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Paraphin [41]
3 years ago
13

Please help find missing side length

Mathematics
1 answer:
maria [59]3 years ago
5 0

Answer:

The missing side length is 6.

Step-by-step explanation:

Because the two triangles are similar,

the following equation of ratios is true:

m        4

----- = -----

15       10

Cross-multiplying, we get:

10m = 60, or m = 60/10 = 6

The missing side length is 6.

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Solve for A if ñ=3.14 and r=3.
julsineya [31]

Answer:

28.26

Step-by-step explanation:

The question gives the first three digits of π, which is 3.14, and it gives us the radius, which is 3. So, just substitute them into the formula and you’ll get 3.14(3^2). Solve it and the final answer is 28.26.

Hope this helps! :)

6 0
2 years ago
Factor b2 + b – 6.
Ulleksa [173]
The answer is A,(b + 3)(b - 2)
6 0
3 years ago
A prop for the theater club’s play is constructed as a cone topped with a half- sphere. What is the volume of the prop? Round yo
san4es73 [151]

The volume of the prop is calculated to be 1,875.6 cubic cm.

Step-by-step explanation:

Step 1; The prop consists of a cone and a half-sphere on top. We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.

Step 2; The volume of a cone is determined by multiplying \frac{1}{3} with π, the square of the radius (r²) and height (h). Here we substitute π as 3.14. The radius is 8 cm and the height is 12 cm.

The volume of the cone = \frac{1}{3} × 3.14 × 8 × 8 × 12 = 803.84 cubic cm.

Step 3; The area of a half-sphere is half of a full sphere. The volume of a sphere is given by multiplying \frac{4}{3} with π and the cube of the radius (r³). Here the radius is 8cm. We take π as 3.14.

The volume of a full sphere = \frac{4}{3} × 3.14 × r³ = \frac{4}{3} × π × 8³ = 2,143.5733 cubic cm.

The volume of a half-sphere = \frac{ 2,143.5733}{2} = 1,071.7866 cubic cm.

Step 4; The total volume = The volume of the cone + The volume of the half sphere,

The total volume = 803.84 cubic cm + 1,071.7866 cubic cm = 1,875.6266 cubic cm. By rounding this off to the nearest tenth we get 1,875.6 cubic cm.

4 0
3 years ago
I WILL MARK BRAINLIEST IF YOU ANSWERED NOW!!
Ksivusya [100]
B.likely as probability is 5/6 which is very close to 1
6 0
2 years ago
Read 2 more answers
The measure of arc QS is (4x – 18)°.
Zigmanuir [339]

Answer: 49.5

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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