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valkas [14]
3 years ago
13

The sum of three times a number, x, and 12

Mathematics
1 answer:
Marina CMI [18]3 years ago
7 0

Answer:

the number of the x is 5 and the number of the Y is 10

Step-by-step explanation:

school

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Find the angles between -pi and pi that satisfy:<br><br> (−√3) sin(v)+cos(v)=√3
MAXImum [283]

Observe that

\sin\left(\dfrac\pi6-v\right)=\sin\dfrac\pi6\cos v-\cos\dfrac\pi6\sin v=\dfrac12\cos v-\dfrac{\sqrt3}2\sin v

In the original equation, divide both sides by \dfrac12:

-\sqrt3\sin v+\cos v=\sqrt3\implies\dfrac12\cos v-\dfrac{\sqrt3}2\sin v=\dfrac{\sqrt3}2

\implies\sin\left(\dfrac\pi6-v\right)=\dfrac{\sqrt3}2

Next,

\sin x=\dfrac{\sqrt3}2\implies x=\dfrac\pi3+2n\pi,x=\dfrac{2\pi}3+2n\pi

where n is any integer. Then

\sin\left(\dfrac\pi6-v\right)\implies v=-\dfrac\pi6-2n\pi,v=-\dfrac\pi2-2n\pi

Fix n=0 to ensure -\pi, so that

v=-\dfrac\pi6,v=-\dfrac\pi2

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3 years ago
15. A person facing east walks east 20 paces, turns, walks north 10 paces, turns, walks west 25 paces, turns, walks south 10 pac
Reptile [31]

Answer:

oo freeeeeee I was just the same thing in common use today in the vwjabahqjvqio

7 0
2 years ago
Can somebody help me with these 2 questions and show work ?? :)
777dan777 [17]

5. A. (4, -2)

6. C. (x, y) — (x, -y + 5)

Step-by-step explanation:

5. For the formula y = x, the x and y coordinates get swapped.

M = (-2, 4) — M’ = (4, -2)

6. If the coordinates get reflected across the x-axis, the y coordinates become negative.

(x, y) — (x, -y)

Now that the coordinates are reflected, you go 5 units up (+ 5) to get to the reflection of the coordinates if it was 5 units down before it reflected across the x-axis (- 5).

Ex. 1, 6 gets reflected across the x-axis and moved 5 units up. It’s reflection would be equivalent to (1, -1) because it moved 5 units down (1, 1) then reflected across the x-axis (1, -1).

(x, y - 5) reflected across the x-axis is equivalent to (x, -y + 5)

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3 years ago
A survey was conducted at a local restaurant about the type of seating preferred by males and females. The results of the survey
Lubov Fominskaja [6]

Answer:

c: 70

Step-by-step explanation:

6 0
3 years ago
I need help with this asap
ddd [48]

Answer:

SAS

Step-by-step explanation:

Becaus it is rectangle when we see it at the diagonal

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