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3 years ago

Find x to the nearest hundredth.

Mathematics

2 answers:

Karolina [17]3 years ago

5 0

Answer:

23.78

Step-by-step explanation:

CAH

x/25

cos18=x/25

25cos18=x

x=23.78

a_sh-v [17]3 years ago

5 0

Answer:

23.78 cm

Step-by-step explanation:

Since, We know that,

In a right angle triangle,

$cos \theta=\frac{B}{H}$

Where, B represents base adjacent to $\theta$

H represents the hypotenuse adjacent to $\theta$

Thus, by the given diagram,

$cos 18^{\circ}=\frac{x}{25}$

$\implies x = 25\times cos 18^{\circ}=23.7764129074\approx 23.78\text{ cm}$

Hence, Last option is correct.

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marissa [1.9K]

The answer is 188 altogether

5 0

3 years ago

Read 2 more answers

The average estimated hours a person in the United States spent playing video games per year from 2002 to 2012 were 71, 80, 82,

ozzi

Answer:

Population variance 579

Population standard deviation 24

Step-by-step explanation:

The average estimated hours a person in the United States spent playing video games per year from 2002 to 2012 were 71, 80, 82, 78, 80, 91, 107, 121, 125, 131, and 142.

The population variance is given by:

$\sigma^2=\frac{\sum(x-\mu)^2}{n}$

$\mu=\frac{71+80+82+78+80+91+107+121+125+131+142}{11}$

$\mu=\frac{1108}{11}$

This implies that:

$\sigma^2=\frac{(71-\frac{1108}{11})^2+(80-\frac{1108}{11})^2+(82-\frac{1108}{11})^2+(78-\frac{1108}{11})^2+(80-\frac{1108}{11})^2+...+(142-\frac{1108}{11})^2}{11}$

$\sigma^2=\frac{70006}{121} =579$ to the nearest whole number

The population standard deviation is

$\sigma=\frac{\sqrt{70006} }{11}=24$ to the nearest whole number.

3 0

3 years ago

Read 2 more answers

Need help on this <br> This is on angles and triangles

choli [55]

Answer:

a) 4x + 76 = 180 (x = 26)

- m<1 = 102

- m<2 = 78

Step-by-step explanation:

First we know 4x + 76 = 180. The reason for that is we know angle one plus angle two = 180 so 3x + 1x + 76 has to equal 180.

We can solve for x now.

4x + 76 = 180.

Subtract 76 to maintain equality on both sides.

4x = 104.

x = 26

Now we can get the angles.

For angle #1 let's substitute x as 26.

angle one = 26 + 76.

angle one = 102

For angle #2 let's substitute x as 26.

angle two = 3(26)

angle two = 78

Let's check!

78 + 102 = 180.

180 = 180 YES

Well, this took some time :)

8 0

3 years ago

Set B is a subset of set A.

ASHA 777 [7]

Answer:

False

Step-by-step explanation:

B is not subset of A because all the elements of B are not in A.

7 0

3 years ago

The sum of the measures of two complimentary angles is 90. Find the measure of the angle labeled x

Andre45 [30]

I hope this helps you x+90=180 x=90

6 0

3 years ago