Answer:
The length of AC is 10 units
Step-by-step explanation:
In the given circle O
∵ AOCB is a rectangle
∵ OB and AC are the diagonals of the rectangle AOCB
∵ Diagonals of the rectangle are equal in lengths
→ That means OB and AC are equal in lengths
∴ OB = AC
∵ O is the center of the circle
∵ B is a point on the circle
∴ OB is a radius of the circle O
∵ The radius of the circle is 10 units
∴ OB = 10 units
∵ OB = AC
∴ AC = 10 units
∴ The length of AC is 10 units
We notice that the number of pages read is a function of the number of days:
If y is the # of pages read and x the # days, so the equation becomes:
y = m.x + b where m is the rate of reading or the slope and b a constant. How to calculate m? and later b
Note that we can rewrite the given as:
x| 0 | 2 | 5 | 7 |
-|------|-----|-----|------|
y| 57 | 99|162 |204 |
m= (y₂-y₁)/(x₂-x₁) = Rise/Run
m= (204-162)/(7-5) = (162-99)/(5-2) = (99-57)/(2-0) = 21
Then
m = 21 and the function y = 21.x +b
We notice in the table that when x = 0; y = 57, then
57 = 0.x + b that means b = 5 and the final equation is:
y = 21.x + 57
Answer:
B
Step-by-step explanation:
It's a trapezoid. The top and bottom sides sum is 18+12 which is 30. the height is 10 and the equation would be 30 times 10 times 1/2. The answer would then be 150.
Answer:
d. 32.9
Step-by-step explanation:
To find c, we'll use the Law of Sines that says:
And we'll isolate a to get:
We first need to find A, which is easy. The sum of the interior angles of a triangle is 180 degrees... and we already have 2 of them, so:
A = 180 - 90 - 47.3 = 42.7
(converted 47°18' to 47.3)
Then we will plug-in the information we already have
So, let's round it to 32.9 to match the answer number D.