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What are the coordinates of A' (A prime) after translating the figure 3 units right and 7 units down?

Answer:

Volume = 2880m²

Surface area = 1632m²

Step-by-step explanation:

The prism shown is a triangular prism

The volume of the prism can be found by multiplying the area of the base by the length of the prism

The base being a triangle.

The area of a triangle can be calculated by using this formula

[tex]A=\frac{bh}{2}[/tex]

where b = base length and h = height

The base length of the particular triangle is 12 m and the height is 16

That being said we plug in the values into the formula

[tex]A=\frac{12*16}{2} \\12*16=192\\\frac{192}{2} =96[/tex]

Hence the area of the base is 96 square meters

Finally we multiply the area of the base by the length of the prism ( which is 30 m )

So volume = 96 * 30

96 * 30 = 2880

Hence the volume of the triangular prism is 2880m²

Now to find the surface area

Kindly check the image below for information on the formula for surface area of a triangular prism

Formula = [tex]SA=bh+L(s_1+s_2+s_3)[/tex]

where b = base length

h = height of base

L = length of prism

S1 also = base

S2 = base height

S3 = slant height of base

The shown triangle has the following dimensions

b = 12

h = 16

L = 30

S1 = 12

S2 = 16

S3 = 20

Now that we have identified each dimension, we plug in the values into the formula

[tex]SA=16*12 + 30(12+16+20)\\16*12=192\\30*12=360\\30*16=480\\30*20=600\\600+192+480+360=1632\\SA=1632m^2[/tex]

So we can conclude that the surface area of the triangular prism is 1632m²

Step-by-step explanation:

I don't want the place but the fishy on me

Got a lot to be but the fishy on me

Got a lot to do, I'll slap your knee

Fishy on me, fishy on me

I don't want the place but the fishy on me

Got a lot to be but I'll slap your knee

Fishy 2B but I don't know he

Fishy on me if the fishy 2B

I don't know what the place but the fishy on me

Fishy on me, fishy on me

I don't know the place but the fishy on me

2HB I'll slap your knee  

I'll slap your knee

Fishy on me, a place to be

I don't know what the place but the fishy on me

Fishy on me, I'll slap your knee. fishhhyyyyyyyyyyyyyyyyyyyyyyyyyyy

Answer:

The more area a room has the more things you can put in it

Step-by-step explanation:

The maximum number of camera boxes that can fit in the container is 1485.

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

The volume of each camera box is given by the cube of the side length, which is (1/2)³ = 1/8 cubic feet.

The volume of the container is given by multiplying its length, width, and height, which gives:

= 5 1/2 ft x 7 1/2 ft x 4 1/2 ft
= 5.5 ft x 7.5 ft x 4.5 ft
= 185.625 cubic feet

To find the maximum number of camera boxes that can fit in the container, we need to divide the volume of the container by the volume of each camera box:

185.625 cubic feet / (1/8 cubic feet per camera box) = 1485 camera boxes

Therefore, the maximum number of camera boxes that can fit in the container is 1485.

Learn more about Volume here:
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Answer:

Average

Step-by-step explanation:

Mean is the average of a set of numbers that you are given.

To get the mean you need to add up all the numbers and divide that total number by the amount of numbers you had.

Answer:

4000 miles an hour

Step-by-step explanation:

32000 ÷ 8 = 4000 miles an hour

Answer:

The answer is the third option

Step-by-step explanation:

Answer:

y=13

Step-by-step explanation:

ndnjekskssj unlock ignition

Answer:

-6/5

Step-by-step explanation:

In order to find the slope of a line perpendicular to another, you have to take the negative reciprocal.

This basically means that you multiply the slope by -1 and flip it, switch the numerator and denominator, find the reciprocal, whatever you want to call it. (but reciprocal is the proper term for it)

In this case, after multiplying it by -1, it would be -5/6, and taking the reciprocal would make it -6/5.

