Answer:
x = 36
Step-by-step explanation:
Complementary angles add to 90 degrees
54+x = 90
x = 90-54
x = 36
Plot the points on a graph. Connect the dots into a triangle. See that the height of the triangle is from y=5 down to y=1. So the height is 4 units.
Area of a triangle: A = (1/2)BH
You need to find the length of the base. Which is from point (-4,1) to (0,1). You can use the distance formula r just see from the graph that the base is 4 units.
A = (1/2)(4)(4)
A = 8
** Distance formula fyi
d² = (X-x)² + (Y-y)²
with points (X,Y) and (x,y)
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Answer:
The width of the sandbox is
.
Step-by-step explanation:
Given,
Area of the sandbox = 
Length = 
Solution,
Let the width of the sandbox be 'w'.
Since the sandbox is in shape of rectangle.
So we use the formula of area of rectangle.

On substituting the given values, we get;

By cross multiplication method, we get;

Hence The width of the sandbox is
.
Answer:
C. 4 weeks
Step-by-step explanation:
We have the formula

We are looking for the value of t (number of weeks) when s = 150.
So, we isolate t (well, almost isolate, because it would be hard to read)

If we replace s by 150 we get:

We have 7t = 30.25. If we divide both sides by 7 we get the number of weeks: 4.32... so rounding it down to 4.
Answer:
Step-by-step explanation:
25.57, 123/5, 49/2, 241/10