Answer:
The value of a is 9 and b is -8
Step-by-step explanation:
We need to find two numbers that add up or subtract off to 1.
Then we also use the same two numbers that multiply and get -72.
Let's see:-
- 9 and -8 seem like correct values.
Because 9+(-8) is 9-8 = 1
And 9(-8) is -72.
Therefore:
The value of a is 9 and the value of b is -8 according to form of (x+a)(x+b)
Answer:
15 degrees
Step-by-step explanation:
2.5x6= 15
Since you need a little bit of trigonometry to solve this problem,
I'm pretty sure you've had a little bit of trigonometry in class before
you were assigned to solve this problem.
-- The shaded triangle comes from taking the equilateral triangle and
either folding it in half or cutting it in half.
-- The base that the new triangle is standing on is 1/2 the base of the
equilateral triangle, so it's 7 cm long.
-- The acute angle at the right end of the base is the same as it was in
the equilateral triangle . . . 60 degrees.
-- The tangent of 60 degrees is (opposite side)/(adjacent side) = x / 7 cm
tan(60) = x/7
-- Multiply each side of this little equation by 7 : 7 tan(60) = x
If you don't have the tangent of 60 degrees in your pocket, you can
find it with your calculator. Multiply it by 7, and Shazam, you know 'x' .
Area of square = 2^2 = 4
area of trapezoid = 1/2(4+7)(6) = 1/2(11)(6) = 33
area of figure = 33 - 4 = 29
answer
29 cm^2
