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3 years ago

Using the technique in the model above, find the missing sides in this 30°-60°-90° triangle. Long = 3 Hypotenuse =

1 answer:

6 0

Alright, if I have this right, first of all, your provided with only one side of the triangle, the long leg. You need to calculate the short leg, and then the hypotenuse for it to all be complete
1. Find the short leg's measurement by dividing the length of the long leg by the square root of 3 (use a calc.)
2. 3/ the square root of 3 = to 1.73
3. The length of the short leg, supposedly, is 1.73 (roughly, was rounded)
4. Find the hypotenuse by taking the length of the short leg times 2
5. 1.73*2=3.46, (roughly, was rounded)
6. Apply the measurements to the figure.
7. The long leg is equal to 3, the hypotenuse is equal to 3.46, and the short leg is equal to 1.73
~Hope this helps!
(Would appreciate brainliest :p)

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Jay makes a base salary of $2000 per month. Once he reaches $50000 in total sales, he earns an additional 5% commission (salary)

ki77a [65]

Answer:

$j(s) = 0.05s -500$

Step-by-step explanation:

Given

$Base\ Salary = 2000$

$Commission = 5\%$ on Sales over 50000

Required

Determine the function j(s) for sales over 50000

Represent the total sales in a month with s.

Sales over 50000 in that month will be: s - 50000

So, the function j(s) is:

j(s) = Base Amount + Commission * Sales over 50000

$j(s) = 2000 + 5\% * (s - 50000)$

Convert % to decimal

$j(s) = 2000 + 0.05 * (s - 50000)$

Open bracket

$j(s) = 2000 + 0.05 * s - 0.05 * 50000$

$j(s) = 2000 + 0.05s - 2500$

Collect Like Terms

$j(s) = 0.05s - 2500 + 2000$

$j(s) = 0.05s -500$

3 0

3 years ago

If you shift the linear parent function, f(x) = x, up 6 units, what is the equation of the new function?

Annette [7]

To solve this problem you must apply the proccedure shown below:

1. You have the following parent function given in the problem above: $f(x)=x$

2. If you want to shift this parent function up six units, you only have the add a $6$ , then, you will obtain the following new function:

$g(x)=x+6$

Therefore, as you can see, the answer is: $g(x)=x+6$

5 0

3 years ago

Someone please help me

cupoosta [38]

Answer:

which one ? and which one Questions

4 0

3 years ago

SHOW WORK:

fomenos

Answer:

Expected population in 2015: 19,152.58 or 19,000 people

Step-by-step explanation:

Given the decreasing rate of 2.5% per year, and a population of 28,000 in the year 2000:

We can solve for the rate of decrease by using the formula:

$A = a(1 - r )^{t}$

where:

A = population by year 2015

a = initial population (in year 2000) = 28,000

r = rate of change (decrease by 2.5% annually or 0.025)

t = time (in number of years) = 15

Plug in these given values into the formula:

$A = a(1 - r )^{t}$

$A = 28,000(1 - 0.025 )^{15}$

$A = 28,000(0.975)^{15}$

A = 28,000(0.684)

A = 19,152.58 or about 19,000 people in 2015

6 0

2 years ago

Brian Vanecek, VP of Operations at Portland Trust Bank, is evaluating the service level provided to walk-in customers. According

77julia77 [94]

Answer: (14.18, 15.08)

Step-by-step explanation:

Given : Sample size : n= 64

Sample mean : $\overline{x}=15$

Standard deviation : $\sigma=4$

Significance level : $\alpha: 1-0.90=0.1$

Critical value : $z_{\alpha/2}=1.645$

The confidence interval for population mean is given by :-

$\overline{x}\pm\ z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}\\\\=15\pm(1.645)\dfrac{4}{\sqrt{64}}\\\\\approx15\pm0.82\\\\=(14.18,\ 15.08)$

Hence, the 90% confidence interval for the population mean of waiting times is (14.18, 15.08).

8 0

3 years ago