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Nookie1986 [14]
2 years ago
5

Calculate volume with fractional edge lengths

Mathematics
1 answer:
jeyben [28]2 years ago
4 0

Answer:

8/27 m^3

Step-by-step explanation:

Vol = l × w × h

= 2/3 × 2/3 × 2/3

= 2×2×2 / 3×3×3

= 8/27 m^3

When you're multiplying fractions, just multiply

top × top × top

And bottom×bottom×bottom

Simplify when possible.

8/27 cannot be simplified.

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Find the value of each variable help fast
Leviafan [203]

Answer:

a=10\sqrt{3}\ units,b=5\sqrt{3}\ units,c=15\ units,d=5\ units

Step-by-step explanation:

see the attached figure with letters to better understand the problem

step 1

Find the value of b

In the right triangle BCD

sin(60\°)=\frac{b}{10}

b=sin(60\°)(10)

Remember that

sin(60\°)=\frac{\sqrt{3}}{2}

so

b=\frac{\sqrt{3}}{2}(10)

b=5\sqrt{3}\ units

step 2

Find the value of d

In the right triangle BCD

cos(60\°)=\frac{d}{10}

d=cos(60\°)(10)

Remember that

cos(60\°)=\frac{1}{2}

so

d=\frac{1}{2}(10)

d=5\ units

step 3

Find the value of a

In the right triangle ABD

sin(30\°)=\frac{b}{a}

a=\frac{b}{sin(30\°)}

Remember that

sin(30\°)=\frac{1}{2}

b=5\sqrt{3}\ units

so

a=\frac{5\sqrt{3}}{(1/2)}

a=10\sqrt{3}\ units

step 4

Find the value of c

In the right triangle ABD

cos(30\°)=\frac{c}{a}

c=(a)cos(30\°)

Remember that

cos(30\°)=\frac{\sqrt{3}}{2}

a=10\sqrt{3}\ units

substitute

c=(10\sqrt{3})\frac{\sqrt{3}}{2}

c=15\ units

therefore

a=10\sqrt{3}\ units

b=5\sqrt{3}\ units

c=15\ units

d=5\ units

3 0
3 years ago
“Calculate the lengths of the 2 unlabeled sides”
Tpy6a [65]

Answer:

NL = 4.33

NM = 5

Step-by-step explanation:

tan 60° = NL/2.5

tan 60° = 1.7321

so:

1.7321 = NL/2.5

NL = (2.5)(1.7321)

NL = 4.33

cos 60° = 2.5/NM

cos 60° = 0.5

so:

0.5 = 2.5.NM

NM = 2.5/0.5

NM = 5

8 0
3 years ago
Do these three segments make a right triangle? 16m, 30m, and 34m
tekilochka [14]

Answer:

it is a right triangle

Step-by-step explanation:

i have no explanation my sister told me with no explanation sorry

3 0
3 years ago
Read 2 more answers
If sahra got 60 eggs, how many dozens is that?
shusha [124]
Sahra has 5 dozen eggs

60/12=5
4 0
3 years ago
5+5+10+10+20+15-13+17
Pavel [41]
95 is the right answer
7 0
3 years ago
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