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mina [271]
4 years ago
6

A cone's height is equal to the radius of its base. The area of its base is 1,386 square units. The approximate radius of the co

ne's base is____ units. The approximate volume of the cone is ____cubic units. Use . Pie= 22/7
Mathematics
1 answer:
maxonik [38]4 years ago
4 0

Answer:

  • 21 units
  • 9702 units³

Step-by-step explanation:

The area of the base is given by the formula ...

  A = πr²

so the radius is ...

  r = √(A/π) = √(1386/(22/7)) = √441 = 21 . . . units

__

The volume is given by ...

  V = (1/3)Bh

where B is the area of the base, and h is the height (equal to the radius). Filling in the numbers, we have ...

  V = (1/3)(1386)(21) = 9702 . . . . cubic units

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Debora [2.8K]
Use desmos hope that helps
4 0
3 years ago
If sin(x) = 5/13, and x is in quadrant 1, then tan(x/2) equals what?
Rufina [12.5K]
x is in quadrant I, so 0, which means 0, so \dfrac x2 belongs to the same quadrant.

Now,

\tan^2\dfrac x2=\dfrac{\sin^2\frac x2}{\cos^2\frac x2}=\dfrac{\frac{1-\cos x}2}{\frac{1+\cos x}2}=\dfrac{1-\cos x}{1+\cos x}

Since \sin x=\dfrac5{13}, it follows that

\cos^2x=1-\sin^2x\implies \cos x=\pm\sqrt{1-\left(\dfrac5{13}\right)^2}=\pm\dfrac{12}{13}

Since x belongs to the first quadrant, you take the positive root (\cos x>0 for x in quadrant I). Then

\tan\dfrac x2=\pm\sqrt{\dfrac{1-\frac{12}{13}}{1+\frac{12}{13}}}

\tan x is also positive for x in quadrant I, so you take the positive root again. You're left with

\tan\dfrac x2=\dfrac15
4 0
3 years ago
Emilio owns a bakery. The number of boxes of cookies he has left on a Monday is represented by the function x + y = 42, where y
Katarina [22]

Answer:

y=42-x

x=42-y

Step-by-step explanation:

x=42-y

Subtract y from both sides of the equation

y=42-x

Subtract x from both sides of the equation

3 0
3 years ago
Tito Jackson had $30.85. He took a girl on date to a nice restaurant, and the bill was $48. 67. How much money does he have in h
meriva

Answer:

$-17.82

Step-by-step explanation:

he has $-17.82 because 30.85(the amount he has)-48.67(the amount he paid for) = -17.82

6 0
3 years ago
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M−4=2m what's the value of m
romanna [79]

Answer:

m=-4

Step-by-step explanation:

4 0
3 years ago
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