Answers
Answer:
x = 9, y = 4 and z = 6.67
Step-by-step explanation:
Since both the polygons are similar, by the property of similarity corresponding sides of the polygons will be proportional.
Therefore, [tex]\frac{x}{6}=\frac{12}{8}[/tex]
x = [tex]\frac{12\times 6}{8}[/tex]
x = 9
Similarly, [tex]\frac{10}{z}=\frac{12}{8}[/tex]
z = [tex]\frac{10\times 8}{12}[/tex]
z = [tex]\frac{20}{3}[/tex] = 6.67
And [tex]\frac{6}{y}=\frac{12}{8}[/tex]
y = [tex]\frac{8\times 6}{12}[/tex]
y = 4
Therefore, x = 9, y = 4 and z = 6.67 will be the values.
Related Questions
The area of a triangle is 17.5 square meters. The height of the triangle is 3 meters less than twice its base. The base of the triangle is x meters. Complete the equation that represents this description and fill in the values for the base and height of the triangle. The equation modeling the described triangle is x2 + x + = 0. The base of the triangle is meters. The height of the triangle is meters.
Answers
Answer:
A = ½ * base * height
A = ½ * x * (2x-3)
17.5 = ½ * (2x² - 3x)
35 = 2x² - 3x
0 = 2x² - 3x - 35
2x² - 3x - 35 = 0 .......... (the equation)
(2x + 7)(x - 5) = 0
2x + 7 = 0
2x = - 7
x = -7/2 = -3.5
x-5 = 0
x = 5
since we have two result of x, then we can choose the positive one x = 5
so the base is 5 m and the height is
h = (2x - 3) = 2*5 - 3 = 10-3 = 7 m
PLEASE HELP I HAVE A TIMER
In the diagram, the measure of angle 1 is (3x)°, and the measure of angle 2 is (12x)°
A transversal intersects 2 lines to form 8 angles. Clockwise from the top left, the angles are 1, 2, 3, 4; 5, 6, 7, 8.
What is the measure of angle 4?
36°
45°
135°
144°
Answers
Answer:
144 degrees.
Step-by-step explanation:
Draw yourself a diagram with 2 horizontal lines and a transversal cutting across it.
After labeling, you will see that angle 4 is the same as angle 1. You can also see that angle 1 and 2 add up to 180, as they are sitting on a straight line.
First, before we get to the angle of 4, we have to find the value of x:
1) angle 1 + angle 2 = 180
3x + 12x = 180
2) solve the above equation for x
15x = 180
3) divide both sides by 15 for x
x= 12 degrees
We know that angle 4 is the same as angle 2, which is 12x degrees.
So, now that we know what x is, 12 x 12 degrees = 144 degrees.
Hope this helped : )
The measure of angle ∠4 is 144°
What are Parallel Lines Cut by Transversal?Straight, equally spaced lines that never cross each other and are on the same plane are called parallel lines. The angles that are created when any two parallel lines are intersected by a line (referred to as the transversal) have a relationship. Corresponding angles, Alternate Interior Angles, Alternate Exterior Angles, and Consecutive Interior Angles are some of the several pairs of angles that are created at this intersection.
Corresponding angles
When two parallel lines are intersected by a transversal, the corresponding angles have the same relative position
Alternate Interior Angles
Alternate interior angles are formed on the inside of two parallel lines which are intersected by a transversal.
Alternate Exterior Angles
The pairs of angles formed on either side of a transversal that divides two parallel lines are known as alternate exterior angles.
Consecutive Interior Angles
When two parallel lines are cut by a transversal, the pairs of angles formed on the inside of one side of the transversal are called consecutive interior angles or co-interior angles.
Given data ,
The measure of angle 1 = ( 3x )°
The measure of angle 2 = ( 12x )°
Angle 1 and Angle 2 are on the straight lines
So , the sum of the measures of angles = 180°
On simplifying the equation , we get
3x + 12x = 180
15x = 180
Divide by 15 on both sides of the equation , we get
x = 12
Substituting the value of x in the equation , we get
The measure of angle 2 = measure of angle 4 ( corresponding angles )
So , the measure of angle 4 = ( 12x )°
And , the measure of angle ∠4 = 144°
Hence , the angle ∠4 = 144°
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One batch of cookies takes two and two-fifths cups of milk. How many cups of milk will 25 batches of cookies require?
Answers
Answer:
60 cups.
Step-by-step explanation:
2 x 25 = 50
2/5 x 25 = 10
50 + 10 = 60
If the diagonal distance covered by the stairs pictured is 25 feet, and the horizontal distance is 15 feet, what is the height of the stairs? Round your answer to the nearest foot if necessary
25 feet
22 feet
400 feet
20 feet
Answers
Answer: 20 feet
Step-by-step explanation:
Hi, since the situation forms a right triangle we have to apply the Pythagorean Theorem:
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (in this case the diagonal distance covered by the stairs) and a (horizontal distance) and b (vertical distance) are the other sides.
