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dalvyx [7]
3 years ago
13

Need help on both these questions please thank you

Mathematics
1 answer:
Elena L [17]3 years ago
8 0
Remember that the volume of a cone is 1/3 \pi r^2h
Thus;

1. 2^2 = 4
4pi(7) = 28pi
28/3 = 9 \frac{1}{3}
ANS = 9 \frac{1}{3}  \pi or ~29.32

2. d = 18, r = 9
9 ^ 2 = 81
81pi (18) = 1458pi
1458 / 3 = 486
ANS = 486 \pi or ~1526.81

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What does is the value of x in this problem
nekit [7.7K]

Answer:

the value of x is 90.....

3 0
3 years ago
Company A had a loss of $255 in January. Company B had a profit of $162 in January. What was the difference between the profits
Julli [10]

Answer:

The difference of the profit of two companies is $ 417

Step-by-step explanation:

Given as :

The company A loss amount in January = $ 255

The company B profit amount in January = $ 162

Let the difference between there profits = x

So, x = company B profit - ( company A profit)

I.e x = company B profit - ( - company A loss)

Or, x = $ 255 + $162

∴   x = $ 417

Hence The difference of the profit of two companies is $ 417  . Answer

6 0
3 years ago
Can you solve 5a please greatly appreciated.
timurjin [86]
Part I)
 
The module of vector AB is given by:
 lABl = root ((- 3) ^ 2 + (4) ^ 2)
 lABl = root (9 + 16)
 lABl = root (25)
 lABl = 5

 Part (ii)
 The module of the EF vector is given by:
 lEFl = root ((5) ^ 2 + (e) ^ 2)
 We have to:
 lEFl = 3lABl
 Thus:
 root ((5) ^ 2 + (e) ^ 2) = 3 * (5)
 root ((5) ^ 2 + (e) ^ 2) = 15
 Clearing e have:
 (5) ^ 2 + (e) ^ 2 = 15 ^ 2
 (e) ^ 2 = 15 ^ 2 - 5 ^ 2
 e = root (200)
 e = root (2 * 100)
 e = 10 * root (2)
3 0
3 years ago
2. In a given country, records show that of the registered voters, 45% are Democrats, 35% are Republicans, and 20% are independe
Kitty [74]

Answer:

P(R) = 0.14

P(I) = 0.16

P(D) = 0.315

Step-by-step explanation:

Let Democrat = D

Republican = R

Independent = I

If 45% are Democrats, 35% are Republicans, and 20% are independents, then

Total registered voters = 100

 In an election, 70% of the Democrats, 40% of the Republicans, and 80% of the independents voted in favor of a parks and recreation bond proposal. That is,

D = 0.7 × 45 = 31.5

R = 0.4 × 35 = 14

I = 0.8 × 20 = 16

 If a registered voter chosen at random is found to have voted in favor of the bond, what is the probability that the voter is

a Republican:

P(R) = 14 /100 = 0.14

an Independent

P(I) = 16/100 = 0.16

a Democrat

P(D) = 31.5/100 = 0.315

6 0
3 years ago
Out of a salary of $4500, I kept 1/3 as savings. Out of the remaining money, I spend 50% on food and 20% on house rent. How much
jeka94

Answer:

$2100

Step-by-step explanation:

1/3 of 4500 is 1500

to find 1/3 of a number is to multiply by 1/3

1/3 * 4500 = 1500

$1500 is for savings

subtract 1500 from 4500

4500 - 1500 = 3000

the remaining money is $3000

to find 50% of something, divide by 2

3000/2 = 1500

$1500 is spent on food.

20% of 3000 is 600

to find 20% of something, multiply the decimal value (0.2)

0.2 * 3000 = 600

$600 are spent on rent.

$450 leftover

1500 + 600 = 2100

Food and rent cost $2100

hope this helps:)

3 0
2 years ago
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