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dolphi86 [110]
3 years ago
14

If z varies inversely as w, and z= 3 when w=4, find z when w=2. Z=

Mathematics
1 answer:
vivado [14]3 years ago
8 0

Answer:

6

Step-by-step explanation:

Inverse proportion.

z = k/w

z = 3, w = 4

Solve for k constant.

3 = k/4

(4)3 = (4)k/4

12=k

The value of k constant is 12.

z = k/w

Put w as 2 and k as 12 and solve for z.

z = 12/2

z = 6

The value of z when w equals 2 is 6.

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In ΔWXY, x = 680 inches, w = 900 inches and ∠W=157°. Find all possible values of ∠X, to the nearest degree.
ikadub [295]

Given:

In ΔWXY, x = 680 inches, w = 900 inches and ∠W=157°.

To find:

The all possible values of ∠X, to the nearest degree.

Solution:

Law of Sines:

\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}

For ΔWXY,

\dfrac{w}{\sin W}=\dfrac{x}{\sin X}=\dfrac{y}{\sin Y}

Now,

\dfrac{w}{\sin W}=\dfrac{x}{\sin X}

\dfrac{900}{\sin (157^\circ)}=\dfrac{680}{\sin X}

900\sin X=680\sin (157^\circ)

\sin X=\dfrac{680}{900}\sin (157^\circ)

\sin X=0.295219

X=\sin^{-1}(0.295219)

X=17.17067

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Therefore, the value of ∠X is 17 degrees.

5 0
3 years ago
Find X. Round to the nearest tenth if necessary.
storchak [24]

Answer:

3.2

Step-by-step explanation:

If there are 2 secont lines intersecting inside a circle like the picture shown, then the theorem tells us that <em>"the product of 2 segments of one secant line is equal to the product of 2 segments of other secant line"</em>

<em></em>

Thus, we can say that:

x * 10 = 8 * 4

10x = 32

x = 32/10

x = 3.2

3 0
3 years ago
Select the correct answer.
Umnica [9.8K]
I believe this would be a contingent discount. Contingent discounts are granted to a buyer when they satisfy certain requirements. In this case, the requirement is to have a minimum purchase of $500. Thus, that would make it a contingent discount.
The other's are incorrect.
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A straight discount is basically present value of future cash flow without compounding. (Business Dictionary Definition)
A bulk purchase discount is a financial incentive for regular shoppers or businesses that buy things in bulk.
8 0
3 years ago
Read 2 more answers
Point a is located at -6/8 and point B is located at -1/8 what is the distance between points A and B
Ahat [919]
The distance between points A and B
(-1/8)-(-6/8) = 5/8

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3 years ago
Three times a number plus 12 minus 5 times the same number is 22. What is the number?
sp2606 [1]
The number is 15
hope this helps

5 0
3 years ago
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