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zepelin [54]
2 years ago
7

A farmer wants to increase the size of one of his square pens. The pen measures 10 feet on each side. The farmer plans to increa

se each side of the pen to be 160% of its current measure.
How many square feet larger is the area of the new pen than the area of the current pen?
Mathematics
1 answer:
Oxana [17]2 years ago
4 0

Answer:

156 feet larger

Step-by-step explanation:

Alright so 160% of 10 is 16 , now we do 16x16 = 256

Now we do 10x10 to find the old square feet which is 100

256-100=156

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PLEASE HELP!! SHOW WORK! &lt;3<br> Find the area of this figure. Dimensions are in meters.
densk [106]

Answer:

  2√46 + 25π/4 ≈ 33.2 . . . . m²

Step-by-step explanation:

The altitude of the triangle is given by the Pythagorean theorem. The right triangle of interest is the one that has 5√2 as its hypotenuse, and a leg of half the base shown. Then the other leg, the altitude of the triangle, is ...

  h = √((5√2)² - 2²) = √46

Then the area of the triangle shown is ...

  A = (1/2)bh = (1/2)(4)(√46)

  A = 2√46

__

The area of the semicircle is given by the formula ...

  A = (1/2)πr²

Filling in the radius shown, the area is computed as ...

  A = (1/2)π(5√2/2)² = 25π/4

So, the total area of the figure is ...

  total area = triangle area + semicircle area

  = 2√46 + 25π/4 . . . square meters

  ≈ 33.2 . . . square meters

3 0
3 years ago
number sense estimate then add to find the combined of the four highways shown in the table. ls your answer reasonable?explain.
ss7ja [257]
Please explain your question more in depth next time
6 0
3 years ago
A corporate team-building event costs $19plus an additional $1 per attendee. How many attendees can there be, at most, if the bu
Mars2501 [29]

Answer:

There can be at most 12 attendees in a corporate team-building event.

Step-by-step explanation:

Let x denotes number of attendees in a corporate team-building event.

Fixed cost = $19

Cost charged per attendee = $1

Budget for the corporate team-building event = $31

Therefore,

19+1(x)\leq 31\\19+x\leq 31\\x\leq 31-19\\x\leq 12

So, there can be at most 12 attendees in a corporate team-building event.

8 0
3 years ago
214 people used a public swimming pool. $1.50 for kids and $2.25 for adults. The receipt totaled to $390 How many children and h
zysi [14]

Answer:the number of kids that used the public pool that day is 122

the number of adults that used the public pool that day is 92

Step-by-step explanation:

Let x represent the number of kids that used the public pool that day.

Let y represent the number of adults that used the public pool that day.

214 people used a public swimming pool. This means that

x + y = 214

1.50 for kids and $2.25 for adults. The receipt totaled to $390. This means that

1.5x + 2.25y = 390 - - - - - - - - - -1

Substituting x = 214 - y into equation 1, it becomes

1.5x

1.5(214 - y) + 2.25y = 390

321 - 1.5y + 2.25y = 390

- 1.5y + 2.25y = 390 - 321

0.75y = 69

y = 69/0.75 = 92

Substituting y = 92 into x = 214 - y, it becomes

x = 214 - 92 = 122

5 0
3 years ago
4) Look at the underlined digits in the next number. Use the drop-down menus to compare the digit values. 24,480 4) Click on the
Sergio039 [100]

Answer:

Step-by-step explanation:

The value of the 4 in the thousand place is 10 times the value of the 4 in the hundreds place

7 0
3 years ago
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