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Viktor [21]
3 years ago
11

2 ways to decompose the number 749

Mathematics
1 answer:
kolezko [41]3 years ago
6 0
Okay. You can decompose 749 with these ways:
700 + 40 + 9
or
500 + 200 + 40 + 9
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What is the volume of a small cone if:
Amiraneli [1.4K]

Answer:

Volume of smaller cone =301.44

Step-by-step explanation:

First let angle of cone be\alpha.

then sin(\alpha ) = 3/5       (For bigger triangle)

Same cone angle is for smaller one because they are similar.

cos(\alpha ) = 4/5

Now for smaller cone radius be R

3/5 =R/Slant height

Slant height =5/3R

Lateral surface area =\frac{1}{2}R^{2}\beta  [R = slant height]  

Given lateral surface area =60\pi =\frac{1}{2}(\frac{5R}{3} )^{2} \beta   ...................................1

2\pi R=\frac{5R}{3}\beta        ................................................2

\beta=\frac{6\pi }{5}

Put angle beta in equation 1 and find the value of R

R =6 cm

Height =\frac{4R}{3}

Thus volume =\frac{1}{3}\pi6^{2}*8

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4 0
3 years ago
What is the value of y in the equation 4y – 2(1 – y) = –44?
LekaFEV [45]
Y=-7 use distributive property add like terms 


8 0
3 years ago
The perimeter of a rectangle is given by P equals 2 l plus 2 w. Find the width of a rectangle whose length is 35 and perimeter i
maks197457 [2]
2l + 2w = P
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5 0
3 years ago
Write an equation of the line below.
iVinArrow [24]

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5 0
2 years ago
Read 2 more answers
10. A weight hangs on a spring. The vibration period of that weight is the time in which it makes a complete cycle in motion. Su
Alenkinab [10]

The vibration period of the spring will be 0.2 seconds

<em><u>Explanation </u></em>

The relationship between the vibration period "T" (in seconds) and the weight "w" (in kilograms) is given by...

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Given that, the weight(w) = 2.0 kilograms

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T= 2\sqrt{\frac{2.0}{200} } \\ \\ T= 2\sqrt{\frac{1}{100} }\\ \\ T= 2*\frac{1}{10}\\ \\ T= \frac{1}{5}=0.2

So, the vibration period of the spring will be 0.2 seconds.

8 0
3 years ago
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