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Alisiya [41]
3 years ago
7

If the basketball hoop is 10 ft high and located 15 ft away, what initial velocity v should the basketball have?

Mathematics
1 answer:
dybincka [34]3 years ago
7 0
150 is the velocity because you do 10 x 15

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In a circle with center C and radius 6, minor arc AB has a length of 4pi. What is the measure, in radians, of central angle ACB?
valina [46]
To solve this problem, we need to know that 
arc length = r θ  where θ is the central angle in radians.

We're given
r = 6 (units)
length of minor arc AB = 4pi
so we need to calculate the central angle, θ
Rearrange equation at the beginning,
θ = (arc length) / r = 4pi / 6 = 2pi /3

Answer: the central angle is 2pi/3 radians, or (2pi/3)*(180/pi) degrees = 120 degrees
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3 years ago
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Are all rational equation solutions valid?
Semenov [28]

Answer:

a

Step-by-step explanation:

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3 years ago
Two numbers whose sum is 44 and whose product is a maximum
Mashcka [7]

Answer:

x = y = 22

Step-by-step explanation:

It would help to know your math course. Do you know any calculus? I'll assume not.

Equations

x + y = 44

Max = xy

Solution

y = 44 - x

Max = x (44 - x)                    Remove the brackets

Max = 44x - x^2                   Use the distributive property to take out - 1 on the right.

Max = - (x^2 - 44x )               Complete the square inside the brackets.

Max = - (x^2 - 44x + (44/2)^2 ) + (44 / 2)^2 . You have to understand this step. What you have done  is taken 1/2 the x term and squared it. You are trying to complete the square. You must compensate by adding that amount on the end of the equation. You add because of that minus sign outside the brackets. The number inside will be minus when the brackets are removed.

Max = -(x - 22)^2 + 484

The maximum occurs when x = 22. That's because - (x - 22) becomes 0.

If it is not zero it will be minus and that will subtract from 484

x + y = 44

xy = 484

When you solve this, you find that x = y = 22 If you need more detail, let me know.


4 0
2 years ago
The order of operations is used to blank numerical expressions​
Anna11 [10]
The order of operations is used to order numerical expressions
6 0
1 year ago
7 times something equals 94
Mariulka [41]
7 × __ = 94

Divide by 7 on both side.

__ = 94 ÷ 7

Answer = 13 3/7
8 0
2 years ago
Read 2 more answers
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