Answer:
Step-by-step explanation:
P = 2(L + W)
P = 56
L = 12
now sub...we are looking for w
56 = 2(12 + W)
56 = 24 + 2W
56 - 24 = 2W
32 = 2W
32/2 = W
16 = W <==== the width is 16 inches
check...
P = 2(L + W)
56 = 2(12 + 16)
56 = 2(28)
56 = 56 (correct)
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
This would take 1000 weeks since 100000/100 is 1000
9514 1404 393
Answer:
(b) 48
Step-by-step explanation:
In this geometry, the altitude (x) is the root of the product of the segments of the hypotenuse.
x = √(36·64) = √36×√64 = 6×8
x = 48
_____
All of the triangles are similar, so the ratios of corresponding sides are the same.
short side/long side = x/64 = 36/x
x^2 = (64)(36) . . . . as above
Answer:
8x^2 - 26x + 33
Step-by-step explanation:
Add the expressions.
2x^2 - 13x + 12 + 6x^2 - 13x + 21 =
= 2x^2 + 6x^2 - 13x - 13x + 12 + 21
= 8x^2 - 26x + 33
