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miv72 [106K]
3 years ago
9

What is the volume of the triangular prism below?

Mathematics
2 answers:
yanalaym [24]3 years ago
5 0

Answer:

volume = cross section area × length

1/2 ×2.5 × 0.667 × 3

volume = 2.50 ft

Art [367]3 years ago
4 0
2.50 feet is the answer
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Find the coordinates of point Q that is 2/3 of the way along the directed segment from R(-7,-2) to S(2,4)
Eva8 [605]

The coordinates of point Q that is 2/3 of the way along the directed segment from R(-7,-2) to S(2,4) is (\frac{-17}{5} ,\frac{2}{5} )

Explanation :

the coordinates of point Q that is 2/3 of the way along the directed segment from R(-7,-2) to S(2,4)

Apply section formula to find coordinates of point Q

(\frac{mx_2+nx_1}{m+n} , \frac{my_2+ny_1}{m+n} )

Ratio m:n is 2:3 and point R is (x1,y1) , point S is (x2,y2)

Substitute all the values inside the formula

(\frac{2(2)+3(-7)}{2+3} , \frac{2(4)+3(-2)}{2+3} )\\\\(\frac{-17}{5} ,\frac{2}{5} )

The coordinates of point Q is (\frac{-17}{5} ,\frac{2}{5} )

Learn more :  brainly.com/question/13878373

7 0
3 years ago
The Pythagorean Theorem
PilotLPTM [1.2K]

Answer:

a²+b²=c²

Step-by-step explanation:

a= side of right triangle

b= side of right triangle

c= hypotenuse

5 0
4 years ago
Read 2 more answers
Explain for both problems and tell me the work that comes with it please and thank you
Anton [14]

Problem 33

Use the distributive property on the side containing parentheses of each expression and compare it to the other side.

a) 3(5a + 3) = 15a + 9 not equal to 15a + 6

b) 2(7b - 2) = 14b - 4 not equal to 14b + 4

c) 5(2c + 3) = 10c + 15 not equal to 7c + 8

d) 3(d + 5/3) = 3d + 5 which is equal to 3d + 5

Answer for problem 33: d)

Problem 34

Use a proportion. Let the unknown number of bowls be x. The proportion is made up of two ratios that are set equal to each other. Set each ratio as a ratio of the number of avocados per bowls of guacamole. 3 avocados per 1 bowl (3/1) equals 17 avocados per x bowls (17/x).

\dfrac{3}{1} = \dfrac{17}{x}

3x = 17 \times 1

3x = 17

x = \dfrac{17}{3}

x = 5 \dfrac{2}{3}

Answer: 17/3 full bowls which is the same as 5 2/3 full bowls.

3 0
3 years ago
What is the value of w?
Nonamiya [84]

Answer:

17

Step-by-step explanation:

4w = w + 51

3w = 51

w = 51 : 3

w = 17

4 0
2 years ago
3. NASA launched the Voyager spacecraft with a mission to observe Jupiter and Saturn. In 1990,
makkiz [27]

The linear function that calculates the expected distance from the sun of the Voyager-2 spacecraft in x years after 1990 is given by:

y = 3.3x + 30.6.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, we have that the distance increases 33 AU each 10 years, hence the slope is given by:

m = 33/10 = 3.3.

Hence:

y = 3.3x + b.

When x = 28, y = 123, hence we use it to find b as follows:

123 = 3.3(28) + b

b = 30.6.

Hence equation to calculate the expected distance from the sun of the Voyager-2 spacecraft in x years after 1990 is given by:

y = 3.3x + 30.6.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

5 0
2 years ago
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