Answer:
72
Step-by-step explanation:
Corresponding angles on parallel lines always have the same measure.
Answer:
Step-by-step explanation:
1. Subtract 10 from both sides. Then:
2. Divide both sides by -2. Notice that the direction of the symbol of the inequality will change. Then:
3. Add 22 to both sides. Then:
4. Divide both sides by -7. Notice that the direction of the symbol of the inequality will change. Then:
5. Subtract 30 from both sides. Then:
6. Divide both sides by -5. Notice that the direction of the symbol of the inequality will change. Then:
7. Subtract 13 from both sides. Then:
8. Add 12 to both sides. Then:
Answer:
301.6 ft³
Step-by-step explanation:
The volume (V) of a cone is calculated using the formula
V = 
× area of base × perpendicular height (h)
h can be calculated by using Pythagoras' identity in the right triangle
with hypotenuse = 10 and legs 6 and h, thus
h² + 6² = 10²
h² + 36 = 100 ( subtract 36 from both sides )
h² = 64 ( take the square root of both sides )
h = 
= 8
Hence
V = × π × 6² × 8
= × 288π = 
≈ 301.6
Answer:
y = 1/2x + 1
In order to evaluate a slope that is perpendicular to the given equation, you need to find the opposite reciprocal of the original slope. This means you take the original slope, flip the numerator and the denominator, and change the sign in front.
-2 ⇒ 1/2
Next, we need to substitute the information given into the point-slope formula.
The point-slope formula is:
y - y₁ = m(x - x₁)
y - 1 = 1/2(x - 0)
y - 1 = 1/2x
y = 1/2x + 1
Therefore, the line perpendicular to y = -2x + 2 is y = 1/2x + 1.
Answer:
x = 7
y = 2
Step-by-step explanation:
In the above question, we are given 2 equations which are simultaneous. To solve this equation, we have to find the values of x and y
x + 3y = 13 ........ Equation 1
x - y = 5...........Equation 2
From Equation 2,
x = 5 + y
Substitute 5 + y for x in Equation 1
x + 3y = 13 ........ Equation 1
5 + y + 3y = 13
5 + 4y = 13
4y = 13 - 5
4y = 8
y = 8/4
y = 2
Since y = 2, substitute , 2 for y in Equation 2
x - y = 5...........Equation 2
x - 2 = 5
x = 5 + 2
x = 7
Therefore, x = 7 and y = 2
