<u>Given</u>:
Given that the length of the two legs of the right triangle are 28 m and 45 m.
We need to determine the length of the hypotenuse.
<u>Length of the hypotenuse:</u>
The length of the hypotenuse can be determined using the Pythagorean theorem.
Thus, we have;

Simplifying, we get;


Taking square root on both sides, we get;


Thus, the length of the hypotenuse is 53 m
Hence, Option C is the correct answer.
Answer:
d) x-intercepts are –3 and –5; vertex is (–4, 1)
Step-by-step explanation:
parabola are the vertex findings -4
we find these using formula m +n / 2
m+ n = -3 -5 / 2 = -4
m+n / 2 = -8/2 = -4
xv = -4
plug in -4 to find yv
(x+5)
(-4 + 5)
yv = 1
Answer:
8.733046.
Step-by-step explanation:
We have been given a definite integral
. We are asked to find the value of the given integral using integration by parts.
Using sum rule of integrals, we will get:

We will use Integration by parts formula to solve our given problem.
Let
and
.
Now, we need to find du and v using these values as shown below:






Substituting our given values in integration by parts formula, we will get:



Compute the boundaries:



Therefore, the value of the given integral would be 8.733046.
Step-by-step explanation:
Hello there!
Use the Pythagoream theorem:

:)
Hello,
Let x be the number of 14-ounce cans
800-x be the number of bottles
Total weight=14*x+70*(800-x)=14x+56000-70x=56000-56x=56(1000-x)