Replacing with the values given:
25^2 = 15^2 + b^2
625 = 225 + b^2
625-225 = b^2
400= b^2
√400 =b
b =20 feet
Feel free to ask for more if needed or if you did not understand something.
Answer: 20 feet
Step-by-step explanation:
From the question, the diagonal distance covered by the stairs is 25 feet, and the horizontal distance is 15 feet. To calculate the height of the stairs, we will use the Pythagoras rule
The square of the diagonal will be equal to the addition of the square of the horizontal distance and the square of the height. This will be:
25² = 15² + height²
height² = 25² - 15²
height² = 625 - 225
height² = 400
height = ✓400
height = 20 feet
The height of the stairs is 20 feet
Use the Fundamental Theorem of Calculus to find the area of the region between the graph of the function x5 + 8x4 + 2x2 + 5x + 15 and the x-axis on the interval [–6, 6]. Round off your answer to the nearest integer.
Question 15 options:
25,351 units2
149,473 units2
3,758 units2
2,362 units2
Answers
Answer:
The area of the region between the graph of the given function and the x-axis = 25,351 units²
Step-by-step explanation:
Given x⁵ + 8 x⁴ + 2 x² + 5 x + 15
If 'f' is a continuous on [a ,b] then the function
[tex]F(x) = \int\limits^a_b {f(x)} \, dx[/tex]
By using integration formula
[tex]\int{x^n} \, dx = \frac{x^{n+1} }{n+1} +c[/tex]
Given x⁵ + 8 x⁴ + 2 x² + 5 x + 15 in the interval [-6,6]
[tex]\int\limits^6_^-6} (x^{5} + 8 x^{4} + 2 x^{2} + 5 x + 15) )dx[/tex]
On integration , we get
= [tex](\frac{x^{6} }{6} + \frac{8 x^{5} }{5} + 2 \frac{x^{3} }{3} +\frac{5 x^{2} }{2} + 15 x)^{6} _{-6}[/tex]
[tex]F(x) = \int\limits^a_b {f(x)} \, dx = F(b) -F(a)[/tex]
= [tex](\frac{6^{6} }{6} + \frac{8 6^{5} }{5} + 2 \frac{6^{3} }{3} +\frac{5 6^{2} }{2} + 15X 6) - ((\frac{(-6)^{6} }{6} + \frac{8 (-6)^{5} }{5} + 2 \frac{(-6)^{3} }{3} +\frac{5 (-6)^{2} }{2} + 15 (-6))[/tex]
After simplification and cancellation we get
= [tex]\frac{2 X 8 X (6)^{5} }{5} + \frac{2 X 2 X (6)^3}{3} + 2 X 15 X 6[/tex]
on calculation , we get
= [tex]\frac{124,416}{5} + \frac{864}{3} + 180[/tex]
On L.C.M 15
= [tex]\frac{124,416 X 3 + 864 X 5 + 180 X 15}{15}[/tex]
= 25 351.2 units²
Conclusion:-
The area of the region between the graph of the given function and the x-axis = 25,351 units²
plz help ill mark u brainliest
Answers
Answer:
1/6
Step-by-step explanation:
P(3) = number of three's / total number of outcomes
= 1/6
Oh yikes this is a hard one!
Divide and answer in simplest form
A. 1/15
B. 15/1
C. 3/5
D. 5/3
Answers
Answer:
A.
Step-by-step explanation:
[tex]\frac{1}{3}[/tex] ÷ 5 = [tex]\frac{1}{3}*\frac{1}{5} =\frac{1}{15}[/tex]
1/15 the answer is A
What is the volume of the cylinder below?
Answers
Answer:
No picture
Step-by-step explanation:
The picture isnt attached :( but the equation for the volume of a cylinder is: Hx [tex]\pi r^{2}[/tex]
H= height R: Radius
So for example if the height was 10 and the radius was 2 you would do the following:
Hx[tex]\pi r^{2}[/tex]
= 10x 3.14x[tex]2^{2}[/tex]
= 10x 3.14x 4
= 10x 12.56
= 125.6cm^3 :)
[tex]\pi r^{2}[/tex] is the equation on finding the are of the circle (bottom circle or top circle) we then multiply is by its height because its like the circle being stacked up together until it reaches the height. :) Hope this helps
Can someone help me asap
Answers
The right answer is 2.8
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Sjjsjsjs jsjsjzjz jsjsjzjz!
