Answer:
Step-by-step explanation:
we know that
In the right triangle of the figure XYZ
Applying the Pythagorean Theorem
substitute the given values
square root both sides
A contractor finds that 3 gallons of paint will cover 375 sq ft of wall area. How much wall area could be covered with 18 gallon
1 answer:
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Answer:
Step-by-step explanation:
1. Approach,
For this problem, the format of a line that will be used is, slope-intercept form;
Where () is the slope of the line, also known as the change in the line and
is the y-intercept, or where the graph of the line intersects the y-axis. Since, in this problem, the slope of the line is given, all one has to do is substitute in a point on the given line and solve.
2. Finding the equation,
In this problem, the slope of the line is given. Therefore, to solve this problem, all one has to do is substitute in a point on the given line and solve.
Substitute in the slope,
Substitute in the point,
Simplify,
Inverse operations,
3. Putting it all together,
Now, that one has y-intercept, (); use the given slope and the formula
, substitute in all the information.
Answer:
The value of y that would make O P parallel to L N = 36
Step-by-step explanation:
This is a question on similar triangles. Find attached the diagram obtained from the given information.
Given:
The length of O L = 14
the length of O M = 28
the length of M P = y
the length of P N = 18
Length MN = MP + PN = y + 18
Length ML = MO + OL = 28+14 = 42
For OP to be parallel to LN,
MO/ML = MP/PN
MO/ML = 28/42
MP/PN= y/(y+18)
28/42 = y/(y+18)
42y = 28(y+18)
42y = 28y + 18(28)
42y-28y = 504
14y = 504
y = 504/14 = 36
The value of y that would make O P parallel to L N = 36
