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2 years ago

Find the volume of the figure h=9.5', r=1.8'

Mathematics

1 answer:

erik [133]2 years ago

6 0

Answer:

Volume=96.7

Step-by-step explanation:

V=πr^2h=

V=π·1.8^2·9.5=

96.69822

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The sum of two rational numbers of 63, and their difference is 12? What are the numbers?

VladimirAG [237]

Answer:

The two numbers are 37.5 and 25.5

Step-by-step explanation:

Comment

Let the two numbers be x and y

Equations

x + y = 63

x - y = 12

Solution

Add the two equations. The ys cancel out.

2x = 75 Divide by 2

2x/2 = 75/3 Do the division

x = 37.5

Now use one of the given equations to solve for y

x + y = 63

x = 37.5

37.5 + y = 63 Subtract 37.5 from both sides

37.5-37.5+y= 63 - 37.5 Collect the like terms on both sides

y = 25.5

Check

x - y =? 12

37.5-25.5 =? 12

12 = 12

3 0

4 years ago

PLEASE HELP IM GIVING BRAINLIEST one thing that's for sure its not C) 5 2/9

Tanzania [10]

Answer:

D) 5 4/9

Step-by-step explanation:

$\frac{19}{9}+(\frac{-2}{9})+\frac{32}{9}\\\frac{19-2}{9}+\frac{32}{9}\\\frac{17+32}{9}=\frac{49}{9}=5\frac{4}{9}$

4 0

3 years ago

Read 2 more answers

Is this set of numbers a Pythagorean triple? yes or no

Kaylis [27]

Answer:- No.

Explanation :-

Substitute these numbers in pythagoras theorem to check if the set of numbers is a pythagorean triplet.

Pythagoras theorem :- sq. of hypotenuse (longest side) is equal to the sum of sq.s of other two sides.

Here,

hypotenuse = 12 (as it is the longest side)

and other two sides are 6 and 9.

----> 6^2 + 9^2 = 12^2

----> 36 + 81 = 144

----> 117 = 144

Since, LHS is not equal to RHS, this set of numbers is not a pythagorean triplet.

8 0

4 years ago

5. (9) Letf- ((-2, 3), (-1, 1), (0, 0), (1,-1), (2,-3)) and let g- ((-3, 1), (-1, -2), (0, 2), (2, 2), (3, 1)j. Find: a. (g f (0

pashok25 [27]

Answer: g(f(0)) = 2 and (f ° g)(2) = -3.

Step-by-step explanation: We are given the following two functions in the form of ordered pairs :

f = {(-2, 3), (-1, 1), (0, 0), (1,-1), (2,-3)}

g = {(-3, 1), (-1, -2), (0, 2), (2, 2), (3, 1)} .

We are to find g(f(0)) and (f ° g)(2).

We know that, for any two functions p(x) and q(x), the composition of functions is defined as

$(p\circ q)(x)=p(q(x)).$

From the given information, we note that

f(0) = 0, g(0) = 2, g(2) = 2 and f(2) = -3.

So, we get

$g(f(0))=g(0)=2,\\\\(f\circ g)(2)=f(g(2))=f(2)=-3.$

Thus, g(f(0)) = 2 and (f ° g)(2) = -3.

8 0

3 years ago

A new shopping mall is gaining in popularity every day since it open the number of shoppers is 20% more than the numbers of shop

erastovalidia [21]

Answer: the number of shoppers on the first day is 125

Step-by-step explanation:

The number of shoppers is 20% more than the numbers of shoppers the day before. It means that the number of shoppers is increasing in geometric progression. The formula for determining the sum of n terms, Sn of a geometric sequence is expressed as

Sn = (ar^n - 1)/(r - 1)

Where

n represents the number of term in the sequence.

a represents the first term in the sequence.

r represents the common ratio.

From the information given,

r = 1 + 20/100 = 1.2

n = 4(first 4 days)

S4 = 671

Therefore, the expression for the first 4 days is

671 = (a × 1.2^(4) - 1)/1.2 - 1

671 = (a × 1.2^(4) - 1)/0.2

671 = 1.0736a/0.2

671 = 5.368a

a = 671/5.368

a = 125

3 0

3 years ago