9514 1404 393
Answer:
A. 53.5cm^2
Step-by-step explanation:
The area of the circle is ...
A = πr²
A = 3.14(5 cm)² = 78.5 cm²
The area of the triangle is ...
A = 1/2bh
A = 1/2(10 cm)(5 cm) = 25 cm²
The shaded area is the difference between the circle area and the triangle area:
shaded = 78.5 cm² -25 cm² = 53.5 cm²
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<em>Additional comment</em>
As with many multiple-choice questions, you can simply pick the answer that is not outlandish. The circle will fit into a square that is 10 cm on a side, so its total area is less than 100 cm² (eliminates choice B).
The shaded area is definitely more than 1/4 of that 100 cm² square, so choices C and D are eliminated, too. The only choice that is not unreasonable is choice A.
Answer:
x^2-11x-12
Step-by-step explanation:
I use the box method, which makes a 2x2 box. Then you arrange you numbers based on the equation (show in image)
Then you multiply it out and get the equation
F(x)= x^2+x-12x-12
Simplify your equation and you get
F(x)= x^2-11x-12
115 divided 23/4 is equivalent to 115 x 4/23= 20
Answer:
Therefore other two sides of the triangle are 4 and 5.
Step-by-step explanation:
Given one leg of a right triangle has a length of 3
Let other sides of the triangle be x and x+1 [ since they are consecutive]
According to the problem,
3²+x²=(x+1)²
⇔9 + x²=x²+2x+1
⇔2x+1=9
⇔2x=9-1
⇔2x=8
⇔x=4
Therefore other two sides of the triangle are 4 and 5.
