Answer:
x=13.5
Step-by-step explanation:
Using the formula:
Sin theta=opposite/hypotenuse
Where theta=57 degrees
opposite =10.8
hypotenuse =x
Sin57=10.8/x
Xsin57=10.8
x=10.8/sin57
x=10.8/0.8
x=13.5
Answer:
y = -1/2x + 13/2
Step-by-step explanation:
The slope of a line that is perpendicular to a line will be a negative reciprocal. When you rewrite 2x-7=8 into slope-intercept form, you get y=2x-8. The negative reciprocal of the slope 2x is -1/2x. There is only one option with this slope. If you're still not sure then you can use a graphing calculator to check this. An online one would be desmos
Answer:
Step-by-step explanation:
x² - 144 = x² - 12²
= (x +12)(x - 12)
a² - b² = (a + b)(a-b)
<h3>
Answer: 17</h3>
======================================================
Explanation:
This is a piecewise function. It's composed of 3 pieces of other functions. A piecewise function is a function that changes its identity based on what the input is.
We have three different situations here
- If t = 17, then h(t) = sqrt(17t) based on what the first row says
- If t = 19, then h(t) = -34/t which is the second row of the piecewise function.
- If t does not equal either 17 or 19 (ie t is anything but those values), then h(t) = 23-t
The notation h(17) means we want to evaluate h(t) when t = 17. So we'll use the first case mentioned above. Plug t = 17 into h(t) = sqrt(17t) to get...
h(t) = sqrt(17t)
h(17) = sqrt(17*17)
h(17) = sqrt(17^2)
h(17) = 17
In the last step, I used the rule that sqrt(x^2) = x when x is nonnegative.
Answer:
a) 60%
b) $1240
c) $744
Step-by-step explanation:
a. the company's percentage %
If Jack pays 40%, the company pays the other 60%
b. the total premium $
Jack payment is 40% of the total. 40% of the total is 496. So:
The total premium is $1240.
c. the company's payment $
The company payment is 60% of 1240. So 0.6*1240 = 744.
