The function y = 2.5x + 500 represents the total number of miles if the motor car race is 500 miles long, option (d) is correct.
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
y represents the number of miles a motor car has left to go in the race
x represents the number of laps completed by the motor car
The total number of miles if we consider only circular speedways = 2.5x
The total number of miles:
y = 2.5x + 500 (because 500 is the constant)
Thus, the function y = 2.5x + 500 represents the total number of miles if the motor car race is 500 miles long option (d) is correct.
Learn more about the function here:
brainly.com/question/5245372
#SPJ1
Answer:
a. and 41.6
b. 52.1
Step-by-step explanation:
a.
Considering the left side triangle the blue dotted side is the side "opposite" to the angle given and the side 24 is the side that is "adjacent" to the angle given. The trigonometric ratio tan relates opposite to adjacent. Also, let the blue dotted side be y.
<u>Note:</u> the exact value of tan 60 is
Thus, we can write
Approximate value (rounded to nearest tenth):
b.
Considering the triangle to the right, the side "opposite" to the angle given (53 degrees) is 41.6 (just found in part (a)) and the side "hypotenuse" (side opposite to 90 degree angle) is x. The trigonometric ratio sine relates opposite and hypotenuse.
Thus we can write and solve:
Answer:
Step-by-step explanation:
Given
See attachment for parallelogram
Required
What is the height?
The opposite sides of a parallelogram are equal and the height is the distance between the parallel sides.
From the question, we have:
Also from the question, the difference between the two parallel sides is 7in.
<em>Hence, the height of the parallelogram in 7in</em>
A. 2x+y=25; x+y=20
x represents cheese wafers and y represents chocolate wafers.
B. I will choose elimination since there is y and y. I can multiply one equation by -1 to get y and -y, which cancels out.
2x+y=25
-x-y=-20
Add equations
x=5
Plug x in
5+y=20
y=15
Final answer: 5 cheese wafers, 15 chocolate wafers