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Sholpan [36]
3 years ago
12

1. Find the capacity in litres of a bucket 24cm in

Mathematics
1 answer:
Sav [38]3 years ago
8 0

Answer:

6.36l

Step-by-step explanation:

We compute first the volume:

V=pi×h/3×(R²+r²+rR), where h=20cm is the height, R=24/2=12cm is the top radius, r=16/2=8cm is the bottom radius.

We get: V=pi×20/3(12²+8²+12×8)=

20×pi/3(144+64+96)cm³

V=20×pi/3×304=6363.73cm³

In dm³ we have (divide by 1000) V=6.36dm³

By definition, 1dm³=1l, so the capacity is 6.36l

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Given:
Masja [62]

Answer:

9

Step-by-step explanation:

By joining N to L, you will have a right angled triangle which is right angle at N. Then r^2+36=(3+x)^2. r=9/2. PQ=2r=9

8 0
3 years ago
6.
Rudik [331]

Answer:

  (a)  169.1 m

Step-by-step explanation:

The diagram shows you the distance (x) will be shorter than 170 m, but almost that length. The only reasonable answer choice is ...

  169.1 m

__

The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

The leg of the right triangle adjacent to the marked angle is x, and the hypotenuse is 170 m. Putting these values into the equation, you have ...

  cos(6°) = x/(170 m)

  x = (170 m)cos(6°) ≈ (170 m)(0.994522) ≈ 169.069 m

The horizontal distance covered is about 169.1 meters.

_____

<em>Additional comment</em>

Expressed as a percentage, the slope of this hill is tan(6°) ≈ 10.5%. It would be considered to be a pretty steep hill for driving.

5 0
2 years ago
What is the product of -2 1/4 and 4 1/2
solmaris [256]
The answer would be <span>-10.125</span>
5 0
3 years ago
Read 2 more answers
A computer repairman charges $30 to come to a home or office , plus $22 per hour of work.During one week, he visits 15 homes or
timofeeve [1]
31 hours.
first I times $30 by 15, an I got 450, then I got 1132 and took away 450 and I got 682, finally I divide 682 by 22 and got 31
3 0
3 years ago
Which equation is equivalent to the given equation? x^2+16x=22
Vaselesa [24]

Answer:answer is a (x+8)^2=86

Step-by-step explanation:

x+8=±√

​86

​

​​

2 Break down the problem into these 2 equations.

x+8=\sqrt{86}x+8=√

​86

​

​​

x+8=-\sqrt{86}x+8=−√

​86

​

​​

3 Solve the 1st equation: x+8=\sqrt{86}x+8=√

​86

​

​​ .

x=\sqrt{86}-8x=√

​86

​

​​ −8

4 Solve the 2nd equation: x+8=-\sqrt{86}x+8=−√

​86

​

​​ .

x=-\sqrt{86}-8x=−√

​86

​

​​ −8

5 Collect all solutions.

x=\sqrt{86}-8,-\sqrt{86}-8x=√

​86

​

​​ −8,−√

​86

​

​​ −8

x

​2

​​ +16x−22=0

2 Use the Quadratic Formula.

x=\frac{-16+2\sqrt{86}}{2},\frac{-16-2\sqrt{86}}{2}x=

​2

​

​−16+2√

​86

​

​​

​​ ,

​2

​

​−16−2√

​86

​

​​

​​

3 Simplify solutions.

x=-8+\sqrt{86},-8-\sqrt{86}x=−8+√

​86

​

​​ ,−8−√

​86

​

​​

6 0
3 years ago
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