Answer:
13.8
Step-by-step explanation:
Hello There!
<u>Basic concept: Geometry</u>
We can solve for x using trigonometric ratios
Here are the <u>Trigonometric Ratios</u>
Remember SOHCAHTOA
Sin = Opposite over Hypotenuse
Cos = Adjacent over Hypotenuse
Tan = Opposite over Adjacent
For the angle that has a measure of 37 degrees
We are given its adjacent side length (11) and we need to find the hypotenuse
<u>Basic concept: Alegbra 1</u>
Adjacent and Hypotenuse corresponds with Cos so we are going to use cosine to create an equation and solve for x
Remember cos = adjacent over hypotenuse
So
now we solve for x
what we want to do is get rid of the 11, to do so we divide each side by 11
we're left with x = 13.773749224
finally we want to round to the nearest tenth
The answer would be 13.8
Answer:
3847 ft³
Step-by-step explanation:
The volume of a cylinder of radius r and height h is V = πr²h.
Here, the volume is V = π(7 ft)²(25 ft) = 1225π ft³, or approximately 3847 ft³.
Answer:
total price inluding tax is $43.20
Step-by-step explanation:
pants cost: $40
Tax amount: 8% of $40 -> 40 x 0.08 = $3.20
pants + tax:
$40 + $3.20 = $43.20
Answer:
x = 2
y = 4
Step-by-step explanation:
y = x + 2
y = 3x - 2
From equation one, y = x + 2
So, substitute x + 2 for y into equation two
We have
x + 2 = 3x - 2
Add 2 to both sides of the equation
x + 2 + 2 = 3x - 2 + 2
x + 4 = 3x
Subtract x from both sides
x - x + 4 = 3x - x
4 = 2x
Divide both sides by by 2
4/2 = 2x/2
2 = x
x = 2
Substitute 2 for x in either of the equations to get y.
Using the first equation, we have
y = 2 + 2
y = 4