Answer: 3. B) 1800 4. 4000 5. A) 20 5. B) 37.5
Step-by-step explanation:
Answer: Shift the graph to the right by 6, and up by 3.
Step-by-step explanation: If a number is in parentheses or absolute value lines, use the inverse sign. If it’s outside of the parentheses, move it like normal.
Answer:
x=-4
Step-by-step explanation:
The angles have to equal eachother, so:
130=134+x
subract 134 from both sides
-4=x
If the sides are in the ratio of 11:16:24, it means that they are all multiples of a same number x, according to these factors.
So, the shorter side is 11x feet long, the middle one is 16x feet long, and the longest side is 24x feet long.
This means that the perimeter is
feet long. But we know that this is 510 feet, so we have
.
So, the three sides are 110, 160 and 240 feet long.
To find the area of a triangle knowing its three sides, you can use Heron's formula, which states that, if
is half the perimeter of the triangle whose sides are
, the area
is given by

In our case,
so the formula becomes

C. You can get rid of B and D right away, because the length is longer than the width. Then you just multiply the remaining options to see which one's product is 204. It would be C because 12*17=204.