A sphere has a diameter of 8 cm. Which statements about the sphere are true? Check all that apply. The sphere has a radius of 4 cm. The sphere has a radius of 16 cm. The diameter’s length is twice the length of the radius. The radius’s length is twice the length of the diameter. The volume of the sphere is StartFraction 2,048 Over 3 EndFraction pi centimeters cubed. The volume of the sphere is StartFraction 256 Over 3 EndFraction pi centimeters cubed.

Answer:

q = ± [tex]\sqrt{\frac{p}{2} }[/tex]

Step-by-step explanation:

Given

p = 2q² ( divide both sides by 2 )

[tex]\frac{p}{2}[/tex] = q² ( take the square root of both sides )

± [tex]\sqrt{\frac{p}{2} }[/tex] = q

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As the area is 12, the length multiplied by the width must equal 12

Therefore, we can eliminate option B and option D as they wouldn't multiply to give 12

Let's test option A to see if it gives a perimeter of 16

2 + 6 + 2 + 6 = 16

As you see, this sums to 16

Thus, your answer is option A

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The answer is 21

Step-by-step explanation:

Answer:

AC=7.5 cm

CB=10.5cm

Step-by-step explanation:

Since we don't know the distance from C to B, we can label it as x. Our equation will be x+(x-3)=18. Simplify that so it is 2x-3=18. Add 3 to both sides and get 2x=21. x=10.5 So AC=7.5 cm and CB is 10.5 cm

Answer:

3

Step-by-step explanation:

[tex]\frac{h^{2}-1 }{h+3}[/tex]

[tex]\frac{5^{2} -1}{5+3}[/tex]

[tex]\frac{25-1}{8}[/tex]

[tex]\frac{24}{8}[/tex]

3

Answer:

Waddup bro. For your answer, think of it this way. What 3 digits will make up 9? 1 x 9 is 9. So that would work. find it out by trying out different combination that would make up 9. I'm not gonna write all of 'em but 3 digits would add up to 9. There are no other groups of numbers adding up to 9. 4. Add up the remaining digits, 5 + 5 + 0 + 3 = 13. 5.13 is more than 9, so 1 + 3 = 4.  To find the median, the data should be arranged in order from least to greatest. If there is an even number of items in the data set, then the median is found by taking the mean (average) of the two middlemost numbers. So add all up the singe digits and divide it by how much there is.

Answer:

Step-by-step explanation:

numbers are

108,117,126,135,144,153,162,171,180,

207,216,225,234,243,252,261,270,

306,315,324,333,342,351,360,

405,414,423,432,441,450,

504,513,522,531,540,

603,612,621,630,

702,711,720,

801,810,

900

total number of terms=9+8+7+6+5+4+3+2+1=45

median =(45+1)/2=23 rd term

median=351

Answer:

Step-by-step explanation:

upper block:

length (l) = 120 cm

Width (w) = 30 cm

Height (h) = 60 cm

Volume of upper block = l * w * h

                                      = 120 * 30 *60

                                     = 216,000 cm³

Lower Block

l = 120 cm

w = 30 cm

h = 30 cm

Volume of lower block = 120 * 30 * 30

                                      = 108,000 cm³

Volume of steps = 216,000 + 108,000 = 324,000 cm³

Answer: For Ryan to get an average of exactly 91, she needs to get a 90 on her fifth quiz.

Step-by-step explanation:

You can find the average of a set of numbers by adding them together and dividing the sum by the amount of numbers added.

Ryan has five total quizzes. Only four of them are known, so we can represent her fifth quiz as X.

[tex]\frac{87 + 93 + 96 + 89 + x}{5}[/tex], dividing the five quizzes' sum by 5

She wants the average to be exactly 91, so you can set the expression equal to 91 and solve:

[tex]\frac{365 + x}{5} = 91\\\\365 + x = 455\\\\x = 90[/tex]

For Ryan to get an average of exactly 91, she needs to get a 90 on her fifth quiz.

Answer:

Step-by-step explanation:

[tex]c^2=a^2+b^2\\96^2+b^2=105^2\\96^2=9216\\105^2=11025\\b^2=11025-9216\\=1809\\\sqrt{1809} \\bft=42.53[/tex]

Answer:

Step-by-step explanation:

length = 5 1/4 = 21/4 inches

Width = 2 1/2 = 5/2 inches

Height = 2 inches

Volume of rectangular prism = length * width * height

                     [tex]= \frac{21}{4}*\frac{5}{2}*2\\\\= \frac{21}{4}*5\\\\=\frac{105}{4}[/tex]

                     = 26.25 cubic inches

Answer:

26 1/4 i think

Step-by-step explanation:

5 1/4 times 2 1/2 times 2 is 26 2/8 but then you simplify it and you get 26 1/4

Answer:

the first one is 8x-2a

second is 4x+6y

You should combine like factors- factors with the same variable and get your answer.

Answer:

3x-2a+5x+4a

8x + 2a

6x-2x+8y-2y

4x + 6y

explanation:

These are about combining "like terms" so you put the x-terms together by adding or subtracting the "coefficients," the numbers attached to the variables. Combine only terms that have the same letters when adding or subtracting.

Answer:

I am pretty sure that it is the bottom left answer.

Step-by-step explanation:

Answer:

it would've been A the first one

Answer:

Step-by-step explanation:

Answer:

[tex]-\frac{3}{4}[/tex]

Step-by-step explanation:

Slope is: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points (-4,0) and (0,-3):

[tex]m=\frac{-3-0}{0-(-4)}=\frac{-3}{4}=\boxed{-\frac{3}{4}}[/tex]

The slope of the line is [tex]-\frac{3}{4}[/tex].

Answer:

Step-by-step explanation:

y=x²+4x-7

=x²+4x+4-4-7

=(x+2)²-11

axis of symmetry is x=-2

vertex is (-2,-11)

x²+4x-7=0

[tex]x=\frac{-4 \pm\sqrt{4^2-4(1)(-7)} }{2(1)} \\=\frac{-4 \pm \sqrt{16+28} }{2} \\=\frac{-4 \pm 2\sqrt{11} }{2} \\=-2 \pm\sqrt{11}[/tex]

Answer:

Axis of symmetry is x = -2

(-2, -11) is the vertex

Roots are

-2 + [tex]\sqrt{11}[/tex], -2 - [tex]\sqrt{11}[/tex]

Step-by-step explanation:

a) Axis of symmetry equation is: x = -b/2a

Original equation: y = [tex]x^2+4x-7[/tex]

So...

x= -4/2(1) = -2

Axis of symmetry is x = -2

b) Vertex Point can be found by plugging into original equation.

[tex]y =x^2+4x-7[/tex]

=> y = [tex](-2)^2+4(-2)-7[/tex]

=> 4 - 8 - 7 = y

=> -11 = y

(-2, -11) is the vertex

c) quadratic formula is  [tex]x = \frac{-b +-\sqrt{b^2-4ac} }{2a}[/tex]

Lets plug in the values.

[tex]\frac{-4 +- \sqrt{4^{2}-4(1)(-7) } }{2(1)}[/tex]

[tex]\frac{-4 +- \sqrt{16+28 } }{2}[/tex]

[tex]\frac{-4 +- \sqrt{44 } }{2}[/tex]

[tex]\sqrt{44} = 2\sqrt{11}[/tex]

-4 +- 2[tex]\sqrt{11}[/tex]

--------------

     2

Here, i will factor out 2, and take out the +- and make it into two equations

2(-2 + [tex]\sqrt{11}[/tex]) / 2 = -2 + [tex]\sqrt{11}[/tex]

2(-2 - [tex]\sqrt{11}[/tex]) / 2  =   -2 - [tex]\sqrt{11}[/tex]

x= -2 + [tex]\sqrt{11}[/tex]

or

x = -2 - [tex]\sqrt{11}[/tex]

Roots are

-2 + [tex]\sqrt{11}[/tex], -2 - [tex]\sqrt{11}[/tex]

Answer:

Step-by-step explanation:

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

Answer: A, C, D

Step-by-step explanation: The other person accidentally put 49 instead of 42

The equations that are correct are n = 10, CF = 59 and FE = 42

From the attached diagram, we can see that the opposite side of the parallelogram are equal, hence;

DE = CF
6n - 1  = 5n + 9'

Find the value f n

6n - 5n = 9 + 1

n = 10

CF = 5n + 9

CF = 5(10) + 9
CF = 59

For the measure of FE
FE = 4n + 2

FE = 4(10) + 2

FE = 42

Hence the equations that are correct are n = 10, CF = 59 and FE = 42

Learn more on parallelogram here: https://brainly.com/question/970600

Answer:

a²+b²=c²

7.5²+9²=c²

137.25=c²

√137.25=c²

11.72.... = c

The Radius of the circle is approximately 11.72cm

Step-by-step explanation:

Using this data. Create a Triangle with the Chord and Center of the dot. We know the distance between the chord and center which is one length of one of the sides.

We split the chord from the intersecting line from the center to the chord making the second line being 7.5cm

After We draw a line from the center of the circle to where the chord meets to the edge of the circle to create the triangle

We now have 2 measurements and can use Pythagorean Theorem to determine the radius from the missing length of the triangle.

Answer: 95

Step-by-step explanation:

Answer:

the pattern is going by 15.

Step-by-step explanation:

Answer:

it 2

Step-by-step explanation:

i took the test

Answer:

Step-by-step explanation:

[tex]\frac{x}{3}=\frac{x+2}{5}\\\\x*5=3*(x+2)\\5x =3x+6\\\\5x-3x=6\\\\2x=6\\\\x=\frac{6}{2}\\\\x=3[/tex]

Answer:

uniform i think sorry if im wrong

Answer:

A). X is 80 degrees

Step-by-step explanation:

B). We know this because AD and EH are congruent.  Since B and F are also congruent, then x and the angle above B must be congruent. So, the angle an=bove B is 80 degress, which makes line AD 180 degrees, or a straight line. that must mean that x is 80 degrees as well.

I hope this works. Good luck!

Answer:

3

Step-by-step explanation:

you have to count all the xs past the number 6

Answer:

(6 * 0 + 0) + 2 /2

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Given

[tex]\sqrt[4]{81y^{12} }[/tex]

= [tex]\sqrt[4]{3^{4} }[/tex][tex](y^3)^{4}[/tex]

= 3y³ → C

Answer:

(A)A triangle with angles 45 degrees, 45 degrees, and 90 degrees. 2 sides are congruent.

Step-by-step explanation:

If Javier wants to construct a square by drawing two congruent triangles.

Therefore, the triangle which could be used is a triangle with angles 45 degrees, 45 degrees, and 90 degrees.

The correct option is A.

Answer:

its a

Step-by-step explanation:

Answer:

Step-by-step explanation:

x + 85 = 180

x = 95

Answer:

its c i guess i thought it was B because it says the amount of water that remains in the water barrel remains means what is left and initially means at first so i guess its C

Step-by-step explanation:

please rate and give me a thanks if you wanna get more answers

Here, we are required to determine what the y-intercept represents.

The equation of a line is given by;

y = mx + c.

where m = slope

and c = y-intercept.

Since the y-axis represents the Gallons of water left in the tank.

The y-intercept represents the point which corresponds to when x = 0.

In this case, the y-intercept represents the amount of water that is initially in the water barrel. i.e 45gallons of water.

Read more:

https://brainly.com/question/22163485

Answer:

cos60 - cos 72

Step-by-step explanation:

you can have an angle measure between 60 and 72 hence cos 60 - cos 72

hope this helps