sin x = cos 54 = sin (90-54) = sin 46
Hence x = 46 deg
Same technique. Sin 21 = cos (5x+9) = sin (90-5x-9)
81-5x = 21
Or 5x = 60
Or x = 12 deg
hope it helps
Answer:
b
Step-by-step explanation:
In y=mx+b form, the b is the y-intercept, therefore where the line crosses the y-axis on the graph. In this graph, the line crosses the y-axis at 100. This means that the "b" value is 100. So far, our equation is y=mx+100.
Next, to find m, you go to any other point on the graph and see how much units (rise over run) you went to get there. I picked the point (2,150), You can see that it took me 1 unit up and 2 units to the right to get to that point, leading us to believe the slope is 1/2.
Finally, put everything together and you get the answer of y=1/2x+100 (the letters do not matter) :)
Answer:
She can make 27 bags
2 pieces of candy is left over
Step-by-step explanation:
She has 245 Chocolate Twisters.
she puts 9 Chocolate Twisters in each treat bag,
1 bag hold 9 chocolates
9 chocolates = 1 bag
So 245 chocolates in how many bags
Divide 245 by 9
use long division
2 7 -----------> Quotient
------------------------------------
9 245
18 (subtract it)
-------------------------
65
63 (subtract it)
----------------------------
2 -----------> remainder
She can make 27 bags
2 pieces of candy is left over
900 : 1
The linear ratio = a : 30a = 1 : 30
volume ratio = 1³ : 30³ = 1 : 900
ratio of larger to smaller = 900 : 1
Answer:
A=28.26 in²
Step-by-step explanation:
We are given the formula for the area of a circle which is:

Which means:
Area = π*radius of circle²
The radius of a circle is the length from the center of the circle to the edge of the circle.
The image tells us the radius of the circle is 3 in and the questions asks us to use 3.14 for π, therefore...
A=3.14*3²
A=3.14*9
A=28.26 in²