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skelet666 [1.2K]
3 years ago
8

A rectangular garden 50 feet long and 10 feet wide is enclosed by a fence. To make the garden larger, while using the same fence

, its shape is changed to a square. By how many square feet does this enlarge the garden?
Mathematics
2 answers:
yanalaym [24]3 years ago
5 0

Answer:

The perimeter of the rectangular garden is $2(50+10)=120$ feet. A square with this perimeter has sidelength $120/4=30$ feet. The area of the rectangular garden is $(50)(10)=500$ and the area of the square garden is $(30)(30)=900$, so the area increases by $900-500=\boxed{\text{(D)}\ 400}$.

ivann1987 [24]3 years ago
3 0

The area of the rectangular garden is 50 x 10 = 500 square feet.

The perimeter of the rectangular garden is 50 + 50 + 10 +10 =120 feet.

The perimeter of the square also needs to be 120 because it is using the same amount of fence.

Divide 120 by 4 sides: 120/4 = 30

Each side of the square garden would need to be 30 feet.

The area of a square is Side^2, 30^2 = 900 square feet.

The square is 900 - 500 = 400 square feet more.

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A shoe store was having a back to school sale were you could buy 6 pairs of shoes for 52.62 If a large family decided to buy 3 p
Black_prince [1.1K]

Answer:

$26.31

Step-by-step explanation:

Since 3 is half of 6, 3 pairs of shoes would cost half the price.

So...

52.62/2=$26.31

6 0
2 years ago
What is the surface area of the cone? Express your answer in terms of π.b
weeeeeb [17]

Given:

Radius of the cone = 5 ft

Slant height of the cone = 21 ft

To find:

The surface area of the cone

Solution:

Surface area of cone formula:

SA=\pi r^{2}+\pi r l

where r is the radius and l is the slant height.

SA=\pi \times 5^{2}+\pi \times 5 \times 21

SA=\pi \times 25+\pi \times 105

SA=25 \pi+ 105 \pi

SA=130 \pi

The surface area of the cone is 130π square feet.

8 0
3 years ago
Plz Solve Will Mark Brainliest and No Stealing Points Or Will Report<br> Part 2
jonny [76]

Answer:

Before we graph y = -\frac{1}{2}x, we know that the slope, mx, could be read as \frac{rise}{run}. To graph the the equation of the line, we begin at the point (0,0). From that point, because our rise is negative (-1), instead of moving upwards or vertically, we will move downards. Therefore, from point 0, we will vertically move downwards one time. Now, our point is on point -1 on the y-axis. Now, we have 2 as our run. From point -1, we move to the right two times. We land on point (2,-1). Because we need various points to graph this equation, we must continue on. In the end, the graph will look like the first graph given.

For the equation y = 2, the line will be plainly horizontal. Why? Because x has no value in the equation. The variable x does not exist in this linear equation. Therefore, it will look like the second graph below. We graph this by plotting the point, (0,2), on the y-axis.

7 0
3 years ago
Two events, A and B, are independent of each other. P(A)=– and P(A and B)
Georgia [21]

Answer:

D: 0.75

P(B) = \frac{6}{8} = 0.75

Step-by-step explanation:

<u>Explanation</u>:-

<u><em>Independent events:</em></u>

If the occurrence of the  event 'B' is not effected by the occurrence or non- occurrence of the event 'A' then the event 'B' is said to be independent of 'A'

or

<em>The two events are independent if the incidence of one event is not affect the probability of other event.</em>

<em>P(A∩B) = P(A) P(B)</em>

Given data A and B are independent events

Given  data

    P(AnB) = \frac{1}{8} and P(A) =\frac{1}{6}

we know that A and B are independent events are

  P(A∩B) = P(A) P(B)

  \frac{1}{8} =  \frac{1}{6}  P(B)

Now calculation we get

P(B) = \frac{6}{8} = 0.75

<u><em>Final answer:</em></u>-

P(B) = \frac{6}{8} = 0.75

7 0
3 years ago
Can somebody number the problem and work it out for me thanks and btw it’s solving system by graphics
adoni [48]

Answer:

Solutions are (3,1) and (4,2)

Step-by-step explanation:

Graph is shown in the attached sheet

Given are two systems of equations and we have to solve them using graph

For graphing let us first prepare table for x and y.

1) y=\frac{-2x}{3} +3:\\y=2x-5

I line                                                             II line

x     0   4.5    3                              x       0      2.5     3

y      3   0       1                              y       -5      0        1

The two lines intersect at (3,1)

Hence solution is (3,1)

--------------------------------------------

2) y=\frac{x}{2} \\-6x+3y=-18

I line                                                             II line

x     0    2    4                              x       0      6     4

y      0   1      2                             y       3      0     2

The two lines intersect at (4,2)

Hence solution is (4,2)

3 0
3 years ago
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