Similar Not Similar Please help please

Mathematics

1 answer:

solong [7]3 years ago

6 0

Answer:

I dont think thats similar

Step-by-step explanation:

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Find the volume of this figure. Round to the nearest hundredths. The image shows a sphere with a radius of 8m.

Nastasia [14]

The volume of the given figure is 2,144.60 cubic m.

Step-by-step explanation:

Step 1:

The given sphere has a radius of $r=8$ m.

The volume of a sphere is given by multiplying $\frac{4}{3}$ with π and the cube of the radius (r³).

The volume of a full sphere $=\frac{4}{3} \pi r^{3}$ .

Step 2:

Here the radius is 8 m. We take π as 3.1415.

The volume of a full sphere $=\frac{4}{3} \pi r^{3} = \frac{4}{3} (3.1415) (8^{3}) = 2,144.5973$ cubic m.

The volume of the sphere is 2,144.5973 cubic m, rounding this off, we get the volume as 2,144.60 cubic m.

6 0

3 years ago

the sides of a triangle are 15 ft, 17 ft, and 13 ft. find the measure of the angle opposite the longest side. round your answer

Gemiola [76]

Answer: 74°

Step-by-step explanation:

$Using the Law of Cosines: $$\begin{aligned} \text { Given, } a &=15 f t, \ b=13 f t, \ c=17 f t \\c^{2} &=a^{2}+b^{2}-2 a b \cos C \\(17)^{2} &=(15)^{2}+(13)^{2}-2(15)(13) \cos C \\289 &=225+169-390 \cos C \\390 \cos C &=225+169-289 \\\cos C &=\frac{225+169-289}{390} \\\cos C &=\frac{105}{390} \\\cos C & \approx 0.26923 \\C & \approx \cos (0.26923) \\C & \approx 74^{\circ}\end{aligned}$