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amm1812
3 years ago
9

Rin spends $20 every week on drum lessons.

Mathematics
1 answer:
mihalych1998 [28]3 years ago
4 0

Answer:

A, B, D and F.

Step-by-step explanation:

Rin spends $20 every week on drum lessons.

If:

d = total amount of dollars Rin spends

w = number of weeks

Then: d=20w

w is the independent variable while d is the dependent variable. A change in w will lead to a change in d. Therefore:

(A)The independent variable causes a change in the  dependent variable.

(B)The equation is d = 20w.

From the equation: d=20w

When w=1, d=$20

When w=2, d=$40

When w=3, d=$60

When w=4, d=$80

This tallys with the values in Option  F.

Therefore:

(D)As the number of weeks increases, the total dollars  Rin spends increases.

The correct options are: A, B, D and F.

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what is the value of x in the diagram below? if necessary round your answer to the nearest tenth of a until
VladimirAG [237]

Answer:

C

Step-by-step explanation:

Calculate AC using Pythagoras' identity in ΔABC

AC² = 20² - 12² = 400 - 144 = 256, hence

AC = \sqrt{256} = 16

Now find AD² from ΔACD and ΔABD

ΔACD → AD² = 16² - (20 - x)² = 256 - 400 + 40x - x²

ΔABD → AD² = 12² - x² = 144 - x²

Equate both equations for AD², hence

256 - 400 + 40x - x² = 144 - x²

-144 + 40x - x² = 144 - x² ( add x² to both sides )

- 144 + 40x = 144 ( add 144 to both sides )

40x = 288 ( divide both sides by 40 )

x = 7.2 → C



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