A circular table top has an area of 324 square inches. Which
measurement is closest to the radius of the table top in inches?

Answer:

a) radius = 6.9288 units

b) OP = 13.857 units

Step-by-step explanation:

a)

As PA is tangent to the circle, the angle OAP is 90°, and if the angle of the arc AR is 60°, the angle AOP is also 60°.

So we can find the angle APO with the sum of internal angles of the triangle AOP:

90 + 60 + APO = 180

APO = 30°

Now, we can find the radius AO using the tangent relation of the angle APO, where the opposite side is the radius AO and the adjacent side is AP:

tangent(30) = AO / AP

0.5774 = AO / 12

AO = 0.5774 * 12 = 6.9288 units

b)

To find the length of OP, we can use the Pythagoras' theorem in the triangle AOP:

OP^2 = AO^2 + AP^2

OP^2 = 6.9288^2 + 12^2 = 192.01

OP = 13.857 units

Answer:

The measure of angle N to the nearest degree is 28 degrees

Step-by-step explanation:

To answer this question, we shall be needing a diagrammatic representation of the triangle. Please check attachment for this.

To calculate the angle N, we shall be making use of trigonometric identities. From the diagram we see that we have the hypotenuse ( the longest side and the side facing the angle 90) and also the opposite ( the side facing the angle N)

Thus, the correct trigonometric identity to use here is the Sine

Mathematically, the sine of an angle = length of the opposite/length of the hypotenuse

Our opposite here is 4.2 feet with our hypotenuse as 9 feet

Plugging these values, we have

Sin N = 4.2/9

Sin N = 0.46666667

N = arc sin (0.46666667)

N = 27.82 , to the nearest degree we have 28 degrees

Answer:

28°

Step-by-step explanation:

:)

Answer:

no clue bud

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since the swimming pool is cylindrical, we would find its volume by applying the formula for determining the volume of a cylinder which is expressed as

Volume = πr²h

Where

r represents radius of the cylinder

h represents height

π = constant = 3.14

From the information given,

Diameter = 12 feet

Radius, r = diameter/2 = 12/2 = 6 feet

h = 4 feet

Volume = 3.14 × 6² × 4 = 452.16ft³

Since 1 cubic foot is approximately 7.48 gallons, the number of gallons of water that the swimming pool can contain is

452.16 × 7.48 = 3382.16 gallons

Answer:

B. 1,190 square cm

Step-by-step explanation:

For given prism:

l = 16 cm, w = 7 cm, h = 21 cm

Surface area of of the prism

[tex]= 2 (lw + wh + hl) \\ = 2(16 \times 7 + 7 \times 21 + 21 \times 16) \\ = 2(112 + 147 + 336) \\ = 2 \times 595 \\ = 1190 \: {cm}^{2} \\ [/tex]

Answer:

x=3

Step-by-step explanation:

4x = 2x + 6

-2x  -2x + 6

2x = 6

x = 3

Answer: 56° and 34°

Step-by-step explanation: Well we know this is a complementary angle and if two angles are complementary, then the sum of their measures is 90 degrees.

If these two angles have to add together to be 90 degrees, we can use that fact to set up our equation. We can say that 4x + (2x + 6) = 90.

Simplifying from here, we have 6x + 6 = 90.

Subtracting 6 from both sides, we have 6x = 84.

Dividing both sides by 6, we find that x = 14.

Now, remember that these should add up to 90 degrees.

We can check by substituting the value that we just found back in for x to check our angles. If they add to 90 degrees, we did it correctly.

So for the first one we have 4(14) which is 56 and for the next one we have 2(14) + 6 or 28 + 6 which simplifies to 34.

Now adding, 56 + 34 gives us 90.

So, we know that these are the correct measures.

Answer:

(0,0)

Step-by-step explanation:

y= -3x

The y intercept is the y value when x =0

Let x =0

y = -3(0)

y = 0

(0,0)

Answer:

C.

Step-by-step explanation:

You can either graph this function to find the y-intercept or set x =0 and solve for y.

Answer:

C. Exponential decay

Step-by-step explanation:

Answer:

h = 9

Step-by-step explanation:

[tex]volume = \pi \: {r}^{2} h \\ 1,386 = \frac{22}{7} \times 7 \times 7 \times h \\ 1,386 = 154 \times h \\ h = \frac{1,386}{154} \\ h = 9[/tex]

Answer:

(-1, 1 1/4) or (-1, 1.25)

Step-by-step explanation:

Answer:

Its A

Step-by-step explanation:

Answer:

the answer is step 3 because the circle on the number line is open.

pls make mine as the  Brainliest answer that would really help

Mariya's mistake in solving the inequality and plotting the number line is in step 3

The inequality is given as:

[tex]\frac{a}{-13} \le -16[/tex]

Multiply both sides of the inequality by -13

[tex]a \ge 208[/tex]

The above means that the solution to the inequality are numbers greater than or equal to 208.

