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lara31 [8.8K]
3 years ago
11

Work out the volume of a cuboid of edge 4cm by 4cm by 7cm

Mathematics
1 answer:
arsen [322]3 years ago
4 0
U times all them number together so it would be 4x4x7=112
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Find the values of x and y
zhuklara [117]

You can use a tangent:

tangent=\dfrac{opposite}{adjacent}

We have opposite = 17 and adjacent = x.

\tan30^o=\dfrac{\sqrt3}{3}

substitute:

\dfrac{17}{x}=\dfrac{\sqrt3}{3}       cross multiply

x\sqrt3=(3)(17)     multiply both sides by √3

x(\sqrt3)(\sqrt3)=51\sqrt3

3x=51\sqrt3      divide both sides by 3

x=17\sqrt3

Use the Pythagorean theorem:

y^2=(17\sqrt3)^2+17^2\\\\y^2=289(\sqrt3)^2+289\\\\y^2=289\cdot3+289\\\\y^2=867+289\\\\y^2=1156\to y=\sqrt{1156}\\\\y=34

-------------------------------------------------------------------------------------------------

Other method.

30^o-60^o-90^o triangle.

The sides are in the ratio 1:2:\sqrt3\to17:y:x

Therefore

17:(2\cdot17):(17\sqrt3)\to17:34:17\sqrt3\to x=34,\ y=17\sqrt3

 


4 0
4 years ago
Sara made a scale model of the Eiffel Tower in France. The actual height of the tower is 1063 feet. Sara's model used a scale in
Ipatiy [6.2K]

Answer:

Look for the bolded words ;'D

Step-by-step explanation:

The proportion setup would be 1/100=x/1063, since youre missing the inches from the actual model. By cross multiplying the equation to get 100x=1063, you'll now need to divide both sides of the equation by 100. This will get you 1063/100 inches, or you can get 10.63 inches by dividing 1063 by 100. You can also get 10 9/25 inches if you simplify the improper fraction...

....lol sorry for taking so long, but have a good day! :'D

8 0
3 years ago
Please help me answer this!!!
Ronch [10]
No srry if I wrong .......
3 0
3 years ago
A school organized an ecological outing with 132 students and 8 teachers. If you rent buses that have capacity for 36 passengers
Mice21 [21]

Answer:

Step-by-step explanation:

Sum

132 + 8 = 140

Divide

140 ÷ 36 = 3.8

Round to integers

4

Note: it is rounded to the integer because you cannot rent a truck part

5 0
3 years ago
Evaluate the expression x/2+5x−7 when x=2 .
LenaWriter [7]

Answer:

The Answer is 4

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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