Answer:
y = 5
Step-by-step explanation:
3y - 2 = 13
We are solving for y, so we want to isolate it.
Add 2 to both sides.
3y = 15
Continue isolating y by dividing both sides by 3.
y = 5
Check your answer by plugging it back into the original equation.
3y - 2 = 13
3(5) - 2 = 13
Multiply.
15 - 2 = 13
Subtract.
13 = 13
Your answer is correct.
Hope this helps!
Answer:
x = 9
Step-by-step explanation:
Simplifying
2 + -6(1 + -1x) = 6 + -4(-1x + -2)
2 + (1 * -6 + -1x * -6) = 6 + -4(-1x + -2)
2 + (-6 + 6x) = 6 + -4(-1x + -2)
Combine like terms: 2 + -6 = -4
-4 + 6x = 6 + -4(-1x + -2)
Reorder the terms:
-4 + 6x = 6 + -4(-2 + -1x)
-4 + 6x = 6 + (-2 * -4 + -1x * -4)
-4 + 6x = 6 + (8 + 4x)
Combine like terms: 6 + 8 = 14
-4 + 6x = 14 + 4x
Solving
-4 + 6x = 14 + 4x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x' to each side of the equation.
-4 + 6x + -4x = 14 + 4x + -4x
Combine like terms: 6x + -4x = 2x
-4 + 2x = 14 + 4x + -4x
Combine like terms: 4x + -4x = 0
-4 + 2x = 14 + 0
-4 + 2x = 14
Add '4' to each side of the equation.
-4 + 4 + 2x = 14 + 4
Combine like terms: -4 + 4 = 0
0 + 2x = 14 + 4
2x = 14 + 4
Combine like terms: 14 + 4 = 18
2x = 18
Divide each side by '2'.
x = 9
Simplifying
x = 9
Answer:
157.1
Step-by-step explanation:
If you split the blue shape like in the picture, it shows that there is 1 large semicircle and 2 smaller ones.
The area of a semicircle is (pi×radius²)÷2
First, you would find out the area of the large semicircle by substituting in the numbers:
(3.142×10²)÷2=157.1
Then you would find out the area of the smaller semicircle:
The diameter of the semicircle is 10 so to find the radius you would half it.
(3.142×5²)÷2=39.275
To find the area of the whole shape, you would have to take away 39.275 and then add it back on so the answer would be 157.1
Hope this helps :)
42 x 1.07 = 44.94
44.94 - 2.94 = 42
58 x 1.07 = 62.06$
Answer:
Step-by-step explanation:
What you have here is classic right triangle trig. The height of the tower is the height of a right triangle, and the point 50 feet from the base of the tower is the base of the triangle. The angle of elevation is the base angle that is NOT the right angle. The height is opposite the base angle, while the base is adjacent to the angle, so we need the tangent ratio to find the angle. Here's what we have:

When you are looking for a missing angle, you use the inverse of the angle on your calculator. To do this, hit the 2nd button, then tan, and what you see on your screen is

Enter 200/50 (or 4) and hit "enter" to find the missing angle. It comes out to 75.9 so 76 degrees.