Answer:
- 63 ft²
- h = 2A/b; h = 7 ft
Step-by-step explanation:
1. Put the values where the variables are in the formula, then do the arithmetic.
... A = (1/2)bh = (1/2)(18 ft)(7 ft) = 63 ft²
2. Divide by the coefficient of h. Substitute the given values and do the arithmetic.
... A = (1/2)bh
The coefficient of h is b/2, so we divide by that—or multiply by its inverse, 2/b.
... 2A/b = h
Substituting the given numbers, you have ...
... 2(28 ft²)/(8 ft) = h = 7 ft
The height of the triangle is 7 ft.
Answer:
Part a): 100 degrees
Part b): Isosceles Triangle
Step-by-step explanation:
Part a): Since the angle measures of all triangles add up to 180 degrees and since the other two angles are 40 degrees, which add up to 80, we can use subtraction to find the answer.
180 - 80 = 100
Part b): Since only two of the three angles in this triangle have the same measure, we can find that it is an isosceles triangle, with base angles measuring 40 degrees, and the vertex angle being 100 degrees.
Step-by-step explanation:
here
f(x)=2x^2-1
Now
f(4y)=2*4y^2-1
9514 1404 393
Answer:
shaded/square = (50π cm²)/(400 cm²) = π/8
Step-by-step explanation:
The quarter circle has area ...
A = (1/4)(πr²) = π/4(20 cm)² = 100π cm²
The half-circle has area ...
A = (1/2)(πr²) = π/2(10 cm)² = 50π cm²
Then the area of the shaded portion is ...
shaded = 100π cm² -50π cm² = 50π cm²
__
The area of the square is ...
A = s² = (20 cm)² = 400 cm²
Then the ratio of interest is ...
shaded/square = (50π cm²)/(400 cm²) = π/8