Answer:

Midnight (D)

Step-by-step explanation:

Answer:

5749234

Step-by-step explanation:

Answer:A squre = c square = B square

Step-by-step explanation:

Give me Brainleist plz

Answer:

Number of total arrangement of beads = 2,520

Step-by-step explanation:

Given:

Number of beads in necklace = 8 beads

Find:

Number of total arrangement of beads

Computation:

Changing beads is a cyclic permutation,

So,

Formula to find number of total arrangement in cyclic permutation

(n-1)!/2 , where n = number of item

So,

(n-1)!/2

Number of total arrangement of beads = (8-1)!/2

Number of total arrangement of beads = (7)!/2

Number of total arrangement of beads = (7 x 6 x 5 x 4 x 3 x 2 x 1) / 2

Number of total arrangement of beads = 5,040 / 2

Number of total arrangement of beads = 2,520

Answer:

-4x + 5y = 40

Step-by-step explanation:

- move the expression to the left, so you want to get y - 4/5x = 8

-  multiply both sides so you get 5y - 4x = 40

- reorder the terms so you get -4x + 5y = 40

personally, I would change the signs afterwards to get 4x - 5y = -40, but the last thing I wrote was what was shown in that picture you sent. hope this helped :)

Answer:

B. [tex](x-1)^2+(y+4)^2=4[/tex]

Step-by-step explanation:

The general equation of a circle with center (h,k) and radius r is given by :

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Substituting the given values of the center and radius into this equation we get:

[tex](x-1)^2+(y-(-4)^2=2^2[/tex]

==> remove parenthesis

[tex](x-1)^2+(y+4)^2=2^2[/tex]

==> simplify exponents

[tex](x-1)^2+(y+4)^2=4[/tex]

The equation of a circle with center (1,-4) and radius (2) is [tex](x-1)^2+(y+4)^2=4[/tex]

Learn more about the equation of a circle here : https://brainly.com/question/27248248

Answer:

5 (blue) +3 (orange) +4 (red) =12 (total)

5 (blue) +3 (orange)=8 (number of marbles that aren't red) or 12 (total) - 4 (red marbles)=8

Answer:

= 8p

Step-by-step explanation:

Steps

2p · 4

Remove parentheses: (a) = a

= 2p · 4

Multiply the numbers: 2 · 4 = 8

= 8p

Answer:

0.

Step-by-step explanation:

When you multiply 2*0, it will be equal to 0. 0+5= 5.

Answer:

279

Step-by-step explanation:

First, you plug in 500 for " x " because it says P( 500 ).

P( 500 ) = 0.75 (500) -96

Then, you multiply / simplify

P ( 500 ) = (375) - 96

P ( 500 ) = 279

Finally, it gives you your answer for selling 500 pretzels

279

Answer:

C=84

Step-by-step explanation:

Since you use 3 for pi. You plug the radius into the formula. C=2×3x14=84

Answer:

Limaçon

Step-by-step explanation:

In geometry, a limaçon or limacon /ˈlɪməsɒn/, also known as a limaçon of Pascal, is defined as a roulette formed by the path of a point fixed to a circle when that circle rolls around the outside of a circle of equal radius.

The name of the shape depicted in the graph below is a. Limacon.

Polar curves are the curves which are formed using the polar coordinate system.

The distance of the points from the origin will be varying depending on the angle from the positive X axis.

The given curves in the option Limacon, Rose, Cardioid, Lemniscate are types of polar curves.

Limacon is the curve which is also known as Pascal's snail. It is formed by following the path by a fixed point to a circle when this circle rolls another circle's of equal radius outside.

The given shape is the limacon with inner loop.

Lemniscate will always be a 8 shaped curve.

Hence the correct option is a, limacon.

Learn more about Polar Curves here :

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Answer:

Step-by-step explanation:

(1,5 ) indicates that for every 1 book they make 5 dollars so the point means that for every book they sell they make 5 dollars.

Answer:

I think its b

Step-by-step explanation:

Answer:

5,024,000,005.006

Step-by-step explanation:

This is the standard form of five billion, twenty-four million, five and six thousandths.