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2 years ago

Help me I’m in class lol

Mathematics

1 answer:

uranmaximum [27]2 years ago

3 0

Answer:

1. The height is 9 feet

2. The height will increase. The new height is 15

3. The total cost will be $1,875

Step-by-step explanation:

15² = (24÷2)² + h²

Step 1: Simplify both sides of the equation.

225=h²+144

Step 2: Subtract h^2 from both sides.

225−h²=h²+144−h²

−h²+225=144

Step 3: Subtract 225 from both sides.

−h²+225−225=144−225

−h²=−81

Step 4: Divide both sides by -1.

−h²/-1 = −81/-1

h² = 81

Step 5: Take square root.

√h² = √81

h = 9

2. 18² = 10² + h²

Step 1: Simplify both sides of the equation.

324=h²+100

Step 2: Subtract h^2 from both sides.

324−h²=h²+100−h²

−h²+324=100

Step 3: Subtract 324 from both sides.

−h²+324−324=100−324

−h²=−224

Step 4: Divide both sides by -1

−h²/-1 = −224/-1

h² = 224

Step 5: Take square root

√h² = √224

h = 14.96663

round the number to the nearest whole number

h = 15

3. Find the area of the of the material. (length × height) ÷ 2

length = 20feet

height = 15feet

20 × 15 ÷ 2

300 ÷ 2

150

Area = 150feet

Since the sun shade costs 12.50 per square foot, and the sun shade is 150feet, we must multiply them

12.50 × 150 = 1,875

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