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SVEN [57.7K]
3 years ago
5

The value of y varies directly as the square of x and y=36 when x=3. What is y when x=4?

Mathematics
1 answer:
MissTica3 years ago
6 0

Answer: y = 64

Step-by-step explanation:

y <> x² ----------------------- 1

y = kx² ----------------------- 2

36 = 3²k

36 = 9k

K = 36/9

= 4.

To find y when x = 4, we substitute for x in equation 2

y = kx²

y = 4²k

y = 16 x 4

y = 64

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\sf\huge\underline{\star Solution:-}

\rightarrow <u>Ratio of two angles are 6:13.</u>

So, let the one angle be \sf{6x} and another be \sf{13x.}

As we know that,

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So let's sum up the given angles,

\rightarrow \sf{222°+81°+6x+13x \:=\:  360°}

\rightarrow \sf{303+19x \:=\:  360°}

\rightarrow \sf{19x \:=\:  360-303}

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\rightarrow \sf{x \:=\:  \frac{19}{57}}

\rightarrow \sf{x \:=\:  3}

Hence, \sf{x \:=\:  3}

So, First angle \sf{= \:6x\: = \:6×3 \:=} \sf\purple{18°.}

Second angle \sf{= \:13x\: = \:13×3 \:=} \sf\purple{39°.}

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Hope it helps you:)

3 0
2 years ago
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