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3 years ago

Solve each equation. |n+3|+8=15

Mathematics

2 answers:

DochEvi [55]3 years ago

5 0

Answer:

n=4

Step-by-step explanation:

First you subtract 8 from 15 which gives you 7 so it is n+3=7. then you subtract 3 from 7 which gives you 4.

Naddik [55]3 years ago

5 0

Answer:

n = 4 and n = -10

Explanation:

l n + 3 l + 8 = 15

l n + 3 l = 7

Two solutions

n + 3 = 7

n = 4

and

n + 3 = -7 (since we are dealing with absolute numbers, one side has to be multiplied by -1)

n = -10

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3 years ago

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Answer: D

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3 years ago

If YV = 28 in, find the length of the major arc VYX. Round to the nearest tenth ( one decimal place).

denpristay [2]

Answer:

$VYX=84.3in$

Step-by-step explanation:

Given

$YV = 28in$

$\angle WZX = 15^\circ$

See attachment

Required

Determine the length of $VYX$

First, calculate the major angle VZX

$\theta = \angle VZX = 360 - \angle WZX$

$\theta = \angle VZX = 360 - 15$

$\theta = \angle VZX = 345$

$\theta = 345$

The length of arc VYX, is:

$L=\frac{\theta}{360} * 2\pi r$

Where

$r = \frac{1}{2} * Diameter$

$r = \frac{1}{2} * YV$

$r = \frac{1}{2} * 28$

$r = 14$

So:

$L=\frac{\theta}{360} * 2\pi r$

$L=\frac{345}{360} * 2 * \frac{22}{7} *14$

$L=\frac{345}{360} * 2 * 22 *2$

$L=\frac{345* 2 * 22 *2}{360}$

$L=\frac{30360}{360}$

$L=84.3in$

Hence, the length of VYX is:

$VYX=84.3in$

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3 years ago

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