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How to find the lateral area of the right triangular prism. What is the difference between the lateral area and the surface area

kenny6666 [7]

The lateral surface area of a prism

=sum of the areas of its lateral faces.

The total surface area of a prism is the sum of the areas of its lateral faces and its two base

lateral surface area of a right prism is L.S.A.=ph p represents the perimeter of the base and h represents the height of the prism.

total surface area of a right prism is T.S.A.=ph+2BT.S.A.=ph+2B

3 0

3 years ago

A go-cart racetrack has 100-meter straightaways and semicircular ends with diameters of 40 meters. Calculate the average speed i

emmainna [20.7K]

Answer:

Average speed of go cart is 217.07 meters per minute.

Step-by-step explanation:

We are given the following in the question:

Length of straightway racetrack = 100 m

Diameter of semicircular end = 40 m

Radius =

$r = \dfrac{d}{2} = \dfrac{40}{2} = 20\text{ m}$

Perimeter of racetrack =

Perimeter of semicircle + 2(Length of straightway) + Perimeter of semicircle

$=\pi r + 2(100) + \pi r\\=2\pi r + 2(200)\\=(2\times 3.14\times 20) + 200\\=325.6\text{ m}$

Speed =

$s = \dfrac{\text{Distance}}{\text{Time}}\\\\s = \dfrac{4\times \text{Perimeter of track}}{6}\\\\s = \dfrac{4\times 325.6}{6}\\\\s = 217.06\text{ meter per minute}$

Thus, average speed of go cart is 217.07 meters per minute.

4 0

3 years ago

The profits of mr cash’s company is represented by the equation p(t)=-3t^2+18t-4, where p(t) is the amount of profit in hundreds

Anika [276]

Answer:

$2300000- max profit
5.77 years into operation - zero profit time

Step-by-step explanation:

Given function:

p(t)= -3t^2 + 18t - 4

It is a quadratic function with general form of y = ax^2 + bx + c

It opens down if a < 0 and gets maximum value at vertex which is determined at x = -b/2a

For the given function vertex is:

t = -18/-3*2 = 3

Maximum value of p is:

p(3) = -3*3^2 + 18*3 - 4 = -27 + 54 - 4 = 23 ($2300000)

The time when profit is zero:

-3t^2 + 18t - 4 = 0
3t^2 - 18t + 4 = 0
t = (18 ± √18² - 4*3*4)/2*3 = (18 ± √276)/6 = (18 ± 16.61)/6
t = (18 - 16.61)/6 = 0.23 this is the time when company has just started to make profit, it is not applicable as is the past time
t = (18 + 16.61)/6 = 5.77 years into operation, after this time there will be no profit

5 0

3 years ago

The roots of a given function are 4i and 8. how many total roots are there?

k0ka [10]

The presence of an imaginary root (such as 4i) requires the presence of the complement of that root (which is -4i). Thus, there are 3 roots total here.

5 0

4 years ago

If a leg of a 45-45-90 triangle is 11 then the hypotenuse is...

iragen [17]

Answer:

c)11√2

Step-by-step explanation:

Given that two of the angles are equal ,each measuring 45 degrees then two legs will be equal as well each measuring 11 units. We have a right angled triangle with two sides given and we are required to determine the hypotenuse. We use Pythagoras theorem;

hypotenuse^2 = 11^2 + 11^2

hypotenuse ^2 = 242

hypotenuse = $\sqrt{242}$

hypotenuse = $11\sqrt{2}$

3 0

4 years ago

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