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3 years ago

Solve for x, round to the nearest tenth. find x x =

Mathematics

2 answers:

Sati [7]3 years ago

5 0

Answer:

x = 64.2°

Step-by-step explanation:

tan x° = 29/14

14 · tan x° = 29

tan x° = 29/14

arctan(x) = 64.2°

Illusion [34]3 years ago

3 0

Answer:

64.2

Step-by-step explanation:

Use tan to find the measure of x.

tan = 0pposite/adjacent

opposite = 29

adjacent = 14

so:

$tan(x)=29/14\\x = tan^{-1} (29/14)\\x = 64.2$

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a fishbowl shaped like a sphere is filled with water. The fishbowl has a diameter of 16 inches. Which measurement is closest to

gregori [183]

Answer:

The volume of the water in the fishbowl is equal to

$(682\frac{2}{3})\pi\ in^{3}$ or $2,144.6\ in^{3}$

Step-by-step explanation:

we know that

The volume of the sphere (a fishbowl) is equal to

$V=\frac{4}{3}\pi r^{3}$

In this problem we have

$r=16/2=8\ in$ ----> the radius is half the diameter

substitute

$V=\frac{4}{3}\pi (8^{3})=\frac{2,048}{3}\pi\ in^{3}$

convert to mixed number

$\frac{2,048}{3}\pi\ in^{3}=\pi (\frac{2,046}{3}+\frac{2}{3})=(682\frac{2}{3})\pi\ in^{3}$

$(3.14156)*(682\frac{2}{3})=2,144.6\ in^{3}$

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4 years ago

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nikklg [1K]

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4 years ago

X^2-3x-18 in simplest form

Kay [80]

$= x ^{2} - 3x - 18 \\ =x ^{2} - (6 - 3)x - 18 \\ = x ^{2} - 6x + 3x - 18 \\ = x(x - 6) + 3(x - 6) \\ = (x - 6)(x + 3)$

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3 years ago

Points A, B, and C are collinear. Point B is between A and C. Find the length indicated. AB= 5x-15, BC=3x-5, and AC=28. Find AB

katrin2010 [14]

Answer: AB is 15

Step-by-step explanation: First, you need to draw a picture and label the parts of the line: AB=5x-15; BC= 3x-5; AC =28. Because of the segment addition postulate, you set the equation to be 5x-15+3x-5=28. Then you solve:

5x-15+3x-5=28

Add like terms:

8x-20=28

Add 20 to both sides

8x=48

Divide by 8

x=6

Now, you need to find the measure of AB, so you plug the 6 into the x variable for 5x-15

5(6)-15

30-15

AB=15

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3 years ago