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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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(x+5)(x+1)+(x+5)(x+8)
gtnhenbr [62]

Answer:

2x² + 19x + 45

Step-by-step explanation:

(x + 5)(x + 1) + (x + 5)(x + 8) ← expand both sets of factors using FOIL

= x² + 6x + 5 + x² + 13x + 40 ← collect like terms

= 2x² + 19x + 45

5 0
2 years ago
Andre has enough to fill 3500 in.3.. he decides to change the length of the step so that he will use all of the cement. What wil
Mrac [35]

Answer:

43.75 inches or 43 and 3/4 inches.

Step-by-step explanation:

Ok, thanks for the complement of information.

So, to find the volume of that step, which is a rectangular prism, we would use the simple formula:

V = length *  width * height

In this case, we have the total volume (3,500 cu in), we have the width (10 inches)  and we have the height (8 inches).  But we need to find out the new length in order for him to use all 3,500 cu in of cement.

So, we transform the formula above into:

length = V / (width * height)

then we plug-in the numbers:

length = 3,500 / (8 x 10) = 3,500 / 80 = 43.75

So, the new length of the step would be 43.75 inches or 43 and 3/4 inches.

7 0
3 years ago
(5.2x + 36.4x + 52)/ (2.6x +13)
g100num [7]
Combine like terms in the first set and get
41.6x +52/2.6x + 13

I got 16x + 4
4 0
3 years ago
The sales tax rate is 9 1/2%. Estimate the tax on a $9.98 purchase. How did you arrive at your answer?
stepladder [879]
$9.98 * 1.095 = (that is tax; for ex. if it was 23.6 percent tax it would be 1.236)

<u><em>$10.93</em></u>

6 0
3 years ago
What is the answer for pie in math
salantis [7]

Answer:

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5 0
3 years ago
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