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vova2212 [387]
3 years ago
13

Which is closest to the height of a cone that has a slant height of 16 inches and a radius of 6 inches?

Mathematics
2 answers:
spin [16.1K]3 years ago
8 0

l \:  =   \sqrt{h ^{2}  \:  +  \: r^2 }
h =  \sqrt{l^{2} -  {r}^{2} }
Given
l (slant height) = 16 inches
r (radius) = 6 inches
h =  \sqrt{ {16}^{2}  -  {6}^{2} }
h  =  \sqrt{256 - 36}
h =  \sqrt{220}
h = 14.832 inches
Kay [80]3 years ago
4 0
Answer: 14.83 inches

Explanation:

h² + 6² = 16²

h² = 16² - 6²

h² = 220

h = 14.83
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State the property or properties of logarithms used to rewrite the expression.
Korvikt [17]

Answer:

The answer is option A.

<h3>Power Property and Product </h3><h3>Property</h3>

Hope this helps you

6 0
2 years ago
Toby wants to find the volume of a solid toy soldier.
mr Goodwill [35]

Answer:

Toby wants to find the volume of a solid toy soldier.He fills a rectangular container 8 cm long, 6 cm wide,and 10 cm high with water to a depth of 4 cm. Toby totally submerges the toy soldier in the water. The height of the water with the submerged toy soldier is 6.6 cm. Which of the following is closest to the volume, in cubic centimeters, of the toy soldier?

A. 125 B. 156 C. 192 D. 208 E.317

The volume of the toy is 125 cubic cm ,option A is the closest answer.

Step-by-step explanation:

Given:

A rectangular container .

Length of the container =8 cm

Width of the container = 6 cm  

Height of the container when water is filled = (h_1) = 4 cm

Height of the container when the toy is submerged = (h_2) =6.6 cm

Volume of the toy =  Volume of the container with the toy - Volume of the container (with water)

Volume of the toy = (l\times b\times h_2) - (l\times b\times h_1)

                              = (l\times b\times)(h_2-h1)

                              = (6\times 8)(6.6-4)

                              = 48\times 2.6

                              = 124.8 cubic centimeters.

So,the closest value to the volume of the toy is 125 cubic centimeters.

6 0
3 years ago
Find the coordinates of the point 13 of the way from A to B.
Travka [436]

Answer:

The answer is 0, 1/3.

Step-by-step explanation:

This is because only at 0 does the line intersect through 1/3.

4 0
2 years ago
In ΔVWX, w = 520 cm, ∠W=93° and ∠X=68°. Find the length of x, to the nearest centimeter.
Pani-rosa [81]

Answer:

482.7972612 cm. Just round from here.

Step-by-step explanation:

Ah, the sine law questions. Ok so you know \frac{sin(A)}{a} = \frac{sin(B)}{b} = \frac{sin(C)}{c}. If you don't, voila. Obviously, the variables are different but we can use the same formula. So, we have

\frac{sin(X)}{x}  = \frac{sin(W)}{w}

Plug in:

\frac{sin(68)}{x} = \frac{sin(93)}{520}

The answer when solving for x is the above

7 0
3 years ago
Mr falcons pizza shop offers three sizes of pizza the small medium and large they have diameters of 8 inches 10 inches and 12 in
yuradex [85]
The circumference = 2×pi×radius
the small = 2×3.14×4 = 25.12 inches
the medium = 2×3.14×5 = 31.4 inches
the large = 2×3.14×6 = 37.68 inches
6 0
2 years ago
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