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kupik [55]
2 years ago
11

Mr. Petrov was trying to choose between two different plans for dollhouses for his daughter. Both dollhouses have a rectangular

prism base with a length of 6 inches, width of 6 inches, and height of 5 inches. Dollhouse 1 has a triangular prism top. The triangular base has a base of 6 inches and height of 4 inches. The prism has a height of 6 inches. Dollhouse 2 has a square pyramid top with a base of 6 inches by 6 inches and height of 4 inches. Which statements are true about the dollhouses? Select three options. The space inside dollhouse 1 can be found using the equation V = 6 (6) (5) + one-half (6) (6) (4). The space inside dollhouse 1 can be found using the equation V = 6 (6) (5) + one-third (6) (6) (4). The space inside dollhouse 2 can be found using the equation V = 6 (6) (5) + one-half (6) (6) (4). The space inside dollhouse 2 can be found using the equation V = 6 (6) (5) + one-third (6) (6) (4). The space inside dollhouse 1 is 24 inches cubed greater than the space inside dollhouse 2.
Mathematics
2 answers:
Dmitriy789 [7]2 years ago
7 0

Answer:

(4). The space inside dollhouse 1 is 24 inches cubed greater than the space inside dollhouse 2.

As the correct equation should add up to 192 dolls house 1 and 168 for dolls house 2; 192 -168 = 24 cubed inches.

Dolls house 1 =  6(6)(5) + one thirds of 6(6) =180+ 12 =192 cubed inches.not 334 as shown in equation 1

Dolls house 2 = should be V= 6(6)5 - one third of 6(6) = 180-12 =168 cubed inches not 188 as shown in equation 2

Where all the other listed answers in question are incorrect as they add up to 334 or 188.

Step-by-step explanation:

dh1+2 rectangle = 6 x 5 x 4 = 120

Volume of triangle

V = 0.5 X b X a X h. = 0.5 x 6 x 6 x 4 = 72sq^3 + 120-sq^3 = 192sq^3

Volume of the Pyramid/rectangle dh = lwh/3

= 6x6x4=144/3=48sq^3 +  120sq^3= V = 168sq^3

Both A + B = V= 192sq^3, B=168sq^3

To calculate the volume of a triangular prism, measure the width and height of a triangular base, then multiply the base by the height by 1/2 to determine the triangle's area. Next, measure the height of the triangular prism and multiply this by the triangle's area to get the volume.

To calculate the volume of a pyramid with a rectangular base, find the length and width of the base, then multiple those numbers together to determine the area of the base. Next, multiply the area of the base by the height of the pyramid. Take that result and divide it by 3 to calculate the pyramid's volume

Gnesinka [82]2 years ago
6 0

Answer:

A: The space inside dollhouse 1 can be found using the equation V = 6 (6) (5) + one-half (6) (6) (4).

D: The space inside dollhouse 2 can be found using the equation V = 6 (6) (5) + one-third (6) (6) (4).

E: The space inside dollhouse 1 is 24 inches cubed greater than the space inside dollhouse 2.

Step-by-step explanation:

ANSWERS ARE <u>A, D, E !!</u>

i just took it on EDGE 2020 - hope it helps :)

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Answer:

Anwers are top to bottom:

1.   y − 2,000 = 2,000 + 320x − 2,000

2.  division property of equality

3.    Y - 2000/320 = X

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7 0
2 years ago
Show all work to multiply (6+square root -64)(3-square root -16)
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Answer:

50

Step-by-step explanation:

- 8i = √-64

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- -4i = -√-16

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[8i + 6][-4i + 3] → FOIL

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>>> 32 + 18 = 50

Information on Imaginary Numbers

√-1 = i

-1 = i²

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7 0
2 years ago
Read 2 more answers
Kevin says that lines p and m will eventually intersect. Lines A and B intersect. Plane A contains lines p, m, and n. Line n is
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Answer:

No, because they are parallel.

Step-by-step explanation:

The lines p and m will not intersect, so Kevin is not correct.

It is given that planes A and B intersects. The plane A contains the line p, m and n on its plane. The lines p and m are parallel to each other. They are identical and move in the same direction.

Since the line p and m are parallel, they will not meet each other at any point because parallel lines does not intersect or meet at a point, they run parallelly along each other.

So, line p and m will not intersect.

Thus the answer is " No, because they are parallel."

8 0
2 years ago
You have just opened a new dance club, Swing Haven, but are unsure of how high to set the cover charge (entrance fee). One week
aliya0001 [1]

Answer:

q = -6p + 104

Step-by-step explanation:

Linear function:

A linear function has the following format:

q = mp + b

In which m is the slope and b is the q-intercept.

One week you charged $4 per guest and averaged 80 guests per night. The next week you charged $10 per guest and averaged 44 guests per night.

This means that we have these following points: (4,80), (10,44).

Finding the slope:

With a pair of points, the slope is given by the change in q divided by the change in p.

Change in q: 44 - 80 = -36

Change in p: 10 - 4 = 6

Slope: m = \frac{-36}{6} = -6

So

q = -6p + b

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We replace one of the points. Replacing (4,80).

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q = -6p + 104

7 0
2 years ago
16.A guidance counselor is planning schedules for 30 students. Sixteen students say they want to take French, 16 want to take Sp
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Answer:7

Step-by-step explanation:

This can be solved by Venn-diagram

Given there  are total 5 students who want french and Latin

also 3 among them want Spanish,french & Latin

i.e. only 2 students wants both french and Latin only.

Also Student who want only Latin is 5

Thus Student who wants Latin and Spanish both only is 11-5-3-2=1

Students who want only Spanish is 8 Thus students who wants Spanish and French is 4

Similarly Students who wants Only French is 16-4-3-2=7

8 0
2 years ago
Read 2 more answers
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