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kupik [55]
1 year 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]1 year 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]1 year 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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Lian invested an amount of money at an interest rate of 5.2% per year.
Zigmanuir [339]

Answer:

$6500

Step-by-step explanation:

Let the amount of money invested by Lian be $x

Interest rate = 5.2% per year

interest earned in first year will be  5.2% of  amount of money invested by Lian .

(note: since in first year there will be no interest accrued on interest so interest for first year is simple interest )

interest earned in one year if money invested by Lian is $x

= 5.2% of $x  (1)

But , it is given in one year  she received interest of 338 dollars

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equating $338 with  5.2% of $x  , we have

5.2% of x  = 338

=> (5.2/100) * x = 338

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7 0
1 year ago
susan took two tests.the probability of her passing both tests is 0.6.the probability of her passing the first test is 0.8.what
OverLord2011 [107]
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6 0
2 years ago
Solve for m:<br> -3(1 – 5m) = — 38 + 8m
Solnce55 [7]

Answer:

m = - 5

Step-by-step Explanation:

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3 0
1 year ago
Read 2 more answers
What is the answer please
Marina86 [1]
Hey there!

Use The Pythagorean theorem. It’s a^2+b^2=c^2. Plug in 11 and 60. The equation would be 11^2+60^2=c^2. Simplify to get 121+3600=c^2. Simplify again to get 3721=c^2. Sqaure root each side to get c=61. The answer is the last one, c=61.

I hope this helps!
8 0
2 years ago
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