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2 years ago

Please help! math! (17 points was max) PICTURE ATTACHED

Mathematics

1 answer:

mario62 [17]2 years ago

6 0

Step-by-step explanation:

angle A and Angle D are congruent. as are Angle C and Angle F.

because you have two pairs of congruent angles this proves the triangles are similar using AA Theorem.

I couldn't read the 3rd question. if you post as a comment I can look at it better.

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In the diagram below QRS=NMP what is length in inches of MP

Veronika [31]

Mp is congruent to rs

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3 years ago

Based on the piecewise graph, which is the domain?

joja [24]

The answer is 0 < x < infinity

5 0

2 years ago

HELP DUE TODAY

Fudgin [204]

I think it is D
Hope my answer help you?

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3 years ago

A series of three? separate, adjacent tunnels is constructed through a mountain. Its length is approximately 25 kilometers. Each

Nadya [2.5K]

Answer:

$312.5\pi \text{ km}^3\approx 981.75\text{ km}^3$

Step-by-step explanation:

We have been given that a series of 3 separate, adjacent tunnels is constructed through a mountain. Its length is approximately 25 kilometers.

Each of the three tunnels is shaped like a half-cylinder with a radius of 5 meters.

Since we know that volume of a semicircular or a half cylinder is half the volume of a circular cylinder.

$\text{Volume of a semicircular cylinder}=\frac{\pi r^2h}{2}$ , where,

r = Radius of cylinder,

h = height of the cylinder.

Upon substituting our given values in volume formula we will get,

$\text{Volume of a semicircular cylinder}=\frac{\pi (5\text{ km})^2*25\text{ km}}{2}$

$\text{Volume of a semicircular cylinder}=\frac{\pi*25\text{ km}^2*25\text{ km}}{2}$

$\text{Volume of a semicircular cylinder}=\frac{\pi*625\text{ km}^3}{2}$

$\text{Volume of a semicircular cylinder}=\pi*312.5\text{ km}^3$

$\text{Volume of a semicircular cylinder}=981.74770\text{ km}^3$

Therefore, the volume of earth removed to build the three tunnels is $312.5\pi \text{ km}^3\approx 981.75\text{ km}^3$ .

4 0

3 years ago

A triangular prism is shown.<br> What is the surface area of the triangular<br> prism?

Brilliant_brown [7]

Answer:

Area= 840

Step-by-step explanation:

Area= (20x13)x2+(10x12x1/2)x2+10x20

=520+120+200

=840

Area=Two area of the triangle [13x20] + Two area of the rectangle + Under area (rectangle)- [10x20]

5 0

3 years ago