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valentina_108 [34]
2 years ago
9

the value of a varies directly as the square of the value of b, and b=3 when a=10. Find the value of a when b=9.

Mathematics
1 answer:
Charra [1.4K]2 years ago
4 0

Answer:

answer = 90

Step-by-step explanation:

General equation:  a = k*b^2

Specifically:          10 = k*(3)^2 = 9 k

Solving for k:  k = 10/9

Then a = (10/9)b^2.    If b = 9, then a = (10/9)(9)^2 = 90 (answer)

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An arc with length 5 pi over 4 inches is formed by a 15 degree central angle what is the radius of the circle
Natalka [10]

Answer:

Radius of the circle is <em>15 inches.</em>

<em></em>

Step-by-step explanation:

Relation between length of arc, radius and the angle subtended by the arc on center is:

\theta = \dfrac{l}{r} ..... (1)

where \theta is the central angle in radians subtended by arc

l is the length of arc

r is the radius of arc

We are Given the following details:

l = \dfrac{5\pi}{4}\ inch

\theta = 15^\circ

We know that \pi \ radians = 180 ^\circ

Converting \theta to radians:

\theta =\dfrac{\pi}{180} \times 15 radians

Putting the values of \theta and l to find the value of r

\dfrac{\pi}{180} \times 15 = \dfrac{5\pi}{4r}\\\Rightarrow r = \dfrac{45}{3} \\\Rightarrow r = 15 \ inches

Hence, Radius of the circle is <em>15 inches.</em>

6 0
3 years ago
1.Define phase shift. Could every sine function be expressed as a phase shifted cosine function? Explain.
Ann [662]
A phase shift is defined as the a<span>mount of x by which sinusoid is shifted to the left or right.
 
And yes, </span><span>every sine function be expressed as a phase shifted cosine function:
</span>
sin(t)=cos(90-t)

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
4 0
3 years ago
-5 (2x-6) + 8x = 22<br><br>x = ??<br>help me pls!
vekshin1
I think x will be 22( i know im not smart)
7 0
4 years ago
Read 2 more answers
20 POINTS <br> Can someone please explain what I did wrong?
mr_godi [17]

Your diagram is correct.

I would have however written the Given as stated

Given :

XB≅XA≅AY≅YB ( If they are equidistant then they are all the same distance, thus the values will all be equal)

Prove:

<x≅<b≅<y≅<a (this is because a square is formed) < is angle

XM≅YM≅AM≅MB (The fact that the previous statements are true means that this is a square, if M is the midpoint than all these segments are equal)

MX≅MY

Im not sure what you did wrong besides maybe you didn't prove it well enough, everything is correct that you have written. I cant read the pen but it looks like you were missing a step.


3 0
3 years ago
Rearrange to make x the subject<br> 4(x-3)/a=y
klio [65]

Answer:

Answer: x = a*y + 3

Step-by-step explanation:

To make x the subject of the equation, first, we open the bracket

4x - 12/a = y

Then cross multiply:

4x - 12 = a * y ( a*y means the product of the two variables)

Add 12 to both sides of the equation

4x = a*y + 12

Divide both sides by 4 to get the value of x

x = a * y + 12/4

x = a*y + 3

3 0
3 years ago
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