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Rom4ik [11]
3 years ago
11

Find the value of x. Round your answer to the nearest tenth.

Mathematics
1 answer:
Crazy boy [7]3 years ago
7 0
<h2>The value of x "option A) 12.5" is required answer.</h2>

Step-by-step explanation:

In given figure,

Base (b) = 11 and Angle = 28°

To find, the value of x = ?

We know that,

\cos A=\dfrac{b}{h}

Where, h is the hypotaneous = x

⇒ \cos 28=\dfrac{11}{x}

⇒ x=\dfrac{11}{\cos 28}

The value of \cos 28 = 0.8829

⇒ x = \dfrac{11}{0.8829}

⇒ x = 12.458

⇒ x ≈ 12.5

∴ The value of x ≈ 12.5

Thus, the value of x "option A) 12.5" is required answer.

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Item 5<br> Write 77.5% as a fraction or mixed number in simplest form.
jeyben [28]

<span>77.5% can also be written as 77.5/100, but if you're the mathematical notation police, people don't like decimals on a fraction, sooo, an equivalent form is: </span>

<span>
 = (77.5)/(100) * (2/2)
= 155/200
= 31/40
= 0 31/40 </span>

5 0
3 years ago
sarah worked out for 15 today. she plans to add 5 min per week. write qnd equation to represent how many minutes she will be wor
garik1379 [7]

Answer:

I think its 15 + 5x

Step-by-step explanation:

4 0
3 years ago
Let f(x) = -2x - 7 and g(x) = -4x + 6. Find (fxg)(-5).<br><br> a. -59<br> b. 3<br> c. 26<br> d. -6
DedPeter [7]

Answer:

78

Step-by-step explanation:

The given functions are:

f(x) =  - 2x - 7

and

g(x) =  - 4x + 6

(f \times g)(x) = f(x) \times g(x)

(f \times g)(x) = ( - 2x - 7)( - 4x + 6)

When we plug in x=-5, we get:

(f \times g)( - 5) = ( - 4 \times -  5 + 6)( - 2 \times  - 5 - 7)

(f \times g)( - 5) = ( 20 + 6)( 10 - 7)

(f \times g)(5) = ( 26)( 3) =7 8

3 0
3 years ago
Mai drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 8 hours. When Mai drove hom
Vesna [10]

Answer:

Mai lives 384 miles away from the mountains

Step-by-step explanation:

Let d represent distance between Mai's house and mountains and r represent Mai's rate while going to mountains.

We have been given that there was heavy traffic on the way there, and the trip to mountains took 8 hours.

\text{Distance}}=\text{Time}\times \text{Speed}

d=8r...(1)

We are also told that when Mai drove home, there was no traffic and the trip only took 6 hours. Her average rate was 16 miles per hour faster on the trip home.

d=6(r+16)...(2)

Upon equating equation (1) and equation (2), we will get:

8r=6(r+16)

8r=6r+96

8r-6r=6r-6r+96

2r=96

\frac{2r}{2}=\frac{96}{2}

r=48

Upon substituting r=48 in equation (1), we will get:

d=8r\Rightarrow 8(48)=384

Therefore, Mai lives 384 miles away from the mountains.

8 0
3 years ago
Solve for x: |x − 2| + 10 = 12 (1 point)
Mrrafil [7]

Answer::

A. x= 0 and x= 4

8 0
3 years ago
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