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
17. What are the minimum, first quartile, median, third quartile, and maximum of the data set? 40, 7, 2, 35, 12, 23, 18, 28
Rzqust [24]
First step! Arrange the numerals {<span>40, 7, 2, 35, 12, 23, 18, 28} in ascending order: {2, 7, 12, 18, 23, 28, 35, 40}
Count these numerals: there are 8 (an even number)
To find the median of this set of numerals, take the middle 2 values {18, 23} and average them: median = (18+23)/2 = 41/2
Now, on the left of 41/2, we have the subset {2, 7 , 12, 18}. The median of this subset is found in the same way as was 41/2 (above):
(7+12)/2 = 19/2 (First quartile)
The median of the right subset {</span>23, 28, 35, 40} is (28+35)/2, or 63/2. This is the 3rd quartile.
The max. is 40 (this is the largest numeral given).
Answer:
(-7, 7)
Step-by-step explanation:
The formula for calculating the coordinate point is expressed as;
M(X, Y) = (ax1+bx2/a+b, ay1+by2/a+b)
X = ax1+bx2/a+b
X = 2(-10)+3(-5)/2+3
X = -20-15/5
X = -35/5
X = -7
Y = ay1+by2/a+b
Y = 2(10)+3(5)/2+3
Y = 20+15/5
Y = 35/5
Y = 7
hence the required coordinate is (-7, 7)
Answer:
13-13i
Step-by-step explanation:
2(5+i)-3i(5+i)
10+2i-15i-3i²
10-13i+3
13-13i
