Answer:
#1
<u>Area of triangle backdrop:</u>
- A = 1/2bh = 1/2(10.5)(8.5) = 44.63 m²
<u>Area of the cloth:</u>
<u>Uncovered area:</u>
Choice A
#2
<u>Area of the cut piece:</u>
- A = πr² = 3.14*7.6² = 181.37 cm²
<u>Area of the square piece:</u>
<u>Remaining piece is:</u>
- 1156 - 181.37 = 974.63 cm²
Choice B
here is the data set for the complete question
x: 18 21 19 21 20 21
y; 2 14 5 6 18 18
Answer:
B. 0.652
Step-by-step explanation:
x y rank of x rank of y d d²
18 2 1 1 0 0
21 14 4 4 0 0
19 5 2 2 0 0
21 6 4 3 1 1
20 18 3 5.5 -2.5 6.25
21 18 4 5.5 -1.5 2.25
∑d² = 8.5
rs = 1 - 6[∑di² + ∑m(m²-1)]/n(n²-1)
= 1 - 6[8.5 +{3(3²-10/12 + 2(2² - 1)/12}]/6(6²-1)
= 1 - 0.348
= 0.652
therefore option b is the right answer.
The ball's maximum height is 30.25 feet.
<h3>What is quadratic equation?</h3>
A quadratic equation in math is a second-degree equation of the form ax² + bx + c = 0. Here a, b, are the coefficients, c is the constant term, and x is the variable.
Given:
h= -16t²+36t+10
Differentiate w.r.t. 't',
h' = -32t+36
When h=0, that will be the maximum height
32t= 36
t= 9/8
t= 1.125 sec.
So, The maximum height is
h(1.123)= -16(1.125)² + 36*1.125+10
h(1.125) = 30.25 feet.
Learn more about this concept here:
brainly.com/question/10335037
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Answer:
Solution is x=2. sorry if this is not what you are looking for!
Step-by-step explanation:
Answer:
7.5
Step-by-step explanation:
Using pythagoras theorem
Sqrt(9^2-5^2)=7.483