All categories

2 years ago

Find the surface area and volume of the figure below. Round your answers to the nearest tenth. (50 pts)

Mathematics

1 answer:

nlexa [21]2 years ago

7 0

Answer:

Surface Area = 188.4 square yards
Volume = 216 cubic yards

Step-by-step explanation:

Finding the hypotenuse of the triangular side :

Applying Pythagorean theorem
√6² + 6²
√2 x 6²
6√2

Finding Surface Area :

Area (2 triangles) + Area (2 smaller rectangles) + Area (larger rectangle)
2 x 1/2 x 6 x 6 + 2 x 12 x 6 + 12 x 6√2
36 + 144 + 6√2
180 + 6√2
6 (30 + √2)
6 (30 + 1.4)
6 (31.4)
188.4 square yards

Finding Volume :

1/2LWH
1/2 x 12 x 6 x 6
6³
216 cubic yards

You might be interested in

I’ll give you BRAINLEST PLEASE HELP

ss7ja [257]

Answer:

Help with what?

Step-by-step explanation:

7 0

2 years ago

Kenny reads 4/9 page in 3/5 min. what is Kenny's unit rate? Step by step.

il63 [147K]

Answer:

The unit rate is $\frac{27}{20}\text{ page/minute}$

Step-by-step explanation:

Given : Kenny reads $\frac{4}{9}$ page in $\frac{3}{5}$ min.

To find : What is Kenny's unit rate?

Solution :

Kenny reads $\frac{4}{9}$ page in $\frac{3}{5}$ minute

This can be written as,

$\frac{4}{9}\text{ page}=\frac{3}{5}\text{ minute}$

Divide both side by $\frac{9}{4}$

$\frac{4}{9}\times \frac{9}{4}\text{ page}=\frac{3}{5}\times \frac{9}{4}\text{ minute}$

$1\text{ page}=\frac{27}{20}\text{ minute}$

The unit rate is $\frac{27}{20}\text{ page/minute}$

4 0

3 years ago

There are 4 consecutive even integers that add up to 268. Which integers are they?

xz_007 [3.2K]

Answer:

4n+ 12 = -268, or 4n = -280, or n = -70. This would imply that the four consecutive ODD integers are -70, -68, -66, -64.

Step-by-step explanation:

Hope this helps :)

4 0

3 years ago

Determine whether the events are independent (I) or dependent (D). Place your answer in the blank provided. 1. Ramiro draws a ma

Stels [109]

Answer:

Independent events

Step-by-step explanation:

Given that:

Ramiro draws a marble from a jar without replacement and then flips a coin

Let $E_1$ be the event that Ramiro draws a marble without replacement and;

Let $E_2$ be the event of flipping a coin.

Let's have an analogy so that we can better understand the concept of independent and dependent events.

Consider a random experiment in which a marble is drawn from a jar without replacement and a fair coin is flipped together.

The event $E_1$ does not in any way affect the event $E_2$ of a head or a tail showing up in a flip of a coin.

Therefore, we say that $E_1$ and $E_2$ are independent events.

Suppose the event $E_1$ affects or influence the event $E_2$ , then we can say they are dependent events.

4 0

3 years ago

PLEASE HELP FOR BRAINLIEST ANSWER!!!!!!!!

wel

X = 78 degrees

Explanation:
Using the alternate exterior angle of 33 degrees, the angle to the left of x would also be 33 degrees
Using this we add up 69 and 33 = 102
Then we would do 180-102 since a straight line has a total of 180 degrees
The answer would be 78 degrees

3 0

3 years ago