Answer:
43.4
Step-by-step explanation:
You will need to use the phythagoream therom, which is a² + b² = c². Plug the values in for the variables to get 7² + b² = 44², (c would equal the hypothenuse because the hypothenuse is the longest side of the triangle.) Square the values to get 49 + b² = 1936. Subtract 49 from both sides to get b² = 1887, then take the square root of both sides to get b = 43.4 (rounded to the nearest tenth.)
I am really sorry if I'm wrong, but have a good day/night! :)
The rate of change of the area of the triangle when t=1 is also equal to 3.
<h3>Rate of change</h3>
Given the function of height of a triangle expressed as:
The rate of change is expressed as
The rate of change of the area of the triangle when t=1 is also equal to 3.
Learn more on rate of change here: brainly.com/question/8728504
Here you go: the answers
7. C
8. A
Answer:
∠S = 21.10°
∠M = 79.45°
PM = 9.16
Step-by-step explanation:
Here Pythagorean theorem and trigonometry suffice to solve our problem.
From the Pythagorean theorem we get:
and
We solve for 
in the second equation and get:
Now since
Therefore
and
And finally again from the Pythagorean theorem:
Thus,
∠S = 21.10°
∠M = 79.45°
PM = 9.16.
Recognize that both 0.96 and 0.144 are divisible by 12:
(0.96/12) / (0.144/12) = 0.08 / 0.012. This reduces to 0.02 / 0.003, or
20/3 or approx. 6.666.
You could also begin by eliminating the decimal fractions. Mult. 0.96 and 0.144 each by 1000 results in 960/144.
Since both 960 and 144 can be divided evenly by 24, we get 40 and 6.
40/6 = 20/3, or approx. 6.666, as before.
