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Nana76 [90]
3 years ago
7

Match the three dimensional figure to its volume based on the given dimensions assume n= 3,14.

Mathematics
1 answer:
stepan [7]3 years ago
6 0

Answer:

Volume of right cylinder= 150.72 cu cm

Volume of cone= 314.159 cu cm

Volume of pyramid with base area 16= 160 cu cm

Volume of pyramid with length 3 =48 cu cm

Step-by-step explanation:

Volume of right cylinder = πr²h= 22/7 (4)²3=  150.72 cu cm

Volume of a cone = 1/3 πr²h= 1/3 (22/7) (5)²(12)= 314.159 cu cm

Volume of a pyramid = 1/3 ah= 1/3(16) (30)= 160 cu cm  (where a= area and h= height)

Volume of pyramid= 1/3 (3*3)(16)= 48 cu cm

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One canned juice drink is 15% orange juice another is 10% orange juice how many liters of each should be mixed together in order
vfiekz [6]
\bf \begin{array}{lccclll}
&quantity(L)&concentration&
\begin{array}{llll}
concentrated\\
quantity
\end{array}\\
&-----&-------&-------\\
\textit{15\% juice}&x&0.15&0.15x\\
\textit{10\% juice}&y&0.10&0.10y\\
-----&-----&-----&-----\\
mixture&5&0.14&(5)(0.14)
\end{array}

whatever the amounts of "x" and "y" are, they must add up to 5Liters
thus x + y = 5

and whatever the concentrated quantity is in each, they must add up to (5)(0.14)

notice, that we use the decimal notation for the amount of juice concentration, that is, 15% is just 15/100 or 0.15, and 14% is just 14/100 or 0.14 and so on, recall that "whatever% of something" is just (whatever/100)*something

thus    \bf \begin{cases}
x+y=5\implies \boxed{y}=5-x\\\\
0.15x+0.10y=(5)(0.14)\\
----------\\
0.15x+0.10\left(\boxed{5-x}  \right)=(5)(0.14)
\end{cases}

solve for "x", to see how much of the 15% juice will be needed

what about "y"?  well, y = 5 - x

7 0
2 years ago
Talia works 6 hours per day on Fridays and Saturdays each week. She earns $8.20 per hour
Simora [160]

<u>Question 1 </u>

Talia works 6 hours on Friday and 6 hours on Saturday. Total Work = 6+6 = 12 hours.

Hourly Rate = 8.20 dollars per hour.

Gross Pay = (Total Work) x (Hourly Rate) = 12 x 8.20 = 98.40 dollars.

Hence, option D is correct i.e. 98.40 dollars.

<u>Question 2 </u>

Mikey worked 8 hours on Wednesday, 6 hours on Thursday and 7 hours on Friday.

Total Work = 8+6+7 = 21 hours.

Gross Pay = 187.95 dollars.

Hourly Rate = (Gross pay)/(Total work) = (187.95)/21 = 8.95 dollars per hour.

Hence, option A is correct i.e. 8.95 dollars per hour.

<u>Question 3 </u>

Nina's Hourly Rate for first 40 hours = 12.25 dollars per hour.

Overtime rate for after first 40 hours = 1.5 x 12.25 = 18.375 dollars per hour.

Total work = 46 hours.

Gross Pay = (Hourly rate)x(first 40 hours) + (Overtime rate)x(Excess time after first 40 hours)

Gross pay = (12.25 x 40) + (18.375 x 6)

Gross pay = 490 + 110.25

Gross pay = 600.25 dollars.

Hence, option A is correct i.e. 600.25 dollars.

<u>Question 4 </u>

Tip amount = 15 dollars.

Meal cost = 75 dollars.

Tip percentage = (Tip amount / Meal cost) x 100

Tip percentage = (15 / 75) x 100 = 20%

Hence, option B is correct i.e. 20%

<u>Question 5 </u>

Weekly Salary = 844 dollars.

Commision Rate = 4% = 0.04

Last week Sales = 3250 dollars.

Last week commission on sales = 0.04 x 3250 = 130 dollars.

Gross pay = Weekly Salary + Commission amount.

Gross pay = 844 + 130 = 974 dollars.

Hence, option C is correct i.e. 974.00 dollars.

5 0
3 years ago
Evaluate the following expression will give branliest<br> 256 to the power of 5/8
Nana76 [90]

Answer:

32

Step-by-step explanation:

The formula needed to solve this question by hand is:

x^{\frac{m}{n}} =\sqrt[n]{x^{m}}

256^(5/8) = 8th root of 256^5

256^(5/8) = 8th root of 1280

<u>256^(5/8) = 32</u>

5 0
2 years ago
Read 2 more answers
F(x) = 8|x| - 5<br> f(-2) =
Anastaziya [24]

Answer:

f(-2) = 11

Step-by-step explanation:

Hello!

We can evaluate y by plugging in -2 for x in the equation.

<h3>Evaluate</h3>
  • f(x) = 8|x| - 5
  • f(-2) = 8|-2| - 5
  • f(-2) = 8(2) - 5         Remember that absolute value turns the number positive
  • f(-2) = 16 - 5
  • f(-2) = 11

The evaluated value is 11.

6 0
1 year ago
Help pls just with 2 and 6 if the rest looks wrong just tell me but all I need help with is 2 and 6 thx peeps ;) brainliest bob!
olga_2 [115]

Answer:

2. C

6. C

(the others are correct)

7 0
2 years ago
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