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3 years ago

It is known that y^24 − 256 = 0. Rewrite this equation in terms of x if x = y^4.

Mathematics

2 answers:

vladimir2022 [97]3 years ago

6 0

Answer and step-by-step explanation:

> y²⁴- 256 = 0
> (y⁴)
x ${}^{6}$ -256 = 0

x ${}^{6}$ = 256

qaws [65]3 years ago

5 0

Answer:

> y²⁴- 256 = 0

> (y⁴)

x{}^{6}6 -256 = 0

x{}^{6}6 = 256

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A communications tower is supported by two wires, connected at the same point on the ground. One is attached to the tower at D a

viktelen [127]

Answer:

10.99 m

Step-by-step explanation:

✍️What we are basically asked to solve here is to find the distance between C and D.

To find CD, find the length of BC, and BD. Their difference will give us CD.

Thus, BC - BD = CD.

✍️Finding BC using trigonometric ratio formula:

$\theta = 30 + 10 = 40$

Opposite side = BC = ??

Adjacent side = 42 m

Thus:

$tan(\theta) = \frac{opposite}{adjacent}$

Plug in the values

$tan(40) = \frac{BC}{42}$

Multiply both sides by 42

$tan(40) \times 42 = \frac{BC}{42} \times 42$

$35.24 = BC$

BC = 35.24 m

✍️Finding BD using trigonometric ratio formula:

$\theta = 30$

Opposite side = BD = ??

Adjacent side = 42 m

Thus:

$tan(\theta) = \frac{opposite}{adjacent}$

Plug in the values

$tan(30) = \frac{BD}{42}$

Multiply both sides by 42

$tan(30) \times 42 = \frac{BD}{42} \times 42$

$24.25 = BD$

BD = 24.25 m

✍️How much below the top of the tower is the shorter one attached:

Thus,

BC - BD = CD

35.24 m - 24.25 m = 10.99 m

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3 years ago

Jason is 4.52 feet tall. His sister is 0.75 times his height. How tall is his sister?

worty [1.4K]

7.91 feet tall.

4.52 x 0.75= 3.39
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Step-by-step explanation:

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3 years ago

It is known that y^24 − 256 = 0. Rewrite this equation in terms of x if x = y^4.​

It is known that y^24 − 256 = 0. Rewrite this equation in terms of x if x = y^4.