Answer:
8 (units)
Step-by-step explanation:
The formula to find the area of a triangle is A = 1/2(b*h). Since we know the area already, we can substitute that value in to calculate the answer backwards.
Plug in the numbers known:
A = 100
h = 25
Equation: 100 = 1/2(b*25)
Now solve:
100 = 1/2(b*25)
200 = b * 25
<em>8 = b</em>
So, the answer to your question is 8 (units).
Hope this helps!
Answer:
Angle RTS
Step-by-step explanation
Say it out loud it goes, RS, ST.
If you put RS and ST together the angle RTS
we know that
In the right triangle ABC
∠
∠
------> by complementary angles
so
Step 
Find the measure of angle B
we know that
in this problem
so
Step 
Find the measure of angle A
therefore
the answer is the option
35.5° and 54.5°
Answer:
Step-by-step explanation:
The first parabola has vertex (-1, 0) and y-intercept (0, 1).
We plug these values into the given vertex form equation of a parabola:
y - k = a(x - h)^2 becomes
y - 0 = a(x + 1)^2
Next, we subst. the coordinates of the y-intercept (0, 1) into the above, obtaining:
1 = a(0 + 1)^2, and from this we know that a = 1. Thus, the equation of the first parabola is
y = (x + 1)^2
Second parabola: We follow essentially the same approach. Identify the vertex and the two horizontal intercepts. They are:
vertex: (1, 4)
x-intercepts: (-1, 0) and (3, 0)
Subbing these values into y - k = a(x - h)^2, we obtain:
0 - 4 = a(3 - 1)^2, or
-4 = a(2)². This yields a = -1.
Then the desired equation of the parabola is
y - 4 = -(x - 1)^2
Multiply both sides by 3 to get:
3r = sqrt(A)
Square both sides:
9r^2 = A
