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TiliK225 [7]
3 years ago
8

Common factors of 18w and 30wz

Mathematics
2 answers:
slavikrds [6]3 years ago
7 0
The factors of 18 are:
1, 2, 3, 6, 9, 18

The factors of 30 are:
1, 2, 3, 5, 6, 10, 15, 30

<span>The common factors are:
1, 2, 3, 6</span>
Lana71 [14]3 years ago
3 0
18w and 30wz
The common factor 6w
6w(3+5z)
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General solutions of sin(x-90)+cos(x+270)=-1<br> {both 90 and 270 are in degrees}
mixer [17]

Answer:

\left[\begin{array}{l}x=2\pi k,\ \ k\in Z\\ \\x=-\dfrac{\pi }{2}+2\pi k,\ k\in Z\end{array}\right.

Step-by-step explanation:

Given:

\sin (x-90^{\circ})+\cos(x+270^{\circ})=-1

First, note that

\sin (x-90^{\circ})=-\cos x\\ \\\cos(x+270^{\circ})=\sin x

So, the equation is

-\cos x+\sin x= -1

Multiply this equation by \frac{\sqrt{2}}{2}:

-\dfrac{\sqrt{2}}{2}\cos x+\dfrac{\sqrt{2}}{2}\sin x= -\dfrac{\sqrt{2}}{2}\\ \\\dfrac{\sqrt{2}}{2}\cos x-\dfrac{\sqrt{2}}{2}\sin x=\dfrac{\sqrt{2}}{2}\\ \\\cos 45^{\circ}\cos x-\sin 45^{\circ}\sin x=\dfrac{\sqrt{2}}{2}\\ \\\cos (x+45^{\circ})=\dfrac{\sqrt{2}}{2}

The general solution is

x+45^{\circ}=\pm \arccos \left(\dfrac{\sqrt{2}}{2}\right)+2\pi k,\ \ k\in Z\\ \\x+\dfrac{\pi }{4}=\pm \dfrac{\pi }{4}+2\pi k,\ \ k\in Z\\ \\x=-\dfrac{\pi }{4}\pm \dfrac{\pi }{4}+2\pi k,\ \ k\in Z\\ \\\left[\begin{array}{l}x=2\pi k,\ \ k\in Z\\ \\x=-\dfrac{\pi }{2}+2\pi k,\ k\in Z\end{array}\right.

4 0
3 years ago
A 1/32 scale model of a truck is 3.25 inches long. How long (in feet) is the actual truck? (Round to the nearest tenth.)
Anna [14]

Answer:

104

Step-by-step explanation:

3.25 × 32 is 104

7 0
3 years ago
What is the rule for reflecting over the y axis
vlabodo [156]

Answer:

A reflection of a point over the y -axis is shown. The rule for a reflection over the y -axis is (x,y)→(−x,y) .

Step-by-step explanation:

5 0
3 years ago
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what is -2/3 times -12. This questions is related to converting slope point form into slope intercept form.
Gennadij [26K]

Answer:

-2/3 times  -12=8

Step-by-step explanation:

5 0
3 years ago
Equation for this word problem:
vfiekz [6]

Answer:

Connor is 15, so we multiply Connor's age by 3, because that's how old Sadie is, but -5.

So our answer comes out to 40.

Sadie is 40 years old.

Glad i could help, have a nice day <3

5 0
3 years ago
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