All categories

2 years ago

What is the surface area for this triangular prism?

Mathematics

1 answer:

malfutka [58]2 years ago

7 0

Answer:

52 cm^2

Step-by-step explanation:

To find the rectangular area on the bottom you multiply 3 by 5 = 15 cm^2.

To find the triangular area on the sides you multiply 4 by 3 = 12 cm^2 then divide by 2 = 6 cm^2, but since there are 2 of them you multiply by 2 again and end up with a surface area of 12 cm^2.

To find the square area on the top you multiply 5 by 5 = 25 cm^2.

So the total surface area is 25+15+12 = 52 cm^2.

Note: cm^2 represents cm squared

You might be interested in

Aiko had $20 dollars to buy candles returned 2 candles for which she had paid $4.75 each. Then she brought 3 candles for $3.50 e

Furkat [3]

4.75 X 2= 9.50.
3.50 X 3= 10.50.
10.50 + 9.50= $20
$20 - 20$= $0
I’m gonna stop right here because I don’t understand your grammar.

8 0

2 years ago

Daniela sells handmade purses for $22. She

Evgen [1.6K]

Answer:

6 purses

Step-by-step explanation

1. Subtract 71 from 161 as that's how much Daniela needs to make to have 161, which is 90

2. Divide 15 by 90 as 15 is the profit, so the answer would be the amount of purses she needs to sell, then you get 6

Check

6 times 15, 90

71 + 90 = 161

5 0

2 years ago

Use the arc length formula to find the length of the curve y = 4x − 5, −1 ≤ x ≤ 2. check your answer by noting that the curve is

professor190 [17]

Ok, here we go. Pay attention. The formula for the arc length is $AL= \int\limits^b_a { \sqrt{1+( \frac{dy}{dx})^2 } } \, dx$ . That means that to use that formula we have to find the derivative of the function and square it. Our function is y = 4x-5, so y'=4. Our formula now, filled in accordingly, is $AL= \int\limits^2_1 { \sqrt{1+4^2} } \, dx$ (that 1 is supposed to be negative; not sure if it is til I post the final answer). After the simplification we have the integral from -1 to 2 of $\sqrt{17}$ . Integrating that we have $AL= \sqrt{17}x$ from -1 to 2. $2 \sqrt{17}-(-1 \sqrt{17} )$ gives us $3 \sqrt{17}$ . Now we need to do the distance formula with this. But we need 2 coordinates for that. Our bounds are x=-1 and x=2. We will fill those x values in to the function and solve for y. When x = -1, y=4(-1)-5 and y = -9. So the point is (-1, -9). Doing the same with x = 2, y=4(2)-5 and y = 3. So the point is (2, 3). Use those in the distance formula accordingly: $d= \sqrt{(2-(-1))^2+(3-(-9))^2}$ which simplifies to $d= \sqrt{9+144}= \sqrt{153}$ . The square root of 153 can be simplified into the square root of 9*17. Pulling out the perfect square of 9 as a 3 leaves us with $3 \sqrt{17}$ . And there you go!

5 0

2 years ago

En un hospital el 30 % de los pacientes que acuden de manera diaria presentan problemas cardíacos. Si un día acuden al hospital

juin [17]

Answer:

21 pacientes tienen problemas cardíacos de los 70 pacientes diagnosticados

Step-by-step explanation:

Paciente con problema cardíaco del total de pacientes diagnosticados = 30%

Total de pacientes que van al hospital en un día = 70

El total de pacientes con problemas cardíacos entre los 70 pacientes diagnosticados es

30% de 70 = 30/100 * 70 = 21

6 0