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Marizza181 [45]
3 years ago
10

Find the size of angle xyz give your answer to 3 significant figures

Mathematics
1 answer:
KengaRu [80]3 years ago
8 0

Answer:

<u>68.2°</u>

Step-by-step explanation:

This is a right triangle, so we can use SIN,COS,TAN to solve for the angle.

We want ∠YXZ

THe side opposite to the angle is given as 20

The side adjacent to the angle is given as 8

Which trig ratio relates "opposite" and "adjacent"??

It is Tan!!

Thus, we can write:

Tan(\angle YXZ)=\frac{20}{8}\\Tan(\angle YXZ)=\frac{5}{2}\\Tan(\angle YXZ)=2.5\\\angle YXZ = ArcTan(2.5)\\\angle YXZ = 68.2

THis is the angle

<u>68.2°</u>

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Monica sells lemonade over the summer and uses conical paper cups to serve
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Answer: She would need 206 paper cups.

Step-by-step explanation: First of all, Monica has a 10-gallon container full of lemonade and this translates into 37850 cubic centimetres volume of lemonade. The conversion rate has been provided as one gallon equals 3785 cubic centimetres, therefore ten gallons would be 3785 times ten which gives you 37,850 cubic centimetres of lemonade.

Each cone shaped paper cup has a diameter measuring 8 centimetres and 11 centimetres in height. The radius of the cone shaped cup therefore is 4 centimetres (radius equals diameter divided by two). The volume of each cup therefore is given as;

Volume of a cone = (πr²h)/3

Volume of a cone = (3.14 * 4² * 11)/3

Volume of a cone = 552.64/3

Volume of a cone = 184.2

If each cone could hold 184 cubic centimetres of lemonade, then the entire ten gallons would require the following number of cone shaped cups;

Number of cups = Total volume/Volume of a cup

Number of cups = 37850/184.2

Number of cups = 205.48

Rounded to the nearest whole number, this becomes

Number of cups ≈ 206

Therefore Monica would need 206 cone shaped paper cups to empty the entire 10 gallons of lemonade.

4 0
3 years ago
The volume code of a cube is given by s to the third power, where s is this side length of the cube. What is the difference of t
yKpoI14uk [10]

Answer:

61 m^3

Step-by-step explanation:

The difference in volume is (5 m)^3 - (4 m)^3, or (125 - 64) m^3, or

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3 years ago
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ruslelena [56]

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Step-by-step explanation:

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Quantity of gasoline needed by a car to run 800 miles = 30 gallons

Quantity of gasoline needed by a car to run 1 mile =

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To run 700 miles the quantity of gasoline needed =

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Therefore , a car will use 26.25 gallons of gasoline on a trip of 700 miles .

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Marysya12 [62]

Answer:

3/7

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(# yellow)/(total #) = 135/315 = 3/7

The probability that a randomly chosen flower will be yellow is 3/7.

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