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Leno4ka [110]
1 year ago
6

A sporting goods company is planning to manufacture a commemorative lacrosse

Mathematics
1 answer:
LiRa [457]1 year ago
5 0

Answer:

Volume of this cylinder = 785.71 Cm³

Surface area of this cylinder​ = 157.14 Cm²

Step-by-step explanation:

Given:

Height of cylinder = 10 Cm

Radius of cylinder = 10 / 2 = 5 Cm

Find:

Volume of this cylinder.

Surface area of this cylinder​

Computation:

Volume of this cylinder = πr²h

Volume of this cylinder = (22/7)(5)²(10)

Volume of this cylinder = 785.71 Cm³

Surface area of this cylinder​ = 2πr(h+r)

Surface area of this cylinder​ = 2(22/7)(5)(10+5)

Surface area of this cylinder​ = 2(22/7)(5)(15)

Surface area of this cylinder​ = 157.14 Cm²

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A man has 28 coins in his pocket, all of which are dimes and quarters. if the total value of his change is 520 cents, how many d
nordsb [41]
Assuming x = dimes, y = quarters

x + y = 28 \\ 0.1x + 0.25y = 5.20

x + y = 28 \\ x = 28 - y

Substitute that into,
0.1(28 - y) + 0.25y = 5.20 \\ 2.8 - 0.1y + 0.25y = 5.20 \\0.15y = 2.4 \\ y = 16

Answer : He has 16 quarters.

Hope this helps. - M
5 0
1 year ago
the total reimbursement (in dollars) for driving a company car m miles can be modeled by the function f(x) = 0.45m +5. After a p
Luba_88 [7]

Answer:

The slope becomes 0.5625 and y intercept becomes 12.5.

$65.9375

Step-by-step explanation:

Given that

the total reimbursement function in terms of m miles:

f(x) = 0.45m +5

After the policy change, 5 more dollars are added and then total amount is multiplied by 1.25.

To find:

How to transform the graph of f.

Total reimbursement for a trip of 95 miles?

Solution:

f(x) = 0.45m +5 can also be written as:

y = 0.45m +5

It is nothing but slope intercept form, comparing with Y = M X+ C

M is the slope and C is the y intercept.

Slope of the graph is 0.45.

Y intercept is 5.

After change in the function, first of all add $5.

0.45m +  5+5 = 0.45m+10

Now, multiply with 1.25

Resulting function becomes:

f(x) =1.25\times (0.45m+10)\\\Rightarrow f(x) =0.5625m+12.5

Kindly refer to the attached image for the graph of the two functions.

Now, the slope becomes 0.5625 and y intercept becomes 12.5. This is the transformation.

To find the reimbursement for a trip of 95 miles:

Put m = 95

f(95) =0.5625\times 95+12.5 = \bold{\$65.9375 }

8 0
1 year ago
​(c) if the corresponding terms of two arithmetic sequences are​ added, is the resulting sequence​ arithmetic?
Harman [31]

To determine whether the corresponding terms of 2 arithmetic sequence's added will give new arithmetic sequence or not, Let' take 2 Arithmetic sequences.

In one first term is a1 and common difference is d1, in the other first term is a2 and common difference is d2.

Now nth term for first sequence = a1+(n-1) d1

  nth term for second sequence = a2+(n-1) d2

Now add the 2 terms: a1+(n-1)d1 +a2 +(n-1)d2

                                   = a1+a2 + (n-1)(d1+d2)

This is again new arithmetic sequence with first term a1+a2 and common difference d1+d2.

Hence if we add corresponding terms of 2 arithmetic sequence, we will again get an arithmetic sequence.

5 0
1 year ago
Four brothers each bought two hotdogs and a bag of chips at the concession stand.if the bag of chips was $1.25,and the total was
ahrayia [7]

Answer:

  $1.65

Step-by-step explanation:

The total purchase can be described by ...

  4(2h +1.25) = 18.20 . . . . where h is the price of a hot dog

  8h = 13.20 . . . . . . . . . . . subtract 5.00

  h = 1.65 . . . . . divide by 8

The price of a hot dog was $1.65.

5 0
1 year ago
The final velocity, V, of an object under constant acceleration can be found using the formula uppercase V squared = v squared +
Anon25 [30]

Answer:

StartFraction uppercase V squared minus v squared Over 2 s EndFraction = a

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
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