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Naily [24]
3 years ago
14

Find the radius of a circle whose area is 576π m²

Mathematics
1 answer:
k0ka [10]3 years ago
7 0

Answer:

r = 24 m

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr² ( r is the radius )

Here A = 576π , then

πr² = 576π ( divide both sides by π )

r² = 576 ( take the square root of both sides )

r = \sqrt{576} = 24

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Points scored in a basketball game vary directly with shots taken. If a player scores 50 points and takes 40
KATRIN_1 [288]

Answer:

She would have scored 75 points.

Step-by-step explanation:

Points scored in a basketball game vary directly with shots taken.

This means that this question can be solved by proportions, using a rule of three.

How many would she have scored if she takes 60 shots?

Using a rule of three:

50 points - 40 shots

x points - 60 shots

Applying cross multiplication:

40x = 50*60

Dividing both sides by 40

x = 50*1.5 = 75

She would have scored 75 points.

6 0
2 years ago
Gisele went to the shoe store and bought two pairs of flats. One pair was $21.20, and the other was $31.50. If she has $60.00, h
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$8.30?

I need more info, is this including tax or are you having to tax the items as well?
5 0
3 years ago
Read 2 more answers
9 1/4 - 4 5/6 subtraction
cricket20 [7]

Answer:

4 5/12

Step-by-step explanation:

Rewriting our equation with parts separated

Solving the whole number parts

Solving the fraction parts

Find the LCD of 1/4 and 5/6 and rewrite to solve with the equivalent fractions.

LCD = 12

Combining the whole and fraction parts

6 0
2 years ago
Read 2 more answers
16. Let W be the set of all vectors in R3 of the form a+2b b -3a Find a basis for Wand state the dimension of W.
Yuki888 [10]

Answer:

W=\{\left[\begin{array}{ccc}a+2b\\b\\-3a\end{array}\right]: a,b\in\mathbb{R} \}

Observe that if the vector x=\left[\begin{array}{ccc}x\\y\\z\end{array}\right] is in W then it satisfies:

\left[\begin{array}{ccc}x\\y\\z\end{array}\right]=\left[\begin{array}{c}a+2b\\b\\-3a\end{array}\right]=a\left[\begin{array}{c}1\\0\\-3\end{array}\right]+b\left[\begin{array}{c}2\\1\\0\end{array}\right]

This means that each vector in W can be expressed as a linear combination of the vectors \left[\begin{array}{c}1\\0\\-3\end{array}\right], \left[\begin{array}{c}2\\1\\0\end{array}\right]

Also we can see that those vectors are linear independent. Then the set

\{\left[\begin{array}{c}1\\0\\-3\end{array}\right], \left[\begin{array}{c}2\\1\\0\end{array}\right]\} is a basis for W and the dimension of W is 2.

7 0
2 years ago
Given y varies inversely as x, and y = 5 when x = 9. *Write the inverse function
Ivahew [28]

Answer:

y = 45/x

Step-by-step explanation:

Here, we want to write an inverse relationship

for an inverse relationship, the product of both variables will be equal to the constant term

Let us have the constant term as k

Thus, we have it that;

xy = k

9 * 5 = k

k = 45

So the inverse function is;

xy = 45

or y = 45/x

if y is a function of x, we can have it as;

f(x) = 45/x

4 0
2 years ago
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