The base is 16 inches.
The formula for the area of a triangle is
A = 1/2bh
We know that b = h+5, so we can rewrite this as:
A = 1/2(h+5)(h)
Using the area that we have, we now have:
88 = 1/2(h+5)(h)
We can cancel the 1/2 by multiplying by 2:
88*2 = (1/2)(h+5)(h)*2
176 = (h+5)(h)
Using the distributive property, we have:
176 = h² + 5h
We want quadratic equations to be set equal to 0, so we will subtract 176 from both sides:
176 - 176 = h² + 5h - 176
0 = h² + 5h - 176
Using the quadratic formula:
Since a negative length makes no sense, we know that h=11.
The base is 5 inches longer than the height, so b = 11+5 = 16.
Answer:
900,000
Step-by-step explanation:
It's so easy. Don't need to explain.
Answer: 34
Step-by-step explanation: The more is the most common/ repeated number. 34 is repeated twice, but all the other numbers are only shown once. So 34 is the mode.
Solve this as you would an equation. Subtract 5x from both sides and subtract 7 from both sides and what you get is
. Solve that for x and get that
which of course means that
which is D in your choices.