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Gnom [1K]
3 years ago
14

Find the value of x. Round the length to the nearest tenth.

Mathematics
2 answers:
krek1111 [17]3 years ago
8 0

Answer:

<em>Answer is option</em><em> </em><em>d</em><em>)</em><em>7</em><em>.</em><em>9</em>

Step-by-step explanation:

by \: trignometric \: rule \\ we \: know \:   \cos(theta)  =  \frac{adjacent \: side}{hypotenuse}  \\ here \: theta = 44 \: degrees \:  \:  \\ hypotenuse = 11 \: ft \: and \:  \:  \: adjacent \:  = x \\ on \: substituting \: the \: values \: in \: formula \\  \cos(44)  =  \frac{x}{11}  \\ x = 11 \times  \cos(44)  \\ x = 11 \times 0.7193 \\ x = 7.91 \\ then \: adjacent \: value \: (x) = 7.9 \: ft \\

For the value of cos(44) you may use your calculator or log book.

<em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>. </em>

larisa [96]3 years ago
3 0

Answer:

x = 7.9

Step-by-step explanation:

Given:  

Angle - 44

Hypotenuse - 11 ft

adjacent side - x

having adjacent and hypotenuse use Cosine to solve the problem from

S-oh C-ah T-oa

cos (angle) = adjacent / hypotenuse

**Make sure your calculator is in degree mode**

cos 44 = x/11

if you cross multiply, you get

11 cos 44 = x

or to solve for x you would multiply both sides by 11 and get

11 cos 44 = x

x = 7.9

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c. 40°

Step-by-step explanation:

The information given has been illustrated in the figure drawn in the attachment below.

m<BAD = 50° (angle bisector theorem)

m<ADB = 90° (perpendicular bisector)

m<ABD = 180 - (m<BAD + m<ADB) (sum of angles in a triangle)

m<ABD = 180° - (90° + 50°)

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4 0
3 years ago
The level of nitrogen oxides (NOX) in the exhaust after 50,000 miles or fewer of driving of cars of a particular model varies No
Greeley [361]

Answer:

For a level of 0.0174 or more of nitrogen oxide, the probability of fleet is 0.01.              

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 0.02 g/mi

Standard Deviation, σ = 0.01 g/mi

Sample size, n = 81

We are given that the distribution of  level of nitrogen oxides is a bell shaped distribution that is a normal distribution.

Standard error due to sampling:

=\dfrac{\sigma}{\sqrt{n}} = \dfrac{0.01}{\sqrt{81}} = 0.0011

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.01

P(X > x)  

P( X > x) = P( z > \displaystyle\frac{x - 0.02}{0.0011})=0.01  

= 1 -P( z \leq \displaystyle\frac{x - 0.02}{0.0011})=0.01  

=P( z \leq \displaystyle\frac{x - 0.02}{0.0011})=0.99  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 0.02}{0.0011} = -2.326\\\\x = 0.0174

For a level of 0.0174 or more of nitrogen oxide, the probability of fleet is 0.01.

5 0
3 years ago
Help? -Factoring polynomials
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Answer:

False

Step-by-step explanation:

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8 0
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(Reciprocal Identity)

(\frac{^{\sqrt{2}\\cos  x-1}}{^{\sqrt{2}}})(\frac{1-\cos x}{\cos x})=0

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(\sqrt{2}\cos x-1}){(1-\cos x)}=0 (ZeroProduct Property)

\sqrt{2}\cos x-1=0

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x=\frac{\Pi }{4}

and

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6 0
4 years ago
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