x=15-657/2=15-373/2=-5.316
x=15+657/2=15+373=20.316
Answer:
Danielle is 7 and her counselor is 21
Step-by-step explanation:
Let x be the age of Danielle and y be the age of her counselor then:
y=3x
x+y=28
We can solve this using substitution. In this case, substitute 3x for y since y=3x...
x+3x=28
4x=28
Divide both sides by 4 (division property of equality)
x=7
y=3x=3(7)=21
Danielle is 7 and her counselor is 21
B is the answer i believe
Break the problem into two parts: 1) the area of the this isosceles triangle whose hypotenuse is AB and 2) the area of the semicircle whose diameter is AB.
The triangle is isosceles because the lengths of the two shorter legs are the same (2 meters). Use the Pythagorean Theorem to find the length of the hypotenuse of this triangle. (AB)^2 = (2 m)^2 + (2 m)^2, or 8 m^2. Thus, AB = sqrt(8 m^2), or 2sqrt(2). This AB is also the base of the triangle. What is the area of the triangle?
Next, noting that the diameter AB of the semicircle is 2sqrt(2) and the radius is just sqrt(2), find the area of the semicircle. The area of a circle of radius r
is pi*r^2; here it's pi*(sqrt 2)^2, or pi*2, or 2pi.
Add the area of the triangle to this area of the semicircle (2pi) to find the total area of the figure.
Hint: the area of a triangle is (bh)/2, where h is the height, b is the base.
