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NikAS [45]
3 years ago
10

20 points / WILL GIVE BRAINLIEST

Mathematics
1 answer:
valkas [14]3 years ago
6 0

Answer:

Total Volume =  15π + 18 π= 33π cubic mm

Step-by-step explanation:

What is the volume of the composite figure? Leave the answer in terms of π.

_33π mm3

We have a cone here conjoined to a semi-sphere.

so

Cone volume:  C = (1/3)*(πr^2) * h

semi-sphere volume :  V = (1/2)* (4/3) * (π * r^3)

r = 3 mm  and  h = 5mm

so   C = (1/3)*(π  (3)^2) * 5 =  15π  cubic mm

V = (1/2)* (4/3) * (π * 3^3) = 18 π cubic mm

Total Volume =  15π + 18 π= 33π cubic mm

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Find the increase in price of a single piece of design, when crafts design price is increased by 45% which makes a buyer to buy
Volgvan

Answer: Original price = $43.10, Increase = $19.40, Final price = $62.50

<u>Step-by-step explanation:</u>

Let x represent the original price, then

8x(1.45) < $500

x

x < $43.10

Increase is 0.45x

0.45($43.10)

= $19.40

Final price is Original + Increase

$43.10 + $19.40

= $62.50

8 0
4 years ago
Kiran has 10 1/2 feet of lumber and wants to make a bookshelfKiran needs two side panels that are each 5 2/3 feet. How much more
eimsori [14]

Total height of lumber, H = 10 1/2 feet = 21/2 feet .

Height of side panel, h = 5 2/3 feet = 17/3 feet .

Now,

Extra lumber required, L = 2 × Height of side panel - Total height of lumber

L=[2\times (\dfrac{17}{3})]-\dfrac{21}{2}\\\\L = \dfrac{5}{6}\ feet

Therefore, extra lumber required is \dfrac{5}{6} feet.

Hence, this is the required solution.

4 0
3 years ago
You are looking at a computer printout of 100 test scores, which have been converted to standard units. The first 10 entries are
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Answer:

You are looking at a computer printout of 100 test scores, which have been converted to standard units. The first 10 entries are - 3.1 2.4 0.18 0.56 0.32 0.74 0.99 0.0244 3.7. Does the printout look reasonable, or

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The mean length of 5 childrens' index finger is 5.6cm.
Brilliant_brown [7]

The mean length (rounded to 2 DP) of these 8 people's index finger is 5.83

<h3>What is the mean length (rounded to 2 DP) of these 8 people's index finger?</h3>

The given parameters are:

<u>Children</u>

Mean = 5.6 cm

Frequency = 5

<u>Adult</u>

Mean = 6.2 cm

Frequency = 3

The mean length of these 8 people's index finger is calculated as:

\bar x = \frac{\sum fx}{\sum f}

So, we have

Mean = (5.6 * 5 + 6.2 * 3)/(5 + 3)

Evaluate

Mean = 5.83

Hence, the mean length (rounded to 2 DP) of these 8 people's index finger is 5.83

Read more about mean at

brainly.com/question/20118982

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7 0
2 years ago
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