Answer:
x = 40°
Step-by-step explanation:
Reference angle = x°
Adjacent side length to reference angle = 7.2
Hypotenuse = 9.4
Apply trigonometric function CAH, which is:
Cos x = Adj/Hyp
Substitute
Cos x = 7.2/9.4
Cos x = 0.76596
x = 40° (nearest tenth)
Answer:
$85.174
Step-by-step explanation:
Data provided in the question;
Treasury bond = $2000
Interest rate = 3.7%
Quoted at 115.1 points or 1.151%
Therefore,
the price of the bond = 1.151 × $2000
or
the price of the bond = $2,302
Thus,
the annual interest = Price of the bond × rate
or
the price of the bond = $2,302 × 0.037 = $85.174
Hence, the annual interest in $85.174
Answer:
$708
Step-by-step explanation:
Multiply the 327 tickets by how much they are selling, which is 4, to see how much the profit is without the expenses
327*4=1,308
Subtract 600 because 600 are the expenses, and 1,308 because this would be the profit without expenses, but we have to find the total profit price with expenses included
1,308-600=708
5 goes into both 75 and 100
Hope this helped :)))
The total number of cars both the student and the teacher made is 49
let
total cars = x
cars made by student = s
cars made by teacher = t
Total = student + teacher
x = s + t
s = 2/7x
So,
x = 2/7x + t
x - 2/7x = t
t = (7x - 2x) / 7
t = 5/7x
Similarly,
s = t - 21
s = 5/7x - 21
equate both s equation
2/7x = 5/7x - 21
2/7x - 5/7x = -21
(2x - 5x) / 7 = -21
- 3/7x = -21
x = -21 ÷ -3/7
= -21 × - 7/3
= (-21 × -7) / 3
= 147/3
x = 49
Therefore, the total number of cars both the student and the teacher made is 49
Learn more about fractions:
brainly.com/question/11562149