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3 years ago

Find the total surface area of the rectangular prism

Mathematics

1 answer:

Mkey [24]3 years ago

4 0

Answer:

124

Step-by-step explanation:

To find the surface area, we add the area from all faces or the prism.

the first face, we can put 8 times 2.5, which is 20. There are two of these faces, so we have 40 in our area so far.

next the other face. 4 times 2.5 is 10, and there are two of these faces. 60 in out area.

now the top and bottom faces. 8 times 4 is 32. there are two of these faces, and 60 +64 = 124

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The endpoints of a diameter of a circle are A(3,2) and B(6,6). Find the area of the circle in terms of π.

Oksi-84 [34.3K]

Answer:

area of circle in terms of π is $\mathbf{Area=6.25\:\pi }$

Step-by-step explanation:

The endpoints of a diameter of a circle are A(3,2) and B(6,6). Find the area of the circle in terms of π.

The formula used to find area of circle is: $Area = \pi r^2$

We need to find radius of circle. For finding radius we will first find diameter of circle using distance formula.

Finding distance between points A(3,2) and B(6,6) using distance formula.

$Distance\:Formula=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

We have $x_1=3, y_1=2, x_2=6, y_2=6$

Putting values and finding distance

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(6-3)^2+(6-2)^2}\\Distance=\sqrt{(3)^2+(4)^2}\\Distance=\sqrt{9+16}\\Distance=\sqrt{25}\\Distance=5$

So, distance is 5, we can say that diameter of circle = 5

The formula used to find area of circle is: $Area = \pi r^2$

We need radius, so we know that r = d/2 so, radius = 5/2 = 2.5

Now finding area in terms of π

$Area = \pi r^2\\Area=(2.5)^2\pi \\Area=6.25\:\pi$

So, area of circle in terms of π is $\mathbf{Area=6.25\:\pi }$

6 0

3 years ago

Solve for x. You must show all of your work to receive credit.

Nastasia [14]

Answer:

x = 6

Step-by-step explanation:

7 0

2 years ago

Find the solution to the system of equations: x + 3y = 7 and 2x + 4y = 8 1. Isolate x in the first equation: 2. Substitute the v

klemol [59]

X + 3y = 7
x = -3y + 7

2x + 4y = 8
2(-3y + 7) + 4y = 8
-6y + 14 + 4y = 8
-2y = 8 - 14
-2y = - 6
y = -6/-2
y = 3

x + 3y = 7
x + 3(3) = 7
x + 9 = 7
x = 7 - 9
x = -2

solution is (-2,3)

6 0

3 years ago

Read 2 more answers

Which ordered pair is the solution to the system of equations? x+3y=12 -4x+3y=-3 A. (0, 4) B. (6, 2) C. (3, 3) D. (0, −1)

Firlakuza [10]

The answer is C: (3,3)

x+3y=12;−4x+3y=−3Step: Solvex+3y=12for x:x+3y+−3y=12+−3y(Add -3y to both sides)x=−3y+12Step: Substitute−3y+12forxin−4x+3y=−3:−4x+3y=−3−4(−3y+12)+3y=−315y−48=−3(Simplify both sides of the equation)15y−48+48=−3+48(Add 48 to both sides)15y=45‌15y15‌=‌4515‌(Divide both sides by 15)y=3Step: Substitute3foryinx=−3y+12:x=−3y+12x=(−3)(3)+12x=3(Simplify both sides of the equation)

Hope this helps!

5 0

3 years ago

What is the quotient of 2.592\times 10^72.592×10 7 and 7.2 \times 10^47.2×10 4 expressed in scientific notation?

Liula [17]

Answer:

3.6*10^3

Step-by-step explanation:

What is the quotient of 2.592× 10^7÷7.2×10^4

2.592× 10^7÷7.2×10^4

= (2.592/7.2)×10(7-4)

= 0.36*10^3

= 3.6*10^-1*10^4

= 3.6*10^(-1+4)

= 3.6*10^3

Hence the quotient expressed in scientific notation is 3.6*10^3

3 0

3 years ago