Answer:
412.53 inches
or
11.45916 yards
Step-by-step explanation:
Answer:
2√46 + 25π/4 ≈ 33.2 . . . . m²
Step-by-step explanation:
The altitude of the triangle is given by the Pythagorean theorem. The right triangle of interest is the one that has 5√2 as its hypotenuse, and a leg of half the base shown. Then the other leg, the altitude of the triangle, is ...
h = √((5√2)² - 2²) = √46
Then the area of the triangle shown is ...
A = (1/2)bh = (1/2)(4)(√46)
A = 2√46
__
The area of the semicircle is given by the formula ...
A = (1/2)πr²
Filling in the radius shown, the area is computed as ...
A = (1/2)π(5√2/2)² = 25π/4
So, the total area of the figure is ...
total area = triangle area + semicircle area
= 2√46 + 25π/4 . . . square meters
≈ 33.2 . . . square meters
Ordered pairs that work for this direct variation are (4, 3), (8, 6) and (12, 9).
In order to find these, we must first find the value of the direct variation coefficient. We can do that using the base equation y = kx and then by plugging in to find k.
y = kx
12 = k(16)
3/4 = k
Now that we have k, we can model the equation as y = 3/4x. We can also find any number of ordered pairs by using the x value and finding the y value. All of the above answers work.
Answer:
Ij and 8
Step-by-step explanation:
