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2 years ago

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

Mathematics

1 answer:

erma4kov [3.2K]2 years 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

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At 8:30 A.M.., Briana started filling a 2,800-gallon pond. At 10:30 A.M., she had filled 1,400 gallons. At what time will the po

Sati [7]

Answer:

12:30 pm

Step-by-step explanation:

8:30 am pond is empty

10:30 am pound is 1,400 gallons full

time? pound is 2,800 gallons full

from 8:30 to 10:30 are 2 hours so the rate of filling up is

1,400 gallons in 2 hours

to have a whole pond filled we need another 2 hours because

in another 2 hours will have another 1,400 gallons so a pound full. 8:30 am + 2hours = 12:30 pm

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10:30 am pound is 1,400 gallons full

12:30 pm pound is 2,800 gallons full.

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

f^3+11g-4hf 3 +11g−4hf, cubed, plus, 11, g, minus, 4, h when f=3f=3f, equals, 3, g=2g=2g, equals, 2 and h=7h=7h, equals, 7.

Alik [6]

Given:

The expression is:

$f^3+11g-4h$

The given values are $f=3,\ g=2,\ h=7$ .

To find:

The value of the given expression for the given values.

Solution:

We have,

$f^3+11g-4h$

After substituting $f=3,\ g=2,\ h=7$ , we get

$f^3+11g-4h=(3)^3+11(2)-4(7)$

$f^3+11g-4h=27+22-28$

$f^3+11g-4h=49-28$

$f^3+11g-4h=21$

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2 years ago

Read 2 more answers

This table gives a few (x,y) pairs of a line in the coordinate plane

blagie [28]

Answer:

The x-intercept of the line is the point (12,0)

Step-by-step explanation:

step 1

Find the slope of the lime

Take the points

(22,36) and (32,72)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{72-36}{32-22}$

$m=\frac{36}{10}$

$m=3.6$

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=3.6$

$point (22,36)$

substitute

$y-36=3.6(x-22)$

step 3

Find the x-intercept

we know that

The x-intercept of a line is the value of x when the value of y is equal to zero

For y=0

substitute in the equation and solve for x

$0-36=3.6(x-22)$

$0-36=3.6x-79.2$

$3.6x=79.2-36$

$3.6x=43.2$

$x=12$

therefore

The x-intercept of the line is the point (12,0)

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3 years ago