Answer:
90.4°
Step-by-step explanation:
Use Law of Cosines to solve:
12² = 9² + 8² - 2(9)(8)Cos X
144 = 81 + 64 - 144Cos X
-1 = -144Cos X
-1/144 = Cos X
Cos^-1 (-1/144) = X
X = 90.39789056°
(a)36 = 6
(b)81 = 9
(c)256 = 16
(d)196 = 14
Answer:
a. (2,5)
b. (14,15.5)
Step-by-step explanation:
a.
y=4x-3
y=-2x+9
Set both equations equal to each other to solve for x.
4x-3=-2x+9
6x=12
x=2
Plug in x to solve for y.
y=4x-3
y=4(2)-3
y=8-3
y=5
(2,5)
b.
y=(5/4x)-2
y=(-1/4x)+19
Set both equations equal to each other to solve for x.
(5/4x)-2=(-1/4x)+19
4((5/4x)-2=(-1/4x)+19)
5x-8=-x+76
6x=84
x=14
Plug in x to solve for y.
y=(5/4x)-2
y=(5/4(14))-2
y=17.5-2
y=15.5
(14,15.5)
Answer:
<u>The equation is x = y * 4/5 and US$ 12 would equal 15 Swiss Francs</u>
Step-by-step explanation:
<u>1. Let's review all the information provided for solving this question:</u>
1 US$ equivalent to 1 1/4 Swiss Franc
2. Let's write and solve a multiplication equation to find the amount of US$ that would equal 15 Swiss Francs
x = Amount of US$ equivalent
y = Amount of Swiss Francs
x = y /1.25
x = y / 5/4 (1.25 = 5/4)
<u>x = y * 4/5</u>
Now, let's replace with the real values:
x = 15 * 4/5
x = 60/5
<u>x = 12</u>
<u>US$ 12 would equal 15 Swiss Francs</u>
40 miles an hour
60 [minutes] * 60 [seconds]= 3600
22.5[seconds for 1/4 of a mile]* 4[ one mile]= 90 [seconds per mile]
3600/90=40 [miles an hour]