Answer:
Smaller Number = 10
Larger Number = 33
Step-by-step explanation:
Let the smaller number be "x" and the larger number be "y"
5 TIMES smaller is SUBTRACTED from TWICE larger, the result is 16, we can write:
2y - 5x = 16
and
Larger increased by 3 TIMES SMALLER, result is 63, so we can write:
y + 3x = 63
We can write this in terms of x, as:
y = 63 - 3x
Now we put this in equation 1 and solve for x first:
2y - 5x = 16
Now,
y = 63 - 3x
y = 63 - 3(10)
y = 63 - 30
y = 33
Smaller Number = 10
Larger Number = 33
{(-2, 6), (-5, -1), (3, 7), (-5, 0)}
Domain: The domain is all the x-values (-2, -5, 3, -5)
Range: The range is all the y-values (6, -1, 7, 0)
Function: It's not a function because of the x-value -5 is repeating.
Answer:
115m
Step-by-step explanation:
Note that one of the face of a pyramid is a right angled triangle.
Since the pyramid was about 147m tall, the height of triangle will be 147m. If one of the faces is built with one of its faces at 52° to the incline, we can find the original length of one of its sides using SOH CAH TOA
tan(theta) = opposite/adjacent
Given theta = 52°, opposite = 147m (the side directly opposite the angle)
Substituting we have;
Tan52° = 147/adjacent
Adjacent = 147/tan52°
Adjacent = 114.8m
= 115m
Therefore 115m is the original length of one of its side
What kind of question is this mr chow is not happy
Answer:
The length of the third side of the triangle is 
Step-by-step explanation:
Let
c ----> the length of the third side of the triangle
we know that
Applying the law of cosines
we have
substitute the given values
