All categories

1 year ago

Use a net to find the surface area of the right triangular prism shown:

Mathematics

1 answer:

erma4kov [3.2K]1 year ago

3 0

Answer:

256 ft²

Step-by-step explanation:

Net comprises: 2 equal triangles, 2 equal rectangles and 1 smaller rectangle

Area of a triangle = 1/2 x base x height

⇒ area of one triangle = 1/2 x 10 x 7 = 35 ft²

Area of a rectangle = width x length

⇒ area of larger rectangle = 6 x 12 = 72 ft²

⇒ area of smaller rectangle area = 6 x 7 = 42 ft²

⇒ Total area = (2 x 35) + (2 x 72) + 42 = 256 ft²

You might be interested in

(4x10^2) - (2x10^-1)

balandron [24]

Answer:

Step-by-step explanation:

The LCD here is 10.

Multiplying numerator and denominator of (4*10^2) by 10 results in:

40*10^3

-------------

and rewriting (2x10^-1) with positive exponent in the denominator results in:

---------

So, before simplification, this difference comes out to be:

40000 - 2 39998 19999

----------------- = ---------------- or ------------

10 10 5

7 0

3 years ago

Suppose that a dog, a goat, and a bag of tin cans are to be transported across a river in a ferry that can carry only one of the

Bingel [31]

Answer:

The task is explained in detail below.

Step-by-step explanation:

We know that a dog, a goat, and a bag of tin cans are to be transported across a river in a ferry that can carry only one of these three items at once (along with a ferry driver).

The driver will first transport the goat to the other shore and then return empty. Then they will take a bag of tin and transport it to the other shore, and then they will return with the goat to their original place.

Then he will leave the goat there and take a dog and carry it to the other shore and then return empty.

And eventually they will take the goat and transport it to the other shore.

4 0

2 years ago

Analysis of an accident scene indicates a car was traveling at a velocity of 69.5 mph (31.1 m/s) along the positive x-axis at th

STatiana [176]

We can find the acceleration via

${v_f}^2-{v_i}^2=2a\Delta x$

We have

$\left(5.20\dfrac{\rm m}{\rm s}\right)^2-\left(31.1\dfrac{\rm m}{\rm s}\right)^2=2a(115\,\mathrm m)$

$\implies\boxed{a=-4.09\dfrac{\rm m}{\mathrm s^2}}$

Then by definition of average acceleration,

$a_{\rm ave}=\dfrac{v_f-v_i}t$

so that

$-4.09\dfrac{\rm m}{\mathrm s^2}=\dfrac{5.20\frac{\rm m}{\rm s}-31.1\frac{\rm m}{\rm s}}t$

$\implies\boxed{t=6.33\,\mathrm s}$

We alternatively could have found the time without knowing the acceleration. Since acceleration is constant, the average velocity is

$v_{\rm ave}=\dfrac{x_f-x_i}t=\dfrac{v_f+v_i}2$

Then

$\dfrac{115\,\rm m}t=\dfrac{5.20\frac{\rm m}{\rm s}+31.1\frac{\rm m}{\rm s}}2$

$\implies\boxed{t=6.33\,\mathrm s}$

7 0

2 years ago

State 5.126 to two decimal places

Kryger [21]

Answer:

5.13

Step-by-step explanation:

Look at the number at the end, and if it's 5 or more, round up. the 6 is greater than or equal to 5, so you round up, dropping the six and making the 2 into a 3, giving you 5.13.

7 0

2 years ago

The net change for a certain stock is the dollar value change in the stock's closing price from the previous day's closing price

Natali [406]

-3 has the greatest absolute value.

7 0

3 years ago