Answer:
36.9°
Step-by-step explanation:
The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
cos(x) = 8/10 = 0.8
The inverse trig function is used to find the angle:
x = arccos(0.8) ≈ 36.9°
12) -5k - 19 = 5 - 13k
-5k = 24 - 13k
8k = 24
k = 3
14) -15n + 16 = 86 - 29n
-15n = 70 - 29n
14n = 70
n = 5
16) 13 - 3p = -5(3 + 2p)
13 - 3p = -15 - 10p
-3p = -28 - 10p
7p = -28
p = -4
18) 14a - 93 = 49 - 57a
14a = 142 - 57a
71a = 142
a = 2
20) 8v = 2(4v + 2)
8v = 8v + 4
No solution
22) 2(-4h - 13) = 37 + 13h
-8h - 26 = 37 + 13h
-8h = 63 + 13h
-21h = 63
h = -3
24) 11n - 3 = 9 + 5n
6n = 12
n = 2
26) -9n - 12 = 8 - 4n
-5n - 12 = 8
-5n = 20
n = -4
Answer: D. The ratio of a circle's circumference to its diameter
Step-by-step explanation:
Pi is the ratio of the circumference of a circle to its diameter which means that we get pie by dividing the circumference by the diameter. This relationship is true regardless of the size of the circle because the relationship between the circumference and the diameter does not change regardless of size.
Pi is very useful when calculating measures related to circles such as area and circumference. It also comes in handy for shapes that have circles in them such as cones.
Answer:
The value of the test statistic is 4.26.
Step-by-step explanation:
In this case a hypothesis test is performed to determine whether most adults would erase all of their personal information online if they could.
A random sample of <em>n</em> = 453 adults were selected and it was found that 60% of them would erase all of their personal information online if they could.
Assume that the population proportion is, <em>p</em> = 0.50.
A <em>z</em>-test for single proportion would to used to perform the test.
Compute the value of the test statistic as follows:
Thus, the value of the test statistic is 4.26.
A. 400, 500
The question mentions you make a profit, which is to make more money than what you spent or put in. All other choices would make the statement say you ended up having less money, which is money lost, not profit.
