A quarter of a circle has a radius of 7cm. What is is the area of the shaded part

Answer:

k = 0 or 8

Step-by-step explanation:

First, get the variables and constants on their side.

-4k^2 + 5k^2 - 8k = -3 + 3     Now simplify

k^2 - 8k = 0            Factor

k(k - 8) = 0          Solve

k = [0, 8]

If you want you can double check your answer by plugging in the values you got. First, 0.

0 - 0 - 3 = -3 - 0

-3 = -3. That works, so we know 0 is correct. Now 8

-4(64) - 8(8) - 3 = -3 - 5(64)

-256 - 64 - 3 = -3 - 320

-320 - 3 = -323

-323 = -323 That also works, so we know 8 is correct.

Answer:

[tex]r = 5.32\ feet[/tex]

Step-by-step explanation:

Step 1:  Determine the radius

Formula to get the area of a circle → [tex]A=\pi r^2[/tex]

Insert 89 into the A and solve for r

[tex]\frac{89}{\pi} = \frac{\pi r^2}{\pi}[/tex]

[tex]28.3296 = r^2[/tex]

[tex]\sqrt{28.3295} = \sqrt{r^2}[/tex]

[tex]r = 5.32[/tex]

Answer: [tex]r = 5.32\ feet[/tex]

Answer:

Hypotenuse = 45 inches

Step-by-step explanation:

Let the hypotenuse be known as "C".

Definition of hypotenuse:

The hypotenuse is the longest side in a right triangle.

Since the word "hypotenuse" is stated in the question, we can assume that the triangle is a right triangle and therefore, Pythogoras theorem can be used to determine the measure of the hypotenuse.

Pythogoras theorem

[Where "x" is the hypotenuse, "y" and "z" are the legs of the right triangle].

We are given that:

When the meausures are substituted in the formula, we get;

Evaluate the squares on the right hand side:

Simplify the expression on the right hand side:

Take square root both sides of the equation:

Therefore, the measure of the hypotenuse is 45 inches.

Learn more about Pythogoras theorem: https://brainly.com/question/19859661

Answer:

D

Step-by-step explanation:

The formula for a sphere is 4(π/3) * r ^ 3. If we plug in r we get 17^3 * 4/3 * π

Answer:

the part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.

Step-by-step explanation:

Answer:

9:49 is the answer because question say ratio is square of small and big

We will use the steps that can be used to eliminate the a term that will be -4(a+b=6). Option C is correct.

A set of two linear equations with two variables is called a system of linear equations. They create a system of linear equations when evaluated collectively.

The given equation in the problem is;

Equation P: a + b = 6

Equation Q: 4a + 2b = 19

To cancel out the equation q from the equation p.In order to cancel, the term of we has to multiply the term -4 in the equation p.

Hence we will use the steps that can be used to eliminate the a term that will be -4(a+b=6). Option C is correct.

To learn more about the system of two equations refer to the link;

https://brainly.com/question/21620502

Answer:

[tex]y=\dfrac{3}{2}x+6[/tex]

Step-by-step explanation:

Slope-intercept form of a linear equation:

 [tex]y=mx+b[/tex]

where:

Given equation:

 [tex]3x-2y=-12[/tex]

To write the given equation in slope-intercept form, apply arithmetic operations to isolate the variable y.

Add 2y to both sides:

[tex]\implies 3x-2y+2y=-12+2y[/tex]

[tex]\implies 3x=2y-12[/tex]

Add 12 to both sides:

[tex]\implies 3x+12=2y-12+12[/tex]

[tex]\implies 3x+12=2y[/tex]

Switch sides:

[tex]\implies 2y=3x+12[/tex]

Divide both sides by 2:

[tex]\implies \dfrac{2y}{2}=\dfrac{3x+12}{2}[/tex]

[tex]\implies \dfrac{2y}{2}=\dfrac{3x}{2}+\dfrac{12}{2}[/tex]

[tex]\implies y=\dfrac{3}{2}x+6[/tex]

Therefore, the slope-intercept form of the given equation is:

[tex]y=\dfrac{3}{2}x+6[/tex]

where 3/2 is the slope, and 6 is the y-intercept

Learn more about Slope-intercept form here:

https://brainly.com/question/27926846

Slope intercept form y=mx+b

Let's find

Done!

