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tangare [24]
3 years ago
15

Numbers between 61 and 107 that is a multiple of 3, 6, and 8

Mathematics
1 answer:
alexandr1967 [171]3 years ago
3 0
72 and 96 are divisible by 3, 6, and 8.
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A circular sector has a central angle of π6 radians and a radius of 9 ft.
ohaa [14]

Answer:

\approx \: 21.2 \:  {ft}^{2}

Step-by-step explanation:

central \:  \angle   =  \frac{\pi ^{c} }{6}  = 30 \degree \\  \\ area \: of \: the \: sector =  \frac{30 \degree}{360 \degree}  \times \pi {(9)}^{2}  \\  \\  =  \frac{1}{12}  \times 3.14 \times  81 \\  \\  =   \frac{1}{12}  \times 254.34 \\  \\  = 21.195 \:  {ft}^{2}  \\  \\  \approx \: 21.2 \:  {ft}^{2}

8 0
3 years ago
Read 2 more answers
Find the exact value of tan A in simplest radical form.
spin [16.1K]

Answer:

tan(A) = \frac{2\sqrt{15}}{11}

Step-by-step explanation:

Given:

Right ∆ABC

AB = 61

BC = 60

AC = 11

Required:

Value of tan A in radical form

SOLUTION:

tan(A) = \frac{opposite}{adjacent}

Opposite = 60

Adjacent = 11

tan(A) = \frac{60}{11}

tan(A) = \frac{\sqrt{4*15}}{11}

tan(A) = \frac{2\sqrt{15}}{11}

6 0
3 years ago
Can someone help me on this?
Tpy6a [65]

Answer:

11\frac{1}{4}

Step-by-step explanation:

7 0
3 years ago
A lunch box costs $4.50 plus sales tax. After sales tax, the lunch box is $4.86. What is the sales tax rate?
Alborosie
8 percent (C)

To find 1% you divide 4.50 by 100, which is 0.045.

Then you have to find what is added on.
4.86-4.50 is .36

Now you divide .36 by 0.045. An easier way to do this is 360 divided by 45. This equals 8.

Hope this helped
3 0
3 years ago
If the volume of the pyramid shown is 360 inches cubed, what is its height?
dimaraw [331]

Answer:

9 inches

Step-by-step explanation:

The formula for the volume of a rectangular pyramid is V = \frac{1}{3}(l*w*h)

  • Here we have volume (V), base (L), and width (W)
  • V = 360 in³, L = 12 in, W = 10 in

We need to manipulate the volume equation to solve for the height (H)

  • First we need to multiply both sides by 3 to get rid of the fraction:  3V = L×W×H
  • Then we need to divide both sides by (L×W) to get: \frac{3V}{lw} =h

Now we can plug in the given values:

  • \frac{3(360in^{3}) }{(12 in)(10in)} =\frac{1080in^{3} }{120in^{2} } = 9in
  • The height is 9 inches
4 0
4 years ago
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