Answer:
x = 21
Step-by-step explanation:
Givens:
Every triangle's interior angles add up to 180°
The triangle has a right angle.
The triangle is isosceles (two equal sides and two equal angles)
Let's make an equation with the information we have already.
2 × (2x + 3) + 90 = 180
4x + 6 + 90 = 180
4x + 96 = 180
4x = 84
x = 21
You're really just finding the volume of the cargo-carry part.
V= L x W x H
V= 8.3m x 3m x 4.2m
V= 104.58 m3 or 105 m3 (rounded)
ANSWER: The maximum volume of sand Billy's truck can carry is about 105 m3.
Answer:
<u>4 meters.</u>
Step-by-step explanation:
Benjamin has walked two legs of a right triangle, so you can connect her two movements with a line if you were sketching the situation.. The displacement is the objects overall change in position in relation to its origin, so in your case, Benjamin's apartment. While the total distance adds up regardless of her position.
So, the total distance Benjamin walked is 10m + 6m = 16m
Her displacement can be found by your best friends, the Pythagorean Theorem: 10m ^2 + 6m ^2 = delta x^2 (or displacement squared).. giving you a displacement of 11.66, or 12 m.
The difference between the distance she walked and her displacement is 4 meters.
I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!
Answer:
The answer is 4a
Step-by-step explanation:
1) Simplify 4a² + 12a² to 16a².

2) Use this rule:


3) Since 4 × 4 is 16, the square root of 16 is 4.

4) Simplify.

<u>Therefor</u><u>,</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>4a</u><u>.</u>
So?
-756*x +x =1 ?
-755 x = 1
x= -1/755
or
what two numbers when multiplied equal -756 but when added together equal 1?
numbers are x and y
x*y= -756
x+y=1
rearrange the 2nd eq
y=1-x
substitute
x(1-x)=-756
distribute
x-x^2=-756
solve for zero
x^2-x-756=0
factor/quadratic equation