Answer:

5x^2 + 11x - 13 = A - B

Step-by-step explanation:

A - B = ?  Substitute 3x^2 + 5x - 6 for A and - (-2x^2 - 6x + 7) for -B:

3x^2 + 5x - 6 - (-2x^2 - 6x + 7). or

3x^2 + 5x - 6 + 2x^2 + 6x - 7, or (after combining like terms):

5x^2 + 11x - 13 = A - B

Answer:

18.8

Step-by-step explanation:

Circumference

Answer:

the answer should be d

Step-by-step explanation:

you just have to multiply the per pound amount (1.29) by by the pound amount (5) and then you get your answer $6.45!

i hope this helps :)

Answer:

60°

Step-by-step explanation:

The given 60° angle and angle 2 are alternate interior angles of parallel lines p and q with transversal s, so they are congruent.

m<2 = 60°

Answer:

Based on the alternate interior angle theorem, the measure of angle 2 in the diagram given is: C. 60°

What is the Alternate Interior Angles Theorem?

The alternate interior angle theorem states that the measure of two alternate interior angles are congruent.

Angle 2 and 60° are alternate interior angles, therefore:

Angle 2 = 60° [alternate interior angle theorem].

Learn more about the alternate interior angle theorem on:

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Step-by-step explanation:

Using sampling concepts, it is found that the correct option is given by:

B. The Golf Federation's conclusion was not valid because the sample was biased since the male customers all lived in California.

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

In this problem, the objective is to make an estimate about the most popular brand of golf ball from men all over the United States, however, only customers from California were chosen, hence the sample is not representative and option B is correct.

More can be learned about sampling concepts at https://brainly.com/question/25122507

Answer:b

Step-by-step explanation:The Golf Federation's conclusion was not valid because the sample was biased since the male customers all lived in California.

Answer:

149 Degrees

Step-by-step explanation:

The angle 31 is marked for you on the figure, there is also a secondary angle marked on the other line parallel to the first. Since they are marked the same, the value of both must be 31 degrees, you can also prove this in a longer method by calculating the exact angle measures of each line. Now we simply simplify our basic equation.

180-31=x

149=x

Answer:

??

Step-by-step explanation:

Answer:

??

Step-by-step explanation:

Answer:

??

Step-by-step explanation:

Answer:

??

Step-by-step explanation:

Answer:

??

Step-by-step explanation:

Answer:

??

Step-by-step explanation:

Answer:

??

Step-by-step explanation:

Answer:

??

Step-by-step explanation:

Answer:

Its shifted verticlly 2 and to the left 2.

Step-by-step explanation:

Its verticlly because when it says 2^x its going up if it said -2^x it would go down.

It goes left because it is 2^x=? so if you put it on  the other side its negative which makes it to the left.

Answer:

log(b) x = y is the same and saying b^y = x

so 6^2.1 = x

x = 43.06

Step-by-step explanation:

Answer:

the answer is yes

Step-by-step explanation:

yes it is an equivalent expression because 2b+b and 3b have the same value and length or numerator which equals yes.

Answer:

80%

Step-by-step explanation:

I use cross multiplication for this

4/5 = ?/100

so you would do (4*100)/5 to get the percent which would then be 80%

Answer:

A = 28 sq cm

Step-by-step explanation:

Area of a triangle:

A = 1/2• base•height

= 1/2•7•8

= 28 sq cm

Hey there!

Solve the equation:

x = 1 ✅

x + 2 = 5x - 2

>> Add 2 to both sides

x + 2 + 2 = 5x - 2 + 2

x + 4 = 5x

>> Substract x from each side

x + 4 - x = 5x - x

4 = 4x

4x = 4

>> Divide both sides by 4

4x/4 = 4/4

x = 1

More about equations :

https://brainly.com/question/27436957

Have a good day ;)

Given :-

To find :-

solution:-

x + 2 = 5x -2

2+2 = 5x - x

4 = 4x

1 = x

Answer:

[tex]4^3 =64\\\\(-3)^4 = 81[/tex]

Step-by-step explanation:

[tex]4^3 = 4\times 4 \times 4 = 64\\\\(-3)^4 = (-1)^4\cdot 3^4 = 81[/tex]

Answer:

We can divide an algebraic term by another algebraic term to get the quotient. The steps below show how the division is carried out.

We can multiply two algebraic terms to get a product, which is also an algebraic term.

Step-by-step explanation:

Answer:

Chris evans

Step-by-step explanation:

Answer:

36 monkeys where sleeping

Answer:

you got incorrect before Imao hm whats the question?

Step-by-step explanation: