Angle relationships with parallel lines

since it's diameter is 24, its radius must be 12.

[tex]\textit{surface area of a sphere}\\\\ SA=4\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=12 \end{cases}\implies SA=4\pi (12)^2\implies SA=576\pi[/tex]

now, that's for a sphere, for a hemisphere with the same radius it'd just be half that or 288π, now let's add the area of the circular base.

[tex]\stackrel{\textit{\LARGE Areas}}{\stackrel{hemisphere}{288\pi} ~~ + ~~\stackrel{circular~base}{\pi (12)^2}}\implies 288\pi ~~ + ~~144\pi \implies 432\pi[/tex]

The total surface area of the hemisphere is 288π. The area that include both surface area of hemisphere and the base of the total area is 432π.

A hemisphere is "half the part of sphere".

According to the question,

The diameter of greater circle is 24 this implies radius of circle is 12.

Surface area of sphere = 4πr²

= 4×π × (12)²

= 576π.

Surface area of sphere is 576π

Surface area of Hemisphere is half of the surface area of sphere.

(576π)/2 = 288π

In order to include the base in the total area only if add surface area of hemisphere and area of circle.

surface area of hemisphere + rea of circle = 288π + π(r)²

= 288π + π(12)²

= 288π + 144π

= 432π

Hence, the total surface area of the hemisphere is 288π. The area that include both surface area of hemisphere and the base of the total area is 432π.

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Answer:

The correct answer is 3.

Step-by-step explanation:

I'm assuming you need this now so I won't explain it.

Hope this helps:) Goodluck!

Answer:

check explanation for answer

Step-by-step explanation:

16 ÷ -8 = -2

- 2 \frac{2}{5} ÷  \frac{4}{5} = -3

3 \frac{3}{7} ÷ \frac{1}{7} = 3

-12.2 ÷ -6.1 = 2

Based on your normal distribution curve, 68% of the sample pack of M&M's will have 38 orange M&M's

The amount of M&M's that will be obtained from the pack of 56 can be obtained as follow:

Amount = percentage × total

Amount of M&M's = 68% × 56

Amount of M&M's = 0.68 × 56

Amount of M&M's = 38

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Answer: 12

Step-by-step explanation:

height x width

3 x 4 = 12

Answer:

D

Step-by-step explanation:

it's because of simple logic

Answer:

B = 48

Step-by-step explanation:

8 x 6 = 48

hope this helps!

Answer:

C=100.53 CM²

Step-by-step explanation:

Formula to the circumference of a circle is 2π·r

2π=6.28

6.28·16=100.53 CM²

Answer:

I believe it would be 3,000,000 by the end of 12 years since nothing is being taken out or deposited but instead, she put a compound interest so the numbers would go up from what i gather

Step-by-step explanation:

Answer:

720

Step-by-step explanation:

height is 22

right triangle sides are

5 12 and 13

Answer:

B) 720 cm²

Explanation:

Area of triangular prism = Base × Height + Length × (perimeter of base)

Here given:

=======================================

Solve for area: 12 × 5 + 22 × (30) = 720 cm²

Answer:

10 units

Step-by-step explanation:

calculate the distance using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 4, 4 ) and (x₂, y₂ ) = (4, - 2 )

d = [tex]\sqrt{(4-(-4))^2+(-2-4)^2}[/tex]

   = [tex]\sqrt{(4+4)^2+(-6)^2}[/tex]

    = [tex]\sqrt{8^2+36}[/tex]

    = [tex]\sqrt{64+36}[/tex]

    = [tex]\sqrt{100}[/tex]

     = 10

Answer:

849

Step-by-step explanation:

Answer:

f(- 2) = - 7

Step-by-step explanation:

substitute x = - 2 into f(x)

f(- 2) = [tex]\frac{3}{2}[/tex] × - 2 - 4 = - 3 - 4 = - 7

Answer:

es lo que es

Step-by-step explanation:

Answer:

Option (D): f(x) = 2x^2 – 3

Step-by-step explanation:

Math.

The function that represents the data in the table is y=2x²-3

A relation is a function if it has only One y-value for each x-value.

Let us check the function of the given data by plugging any ordered pair in the given functions

Let us take a point (1, -1) to check each function

(a) y=x/2-3

-1= 1/2-3

-1=-5/2

So y=x/2-3 is not the function

(b) y=2ˣ-3

-1=2-3

-1=-1

Now let us check for other point

5=4-3

5=1

This function is not satisfied for all points

(c) y=2x-3

-1=-1

For point (2, 5)

5=-1

This function is not satisfied for all points

(d) y=2x²-3

-1=2-3

-1=-1

Now 5=8-3

5=5

Hence, the function that represents the data in the table is y=2x²-3

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Answer:

Step-by-step explanation:

6f^2 - 9f + 10 + 2f^2 + f - 3

8f^2 - 8f + 7

Answer:

48

Step-by-step explanation:

substitute y = 4 into the expression

y² + 6y + 8

= 4² + 6(4) + 8

= 16 + 24 + 8

= 48

Answer:

∠A≅∠Y          AB≅YZ

∠B≅∠Z          AC≅YX

∠C≅∠X          BC≅ZX

ΔABC≅ΔYXZ

Step-by-step explanation:

congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle

Answer:

3^3-4^2=11

Step-by-step explanation:

3^3=27

4^2=16

27-16=11

Answer:

Your answer would be 24 but then if you  round it to the nearest tenth the you would have 20

Step-by-step explanation:

i hope this helps

Answer:

-7/5

Step-by-step explanation:

m = slope = (y1-y2) / (x1-x2)  =  7/-5 = - 7/5

{3, 4, 5, 6} 

Inequalities represent the value of a variable by comparing them to other values.

Inequality Signs

Before answering the question, make sure you understand the different inequality signs.

Solving the Inequality

To make this question easier to answer, we can solve the inequality. Solving an inequality involves isolating the variable.

Finding the Set

Now that we solved the inequality we can look for the correct set of numbers. Since we solved the inequality, we know that all of the correct values should be less than 9. However, because there was no equal to sign, 9 is not included in the set. The only set that has only correct solutions is {3, 4, 5, 6}.

Answer:

Step-by-step explanation:

To get the final answer, isolate the variable y on one side of the equation.

First, multiply by 4 from both sides.

[tex]\Longrightarrow: \sf{4*\dfrac{1}{4}y\geq 8*4 }[/tex]

Solve.

8*4=32

[tex]\boxed{\sf{y\geq 32}}[/tex]

I hope this helps, let me know if you have any questions.