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olga_2 [115]
4 years ago
14

Two similar triangles have a scale factor of 3:5. The altitude of the larger triangle is 24 inches. What is the altitude of the

smaller triangle?​
Mathematics
1 answer:
Phoenix [80]4 years ago
5 0

Answer: The altitude of the smaller triangle is 14.4 inches

Step-by-step explanation:

Two similar triangles have a scale factor of 3:5. This can also be expressed as 3/5

The altitude of the larger triangle is 24 inches. The difference in altitude or other lengths of the two similar triangles is linear. To determine the altitude of the smaller triangle, let us assign x to the altitude of the smaller triangle. It means that 3:5 = x : 24. Therefore

3/5 = x/24

Cross multiplying, it becomes

5x = 3×24 = 72

x = 72/5 = 14.4

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Write the standard equation of a circle with center (-1, 4) and radius 5
Wittaler [7]

Answer:

(x + 1)² + (y - 4)² = 25

Step-by-step explanation:

The general equation for a circle is given by the formula;

x² + y² + 2hx + 2ky + c = 0 ......equation 1.

Where the center is C(-h, -k)

Also, the standard form of the equation of a circle is;

(x - h)² + (y - k)² = r² ......equation 2.

Where;

h and k represents the coordinates of the centre.

r represents the radius of the circle.

Given the following data;

h = -1

k = 4

r = 5

Substituting into eqn 2, we have;

(x - {-1})² + (y - 4)² = 5²

Simplifying further, we have;

(x + 1)² + (y - 4)² = 25

7 0
3 years ago
1. If 8x + 4y = 44, what is the value of 6x + 3y?
rewona [7]

The value of the expression 6x+3y is 33

<h3>System of equations</h3>

System of equations consists of two or more equation with unknown variables.

Given the equation below

8x + 4y = 44,


Factor out 4 from the equation to have:

4(2x+y) = 44

Divide both sides by 4

2x+y = 11

Determine the value of 6x+3y

6x+3y = 3(2x+y)

6x+3y = 3(11)

6x+3y =33

Hence the value of the expression 6x+3y is 33

Learn more on equation and expression here: brainly.com/question/723406

#SPJ1

7 0
2 years ago
Lexi 's bulletin board is 40 centimeters wide. Each of her ribbons is 4 centimeters wide, and her photos are 12 centimeters wide
LekaFEV [45]
So im not sure if it correct but I got 1,920
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Ierofanga [76]

Answer:

7,250.

Step-by-step explanation:

8 0
3 years ago
Please help me i need it
xz_007 [3.2K]
B because its in parenthesis, x to the square and y to the square
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