This means that we make use of a closed circle

In step 3 of Mariya's solution, the number line uses an open circle

Hence, Mariya's mistake is in step 3

Read more about inequality at:

https://brainly.com/question/11234618

#SPJ5

Answer:

1130

Step-by-step explanation:

8x75=600

8÷9=72+3

8×1=8+1=9

8×1+1=9

Answer:1130^8

Step-by-step explanation:trust me bro

Answer:

Im 99 percent sure its b or c

Step-by-step explanation:

but wait for the other kid to answer

Answer:

There are two possibilities: 1) A is the hypotenuse: [tex]C \approx 18.74[/tex], 2) A is not the hypotenuse: [tex]C \approx 21.19[/tex]

Step-by-step explanation:

Let be C the remaining side of the triangle. Given that triangle is right-angled and the remaining side can be found by Pythagorean Theorem, there are two options by using the two known sides:

1) A is the hypotenuse

[tex]20^{2} = 7^{2} + C^{2}[/tex]

[tex]C^{2} = 20^{2}-7^{2}[/tex]

[tex]C = \sqrt{20^{2}-7^{2}}[/tex]

[tex]C \approx 18.74[/tex]

2) A is not the hypotenuse

[tex]C^{2} = 20^{2} + 7^{2}[/tex]

[tex]C = \sqrt{20^{2}+7^{2}}[/tex]

[tex]C \approx 21.19[/tex]

Answer:

No, the triangle is not a right triangle

Step-by-step explanation:

In this question, we are asked to determine if the triangle having the lengths given in the question is a right triangle.

To answer this question, we need to take into consideration a very important property of right angle triangles.

The property is that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two other sides

The hypotenuse is the one with the longest length. Thus, the hypotenuse here is 16 centimeters.

Now let’s have the squares!

The square of the hypotenuse is 16 * 16 = 256

Let’s sum the squares of the other two sides;

(8 * 8) + ( 14 * 14) = 64 + 196 = 260

These squares are not equal so we can conclude that the triangle is not a right triangle

Answer:

D.

Step-by-step explanation:

So find what two numbers multiply to 72 and add up to 17

9 and 8

(z + 9)(z + 8)

Answer:

D. (z + 9)(z + 8)

Step-by-step explanation:

Let's factor z2+17z+72

z2+17z+72

The middle number is 17 and the last number is 72.

Factoring means we want something like

(z+_)(z+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get 17

Multiply together to get 72

Can you think of the two numbers?

Try 8 and 9:

8+9 = 17

8*9 = 72

Fill in the blanks in

(z+_)(z+_)

with 8 and 9 to get...

so (z + 9)(z + 8)

Answer:

k=13

Step-by-step explanation:

substitute x and y

4+9=k

k=13

Answer:

13

Step-by-step explanation:

Plug in the given x and y values: 2(2) + 3 (3) = k

Then multiply 4 + 9 = k

Then add 13 = k

Answer:

Test each set of lengths using Pythagoras' Theorem. Is a2+b2=c2?

Step-by-step explanation:

Answer:

You have to see each one and do the formula, a^2*b^2= c^2, then under'root the c^2 to become c

Answer:

the two opposite angles equal 45 and the other two who are twice the amount is 90

Step-by-step explanation:

sum of angles in a quadrilateral is 360. Lets name the two equal diagonal angles x that means the equation wil be

x+x+2x+2x=360

8x=360

x=45

so the equal diagonal ones will be 45 and the other two angles will be twice as much so 45x2=90

Answer:

6

Step-by-step explanation:

Number of blueberries = 18

Number of strawberries = 3 times less than blueberries

Number of strawberries

Answer: 6 strawberries

Answer:

Its A

Step-by-step explanation:

c=-20, -15, -5

f(c)=-4,5,23

gl with your test or quiz

Answer: its A

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

You cannot compare the ministers’ name because it has no correlation to their government office, so it cannot be represented as a function.

No, the government offices can not be represented as a function of the ministers' names.

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.

Given that, names of offices and their presidents,

Since,

You cannot compare the ministers’ name because it has no correlation to their government office, so it cannot be represented as a function.

Hence, the government offices can not be represented as a function of the ministers' names.

Learn more about functions, click;

https://brainly.com/question/12431044

#SPJ5

Answer:

Step-by-step explanation:

Total weight=The garbage truck weight + recyclables weight =3 tons + 2 tons = 5 tons

Answer: 5

Step-by-step explanation:

3+2=5

Answer:

Look at the lightest loaf of bread. It weighs 22 1/3 oz. The heavist loaf weighs 24 1/2. Subtract 24 1/2 and 22 1/3. Then, if the answer to that is 1 1/2 ounces then you agree. If it is not, then disagree. Then, add up all of the weights of the bread and find the answer.

Answer:

x^2+1

Step-by-step explanation:

x^3+x^2+x+1 / x+1

=(x+1)(x^2+1) / x+1

reduce (x+1) and x+1 and you will get x^2+1

Answer:

15x+28

Step-by-step explanation:

15x+10+18

15x+28

Answer:

B

Step-by-step explanation:

In the parenthesis with x it up or down on the y axis, and then after the function is what where after or before the origin the line starts on the x-axis.