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LiRa [457]
3 years ago
15

Pls help Find the surface area of the composite figure.

Mathematics
1 answer:
Dmitry [639]3 years ago
6 0

Answer:

644 cm³

Step-by-step explanation:

Surface area of the composite figure = (surface area of the upper cuboid - base area of upper cuboid) + (surface area of the lower cuboid - base area of the upper cuboid)

✔️Surface area of upper cuboid = 2(LW + LH + WH)

L = 3

W = 3

H = 8

Surface area of upper cuboid = 2(3*3 + 3*8 + 3*8) = 2(9 + 24 + 24) = 114 cm²

✔️Surface area of Surface area of lower cuboid = 2(LW + LH + WH)

L = 12

W = 10

H = 7

Surface area of lower cuboid = 2(12*10 + 12*7 + 10*7) = 2(120 + 84 + 70) = 548 cm²

✔️Base area of upper cuboid = L*W

L = 3

W = 3

Base area = 3*3 = 9 cm²

✅Surface area of the composite figure = (114 - 9) + (548 - 9) = 105 + 539 = 644 cm³

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Area of the base= 324cm square , Height=8cm. Find the volume of the cylinder.​
WARRIOR [948]
It’s just 324 x 8 because base x height

2592cm^3
5 0
3 years ago
A square pyramid is made up of a base with a side length of 10 inches and faces that are triangles with a height of 12 inches. W
Ganezh [65]

Answer:

D. 340 square inches

Step-by-step explanation:

Side length translates to 1 side of the square, so you do 10 x 10 to find the area of the square.

10 x 10 = 100

The triangle one isn't much more difficult. The formula for finding the area of a triangle is bh1/2

So:

10 x 12 = 120/2=60

From there just multiply the result by 4- the amount of triangles on the square pyramid, and you'll get your answer.

60

x 4

240 + 100 = 340 square inches

if this helped brainliest would be epic

3 0
3 years ago
Read 2 more answers
PLEASE HELP FAST READ EVERYTHING CORRECTLY ITS ASKING FOR GRAPHING ILL MARK BRIANLIST FOR EVERYTHING!
vaieri [72.5K]

Answer:

They can`t cross because the slopes are the same.

Since the first equation isn`t simplified, I`ll simplify it.

-x + 4y = -8

4y = x - 8

<u>y = x - 2</u>

After both are simplified, both slopes will be positive 1x. That means the lines are parallel and never cross. I`m sorry if this wasn`t much help, but that is the only answer I can think of. If there is not other option than placing a real answer, than I wouldn`t know how to solve this, sorry.

4 0
3 years ago
Use synthetic division to solve (4x^3-3x^2+5x+6)/(x+6).what is the quotient
ladessa [460]

Answer:

The quotient= 4x^2-27x+167.

Step-by-step explanation:

Given

Dividened= 4x^3-3x^2+5x+6

Divisor=x+6

In synthetic division : Put denomerator is equal to zero.

Put x+6=0

x=-6

Put -6 in division box as a divisor.

Coefficient of x^3=4

Coefficient of x^2=-3

Coefficient of x=5

Constant value=6

Put the coefficient of x^3,x^2,x and constant in descending order of power of x in  division problem.

Now ,bring the coefficient of x^3 is 4  straight down .

Now, multiply the numbe -6 in the division box with the number 4 brought down and put the result -24  below the number - 3 of next column.

By adding we get -27 and  write result in the bottom of row .

Again ,the number -6 multiply with -27 and put the result=162 below the number of next column.

By adding two number together we get 167 and put the result in the bottom of row.

Again, the number -6 in division box multiply with  the number 167 and put the result=1002 below the number of next column.

Adding two number together we get 1008 and write in the bottom of row.

Last number is remainder and then write the remainder  in fraction .

In quotient the power of x reduces by 1  from the numertor.

Hence, the quotient =4x^2-27x+167

Remainder=\frac{1008}{x+6}.

7 0
3 years ago
Read 2 more answers
Identify the vertex for the graph of y = 2x2 + 8x − 3
xxTIMURxx [149]
X = -b/2a
x = -8/4
x = -2
Plug -2 in for x and solve for y
y = 2(-2)^2 + 8(-2) -3
y = 8 -16 -3
y = -11
Vertex (-2, -11)
5 0
4 years ago
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