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3 years ago

The sum of a number and its reciprocal is equal to 4 times the reciprocal. Find the number.

Mathematics

1 answer:

shepuryov [24]3 years ago

7 0

X + (1/x) = 4*(1/x)
(x^2 +1)/x = 4/x
x^2+1=4
x^2 = 3

x= 3^(1/2)

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mestny [16]

Answer:

$1290 = \frac{h}{10} + \frac{h}{5} \\ 12900 = h + 2h \\ 3h = 12900 \\ h = 4300$

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3 years ago

Find the length of side s to the nearest tenth.

bulgar [2K]

Answer:

10.3

Step-by-step explanation:

The triangle can be solved from one side and two angles by using the angle sum theorem to find the third angle, then using the Law of Sines to find the remaining sides.

The angle at T is ...

180° - 119° -36° = 25°

The law of sines tells us side s will be ...

s/sin(S) = t/sin(T)

s = sin(119°)×5/sin(25°) . . . . multiply by sin(S)

s ≈ 10.34763

s ≈ 10.3

<em>Additional comment</em>

u/sinU = t/sin(T)

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5 0

2 years ago

How do you do this math??

Elis [28]

Answer:

9.6

Step-by-step explanation:

10 = 8

12 = x

then simply solve for x

3 0

3 years ago

A box contains 5 plain pencils and 3 pens. A second box contains 4 color pencils and 4 crayons. One item from each box is chosen

LekaFEV [45]

Answer:

3/16

Step-by-step explanation:

3/8 * 4/8= 3/16

3/8= 3 pens out of 8 items

4/8= 4 crayons out of 8 items

7 0

4 years ago

Trigonometry

Alla [95]

90° is equal to $\frac{\pi}{2}$ or 1.5707 radians.

Step-by-step explanation:

Step 1:

If an angle is represented in degrees, it will be of the form x°.

If an angle is represented in radians, it will be of the form $\frac{\pi}{x}$ radians.

To convert degrees to radians, we multiply the degree measure by $\frac{\pi}{180}$ .

For the conversion of degrees to radians,

the degrees in radians = (given value in degrees)( $\frac{\pi}{180}$ ).

Step 2:

To convert 90°,

$90 (\frac{\pi}{180} ) = \frac{\pi}{2}.$

$0.5 \pi = 1.5707$ radians.

So 90° is equal to $\frac{\pi}{2}$ or 1.5707 radians.

3 0

4 years ago