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OLEGan [10]
3 years ago
7

If y varies directly as x, and y=21 when x=9, find x when y=52.5

Mathematics
2 answers:
Aleksandr [31]3 years ago
8 0
21_____9
52.5_____x

X:52.5 * 9 / 22.5
X: 472.5/21
X: 22.5
AnnyKZ [126]3 years ago
3 0
When y=21 and x=9
21/9
which means that to go from x to y, you multiply x by 2.33
2.33x=y

2.33x=52.5
divide both sides by 2.33
x=22.53 (when rounded) 

so when y=52.5, x=22.53
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8 0
2 years ago
WILL GIVE BRAINLEST ANSWER IF ANSWERED IN THE NEXT 24 HRS Express the complex number in trigonometric form. -5i
trasher [3.6K]

Answer:

z=5\left(\cos \left(\dfrac{3\pi}{2}\right)+i\sin \left(\dfrac{3\pi}{2}\right)\right)

Step-by-step explanation:

If a complex number is z=a+ib, then the trigonometric form of complex number is

z=r(\cos \theta +i\sin \theta)

where, r=\sqrt{a^2+b^2} and \tan \theta=\dfrac{b}{a}, \theta is called the argument of z, 0\leq \theta\leq 2\pi.

The given complex number is -5i.

It can be rewritten as

z=0-5i

Here, a=0 and b=-5. \theta lies in 4th quadrant.

r=\sqrt{0^2+(-5)^2}=5

\tan \theta=\dfrac{-5}{0}

\tan \theta=\infty

\theta=2\pi -\dfrac{\pi}{2}    [\because \text{In 4th quadrant }\theta=2\pi-\theta]

\theta=\dfrac{3\pi}{2}

So, the trigonometric form is

z=5\left(\cos \left(\dfrac{3\pi}{2}\right)+i\sin \left(\dfrac{3\pi}{2}\right)\right)

4 0
3 years ago
Read 2 more answers
Math help please will give brainliest
natulia [17]
The answer is C. go with it.
3 0
3 years ago
Question 10 of 21
PSYCHO15rus [73]

<u>ANSWER</u>

A. (4,12)

<u>EXPLANATION</u>

The equations are:

10x +2y = 64...(1)

and

3x - 4y = -36...(2)

To eliminate a variable we make the coefficients of that variable the same in both equations.

It is easier to eliminate x.

We multiply the first equation by 2 to get:

20x + 4y = 128...(3)

We add equations (2) and (3).

3x + 20x + 4y - 4y =  - 36 + 128

23x = 92

Divide both sides by 23

\frac{23x}{23}  =  \frac{92}{23}

x = 4

Put x=4 into equation (1).

10(4)+2y = 64

40+2y = 64

2y = 64 - 40

2y = 24

\frac{2y}{2}  =  \frac{24}{2}

y = 12

The solution is (4,12)

6 0
3 years ago
What is 3/5=h/20 can you please help me
baherus [9]
3/5 x 4 = 12/20
H = 12
Sorry if wrong
7 0
3 years ago
Read 2 more answers
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