We can solve this by multiplying those two numbers but we place them in improper fraction.
2 1/2 x 2 1/4
becomes
5/2 x 9/4
for fraction multiplication, just multiply numerator by numerator and denominator by denominator
5/2 x 9/4 = 45/8
we can simplify this into mixed fraction while numbers in whole numbers and remainder in numerator
5 5/8 is the answer
(For full answer you might have to go to the comments)
Answer: 28x+30
Explanation: we divide (3x^3-2x^2+4x-3) by (x^2+3x+3) Using long division
3x-11
___________________
(x^2+3x+3) 3x^3-2x^2+4x-3
-(3x^3+9x^2+9x)
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-11x^2-5x-3
-(-11x^2-33x-33)
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28x+30
So our remainder will be 28x+30
Answer:
Step-by-step explanation:
x = 52° + 90° ( exterior angle of a triangle is equal to the sum of two opposite interior angles )
x = 142°
Write that as 7x. Writing it as x7 could lead to confusion. 7*x would be OK.
Answer:
16 feet
Step-by-step explanation:
The length of the ladder=20 feet
Distance from the base of the ladder to the house = 12 feet
You will notice that a wall is vertical and the ladder makes an angle with the horizontal ground(making it the hypotenuse). This is a right triangle problem.
To find the how far up the house can the ladder can reach, we simply find the third side of the right triangle.
From Pythagoras theorem

The third side of the right triangle is 16. Therefore the ladder leans 16 feet from the ground.