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
<span>average rate of change = (f(7) - f(5)) / (x7 - x5)
</span>f(7) = <span>12 (7^3) + 12 = 4128
f(5) = </span>12 (5^3) + 12 = 1512
so
average rate of change = (4128 - 1512)/(7-5)
average rate of change = 2616 / 2
average rate of change = 1308
hope it helps
<u>Answer:</u>
The correct answer option is B. 21.
<u>Step-by-step explanation:</u>
We are given a figure where the line KL is intersecting another line MN such that angle from K to N is equal to the angle opposing it which is the angle measuring
.
Measure of angle K - N = 90° + 15° = 105°
Since angle K - N = angle M - L, we can write it as:
105° = 5x
x = 105/5
x = 21
Therefore, the correct answer option is B. 21.
Answer:
a. M=20A
b. k=20
c. $1200
Step-by-step explanation:
<u>Direct proportions
</u>
Two variables are proportional if one of them is the other by a real number. That real number is called the Constant of proportionality. If x and y are proportional, then
y=kx, where k is the constant of proportionality.
The question describes the relationship between the amount of money raised at a charity fundraiser and the number of attendees. If they have five attendees, they raise $100
a.
Let's call A the number of attendees and M the amount of money raised, and
M=kA
We know that M=100 when A=5, so
100=k(5)
This means that
k=20
The equation for the amount raised at the charity event is
M=20A
b.
The constant of variation is k=20
c. If there are 60 attendees (A=60), then
M=(20)(60)=$1200