Answer:
6.1° and 83.9°
Step-by-step explanation:
Complementary angles sum 90°
a+b = 90°
a = b - 77.8
then:
(b - 77.8) + b = 90
2b - 77.8 = 90
2b = 90 + 77.8
2b = 167.8
b = 167.8/2
b = 83.9°
a = b - 77.8
a = 83.9 - 77.8
a = 6.1°
Answer: 2x+3
Step-by-step explanation:
Let the red beans be 5x and green beans be 9x
Then,
total beans = 5x + 9x =14x
∴ The fraction of beans that are red = No. of red beans / Total beans
= 5x/14x
= 5/14
Answer:
Find the equation of the line that is parallel to y=4x+1 and contains the point (1,1)
Substitute 1 for x and 1 for y in y=4x+1.
1=4(1)+1
The given point does not make the equation true.
Invalid Point
Step-by-step explanation:
Answer:
110 ft³ of water
Step-by-step explanation:
Use the prism volume formula, V = Bh, where B is the area of the base and h is the height.
Plug in the area of the base and height, and solve for V:
V = Bh
V = (22)(5)
V = 110
So, the volume is 110 ft³
There is 110 ft³ of water in the tank