Answer:
Therefore,
The lengths of side a and b are,

Step-by-step explanation:
Given:
Shape is of triangular prism.
Length = a
Width = b
Height = h =10 mm
Also, b = 2a
Volume of the Triangular Prism = 40 mm³
To Find:
a = ?
b =?
Solution:
Shape is of triangular prism. GIVEN
We Know that,
Substituting the given values we get

But ,
Given
Substituting a we get
Therefore,
The lengths of side a and b are,

First we need to find the slope of the line.
slope = y1-y2/x1-x2 = 4-1/3-(-3) = 3/6 = 1/2
So, the slope is 1/2
Now, we need to find the y-intercept by using the equation y=mx+b
y=mx+b
4=1/2(3)+b
4=3/2+b
-3/2 -3/2
5/2=b
So, the equation is y=1x/2+5/2 which is also C. y-3=1/2(x+1)
HPE THIS HELPS!!!
Answer:
<h2>The height is 10 m</h2>
Step-by-step explanation:
Area of a trapezoid is given by
<h3>

</h3>
where
a and b are the bases
h is the height
From the question
A = 135 m²
a = 20m
b = 7 m
Substitute the values into the above formula and solve for the height
That's
<h3>

</h3>
<u>Divide both sides by 27</u>
That's
<h3>

</h3>
We have the final answer as
<h3>10 m</h3>
Hope this helps you
Answer:
95% confidence interval: (2.339,3.521)
Step-by-step explanation:
We are given the following in the question:
3.32, 2.49, 3.45, 2.38, 3.01
Formula:
where
are data points,
is the mean and n is the number of observations.
Sum of squares of differences = 0.925

95% confidence interval:
Putting the values, we get,