Answer:
3) 8
4) 5.25 cups
Step-by-step explanation:
3) cross multiply:
36 × 10 = 360
45 × x = 45x
equate them both:
360 = 45x
divide both sides by 45
360 ÷ 45 = 8
x = 8
4) 8 people : 3 cups of flour
14 people : how many cups?
14 ÷ 8 = 1.75
to get from 8 people to 14 people we multiply by 1.75, so do the same thing to the 3 cups:
3 × 1.75 = 5.25 cups
Angle a is directly opposite from a 40 degree angle, so a=40. Then we can find b since the sum of the angles of all triangles is 180 and there is a right angle in there along with angle a:


Last, to find c we just notice that it is supplementary with an angle of measure 65, so:


So our angles are a=40, b=50, c=115.
Use the Quadratic formula,
x= -b +/- sqrt(b^2-4ac)
-------------------------
2a
x= 4 +/- sqrt(16+12)
----------------------
-6
x = 4+/- sqrt(28)
---------------
-6
x = 4 +/- 2*sqrt(7)
------------------
-6
x= 2(2+/- sqrt(7))
------------------
2(-3)
x= 2+/- sqrt(7)
--------------
-3
1:2
because red:black = 10:20 and simplifies to 1:2
Answer:
4700
Step-by-step explanation:
It's already at the nearest hundred