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Elina [12.6K]
3 years ago
8

Gus started with a number he multiplied by 8 subtracted 12 divided by 4 and added 7 to get 50 show how to work backward to find

the starting number
Mathematics
1 answer:
DanielleElmas [232]3 years ago
6 0

Answer:

23

Step-by-step explanation:

This equation can be derived from the question

let a represent the initial number Gus started with

{[(a x 8) - 12] / 4 } + 7 = 50

subtract 7 from both sides of the equation

[(a x 8) - 12] / 4 } = 43

Multiply both sides of the equation by 4

(a x 8) - 12] = 172

Add 12 to both sides

8a =184

Divide both sides by 8

a = 23.

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Express the quotient of z1 and z2 in standard form given that <img src="https://tex.z-dn.net/?f=z_%7B1%7D%20%3D%20-3%5Bcos%28%5C
Lesechka [4]

Answer:

Solution : -\frac{3}{4}-\frac{3}{4}i

Step-by-step explanation:

-3\left[\cos \left(\frac{-\pi }{4}\right)+i\sin \left(\frac{-\pi \:}{4}\right)\right]\:\div \:2\sqrt{2}\left[\cos \left(\frac{-\pi \:\:}{2}\right)+i\sin \left(\frac{-\pi \:\:\:}{2}\right)\right]

Let's apply trivial identities here. We know that cos(-π / 4) = √2 / 2, sin(-π / 4) = - √2 / 2, cos(-π / 2) = 0, sin(-π / 2) = - 1. Let's substitute those values,

\frac{-3\left(\frac{\sqrt{2}}{2}-\frac{\sqrt{2}}{2}i\right)}{2\sqrt{2}\left(0-1\right)i}

=-3\left(\frac{\sqrt{2}}{2}-\frac{\sqrt{2}}{2}i\right) ÷ 2\sqrt{2}\left(0-1\right)i

= 3\left(-\frac{\sqrt{2}i}{2}+\frac{\sqrt{2}}{2}\right) ÷ -2\sqrt{2}i

= \frac{3\left(1-i\right)}{\sqrt{2}}÷ 2\sqrt{2}i = -3-3i ÷ 4 = -\frac{3}{4}-\frac{3}{4}i

As you can see your solution is the last option.

3 0
3 years ago
14. Is x + 2 a factor of the polynomial f(x)=2x-3x²-4x+1?
defon
Thanks for the free 10x+ points .
8 0
3 years ago
PLEASE SHOW WORK OR EXPLAIN
timofeeve [1]

Answer:

<h3>20.6 ft</h3>

Step-by-step explanation:

You must use the trigonometric function.

In this case, it will be tangent.

tangent=\dfrac{opposite}{adjacent}

We have

\theta=38^o,\ opposite=r,\ adjacent=20

\tan38^\approx0.7813

Substitute:

\tan38^o=\dfrac{r}{20}

\dfrac{r}{20}=0.7813              <em>multiply both sides by 20</em>

r=15.626

Tree height is r + 5.

Therefore

r+5=15.626+5=20.626\approx20.6\ ft

7 0
3 years ago
Can you simplify (9c^8)^1/2
Tamiku [17]

Answer: 9c8

 ———

  2

Step-by-step explanation:

32c8

Simplify   32c8———

            2

7 0
3 years ago
The scale of map indicates that 5 inches represents 40 miles. If the distance between two locations on a map is represented by 8
shutvik [7]
I believe it is 64 miles.

Hope this helps! :)
4 0
4 years ago
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