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3 years ago

Write 60 as the product of two factors

1 answer:

5 0

Use a factor tree to express 60 as a product of prime factors. So the prime factorization of 60 is 2 × 2 × 3 × 5, which can be written as 2 2 × 3 × 5.

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The diameter of a sphere is 16 cm. What is the sphere's volume? Round to the nearest tenth.

ohaa [14]

Answer:

V ≈ 2144.70 $cm^3$

Step-by-step explanation:

Radius is going to be used instead of the diameter. Half of 16 is 8, and so that will be the value that shall be used.

$V = (4/3)\pi (8)^3$

V ≈ 2144.66 $cm^3$

V ≈ 2144.70 $cm^3$

5 0

3 years ago

Find all possible values of theta if it is between

andrew11 [14]

See attached image for work.

5 0

2 years ago

The pentagonal prism has a perpendicular distance of 14 units between the bases. The volume of the prism is 840 cubic units. Wha

Leno4ka [110]

Answer:

Option 4. Perimeter = 30 units

Step-by-step explanation:

Since the volume of a pentagonal prism is 840 cubic units.

Perpendicular distance between the bases = 14 units

We know volume of a pentagonal prism = Area of base × distance between the bases

840 = Area × 14

Area = 840/14 = 60 square units

Now area of a pentagon

$A=\frac{a^{2}}{4}\times\sqrt{5(5+2\sqrt{5})}$

$1.72a^{2}=60$

$a^{2}=\frac{60}{1.72}=34.90$

$a=\sqrt{34.9}=5.91$

Therefore perimeter of the pentagon = 5×a = 5×5.91 = 29.54 ≈ 30 units

8 0

3 years ago

Farmer Ted bales large round bales of hay to store in his barn for winter feeding. How much hay is in a round bale, in terms of

NNADVOKAT [17]

Answer:

20π ft³

Step-by-step explanation:

I just did it on the USATestprep

8 0

3 years ago

Cone A has a radius of 12 inches and Cone B has a radius of 30 inches. If the cones are similar and the volume of Cone A is 48 f

Vika [28.1K]

Answer:

750 ft^3

Step-by-step explanation:

Given that the cones are similar, the first step would be to determine their linear scale factor; That is the ratio of their radii;

$\frac{RadiusB}{RadiusA}=\frac{30}{12}=2.5$

The next step is to determine the volume scale factors. Since the linear scale factor is 2.5, the volume scale factor would be;

volume scale factor = (linear scale factor)^3

= 2.5^3 = 125/8

The volume of Cone B will thus be;

volume of Cone A * volume scale factor = 48 * 125/8 = 750 ft^3

6 0

3 years ago