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3 years ago

9

A cube with a surface area of 150 square centimeters is shown. Eight cubes like the one shown are combined to create a larger cu

be. What is the volume, in cubic centimeters, of the new larger cube?

1 answer:

damaskus [11]3 years ago

8 0

Answer:

1000 cubic centimeters

Step-by-step explanation:

150 / 6 = 25

Square root of 25 = 5

5 * 2 = 10

10 * 10 * 10 = 1000 cubic centimeters

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Klio2033 [76]

Simplify the following:n^6/n^2
Combine powers. n^6/n^2 = n^(6 - 2):n^(6 - 2)
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3 years ago

A rectangle prism has a length of 3 1/2 inches a width of 5 inches and height of 1 1/2 inches what is the volume

vivado [14]

Answer:

Step-by-step explanation: I hope that helps you.

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3 years ago

You are using the equation 4(p – 7) = 44 to determine how many pictures can be saved at one time to the photo stream on your cel

OverLord2011 [107]

Answer:

p = 18

Step-by-step explanation:

4(p-7) = 44

The operations in order are to distribute first, 4p - 28 = 44

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and divide for the answer, p = 18

P stands for pictures, the number of pictures that can be saved to your photo stream at once is 18.

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2 years ago

collect data (in decibels) of 10 different things in term of loudness. Arrange the data in ascending order & find mean, medi

ss7ja [257]

Whisper-20dB
Quiet Residence-30dB
Soft stereo in Residence-40dB
Average Speech-60dB
Cafeteria-80dB
Pneumatic Jackhammer-90dB
Loud crowd noise-100dB
Accelerating Bike-100dB
Rock concert-120dB
Jet Engine (75 ft away)-140dB

(1)Mode=100dB (since 100 is occurring the maximum no. of times, i.e. it has the highest frequency of 2)
(2)Mean=sum of observations/Total number of observations
=(20+30+40+60+80+90+100+100+120+140)/10
=770/10=10dB
(3)Median= 1/2[{n/2}th observation + {(n/2)+1}th observation], where, n=total no. of observations
So, 1/2[{10/2}th observation + {(10/2)+1}th observation]
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4 years ago

An acute angle in one right triangle has the same measure as an acute angle in another right triangle. Name the theorem or postu

Stolb23 [73]

Answer:

Step-by-step explanation:

Right Triangle Similarity

Acute Angle Similarity

If one of the acute angles of a right triangle is congruent to an acute angle of another right triangle, then by Angle-Angle Similarity the triangles are similar.

In the figure, ∠M≅∠Y , since both are right angles, and ∠N≅∠Z .

So, ΔLMN∼ΔXYZ .

Leg-Leg Similarity

If the lengths of the corresponding legs of two right triangles are proportional, then by Side-Angle-Side Similarity the triangles are similar.

In the figure, ABPQ=BCQR .

So, ΔABC∼ΔPQR .

Hypotenuse-Leg Similarity

If the lengths of the hypotenuse and a leg of a right triangle are proportional to the corresponding parts of another right triangle, then the triangles are similar. (You can prove this by using the Pythagorean Theorem to show that the third pair of sides is also proportional.)

In the figure, DFST=DESR .

So, ΔDEF∼ΔSRT .

Taking Leg-Leg Similarity and Hypotenus-Leg Similarity together, we can say that if any two sides of a right triangle are proportional to the corresponding sides of another right triangle, then the triangles are similar.

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3 years ago