3 years ago

What’s the volume of this cone?

Mathematics

1 answer:

lara [203]3 years ago

5 0

200
Because you have to multiply

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The line with equation a + 4b = 0 coincides with the terminal side of an angle θ in standard position and cos θ>0 . What is t

Nikitich [7]

Answer:

$\frac{-1}{\sqrt{17} }$

Step-by-step explanation

We have given that equation of line a+4b=0

⇒4b= -a

⇒ $b= \frac{-a}{4}$

slope of line = $tan\theta =\frac{P}{B}= \frac{-1}{4}$

⇒ $tan\theta$ is negative therefore it lies into 4th quadrant

By, Pythagoras theorem $H^2=P^2+B^2$

by putting value of P= -1 & B=4

the value of $H=\sqrt{17}$

with the given condition $cos\theta>0$

i.e. $\theta$ ∈ (3π/2, 2π)

now, $sin\theta= \frac{P}{H}= \frac{-1}{\sqrt{17}}$

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Joel is twice as old as Kayla in 5 years the sum of their ages will be 55 years what are the ages of two people

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Kayla is 15 while joel is 30

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It would be a 1 in 4 chance

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A system of equations is shown below.

Nimfa-mama [501]

-3x + 7y = -16 . . . (1)
-9x + 5y = 16 . . . .(2)

(1) x 3 => -9x + 21y = -48 . . . (3)
(2) - (3) => -16y = 64 . . . (4)

Required equivalent system of equations is
-9x + 5y = 16
-16y = 64

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What are the solutions to the system of equations?<br> y= x^2 - 4x + 8<br> y= 2x +3

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(1, 5) and (5, 13)

Step-by-step explanation:

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