Answer:
D
Step-by-step explanation:
We need the formula for arc length (in radians) to solve this problem. The formula is:

Where
s is the arc length
r is the radius of the circle
is the intercepted angle
In this diagram, we can see that
is beign intercepted by the big arc with measure 20 cm. So arc length, s, is 20
Also, if we look, we see that the radius is 5 cm, so r = 5
Now, we substitute into formula and find
:

This is given in radians, so
is 4 radians
D is the correct answer choice.
Priscilla's age was 83,534 while Jack's age was 83,633.
Answer:
H. 552
Step-by-step explanation:
Circle graph information:
- Milk and eggs = x%
- Fruits and vegetables = 38%
- Cereals = 10%
- Meat and fish = 10%
- Sugar = 8%
- Fats and oils = 4%
Total consumption = 1840 pounds per person
First, calculate the percentage of milk and eggs (the value of x).
Total percentages = 100%
⇒ x + 38 + 10 + 10 + 8 + 4 = 100
⇒ x + 70 = 100
⇒ x = 30
Therefore, 30% of food consumption is milk and eggs.
To calculate the number of pounds of milk and eggs the average American consumes each year, simply find 30% of the total consumption:
= 30% of 1840
= 30% × 1840

= 552
Therefore, the average American consumes 552 pounds of milk and eggs each year.
The given equation has a slope of
. Parallel lines have the same slope.
Point-Slope formula: y - y₁ = m(x - x₁) ; where (x₁, y₁) is the point and "m" is slope
y - y₁ = m(x - x₁)
y - (-4) =
(x - 2)
y + 4 =
x + 
<u> - 4</u> <u> -
</u>
y =
x - <u>
</u>
Answer:
7 miles
Step-by-step explanation:
45 - 17 = 28 miles
28 : 4 = 7 miles