A = (√3)/4 x s²
s = 9
A = (√3)/4 x 9²
A = (√3)/4 x 81
A = (81√3)/4
Answer:
1)
A)
We must use the formula b x h/2 12 x 8/2 = 48
A=48
B)
We must use the formula 1/2a root c squared - a squared
Solving and substituing will get you 35.78
2)
A)
We must divide 81 by 2 to get 9. Since this is a square, all sides will be 9. Then, we must add 9 four times to get 36 cm as our perimeter
B) If we draw the square with a diagonal line, we can understand that the diagonal line (hypotenus) is s root 2.
3) The formula for this area of a triangle is h x b/2. We must substitute the numbers to get our answer:
h x b /2 = 10 x 20/2 = 200/2 = 100
AREA IS 100cm squared
Step-by-step explanation:
Answer:
b. 4x^2 + 3x - 6
Step-by-step explanation:
The values of f(x) for the extremes of x are more positive than the value of f(x) for the middle x, so we know the parabola opens upward. That eliminates choice D.
It is probably easiest to evaluate the other expressions to see which one matches the given f(x) values. For the purpose, it is usually easier to use the Horner form of the equation.
a. f(-2) = (3(-2) +4)(-2) -6 = -2(-2) -6 = -2 ≠ 4
b. f(-2) = (4(-2) +3)(-2) -6 = -5(-2) -6 = 4 . . . . matches the given data point
c. Because (b) matches, we know this one will not.
The appropriate choice is B.
Answer:
12.5 sq. units
Step-by-step explanation:
Divide the blue triangle into two smaller triangles.
The length of their common base = 5 units
The height of the <u>yellow</u> triangle = 2 units
The height of the <u>red</u> triangle = 3 units
The area of the yellow triangle
= (5×2)÷2
= 5 sq. units
The area of the red triangle
= (5×3)÷2
= 7.5 sq. units
The total area
= 5+7.5
= 12.5 sq. units