A small plastic ball has a diameter of 8 centimeters. What is the volume of the ball

Given:

A figure of a rectangular prism with length l, width w and height h.

To find:

The surface area of the rectangular prism.

Solution:

The product of twice of the length l and the width w is:

[tex]2\times l\times w=2lw[/tex]          ...(i)

The product of twice of the length l and the height is:

[tex]2\times l\times h=2lh[/tex]           ...(ii)

The product of twice of the width w and the height h is:

[tex]2\times w\times h=2wh[/tex]       ...(iii)

The surface area of the prism is the sum of (i), (ii) and (iii). So, the expression for the surface area is:

[tex]A=2lw+2lh+2wh[/tex]

[tex]A=2(lw+lh+wh)[/tex]

Therefore, the required expression is [tex]2(lw+lh+wh)[/tex].

Answer:

= $1226.25

Step-by-step explanation:

There are 327 students

Each student lunch is $3.75

She needs 327 of these $3.75 lunches

So 327 times $3.75

= $1226.25

Answer:

20 km

Step-by-step explanation:

Circumference is given by

C = pi*d

20 pi = pi *d

Divide  each side by pi

20 =d

I dkabouthtisoneiuisrhihurg

Answer:

d. convex hexagon

Step-by-step explanation:

i got a 100 edge 2021

The type of Polygon shown as given in the question with its' shape is called; Convex Hexagon

We are told that the polygon has 6 sides and that no angle goes inside the shape.

Now, a polygon with 6 sides is called a hexagon. However, in this case the name will be a convex hexagon because it will have a hexagonal shape with no interior angle greater than 180°.

Despite that said, regular hexagons will always be called convex hexagon while Irregular hexagons can also be called convex hexagons.

Read more about Polygons at; https://brainly.com/question/1592456

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Answer:

63=90-63= 27

Bye

Answer:

yes

Step-by-step explanation:

Answer:

[tex]5^{3}[/tex] · [tex]5^{8}[/tex] = [tex]5^{11}[/tex]

Step-by-step explanation:

when the bases are the same, add exponents

Answer:

C (3rd choice)

Step-by-step explanation:

Domain (x-values):

We can see that there is a max number of 14 hours and a min. of 0 hours. This means that the domain is [0, 14]. Note that the domain would be in brackets (as opposed to parentheses) because the values are included in the data set. Since time works on a continuum, it can be reasonably concluded that all values should be included (e.g., 1.5 hours exists). Therefore, we would state that all numbers from 0 to 14 are valid in the domain.

Range (y-values):

We can see that there is a max of 85 people and a min. of 0 people. This means that the range is [0, 85]. Again, since the values 0 and 85 are both included in the data, the range is notated in brackets. Be mindful that there is no such thing as half person, so the range must only include whole numbers. That means this chart acts as a step-function.

Answer:

624,600

Step-by-step explanation:

624,612

612 rounds to 600

624,600

Answer:

624,600

Step by step explanatiom:

cause math

Answer:

Step-by-step explanation:

Dilation

Answer:

C

Step-by-step explanation:

Step-by-step explanation:

the answer is 36000 cm2

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Answer:

it's hypotenuse will be -8

Answer:

Hello! answer:

largest volume: Rectangle C

smallest volume: Rectangle A

Step-by-step explanation:

Rectangle A: 120

Rectangle B: 160

Rectangle C: 224

Rectangle D: 189

Hope that helps!

Answer:

a) 1650 m

b) 1677.05 m

Step-by-step explanation:

Hi there!

1) Determine what is required for the answers

For part A, we're asked for solve for the horizontal distance in which the road will rise 300 m. In other words, we're solving for the distance from point A to point C, point C being the third vertex of the triangle.

For part B, we're asked to solve for the length of the road, or the length of AB.

2) Prove similarity

In the diagram, we can see that there are two similar triangles: Triangle AXY and ABC (please refer to the image attached).

How do we know they're similar?

Therefore, the two triangles are similar because of AA~ (angle-angle similarity).

3) Solve for part A

Recall that we need to find the length of AC.

First, set up a proportion. XY corresponds to BC and AY corresponds to AC:

[tex]\frac{XY}{BC}=\frac{AY}{AC}[/tex]

Plug in known values

[tex]\frac{2}{300}=\frac{11}{AC}[/tex]

Cross-multiply

[tex]2AC=11*300\\2AC=3300\\AC=1650[/tex]

Therefore, the road will rise 300 m over a horizontal distance of 1650 m.

