Answer:
The lateral surface area of the triangular prism is 379.5sq units
Step-by-step explanation:
The side lengths of the base of the triangular prism are 5 meters, 8 meters, and 10 meters.
It is given that the height of the prism is 16.5 meters.
To determine the lateral surface area of the prism, let us use the formula
where a, b,c are the side lengths of the base of the triangular prism and h is the height of the prism.
Here and
Substituting these values in the formula, we have,
Simplifying, we get,
Multiplying, we get,
Thus, the lateral surface area of the triangular prism is
A is poor
B is good
C is marginal
Three possible points are:
(-3, 0)
(0, 2)
(3, 4)
To find any points, simply select any value for x. Input that value, then find the corresponding y-value.
For example, if x = 0, then:
-3y = -2(0) - 6
-3y = -6
y = 2
Answer:
3676.44 rad/min
Step-by-step explanation:
It is a problem about the angular speed of the car's wheel.
You can calculate the angular speed by using the following formula, which relates the tangential speed of the wheels (the same as the speed of the car) with the angular speed:
( 1 )
v: speed of the car = tangential speed of the wheels = 47mph
r: radius of the wheels = 27/2 in = 13.5 in
you change the units of the speed:

next, you replace the values of v and r in the equation (1):

Then, the car's tires are turning with an angular speed of 3676.44 rad/min
She made the mistake in step 4
She should have divided by -2 not just 2 alone