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3 years ago

What is the answer too n+ 2 = -14-n ?

Mathematics

1 answer:

Irina18 [472]3 years ago

7 0

Answer:

n = -8

Step-by-step explanation:

n + 2 = -14 - n

+n + n Add n to both sides

2n + 2 = -14

- 2 - 2 Subtract 2 from both sides

2n = -16 Divide both sides by 2

n = -8

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Segment addition with variables

oksian1 [2.3K]

<em>x equals 22</em>

<h2>Explanation:</h2>

____________________________________________

The Segment Postulate states the following:

<em>Given two end points A and B, a third point C lines on the segment AB if and only if the distances between the points satisfy the equation:</em>

$\overline{AB}=\overline{AC}+\overline{CB}$

____________________________________________

From the figure:

$\overline{AC}=8+x \\ \\ \overline{CB}=10 \\ \\ \overline{AB}=40$

Our goal is to find x:

$\overline{AB}=\overline{AC}+\overline{CB} \\ \\ Substituting \ values: \\ \\ 40=(8+x)+10 \\ \\ 18+x=40 \\ \\ Subtracting \ 18 \ from \ both \ sides: \\ \\ 18-18+x=40-18 \\ \\ \boxed{x=22}$

<h2>Learn more:</h2>

Dilation: brainly.com/question/2501119

#LearnWithBrainly

4 0

2 years ago

If sec theta = - √30 / 3, find cos theta.<br> if sin(-theta) = -0.97, find cos (π/2 - theta).

Cloud [144]

Step-by-step explanation:

$\cos \theta = \frac{1}{ \sec\theta } = - \frac{3}{ \sqrt{30} } = - \frac{3 \sqrt{30} }{30} = - \frac{ \sqrt{30} }{10}$

$\cos( \frac{\pi}{2} - \theta )= \cos \frac{\pi}{2} \cos \theta + \sin \frac{\pi}{2} \sin \theta$

Note that

$\sin( - \theta) = - \sin \theta$

$\cos \frac{\pi}{2} = 0 \: \: \: \: \: \sin \frac{\pi}{2} = 1$

Therefore,

$\cos( \frac{\pi}{2} - \theta ) = 0.97$

5 0

3 years ago

Harry worked 7 hours last week this is one third as many hours as Aiden work how many hours did Aiden work

Eduardwww [97]

21 hrs. Because if Harry worked one third the hrs thats Aiden worked then 7×3 =21 and 21÷3=7. So 7 is one third of 21.

6 0

3 years ago

What is the measure of Arc BA? An explanation would be much appreciated.

yKpoI14uk [10]

Answer:

m<BA = 180degrees

Step-by-step explanation:

First you must know that measure of <BA is 180 degrees and m<CD = m<BA

Since <CD = 16z - 12, hence;

180 = 16z - 12

16z = 180++12

16z = 192

z = 192/16

z = 12

Get <BA

m<BA = 16z - 12

m<BA = 16(12) - 12

m<BA = 192 - 12

m<BA = 180degrees

8 0

3 years ago

Find the volume of the solid where the cone and half sphere are hollow. Use 3.14 for П ; height is 19 in; radius is 5 in. Round

Vera_Pavlovna [14]

Volume of Solids

The volume of the solid is 758.83 in³

Step-by-step explanation:

Given that the cone and half sphere is hollow

The volume of the cone = $1/3 \pi r^{2} h\\$

The Volume of the sphere = $4/3 \pi r^{3}$

So the Volume of the half sphere = $2/3\pi r^{3}$

The volume of solid = volume of cone + volume of the half sphere

$V = V_{1} + V_{2}$

Given

height h = 19 in

radius r = 5 in

$V_{1\\}$ = $1/3 \pi r^{2} h$

= 1/3 × 3.14 × 5 × 5 × 19

= 497.16 in³

$V_{2} = 2/3 \pi r^{3}$

= 2/3 × 3.14 × 5 × 5 × 5

= 261.67 in³

V = 497.16 in³ + 261.67 in³

= 758.83 in³

Hence the volume of the solid is 758.83 in³

3 0

3 years ago