 90° from both sides )
∠ b = 90°
(Score for Question 2: of 5 points)
-
2. Explain how to calculate 7% of 250 by first calculating 1% of 250.
Answer:
Math
Answer:
Note that 0.01 is the decimal form of 1%, so 0.01 multiplied by 7 yields 7%. So, if we were to find 1% of 250, which is 2.5, we can multiply the value by 7, which is 17.5.
Therefore, 7% of 250 is 17.5
Please help bro I need help solving this polynomial and terms
The expression represents a quintic polynomial with 4 terms. The constant term is -6, the leading term is x⁵/2, and the leading coefficient is 1/2.
What is a polynomial expression?A polynomial expression is a mathematical equation in which the polynomial is set to zero. The equation is made up of variables, non-negative integer exponents, coefficients, arithmetic operations, and an equal sign.
From the polynomial expression given:
[tex]\dfrac{1}{2}x^5 - 6 - x^4 -5x^2[/tex]
The degree of a polynomial is the highest degree of its terms which helps us to determine the type of polynomial (quintic polynomial). The constant term is -6.
The leading term in a polynomial is the term with the highest degree = x⁵/2. The leading coefficient of a polynomial is the coefficient of the leading term is 1/2.
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Answer:
quadrinomial, 4, -6, 1/2x^5, 1/2
Step-by-step explanation:
quadrinomials are polynomials with 4 terms
constant is the number with no variable
leading term is the term at the beginning
leading coefficient is the number at the beginning
Julie plans to invest her bonus of P100, 000.00 in two banks. The first bank earns an interest of 6% per annum while the other bank earns 8% interest per annum. If she wants her investment to earn a total interest of exactly P7, 200.00 after a year, how much does she need ot invest in each bank?
The amount of money that is invested in the first and second accounts will be 40,000 and 60,000, respectively.
What is the solution to the equation?The possible value of the variables that satisfy the equation which is known as the solution of the equation.
The interest is given as,
I = PRT / 100
Let 'x' be the amount invested in the first bank. Then the amount of investment in the second bank is (100,000 - x). Then the equation is given as,
x · 0.06 · 1 + (100,000 - x) · 0.08 · 1 = 7,200
0.06x + 8,000 - 0.08x = 7,200
-0.02x = -800
x = 40,000
The amount in the second bank is given as,
⇒ 100,000 - 40,000
⇒ 60,000
The amount of money that is invested in the first and second accounts will be 40,000 and 60,000, respectively.
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Find the degree, leading coefficients, and the maximum number of real zeros of the polynomial.
f
(
x
)
=
2
x
5
−
x
3
+
x
6
−
4
Degree =
Leading Coefficient =
Maximum number of real zeros =
The degree of the polynomial is; 6.
The leading coefficient of the polynomial is; 1.
The maximum number of real zeroes is; 6.
What is the degree of the polynomial?As evident in the task content; the given polynomial is;
f (x) = 2x⁵ - x³ + x⁶ - 4.
By observation, the term with the highest power of x is; x⁶.
Therefore, the degree is; 6.
The leading coefficient is the coefficient of x⁶ which is; 1.
The maximum number of real zeroes possible is dependent on the degree of the polynomial and is; 6.
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On a standard dice, what is the probability of not landing a 3
Answer:
5/6
Step-by-step explanation:
A polynomial function can be written as (x − 2)(x − 3)(x + 5). What are the x-intercepts of the graph of this function?
The x-intercepts of the graph of the given polynomial function as described is; 2, 3 and -5.
What are the x-intercepts of a polynomial function?The x-intercepts of a polynomial function are otherwise termed, roots, solutions or zeroes of the polynomial function.
On this note, the x-intercepts of the polynomial function which is as described in this scenario are;
x - 2 = 0; x = 2.
x - 3 = 0; x = 3.
x + 5 = 0; x = -5.
Ultimately, the x-intercepts of the polynomial function in discuss are; 2, 3 and -5.
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PLEASE HELP!!!
A survey was conducted in which the customer service representatives of two companies were rated on a scale of 1 to 6. The graph below shows customer service ratings of 20 representatives. The interquartile range for each company is 3. The difference between the median rating for each company is approximately how many times the interquartile range?
The difference between the median rating for each company is approximately 0.3 times the interquartile range.
How to calculate the median service rating?Generally speaking, the median for 20 observations is the average of the 10th and 11th number:
Median rating of Company A = (4 + 4)/2
Median rating of Company A = 8/2
Median rating of Company A = 4.
Median rating of Company B = (3 + 3)/2
Median rating of Company B = 6/2
Median rating of Company B = 3.
