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Alecsey [184]
3 years ago
7

Someone please help! find x round to the nearest tenth! trigonometry!​

Mathematics
1 answer:
TEA [102]3 years ago
5 0

Answer:

<h2>x = 745.5 ft</h2>

Step-by-step explanation:

Look at the picture.

Use sine:

sine=\dfrac{opposite}{hypotenuse}

We have a measure of the angle and length of the opposite:

\alpha=28^o,\ opposite=350\ ft

\sin28^o\approx0.4695

Substitute:

\dfrac{350}{x}=0.4695

\dfrac{350}{x}=\dfrac{4695}{10000}            <em>cross multiply</em>

4695x=3500000           <em>divide both sides by 4695</em>

x=\dfrac{3500000}{4695}\to x\approx745.5

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Which of the following equations have exactly one solution?
Sonja [21]

Answer:

B.

Step-by-step explanation:

Because if you subtract 19x and 18 from each side it wont be 0=0, in other equatins there is infinity solutions

7 0
3 years ago
Jace invested $65,000 in an account paying an interest rate of 2.5% compounded continuously. Assuming no deposits or withdrawals
Tomtit [17]

Answer:

15 years

Step-by-step explanation:

93400=65000*e^(.025x)

x=14.5 which rounds to 15

7 0
3 years ago
This is used for the next few questions: The rating for the new scary movie has a scale of 0 to 10. The average response was tha
Pie

Answer:

The percentage that of people who gave the movie a rating between 6.8 and 8.8

<em>P(6.8≤X≤8.8)  = 83.9≅ 84 percentage</em>

Step-by-step explanation:

<u> Step(i):-</u>

Mean of the Population = 8.3 points

Standard deviation of the Population = 0.5 points

Let 'X' be the random variable in normal distribution

<em>Let X = 6.8</em>

Z = \frac{x-mean}{S.D} = \frac{6.8-8.3}{0.5} = -3

Let X = 8.8

Z = \frac{x-mean}{S.D} = \frac{8.8-8.3}{0.5} = 1

The probability that of people who gave the movie a rating between 6.8 and 8.8

<em>P(6.8≤X≤8.8) = P(-3≤Z≤1)</em>

                     = P(Z≤1)- P(Z≤-3)

                    =  0.5 + A(1) - ( 0.5 -A(-3))

                   = A(1) + A(3)       (∵A(-3)=A(3)

                  =  0.3413 +0.4986    (∵ From Normal table)

                 = 0.8399

<u><em>Conclusion:-</em></u>

The percentage that of people who gave the movie a rating between 6.8 and 8.8

<em>P(6.8≤X≤8.8)  = 83.9≅ 84 percentage</em>

4 0
3 years ago
The number of accidents per week at a hazardous intersection varies with mean 2.2 and standard deviation 1.1. This distribution
cluponka [151]

Answer:

Step-by-step explanation:

Hello!

The definition of the Central Limi Theorem states that:

Be a population with probability function f(X;μ,δ²) from which a random sample of size n is selected. Then the distribution of the sample mean tends to the normal distribution with mean μ and variance δ²/n when the sample size tends to infinity.

As a rule, a sample of size greater than or equal to 30 is considered sufficient to apply the theorem and use the approximation.

X[bar]≈N(μ;σ²/n)

If the variable of interest is X: the number of accidents per week at a hazardous intersection.

There is no information about the distribution of this variable, but a sample of n= 52 weeks was taken, and since the sample is large enough you can approximate the distribution of the sample mean to normal. With population mean μ= 2.2 and standard deviation σ/√n= 1.1/√52= 0.15

I hope it helps!

5 0
2 years ago
2. The size of a conC. 3 times the size of a cylinder is:
tigry1 [53]

Answer:

The answer is A.

Step-by-step explanation:

7 0
3 years ago
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