Answer:
44.4
Step-by-step explanation:
Using SOH
sin(x)=7/10
x= 44.427
direct linear variation is a straight line in which the y intercept is 0
a- wrong because it is quadratic, not linear.
b- correct, linear with a y intercept of 0
c- wrong because its exponential
d- wrong, its linear but the y intercept is 3, not 0
Y = mx + c
y = 2x + c
When x = 5 and y = 0,
0 = 2(5) + c
c = -10
y = 2x - 10
Answer:
shorter side = 7 in
longer side = 12 in
Step-by-step explanation:
Let w = width
then w + 5 = length
The perimeter of the rectangle = 2 widths + 2 lengths.
So, w + w + w + 5 + w + 5 = 38 or 2w +2(w + 5) = 38 are two ways to write the equation to solve the problem.
Now 4w + 10 = 38
4w = 28
w = 7
w + 5 = 7 + 5 = 12
shorter side = 7 in
longer side = 12 in
Check: 7 + 7 + 12 + 12 = 38 = perimeter
Answer:
x = sqroot(122)
Step-by-step explanation:
First find the line that goes thru the middle of the shape. It is the hypotenuse of the bottom/left triangle. Use the pythagorean thm.
9^2 + 5^2 = h^2
81 + 25 = h^2
sqroot106 = h
Now sqroot106 is a leg in the right triangle that is on the top/right in the image.
Use pythagorean thm again.
4^2 + (sqroot106)^2
= x^2
16 + 106 = x^2
122 = x^2
sqroot122 = x