Which expression represents the product of 25 and 9 divided by 52
Answers
Answer:
(25*9)/52
Step-by-step explanation:
Answer:
225/9
Step-by-step explanation:
Product of 25 and 9
------------------------------ = 225/52
52'
When you are given answer choices, please share them. Thanks.
12. A package of 4 chocolate bars cost $3.29.
What is the price per chocolate bar? (Round to 2 decimal places)
Answers
Answer:
$0.82
Step-by-step explanation:
The full answer is 0.8225, although I believe that I was supposed to round it to the nearest hundredth, so I did that. What I did was I divided 3.29 by 4.
Answer:
.82 per chocolate bar
Step-by-step explanation:
Take the price and divide by the number of chocolate bars
3.29/4
.8225
Rounding to two decimal places
.82 per chocolate bar
8-2x<4 solve inequality
Answers
Answer:
x > 2
x ∈ ( +2 ; + oo )
Step-by-step explanation:
8 - 2x < 4
8 - 4 < 2x
4 < 2x | : 2
2 < x
x > 2
x ∈ ( +2 ; + oo )
Please help as quickly as possible
Answers
Answer:
The next fraction in the sequence is:
4/27Step-by-step explanation:
How you can see, the fractions are decreasing as the sequence advance, to identify the proportion in which it decreases, we will divide the first and the second fractions:
3/4 / 1/2 = 3/2 or 1.5Now, we just need to divide all the fractions in 3/2 to identify the next fraction, as I show below:
3/4 / 3/2 = 1/2 1/2 / 3/2 = 1/3 1/3 / 3/2 = 2/9 2/9 / 3/2 = 4/27As you can see, all the results own to the sequence given, for this reason, the last result 4/27 is the correct fraction next to 2/9.
Please Answer Quick!!! Will Give Brainliest!!!
1.) Rita used a compass to draw a circle with a radius of 3 cm. What was the circumference of the circle? (Use 3.14 for π.)
2.) If 20% of the 50 pennies in the roll were minted before the year 2000, then how many of the pennies were minted before 2000?
Answers
Answer:
1. 18.84cm
2. 10 Pennies
Step-by-step explanation:
Question 1:
Circumference Formula = 2 x π x radius
We will substitute π for 3.14 so the circumference = 2 x 3.14 x radius
The radius is 3 so the circumference = 2 x 3.14 x 3
2 x 3.14 x 3 = 18.84cm
Question 2:
20% as a decimal is 0.2
To find the answer just find 20% of 50
50 x 0.2 = 10
Therefore 10 pennies were minted before 2000
Solve the equation. –3|y – 3| = 9
Answers
Answer:
y = 0
Step-by-step explanation:
-3(y-3)=9
One solution was found :
y = 0
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
-3*(y-3)-(9)=0
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(0 - 3 • (y - 3)) - 9 = 0
Step 2 :
Equation at the end of step 2 :
-3y = 0
Step 3 :
Solving a Single Variable Equation :
3.1 Solve : -3y = 0
Multiply both sides of the equation by (-1) : 3y = 0
Divide both sides of the equation by 3:
y = 0
Answer:
No solution
Step-by-step explanation:
–3|y – 3| = 9
⇌ (Divide both sides by -3)
|y – 3| = -3 impossible
because |y – 3| is greater than 0 and -3 is less than 0.
Lt. Bartlett spent 2 hours doing push ups, 1 hour doing sprints, and 1.5 hours benching 400 lbs. What percentage of time was spent sprinting? please explain how you get the answer, I want to understand on my own and math is a struggle for me.
Answers
If Lt. Bartlett spent 2 hours doing push ups, 1 hour doing sprints, and 1.5 hours benching 400 lbs, the percentage of time he spent sprinting is 22.2%.
What is Percentage?Percentage is simply number or ratio expressed as a fraction of 100.
It is expressed as;
Percentage = ( Part / Whole ) × 100%
Given that;
Time spent on push ups = 2 hoursTime spent on sprints = 1 hoursTime spent on benching = 1.5 hoursPercentage of time spent sprinting P = ?First we determine the total time.
T = tPUSHUPS + tSPRINT + t BENCHING
T = 2hrs + 1hr + 1.5hrs
T = 4.5hrs
Now, percentage of time spent sprinting P will be;
Percentage = ( Part / Whole ) × 100%
Percentage = ( tSPRINT / Total time ) × 100%
P = ( 1hr / 4.5hr ) × 100%
P = ( 0.2222 ) × 100%
P = 22.2%
Therefore, if Lt. Bartlett spent 2 hours doing push ups, 1 hour doing sprints, and 1.5 hours benching 400 lbs, the percentage of time he spent sprinting is 22.2%.
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PLSSSSS HELPPPP!!! A data set has a mean of 72 and a standard deviation of 3.5. The z-score for a data point is -1.2. What is the data point?