4) Solve for part B

To find the length of AB, we can use the Pythagorean theorem:

[tex]a^2+b^2=c^2[/tex] where c is the hypotenuse of a right triangle and a and b are the other sides

Plug in 300 and 1650 as the legs (we are solving for the longest side)

[tex]300^2+1650^2=c^2\\300^2+1650^2=c^2\\2812500=c^2\\1677.05=c[/tex]

Therefore, the length of the road is approximately 1677.05 m.

I hope this helps!

Answer:

4/27

Step-by-step explanation:

F(x) = 4(1/3)^x

Let x =3

F(3) = 4(1/3)^3

Exponents first

F(3) = 4 * 1/27

Then multiply

f(3) = 4/27

Answer:

4/27

Step-by-step explanation:

f(x) = 4(1/3)^x

f(3) = 4(1/3)^3

f(3) = 4(1/27)

f(3) = 4/27

hope that helps

Step-by-step explanation:

We can simply by opening the brackets ,

=> y - 1 = 5( x - 2 )

=> y - 1 = 5x - 10

=> y - 5x = -9

=> 5x - y + 9 = 0

Given:

The equations are:

[tex]a=b+9[/tex]

[tex]b=c-2[/tex]

To find:

The equation that show the relationship between a and c.

Solution:

We have,

[tex]a=b+9[/tex]               ...(i)

[tex]b=c-2[/tex]               ...(ii)

Equation (i) can be rewritten as:

[tex]a-9=b[/tex]              ...(iii)

From (ii) and (iii), we get

[tex]a-9=c-2[/tex]

[tex]a-c=9-2[/tex]

[tex]a-c=7[/tex]

Therefore, the required equation is [tex]a-c=7[/tex].

Answer:

question one:

x = 6.018150231520483

adjacent angle = 7.986355100472928

Step-by-step explanation:

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it automaticly does sin, cos, and tan for you.

Answer:

∠ RST = 68°

Step-by-step explanation:

Since RT = ST then the triangle is isosceles with 2 base angles congruent

∠ RST = [tex]\frac{180-44}{2}[/tex] = [tex]\frac{136}{2}[/tex] = 68°

Answer:

(a) -1

(b) -2

Step-by-step explanation:

(a) Replace the a's with 1 and the b's with 3 to get 1*3 = 1-3+1 = -1

(b) We already figured out that (1*3) equals -1 so we just need to find -1*2. Using same strategy as part a, replace a and b with -1 and two, respectively. -1*2 = -1-2+1= -2. Hope this helps and sorry if I made a mistake. :)

Answer:

65

Step-by-step explanation:

Since they drove for 2 hours at an average rate of 40 miles per hour, they've travelled [tex]40\cdot 2=80[/tex] miles so far. Therefore, they still have [tex]145-80=\boxed{65}[/tex] miles to go.

Answer:

65

Step-by-step explanation:

Since u traveled for 2 hours at 40 miles per hour, you have traveled for 80 miles. Then u subtract the total miles, 145 by 80

145-80

= 65 more miles

Answer:

18 ft

Step-by-step explanation:

Since the triangle is right angled ; we could use trigonometry ;

Using the angle , 40° ; adjacent side, = 14 feets ; hypotenus = x

Cos θ = Adjacent / hypotenus

Cos 40 = 14 / x

0.7660444 = 14 / x

0.7660444x = 14

x = 14 / 0.7660444

x = 18.27

= 18 ( nearest foot)

Answer:

D = 3

Step-by-step explanation:

edge 2022

Answer:

$19.53

Step-by-step explanation:

$20 - 0.1(20) = 20 - 2 = 18

18 + 0.085(18) = 18 + 1.53 = 19.53

Given:

Renee has dimes and quarters in her wallet that total $1.60.

She has 2 more dimes than quarters.

To find:

The number of each type of coins.

Solution:

Let x be the number of dimes and y be the number of quarters.

She has 2 more dimes than quarters. So,

[tex]x=y+2[/tex]            ...(i)

We know that,

1 dime = $0.10

1 quarter = $0.25

Renee has dimes and quarters in her wallet that total $1.60. So,

[tex]0.10x+0.25y=1.60[/tex]              ...(ii)

From (i) and (ii), we get

[tex]0.10(y+2)+0.25y=1.60[/tex]

[tex]0.10y+0.20+0.25y=1.60[/tex]

[tex]0.35y=1.60-0.20[/tex]

[tex]0.35y=1.40[/tex]

Divide both sides by 0.35.

[tex]y=\dfrac{1.40}{0.35}[/tex]

[tex]y=4[/tex]

Substituting [tex]y=4[/tex] in (i), we get

[tex]x=4+2[/tex]

[tex]x=6[/tex]

Therefore, the number of dimes is 6 and the number of quarters is 4.

Answer:19

Step-by-step explanation: draw the tanks put 6 fish in each tank until you get all 115 in each tank