Answer:
Heating and cooling costs might vary considerably.
Use the property of similarity of triangles =》the corresponding sides of a triangle should be in the same ratio.
Take the missing side as 'x'.
The corresponding sides here are,
■ 7 & 14 ft
■ 5 & x ft
7/14 = 5/x
7x = 5 × 14 (cross multiplication)
7x = 70
x = 70/7
x = 10 ft
Height of the tree = 10 ft.
_____
Hope it helps ⚜
Using the elimination method, the value of x in the system of equations is calculated as: 8.
<h3>How to Solve a System of Equations by Elimination?</h3>
To solve a system of equations given using the elimination method, do the following:
Multiply 2x - 5y = 1 by 2 and multiply -3x + 2y = -18 by 5 to get the following:
4x - 10y = 2 --> eqn. 1
-15x + 10y = -90 --> eqn. 2
Add
-11x = -88
Divide both sides by -11
x = 8
Learn more about system of equations on:
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Answer:
length = 10 cm; width = 25 cm
Step-by-step explanation:
Let's call the length 2x and the width 5x. Since perimeter can be calculated by multiplying the sum of the length and width by 2 we can write:
2 * (2x + 5x) = 70
2 * (7x) = 70
7x = 35
x = 5 which means the length is 2 * 5 = 10 and the width is 5 * 5 = 25.
Answer:
the answer is C. 210 sq. cm
Step-by-step explanation:
Find the area of the triangle
The area of one of the triangular faces can be found by using the formula below.
a = 1/2 bh
a = 1/2 (5 cm) (12 cm)
a = 30 sq. cm
Since there are two triangular faces, multiply the area of one triangular face by 2. The area of two triangular faces is 60 cm2.
Next, find the area of each of the three rectangular faces using the formula, area = lw.
1st rectangle
a = lw
a = (5 cm) (5 cm)
a = 25 sq. cm
2nd rectangle
a = lw
a = (5 cm) (12 cm)
a = 60 sq. cm
3rd rectangle
a = lw
a = (5 cm) (13 cm)
a - 65 sq. cm
Add the three rectangle areas to find a total of 150 sq. cm.
To find the surface area of the triangular prism, add the area of the two triangular faces to the area of the three rectangular faces.
60 sq. cm + 150 sq. cm = 210 sq. cm