All categories

4 years ago

Use trigonometry to find the value of x in the picture above.

Mathematics

1 answer:

bagirrra123 [75]4 years ago

4 0

sin(48°) = x / 1200ft. Multiply each side by 1200ft.

1200ft × sin(48°) = x.

x = 891.77 ft.

You might be interested in

The difference of two trinomials is x2 - 10x + 2. If one of the trinomials is 3x? - 11x - 4, then which expression could be the

klio [65]

Answer:

$2x^2-x-6$

$4x^2-21x-2$

Step-by-step explanation:

The difference of two trinomials $P(x)$ and $Q(x)$ is $x^2 - 10x + 2.$ This means that

$P(x)-Q(x)=x^2-10x+2$

$Q(x)-P(x)=x^2-10x+2$

If one of the trinomials is $P(x)=3x^2-11x - 4,$ then

$(3x^2-11x-4)-Q(x)=x^2-10x+2$

$Q(x)-(3x^2-11x-4)=x^2-10x+2$

1. If $(3x^2-11x-4)-Q(x)=x^2-10x+2,$ then

$Q(x)=(3x^2-11x-4)-(x^2-10x+2)\\ \\Q(x)=(3x^2-x^2)+(-11x+10x)+(-4-2)\\ \\Q(x)=2x^2-x-6$

2. If $Q(x)-(3x^2-11x-4)=x^2-10x+2,$ then

$Q(x)=(x^2-10x+2)+(3x^2-11x-4)\\ \\Q(x)=(x^2+3x^2)+(-10x-11x)+(2-4)\\ \\Q(x)=4x^2-21x-2$

4 0

3 years ago

Find the values of the variables and the measures of the angles

yuradex [85]

Answer:

x = 13

39° and 51°

Step-by-step explanation:

Angles in a triangle add up to 180 degrees.

This is a right angle triangle, so one side has a size of 90 degrees.

3x + 4x - 1 + 90 = 180

7x + 89 = 180

7x = 91

x = 91/7

x = 13

Put x as 13 to work out the size of the angles.

3(13) = 39

4(13) - 1

52 - 1 = 51

8 0

3 years ago

Read 2 more answers

In 1990, 23.8% of 18-24 year-olds in Biddeford, Maine were attending college. About 10 years later, a random sample of 610 18-24

Vlada [557]

Answer:

There is enough evidence to support the claim that the percentage of residents attending college in that age-group is greater than 23.8%

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 610

p = 23.8% = 0.238

Alpha, α = 0.01

Number of 18-24 year-old attending college , x = 178

First, we design the null and the alternate hypothesis

$H_{0}: p = 0.238\\H_A: p > 0.238$

This is a one-tailed(right) test.

Formula:

$\hat{p} = \dfrac{x}{n} = \dfrac{178}{610} = 0.2918$

$z = \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

Putting the values, we get,

$z = \displaystyle\frac{0.2918-0.238}{\sqrt{\frac{0.238(1-0.238)}{610}}} = 3.1201$

Now, we calculate the p-value from the table.

P-value = 0.0009

Since the p-value is lower than the significance level, we fail to accept the null hypothesis and reject the null hypothesis.

Conclusion:

Thus there is enough evidence to support the claim that the percentage of residents attending college in that age-group is greater than 23.8%

4 0

4 years ago

Read 2 more answers

What is the answer to -4(m+6) = -8

velikii [3]

Answer:

m= -4

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Side-splitter theorem <br> Find x

AleksAgata [21]

Answer:

Step-by-step explanation:

7 0

3 years ago