In ΔTUV, u = 17 cm, ∠T=11° and ∠U=103°. Find the length of t, to the nearest centimeter.
2 answers:
Answer:
3.33 cm
Step-by-step explanation:
We need to use the Law of Sines to solve this, which states that for a triangle with lengths a, b, and c and angles A, B, and C:
Here, we can say that a = 17, A = 103, and B = 11 and we want to find b:
b * sin(103) = 17 * sin(11)
b ≈ 3.33 cm
The answer is about 3.33 cm.
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Answer:
The mass of the second cube is about 1085.07 grams.
Step-by-step explanation:
I assume '1-2 cm' means 1.2cm here. Correct me if I am wrong and I'll edit my answer.
First, find the density of this cube:
where d is density, m is mass, and v is volume.
We have one of those, but we also need volume. The volume of a cube is just:
where a is the length of a side.
The volume of this cube is 1.728cm³. Now, you can find the density;
The density of this material is about 8.68 grams per cubic centimeter.
Finally, you can use that density to find the mass of the other cube. Fin the volume of the second cube:
The volume is 125cm³. Given the density and the volume, you can calculate the mass:
The mass of the second cube is about 1085.07 grams.
The water should fill the aquarium to 1.5 feet
Solution:
Given that the directions for the aquarium say that it should be filled with 9 cubic feet of water.
This means volume of aquarium is 9 cubic feet
Given that aquarium is 2 feet wide and 3 feet long
To find: Height of aquarium
Since a aquarium is in shape of cuboid, we can use the volume of cuboid formula
<em><u>The volume of cuboid is given as:</u></em>
volume of cuboid =
Where "l" is the length
w is the width
"h" is the height
Substituting the values, we get,
Thus the height of aquarium is 1.5 feet
So, we know both faucets open, can do the whole job in 6minutes
ok, how much has the faster cold water faucet done in 1minute then?
well, let's say the the rate of speed of the cold water faucet is "c", so in 1minute it has done 1/c of the whole work
now, we know the hot water faucet is slower, it takes it 3 times as long, that means is 1/3 the speed of the cold water faucet, so, how much does the hot water faucet do in 1min? well, we know is 1/3 fast as the cold one, the cold one is 1/c, what's 1/3 of 1/c? well, 1/3 * 1/c
now, we know they both added together, can do the whole job in 6 minutes, so in 1minute, they've done 1/6 of the job then
thus
ok, how much has the faster cold water faucet done in 1minute then?
well, let's say the the rate of speed of the cold water faucet is "c", so in 1minute it has done 1/c of the whole work
now, we know the hot water faucet is slower, it takes it 3 times as long, that means is 1/3 the speed of the cold water faucet, so, how much does the hot water faucet do in 1min? well, we know is 1/3 fast as the cold one, the cold one is 1/c, what's 1/3 of 1/c? well, 1/3 * 1/c
now, we know they both added together, can do the whole job in 6 minutes, so in 1minute, they've done 1/6 of the job then
thus