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3 years ago

Convert to decimal 5 3/7

Mathematics

2 answers:

ASHA 777 [7]3 years ago

8 0

5 3/7<span> = 5.428571428571429 or 5.43</span>

sweet [91]3 years ago

4 0

5 3/7...

the 5 is the whole number, it goes to the left of the decimal
3/7 = 0.43 (thats rounded)...this goes to the right of the decimal

5.43 <==

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if every child took 12 apples,there would be three left.if each childtook 9 apples,there would be 21 apples left how many apples

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Multiples of 12 : 12 , 24 , 36 , 42 , 60 , 72 , 84 , 96 , 108 , 120
3 left (+3) : 15 , 27 , 39 , 45 , 63 , 81 , 87 , 99 , 111 , 123

Multiples of 9 : 09 , 18 , 27 , 36 , 45 , 54 , 64 , 72 , 81 , 90
21 left (+21) : 30 , 39 , 48 , 57 , 66 , 75 , 85 , 93 , 102, 111

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Answer : There are 111 apples
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3 years ago

A cylinder and a cone have the same volume. The cylinder has radius x and height y. The cone has radius 1/3x. Find the height of

Temka [501]

Great question! I had this question in Geometry on Edmentum.

Answer: Height of cone = 3y

Step-by-step explanation:

We know that the cylinder and the cone have the same volume. The cylinder has radius x and height y. We will make use of the formulas:

Volume of cylinder = πr²h

Volume of cone = 1/3πr²h

Since the cone has radius 1/3x, we will have to make its height 3 times of y (the height of the cylinder) to make both the cylinder and the cone have the same volume.

So, the height of the cone is equal to 3y.

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Austin keeps a right conical basin for the birds in his garden as represented in the diagram. The basin is 40 centimeters deep,

Lina20 [59]

The shortest distance between the tip of the cone and its rim exits 51.11cm.

<h3>What is the shortest distance between the tip of the cone and its rim?</h3>

If you draw a line along the middle of the cone, you'd finish up with two right triangles and the line even bisects the angle between the sloping sides. The shortest distance between the tip of the cone and its rim exists in the hypotenuse of a right triangle with one angle calculating 38.5°. So, utilizing trigonometry and allowing x as the measurement of the shortest distance between the tip of the cone and its rim.

Cos 38.5 = 40 / x

Solving the value of x, we get

Multiply both sides by x

$$\cos \left(38.5^{\circ}\right) x=\frac{40}{x} x$

$$\cos \left(38.5^{\circ}\right) x=40$

Divide both sides by $\cos \left(38.5^{\circ}\right)$

$$\frac{\cos \left(38.5^{\circ}\right) x}{\cos \left(38.5^{\circ}\right)}=\frac{40}{\cos \left(38.5^{\circ}\right)}$

simplifying the above equation, we get

$$x=\frac{40}{\cos \left(38.5^{\circ}\right)}$

x = 51.11cm

The shortest distance between the tip of the cone and its rim exits 51.11cm.

To learn more about right triangles refer to:

brainly.com/question/12111621

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