The answer is 39 because 6 times 5 is 30. 30 plus 9 is 39. :)
Let the acute angle be 2x.
Its complement is 90 - 2x.
It is given that this complementary angle is less than each of the bisected angle.
Therefore, 90 - 2x < x
90 < 3x
or, x > 30.
2x > 60
Therefore, the statement is true for all angles that are greater than 60 degrees.
Let dimes = d and quarters =q
D + q = 50
D= 50-q
0.10d + 0.25Q = 7.70
Replace d with 50-q:
0.10(50-q) + 0.25q = 7.70
Simplify:
5 -0.10q + 0.25q = 7.70
5 + 0.15q = 7.70
Subtract 5 from both sides:
0.15q = 2.70
Divide both sides by 0.15:
Q = 2.70 / 0.15
Q = 18
D = 50-18 = 32
There are 32 dimes and 18 quarters
You need to find the area of the total rectangle, and subtract the area of the green rectangle from it. Therefore the solution is 12x10 - 8x6. This equals 72; part (C) of the question.
Therefore the solution is 72 units square; part (C).
Answer:
p=0 or p=4
Step-by-step explanation:
first simplify the equation
p^3-4p^2=0
p(p^2-4p)=0
p(p-4)(p-0)=0( factorise p^2-4p)
p=0 p=0. p-4=0,p=4
therefore,p=0 or p=4
