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liq [111]
3 years ago
12

Last year, you had a garden in your back yard with an area of 200 ft. This year, you increased the area of the garden by 24%. Wh

at is the area of the new garden?
680 ft

48 ft

248 ft

480 ft
Mathematics
2 answers:
Rasek [7]3 years ago
6 0
It's 248 ft because it increased by 24%, you do 200 ft times 1.24 to get 248 ft.
alina1380 [7]3 years ago
5 0
Hey!
So take the original area and multiply it by 0.24 and you get 48.
Now add 48 to 200 to get the new area which is 248 feet. 

You can also multiply the original area by 1.24 because since the garden grew you do 1.24, but if it decreased then you would do 0.76 because of 1 - .24.

The answer is 248 ft
Hope this helps!
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Sara is working on a Geometry problem in her Algebra class. The problem requires Sara to use the two quadrilaterals below to ans
zloy xaker [14]
Part A:

Given a square with sides 6 and x + 4. Also, given a rectangle with sides 2 and 3x + 4

The perimeter of the square is given by 4(x + 4) = 4x + 16

The area of the rectangle is given by 2(2) + 2(3x + 4) = 4 + 6x + 8 = 6x + 12

For the perimeters to be the same

4x + 16 = 6x + 12
4x - 6x = 12 - 16
-2x = -4
x = -4 / -2 = 2

The value of x that makes the <span>perimeters of the quadrilaterals the same is 2.



Part B:

The area of the square is given by

Area=(x+4)^2=x^2+8x+16

The area of the rectangle is given by 2(3x + 4) = 6x + 8

For the areas to be the same

x^2+8x+16=6x+8 \\  \\ \Rightarrow x^2+8x-6x+16-8=0 \\  \\ \Rightarrow x^2+2x+8=0 \\  \\ \Rightarrow x= \frac{-2\pm\sqrt{2^2-4(8)}}{2}  \\  \\ = \frac{-2\pm\sqrt{4-32}}{2} = \frac{-2\pm\sqrt{-28}}{2}  \\  \\ = \frac{-2\pm2i\sqrt{7}}{2} =-1\pm i\sqrt{7}

Thus, there is no real value of x for which the area of the quadrilaterals will be the same.
</span>
7 0
4 years ago
Need help to answer my question
sesenic [268]

Answer:

x>\frac{7}{3}

I hope this is good enough:

7 0
3 years ago
PLEASE HELP I GIVE THANKS
vagabundo [1.1K]
4)
4 is for the  Library,  6 is for the park,  Police is 5 north up...
Distance of Police from park is by using Pythagoras Theorem:

x^2 =  5^2 + 6^2
x^2 =  25 +36
x^2 =  61    Take the square root of both sides.
x  = square root (61) = 7.81.
x = 7.8 miles  to the nearest tenth.

5)
Since it is a square garden, let the side be = x.
The length of the fence = x + x +x +x = 4x.
Let length of diagonal = d =34.

By Pythagoras theorem.
x^2 + x^2 = d^2.
2x^2 = 34^2.  Divide both sides by 2.

x^2 =  (34 *34) / 2 =  17 * 34,  Use your calculator.

x^2 = 578.        Take square root of both sides.

x =  square root (578)
x = 24.04

Total fence = 4x = 4*24.04 = 96.16.

Total fence = 96 feet to the nearest feet.
7 0
3 years ago
Is this right? if not please explain
SOVA2 [1]
Yes, I agree!!!!!!!!
8 0
3 years ago
Many fast-food restaurants have soft drink dispensers with preset amounts, so that when the operator merely pushes a button for
son4ous [18]

Answer:

The alternative hypothesis is:

<em>Hₐ</em>: The workers with automatic dispensers are more productive than restaurant with manual dispensers.

Step-by-step explanation:

In this case we need to determine whether the workers with automatic dispensers are significantly more productive than restaurant with manual dispensers.

To test this a random sample of 9 workers from a restaurant with automatic dispensers and 9 works from a restaurant with manual dispensers are selected.

The significance level of the test is, <em>α</em> = 0.01.

A Mann-Whitney U test is used to determine whether the randomly selected value from one population is either more than or less than the same value selected from another population.

The hypothesis can be defined as follows:

<em>H₀</em>: The workers with automatic dispensers are as productive as restaurant with manual dispensers.

<em>Hₐ</em>: The workers with automatic dispensers are more productive than restaurant with manual dispensers.

6 0
4 years ago
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