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SIZIF [17.4K]
3 years ago
13

Does anyone get this??

Mathematics
1 answer:
kirill115 [55]3 years ago
6 0

Answer:

The distance from the feet to the wall is 9 ft

Step-by-step explanation:

Using trig,

We must use cosine to find the missing side.

The equation is cos 60 = \frac{adjacent}{18}

The cosine of 60 is 1/2

So, we multiply 1/2 by 18

to get 9

Hope this helps!

Branliest would really be nice!

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Using 4 equal-width intervals, show that the trapezoidal rule is the average of the upper and lower sum estimates for the integr
prisoha [69]

Split up the interval [0, 2] into 4 subintervals, so that

[0,2]=\left[0,\dfrac12\right]\cup\left[\dfrac12,1\right]\cup\left[1,\dfrac32\right]\cup\left[\dfrac32,2\right]

Each subinterval has width \dfrac{2-0}4=\dfrac12. The area of the trapezoid constructed on each subinterval is \dfrac{f(x_i)+f(x_{i+1})}4, i.e. the average of the values of x^2 at both endpoints of the subinterval times 1/2 over each subinterval [x_i,x_{i+1}].

So,

\displaystyle\int_0^2x^2\,\mathrm dx\approx\dfrac{0^2+\left(\frac12\right)^2}4+\dfrac{\left(\frac12\right)^2+1^2}4+\dfrac{1^2+\left(\frac32\right)^2}4+\dfrac{\left(\frac32\right)^2+2^2}4

=\displaystyle\sum_{i=1}^4\frac{\left(\frac{i-1}2\right)^2+\left(\frac i2\right)^2}4=\frac{11}4

4 0
3 years ago
What is the slope of the<br> line that passes through the<br> points (-12, -5) and (0, -8)?
denis-greek [22]

Answer:

I think its - 2/3

Step-by-step explanation:

5 0
3 years ago
A store has apples on sale for 28.00 for 8 pounds. If an apple is approximately 5 ounces, how many apples can you buy for $112.0
mrs_skeptik [129]

Answer:

112 divided by 4 is 28. So 16 times 4 = 64. 64 divided by 5 is 12. 12 apples per 8 pounds. so 12 times 4 is 48 so your answer is 48

Step-by-step explanation:

7 0
3 years ago
Why are different intervals used when restricting the domains of the sine and cosine functions in the process of defining their
umka21 [38]

Answer:

See below

Step-by-step explanation:

The interval must be chosen so that the function is one-to-one, and the sine and cosine functions are not one-to-one on the same intervals.

3 0
2 years ago
The pipe fitting industry had 546.5 thousand jobs in 2015 and is expected to decline at an average rate of 3 thousand jobs per y
lesya692 [45]

Answer:

The amount of jobs from fitting industry shall decline in 5.5 percent from 2015 to 2025.

Step-by-step explanation:

Due to the assumption of a yearly average rate, a linear function model shall be used. The expected amount of jobs (n) after a certain amount of years (t) is given by the following formula:

n = n_{o} + \frac{\Delta n}{\Delta t}\cdot t

Where:

n_{o} - Initial amount of jobs in pipe fitting industry, measured in thousands.

\frac{\Delta n}{\Delta t} - Average yearly rate, measured in thousands per year. (A decline is indicated by a negative sign)

If n_{o} = 546.5, t = 2025-2015 = 10\,years and \frac{\Delta n}{\Delta t} = -3\,\frac{1}{years}, then:

n = 546.5+\left(-3\,\frac{1}{year}\right)\cdot (10\,years)

n = 516.5

The percent change in jobs from pipe fitting industry is calculated as follows:

\%n = \left(1-\frac{n}{n_{o}}\right)\times 100\,\%

\% n = \left(1-\frac{516.5}{546.5}\right)\times 100\,\%

\%n = 5.5\,\%

The amount of jobs from fitting industry shall decline in 5.5 percent from 2015 to 2025.

4 0
3 years ago
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