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Step2247 [10]
3 years ago
14

Work must be shown for this problem. Solve for x. Round answers to the nearest hundredth (2 decimal places).

Mathematics
1 answer:
mario62 [17]3 years ago
7 0

Answer:

Around 16.73 feet

Step-by-step explanation:

The sine of an angle is the length of the opposite side divided by the length of the hypotenuse. Therefore:

\sin 42 = \dfrac{x}{25} \\\\x=25\cdot \sin 42\approx 16.73

Hope this helps!

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What is the median of the following numbers: 120, 35, 42, 119, 120.5, 99, 72 ? *
Roman55 [17]

Answer:

the median is 99

Step-by-step explanation:

(lowest) 35, 42, 72, <u>99</u>, 119, 120, 120.5 (highest)

the median is the middle #

the middle # is 99

6 0
3 years ago
The sum of the angle measures of any triangle is 180 degrees. suppose that one angle in a triangle has a degree measure of −3x5
salantis [7]
If we let m₁, m₂, and m₃ be the measures of the angles of the triangle, the equation that would relate them to each other is,

     m₁ + m₂ + m₃ = 180

Given the measures of the first two angles, the measure of the third angle is calculated through the equation,

    m₃ = 180 - (m₁ + m₂)

Substituting the known expressions,

    m₃ = 180 - (-3x⁵ + 2x²)

Simplifying,

<em>    m₃ = 180 + 3x⁵ - 2x²</em>
7 0
3 years ago
Solve the inequality 5(2x + 1) &lt; 10.<br> х&lt; 1/2<br> x&gt; 1/2<br> х&lt; 3/2<br> x&gt; 3/2
Maurinko [17]

Answer:

x < 1/2

Step-by-step explanation:

5(2x + 1) < 10

Divide each side by 5

5/5(2x + 1) < 10/5

2x+1 < 2

Subtract 1 from each side

2x+1-1 < 2-1

2x <1

Divide each side by 2

2x/2 <1/2

x < 1/2

4 0
3 years ago
Read 2 more answers
a company borrowed 25,000 and was charges 3.5% and was charged 2,625 in interet...how long was it before the company repaid the
Sladkaya [172]
We'll have to assume that interest is charged annually.

interest = i = p*r*t, where p is the initial amount ($25000), r is the annual interest rate as a decimal fraction, and t is the length of time, in years.

Then  $2625 = $25000*0.035*t.  Solve for t:

$2625
------------ = 0.035t   =  0.105.  Dividing both sides by 0.035, we get
$25000

t = 3 years (answer)
7 0
3 years ago
A cylinder has a radius of 10 M and a height of 8 AM what is the exact volume of the cylinder
natita [175]

\bf \textit{volume of a right-circular cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=10\\ h=8 \end{cases}\implies V=\pi (10)^2(8)\implies V=800\pi \\\\[-0.35em] ~\dotfill\\\\ ~\hfill V\approx 2513.27~\hfill

7 0
3 years ago
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