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aivan3 [116]
3 years ago
10

Can someone help me with this trig ratio question please?

Mathematics
1 answer:
Sveta_85 [38]3 years ago
5 0

Answer:

sin D = 118/119

Step-by-step explanation:

sin = opposite side/hypotenuse

sin D = 118/119

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find the volume of the cone. either enter exact answer in terms of pi or use 3.14 for pi and round your final answer to the near
SCORPION-xisa [38]

Answer:

6\pi u^3 = 18.8u^3

Step-by-step explanation:

the information we have is:

  • the radius of the circle in the base: r=3u (u for units)
  • and the height of the cone: h=2u

to find the volume we need the formula for the volume of a cone:

V=\frac{\pi r^2h}{3}

where r is the radius and h is the height.

Substituting the known values to find the volume:

V=\frac{\pi (3u)^2(2u)}{3} \\\\V=\frac{\pi (9u^2)(2u)}{3}\\ \\V=\frac{18\pi u^3}{3}\\ \\V=6\pi u^3

the volume in terms of \pi is 6\pi u^3

and if we substitute the value of pi: \pi=3.14 we get:

V=6(3.14)u^3\\V=18.8u^3

5 0
3 years ago
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The amount sean makes each day depends on how much he works. Write an equation that represents the total, T, Sean makes each day
tankabanditka [31]
H x r = T  The number of hours Sean works is represented by (h), Sean gets paid (r) per hour.  By multiplying the number of hours worked by the rate per hour you get the total amount Sean gets paid (T) 
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A person on the top of a tall building looks through his binoculars at his friend that is 300 ft away from the building on the g
Gnesinka [82]
In this instance the distance will be the hypotenuse of a right angle triangle.
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4 years ago
Find the area bounded by the curve y = x 1/2 + 2, the x-axis, and the lines x = 1 and x = 4 A. 16 B. 10 2/3 C. 7 1/2 D. 28 1/2
jeka94
To find the area of the curve subject to these constraints, we must take the integral of y = x ^ (1/2) + 2 from x=1 to x=4
Take the antiderivative: Remember that this what the original function would be if our derivative was x^(1/2) + 2 
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* To check that this is correct, take the derivative of our anti-derivative and make sure it equals x^(1/2) + 2

To find integral from 1 to 4:
Find anti-derivative at x=4, and subtract from the anti-derivative at x=1
2/3 * 4 ^ (3/2) + 2(4) - (2/3) *1 - 2*1
2/3 (8) + 8 - 2/3 - 2                               Collect like terms
2/3 (7) + 6                                             Express 6 in terms of 2/3
2/3 (7) + 2/3 (9)
2/3 (16) = 32/3 = 10 2/3          Answer is B

6 0
3 years ago
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