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kumpel [21]
2 years ago
11

Ayasha and Michael draw cubes. Each side of Ayasha cube has a length of 7 m each side of Michael's cube has a link that is doubl

e the length of Ayasha cube compare the surface areas of the cubes
Mathematics
1 answer:
kolbaska11 [484]2 years ago
7 0

9514 1404 393

Answer:

  Michael's cube has 4 times the surface area of Ayasha's cube

Step-by-step explanation:

When linear dimensions of similar figures are scaled by a factor k, their surface areas are scaled by the factor k², and their volumes are scaled by the factor k³.

Here, Michael's cube is 2 times the length of Ayasha's cube, so the surface area of his cube will be 2² = 4 times the surface area of Ayasha's cube.

_____

The surface area of the cube is ...

  A = 6s²

so Ayasha's cube has an area of ...

  A = 6(7 m)² = 294 m²

Michael's cube has an area of ...

  A = 6(2·7 m)² = 4·294 m² = 1176 m²

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What is the fourth row of Pascal’s triangle?
Anna [14]

Answer:

14641

Step-by-step explanation:

formular \: for \: the \: digits \: in \: each \\ row \: of \: a \: pascal \: triangle \: is \:  = 11 {}^{n}  \\ row \: 0 =  \: 11 {}^{0}  = 1 \:  \\ row \: 1 \:  = 11 {}^{1}  = 11 \\ row \:  \: 2 \:  = 11 {}^{2}  = 121 \\ row \: 3 =  \: 11 {}^{3}  = 1331  \\ row \: 4 = 11 {}^{4}  = 14641 \\ therefore \: the \: fourth \: row \: is \: 14641

4 0
1 year ago
If a bird is on the ground, 7 ft away from a 10 ft tall tree, then what is the angle (to the
iren2701 [21]

Answer:

The angle is 55°

Step-by-step explanation:

To find the angle at which a bid is looking up on top of a tree that is 10feet tall if the bird is on the ground 7 feet away from the tree, we will follow the steps below:

we will use trigonometric ratio to find the angle

SOH CAH TOA

sinФ = opposite / hypotenuse

cosФ = adjacent / hypotenuse

tanФ = opposite /adjacent

from the diagram below, opposite = 10 feet   and   adjacent = 7 feet

the best trig.ratio to use is tan

tanФ = opposite /adjacent

tanФ = 10 /7

tan Ф =1.42857

to get the value of  Ф, we will take the tan⁻¹  of both-side

tan⁻¹ tan Ф = tan⁻¹ 1.42857

Ф= tan⁻¹ 1.42857

Ф≈55°

Therefore, the angle is 55°

4 0
3 years ago
IR = V (solve for R) *
VashaNatasha [74]

Answer:

R = \frac{V}{I}

Step-by-step explanation:

IR = V ( isolate R by dividing both sides by I )

R = \frac{V}{I}

6 0
2 years ago
Find the sum of -4 and -3
WINSTONCH [101]
-4 + -3 = -7 Hope this helps!
4 0
3 years ago
Read 2 more answers
3x+5y=-3 x-5y=-5 show your work
frez [133]
We are given the equations 3x+5y=-3 and x-5y=-5.

Both equations have a 5y  term which allows us to easily solve the system by elimination. To do so we will add the equations together like a simple addition problem by adding the x terms together, the y terms together, and the integer answers together.

3x + 5y = -3
+x - 5y = -5
---------------
4x + 0y = -8

The y terms cancel out since one is positive and one is negative. Now we can solve for x.

4x = -8

\frac{4x}{(4)} = \frac{-8}{(4)}

x = -2

Now plug -2 in for x in one of the original equations to find y.

(-2) - 5y = -5

-5y = -3

y = 3/5

Our answer as an ordered pair is (2, 3/5)
6 0
2 years ago
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