It’s the last one! Hope this helps
<h3>Given</h3>
right triangle with side "a" = 12 and hypotenuse "c" = 15
<h3>Find</h3>
cos(∠A)
<h3>Solution</h3>
The Pythagorean theorem tells you
... b = √(c² - a²) = √(225 - 144) = √81 = 9
The definition of the cosine tells you
... cos(A) = b/c = 9/15
... cos(A) = 3/5 . . . . . . reduce the fraction
Complimentary angles add up to 90 degrees
AEC and CED are complimentary
The spring .2m far when it is compressed on being supported by a mass of 10kg.
Given: Mass of 30 kg which compresses spring by 0.6m
To find: The compression of the spring when it is supported by a mass of 10 kg
Concept: Compression springs are coiled springs that hold mechanical energy in a compressed state. When these springs are subjected to compressive loads, they compress and shorten, capturing and storing significant potential force.
The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
By using unitary method,
10 is 3 times less than 30.
so, 30/3=10
Also applying the same proportion over the lengths compressed,
we get, 0.6/3=.2
For more information about unitary method, visit
brainly.com/question/24587372
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Answer:
Coach pug charges $45 only one time, and an additional of $20 per session.
So if you take x sessions, the total cost will be:
c(x) = $45 + $20*x
Dr. Doberman charges only $30 per session, then the cost for x sessions will be_
d(x) = $30*x
Now, which one is better for you?
We need to see the value of x such that:
d(x) = c(x)
$30*x = $45 + $20*x
$30*x - $20*x = $45
$10*x = $45
x = $45/$10 = 4.5
This means that if you take 4 sessions or less, is better the Dr. Doberman, because in this case we do not have an y-intercept.
If you want to have 5 sessions or more, is better Coach Pug, because the slope of the equation is smaller, so the costs for larger values of x will be smaller.