Answer:
missing side length is 12
Step-by-step explanation:
similar means that all correlating pairs of sides have the same ratio (old side length) / (new side length).
so, when we know the ratio of one pair, we can apply it to any other side to calculate the correlating side.
we see, when we go from small to large, that we have the ratio 32/40 = 4/5.
so, multiplying the larger side by this, we get the shorter side.
15 × 4/5 = 3 × 4 = 12
the proportion part in your picture is a bit confusing :
yes,
x/15 = 32/40 = 32/40
I don't know, why this last expression was repeated.
x/15 = 32/40
x = 15×32/40 = 15×4/5 = 3×4 = 12
as you see we get of course the same result doing it that way.
The slope of the line is -2/3.
This is found by using the equation y2 - y1/x2 - x1. Filling in for each factor, you would have 1-3/1+2 (since subtracting a negative makes it positive). This will give you a final answer of -2/3.
Here is a graph of the full equation of the line.
I hope this helps!
Answer:
Q = -5/8 * 2/3
Multiply both numbers like your multiplying actual numbers.
<em><u>(-5 * 2)/(8*3)</u></em>
<h2><em><u>
</u></em></h2><h2><em><u>
A = -10/24 = -5/12</u></em></h2><h2><em><u>
Hope this helps</u></em></h2>
Answer:
y-6=3/2(x+8)
Step-by-step explanation:
so the point slope form is y-y₁=m(x-x₁)
so enter the points (-8, 6)
y-6= 3/2(x-(-8))
y-6=3/2(x+8)
Find the area of the top, which is a circle.
Area of a circle = pi x r^2
Area = 3.14 x 1.5^2 = 7.065
Now for the volume multiply the area of the top by the height:
7.065 x 12 = 84.78 cubic inches
Round to the nearest tenth: 84.8 cubic inches