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Alisiya [41]
2 years ago
9

A messenger entered a building on the ground

Mathematics
1 answer:
sp2606 [1]2 years ago
8 0
He first travels 15 floors. He then travels 12 floors, to get to the 3rd floor. He finally travels 35 floors, for a total of 62 floors.
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Find the volume and surface area of the prism below
Nata [24]

Answer:

a) The volume of the prism is 660 mm³

b) The surface area of the prism is 514 mm²

Step-by-step explanation:

The given prism for which we are to find the volume and the surface area shows the dimensions of the sides

a) To find the volume, we can consider the prism as a composite figure as follows;

The topmost cuboid with dimensions (15 - 2×3) mm, 3 mm, and 9 mm

Therefore, the volume of the topmost cuboid, V₁, is given as follows;

V₁ = 5 mm × 3 mm × 9 mm = 135 mm³

The volume of the cuboid on which the top cuboid rest, V₂, is given as follows;

V₂ = 15 mm × 5 mm × 7 mm = 525 mm³

The volume of the prism, V = V₁ + V₂

Therefore, we have;

V =135 mm³ + 525 mm³ = 660 mm³

The volume of the prism, V = 660 mm³

b) The surface area of the prism is given as follows;

The surface area of the top cuboid, SA₁, is given as follows;

SA₁ = 9 mm × 5 mm + 2 × 3 mm × 9 mm + 2 × 3 mm × 5 mm = 129 mm²

The surface area of the larger cuboid, SA₂, is given as follows;

SA₂ = 2 × 15 mm × 7 mm + 2 × 5 mm × 7 mm + 2 × 3 mm × 5 mm + 15 mm × 5 mm = 385 mm²

The surface area of the prism, SA = SA₁ + SA₂

∴ The surface area of the prism, SA = 129 mm² + 385 mm² = 514 mm²

4 0
2 years ago
Monique worked for 4 hours and earned $39.79. How much would she earn if she worked for 6 hours? I HELP WITH IT RNN​
loris [4]

Answer:

x=$59.69

Step-by-step explanation:

We can create a proportion to find the answer.

Thus, we get 4 hr/$39.79=6 hr/$x.

Cross multiplying gives us 4x=238.74, and solving for x gives us $59.685.

We can round to $59.69.

5 0
2 years ago
Multiply. Write in simplest form. Identify the two whole numbers between which the product lies 3x3/4 and 6x4/5
likoan [24]
2.25 and 4.8 =10.8

Hope this helps!
4 0
3 years ago
Read 2 more answers
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS HELP
nalin [4]

Answer:

Division

Step-by-step explanation:

The order of operations (the simplest version) is...

PEMDAS

P: Parentheses

E: Exponents

M/D: Multiplication/Division (whichever comes first)

A/S: Addition/Subtraction (whichever comes first)

The answer is division, since it comes before addition and subtraction.

3 0
2 years ago
Pls Answer..........................................
Vlad1618 [11]

Answer:

C= 27

G= 37

J=57

Z= 1

Step-by-step explanation:

These are the degrees because of the Triangle Sum Theorem which states that The sum of the measures of the angles in a triangle is 180°. So angle C for example is 27 because angle A is 53 and angle B is 100 add both of those and you get 153 so our equation would be 153+c=180, c being the angle, so then to solve this you do do 180-153 and that equals 27 so therefore, 153+27=180. This process applys to all the other angles as well ^w^

3 0
3 years ago
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