Difference in median = 4 - 3
Difference in median = 1
For the required expression that models the difference between the median rating for each company and the interquartile range, we have the following:
1 = 3x
x = 1/3.
x = 0.3
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Please help me with this question please
Answer:
51°
Step-by-step explanation:
180°-129°=51°
I hope it helps you
find value of x please help
Answer:
...here is the answer...
NEED HELP FAST for 25pts
The coordinates of point C in the given right triangle ABC is (2, 2√3-2)
What is a triangle?A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.
Given that, triangle ABC is a 30°-60°-90° triangle, where two vertices are A(-4, -2) and B(4, -2).
Now, AB=4-(-4)=8
AC=AB×sin60°= 8×√3/4√3
In right triangle ACD
AD=AC×cos30°
= 4√3×√3/2
= 6
Xc=6-4=2
Yc=AC×sin30°-2
= 4×3×1/2-2
= 2√3-2
The coordinates of point C(2, 2√3-2)
Therefore, coordinates of C(2, 2√3-2).
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Find the average rate of change of the function on the intervals specified for a real number h F(x) =6x^2 + 5. On [ x,x+h]
Step-by-step explanation:
The average rate of change of a function on an interval [x, x + h] is given by the formula:
(F(x + h) - F(x)) / h
For the function F(x) = 6x^2 + 5, the average rate of change on the interval [x, x + h] is:
(F(x + h) - F(x)) / h = (6(x + h)^2 + 5 - (6x^2 + 5)) / h = (6(x^2 + 2xh + h^2) - 6x^2 + 5) / h = (6(2xh + h^2)) / h = (12xh + 6h^2) / h
So the average rate of change of the function on the interval [x, x + h] is (12xh + 6h^2) / h for a real number h.
PLEASE ANSWER I WILL MARK YOU AS BRAINLIEST
Oz Jeans has factories in Medney and Selbourne. At the Mydney factory, fixed costs are $28 000 per month and the cost of producing each pair of jeans is $30. At the Selbourne factory, fixed costs are $35 2000 per month and the cost of producing each pair of jeans is $24. During the next month Oz Jeans must manufacture 6000 pairs of jeans. Calculate the production order for each factory, if the total manufacturing costs for each factory are to be the same.
The total manufacturing costs for each factory are to be the same is M = 3318.52.
Let's denote the number of pairs of jeans produced at the Medney factory as M, and the number of pairs of jeans produced at the Selbourne factory as S.
We can set up the following system of equations based on the given information:Total cost of production at the Medney factory = Total cost of production at the Selbourne factory
28000 + 30M = 35200 + 24S
Total number of pairs of jeans produced = 6000
M + S = 6000
We can solve for M and S by using substitution or elimination. Here, we will use substitution:
M + S = 6000 (from equation 2)
M = 6000 - S (subtracting S from both sides)
28000 + 30M = 35200 + 24S (from equation 1)
Substituting M = 6000 - S:
28000 + 30(6000 - S) = 35200 + 24S
180000 - 30S = 35200 + 24S
180000 = 54S + 35200
54S = 144800
S = 2681.48
So the number of pairs of jeans produced at the Selbourne factory is approximately 2681.48. To find the number of pairs of jeans produced at the Medney factory, we can substitute this value of S back into equation 2:
M + S = 6000
M + 2681.48 = 6000
M = 3318.52
So the number of pairs of jeans produced at the Medney factory is approximately 3318.52.
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Line AB contains points A(4, 5) and B(9, 7). What is the slope of AB?
Answer:
Step-by-step explanation:
The slope of a line can be found using the formula:
slope = (y2 - y1) / (x2 - x1)
Where (x1, y1) and (x2, y2) are the coordinates of two points on the line. In this case, we can use points A(4, 5) and B(9, 7):
slope = (7 - 5) / (9 - 4) = 2 / 5
So, the slope of line AB is 2/5.
Find the exact value of x
Answer:
[tex] \frac{1}{2} \times 25 \times 10 = 125 [/tex]
[tex] \frac{1}{2} \times breath \times perpedicular \: hight[/tex]
Ezra 1:9,10 records that King Cyrus returned thirty gold chargers, one thousand silver chargers, twenty - nine knives, thirty gold basons, four hundred ten silver basons, and one thousand other vessels. How many items did Cyrus return to Israel?
Answer:
2489
Step-by-step explanation:
it would be 30+ 1,000+29+30+400+1,000+ 2489
I really hope this helps
Proverbs 4:6-7
Do not forsake wisdom, and she will protect you; love her, and she will watch over you. The beginning of wisdom is this: Get wisdom. Though it cost all you have, get understanding. Cherish her, and she will exalt you; embrace her, and she will honor you. (just a little encouragement to keep studying hard!)
Answer:
2489
Step-by-step explanation:
