Answer:
angle D equal to 3 X + 20 + 7 x minus 3 x
=90 degree equal to x minus 3 X + 20
7 X equal to 70 X equal to 10
Answer:
3053.63
Step-by-step explanation:
Use the equation for sphere volume: 
Plug the values in and get
≈ 3053.63
Note: exact value of pi used.
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:
Cost of One Journal = $3.99
Cost of One pen = $0.59
Step-by-step explanation:
Let
Cost of One Journal = x
Cost of One pen = y
We can make equation from given statements.
Mr. Bowden purchases 18 journals and 40 pencils for $95.42.

Ms. Jacinto purchases 11 journals and 16 pencils for $53.33.

Now solving these equations to find the value of x

Multiply eq(1) with 2 and eq(2) with 5

We get the value of x is: x=3.99
Now, putting value of x in equation 1 to find value of y.

So, we get the value of y: y = 0.59
Now, finding the costs:
Cost of One Journal = x = $3.99
Cost of One pen = y = $0.59