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Reil [10]
3 years ago
14

Find the value of X.

Mathematics
1 answer:
ch4aika [34]3 years ago
6 0

Answer:

x= 60

Step-by-step explanation:

if y is the other missing side

y^2 = 64^2 + 48^2

y^2 = 4,096 + 2,304

y^2 = 6,400

100^2 = x^2 +y^2

x^2 = 10,000 - 6,400

x^2 = 3,600

x = 60

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kumpel [21]
Area is Length x Width

Perimeter is 2L +2W
7 0
3 years ago
If cos(x) = Three-fourths and tan(x) < 0, what is cos(2x)?
makvit [3.9K]

Step-by-step explanation:

The value of sin(2x) is \sin(2x) = - \frac{\sqrt{15}}{8}sin(2x)=−

8

15

How to determine the value of sin(2x)

The cosine ratio is given as:

\cos(x) = -\frac 14cos(x)=−

4

1

Calculate sine(x) using the following identity equation

\sin^2(x) + \cos^2(x) = 1sin

2

(x)+cos

2

(x)=1

So we have:

\sin^2(x) + (1/4)^2 = 1sin

2

(x)+(1/4)

2

=1

\sin^2(x) + 1/16= 1sin

2

(x)+1/16=1

Subtract 1/16 from both sides

\sin^2(x) = 15/16sin

2

(x)=15/16

Take the square root of both sides

\sin(x) = \pm \sqrt{15/16

Given that

tan(x) < 0

It means that:

sin(x) < 0

So, we have:

\sin(x) = -\sqrt{15/16

Simplify

\sin(x) = \sqrt{15}/4sin(x)=

15

/4

sin(2x) is then calculated as:

\sin(2x) = 2\sin(x)\cos(x)sin(2x)=2sin(x)cos(x)

So, we have:

\sin(2x) = -2 * \frac{\sqrt{15}}{4} * \frac 14sin(2x)=−2∗

4

15

∗

4

1

This gives

\sin(2x) = - \frac{\sqrt{15}}{8}sin(2x)=−

8

15

6 0
2 years ago
Read 2 more answers
3x-18 &gt;3 <br> need to solve for X
KATRIN_1 [288]

Answer:

x > 7

Step-by-step explanation:

3x-18 > 3

+18 3x-18 > 3 +18

3x > 21

x > 7

5 0
2 years ago
Read 2 more answers
How do I complete this question on arc length?
tresset_1 [31]

Answer:

v ≈ 8.5 km/h

Step-by-step explanation:

Since the diameter of the wheel is 3 m the radius will be r = 1.5 m.

Use the radius of the water wheel to find it's circumference C:

C=2\pi r                                               [set r = 1.5 m]

⇒ C=2\pi (1.5)

⇒ C=3\pi m

One revolution of the water wheel corresponds to 3\pi meters so the angular velocity 15 rmp (revolutions per minute) corresponds to:

15(3\pi ) = 45\pi m/min

Using this result, the speed of the river in kilometers per hour will be:

v=\frac{45\pi m }{1 min} ×  \frac{1 km}{1000 m} × \frac{60 min}{1 h}

⇒ v=8.48230016469  km/h

⇒ v ≈ 8.5 km/h

5 0
2 years ago
Read 2 more answers
4. If you have 15 pens which cost $0.79
katrin [286]

Answer:

The answer is 15.62

Step-by-step explanation:

To get the answer, you would first multiply 15*0.79 to get 11.85

Then you would multiply 13*0.29 to get 3.77

Lastly, add 11.85 and 3.77 to get your final answer of $15.62

3 0
2 years ago
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