Answers
Answer:
D. The data point is 2.5 standard deviations away from 0.5.
Step-by-step explanation:
Z-score is the measure of how many number of standard deviations, the data point, is away from the mean. It also measures how many standard deviations below or above the population mean, a raw score is.
Given, a set of data has a mean (μ) of 0.5 and a standard deviation (σ) of 0.01 with a data point of the set has a z-score of 2.5.
i.e the data point is 2.5 standard deviations away from the mean 0.5.
Hope this helped!
I don’t need you to explain just answer.
Answers
Answer:
Simplify the expression.
i could not type in exponent so just open the screen shot
Step-by-step explanation:
i Hope it works
Write the equation of the line parallel to y = (3/5)x -9 and goes through the point
(-3, 8).
y + 3 = (-3/5)(x +5)
y + 8 = (5/3)(x - 3)
y - 3 = (3/5)(X + 8)
y - 8 = (3/5)(x + 3)
Answers
Answer:
y - 8 = (3/5)(x + 3)
Step-by-step explanation:
Is (–6, 6) a solution to the equation y = –x?
Answers
Answer:
Yes
Step-by-step explanation:
Yes since y is the negative of x like 6=-(-6)
Answer:
Yes.
Step-by-step explanation:
Because 6 is Y axis and -6 is the X axis. So therefore the equation is right.
thomas has 4 blocks colored blue,red,green and yellow. How many different ways can he combine them on a shelf?
Answers
Answer: 24
Step-by-step explanation:
Take the factorial of that number.
4! = 4*3*2*1=24
please help me with this question (pic attached) explain if you can
Answers
Answer:
For x=1 substituting in f(x) the value of x
f(1)=-3(1)+1 = -2
For x=0 substituting in g(x) the value of x
g(0)=3^(0) =1
Finally, we have to find for what value of x the function f(x) gives -8
f(x) = -8
-8 = -3x+1
-3x=-9
x=3
Which shows the pre-image of quadrilateral W'X'Y'Z' before the figure was rotated according to the rule (x,y) → (-x, -y)?
у
6
5
Z
Y'
4
3
X
2
1
х
1. 2. 3. 4. 5. 6
6.-5.4-3-2-11
-2
5
LE
Ty
Answers
Answer:
W(-2, -3), X(-6, -3) , Y(-6, -4) and Z(-3, -5)
Step-by-step explanation:
In the figure attached, the quadrilateral W'X'Y'Z' is shown. Its coordinates are W'(2, 3), X'(6, 3), Y'(6, 4) and Z'(3, 5). Transforming these points according to the rule (x,y) → (-x, -y) we can get the pre-image, quadrilateral WXYZ, as follows:
W'(2, 3) -> W(-2, -3)
X'(6, 3) -> X(-6, -3)
Y'(6, 4) -> Y(-6, -4)
Z'(3, 5) -> Z(-3, -5)
Answer:
the answer is A
Step-by-step explanation:
Mark me brainliest
You bought groceries last week. You used coupons and saved 25% on your grocery bill. You saved $8.80. How much was your bill before coupons?
Answers
Answer:
$35.2
Step-by-step explanation:
% saved = 25%
Money saved = $8.80
Let x be the bill before the coupon discount.
25/100 × x = 8.80
x = $35.2
Help mee pweaseeeeeee :)))
Answers
Answer: .4
Step-by-step explanation:
.
Answer plz!
Which choices are equivalent to the quotient below? Check all that apply.
Answers
Answer:
A, C, and E are correct
Step-by-step explanation:
HELP ASAP!!!! There is a clip below.
Answers
Answer:
3.125
Step-by-step explanation:
We just multiply the dimensions together and when we do so we get 3.125.
Can someone help me with this?
Answers
The right answer is 40
please see the attached picture for full solution
Hope it helps
Which line segment shows the base that corresponds to the given height of the triangle?
Answers
Answer:
A
Step-by-step explanation:
The height of the triangle is always perpendicular to the base. Therefore, in this figure, the base of the triangle corresponds to segment A
help on this translation, please :)
Answers
Answer:
1) False, the point would get flipped diagonally, to -4, 4.
2) True, the point would get flipped diagonally, to -2, 6
3) False, the point would get flipped diagonally, to -3, 1
4) True, the point would get flipped diagonally, to 5, 2
5) True, the point would get flipped diagonally, to 7, 5
6) False, the point would get flipped diagonally, to -9, 3
7) True, the point would get flipped diagonally, to -5, 4
8) True, the point would get flipped diagonally, to 2, 1
Answer:
1. true
2. false
3. true
4. false
5. false
6. true
7. false
8. false
Step-by-step explanation:
DONT TRUST ME ON THESE ANSWERS CAUSE IM NOT 100% SURE :0
