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2 years ago

Rectangle PRST is similar to rectangle PVwX.

Mathematics

1 answer:

Naya [18.7K]2 years ago

7 0

Answer:

18.75

Step-by-step explanation:

I GOT THIS QUESTION TOO I ACCIDENTALLY PUT THE WRONG ANSWER BUT THE ANSWER IS TOOK HALF IF 16=8

AND TOOK HALF OF 20=10 THAN I TAKE 10x15=150 THAN I

DIVIED WITH 8 WHICH IS [ ANSWER: 18.75 cm ] I THINK ITS RIGHT!!

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Kathy is fencing in her yard that has an area of 800 square feet. Her yard is in the shape of a rectangle where the length is 60

anygoal [31]

Answer:

The dimensions of the yard are W=20ft and L=40ft.

Step-by-step explanation:

Let be:

W: width of the yard.

L:length.

Now, we can write the equation of that relates length and width:

$L=5W-60$ (Equation #1)

The area of the yard can be expressed as (using equation #1 into #2):

$Area=W*L=W*(5W-60)$ (Equation #2)

Since the Area of the yard is $800 ft^2$ , then equation #2 turns into:

$800=W*(5W-60)$

Now, we rearrange this equation:

$800=W*(5W-60)//800=5W^2-60W//5W^2-60W-800=0$

We can divide the equation by 5 :

$W^2-12W-160=0$

We need to find the solution for this quadratic. Let's find the factors of 160 that multiplied yields -160 and added yields -12. Let's choose -20 and 8, since $(-20)*8=160$ and $-20+8=-12$ . The equation factorised looks like this:

$(W-20)(W+8)=0$

Therefore the possible solutions are W=20 and W=-8. We discard W=-8 since width must be a positive number. To find the length, we substitute the value of W in equation #1:

$5*20-60=40$

Therefore, the dimensions of the yard are W=20ft and L=40ft.

7 0

2 years ago

There are 1,200 students at Roosevelt middle school. There are 700 boys at the school. What percentage of the students at Roosev

Stella [2.4K]

Out of 1,200 students, 700 are boys. Therefore, the fraction would be $\frac{700}{1200}$ .

To convert this into a percentage, divide 700 by 1,200.

$\frac{700}{1200}$ = 0.583333 (or just 0.583 if you round)

Multiply 0.583 by 100 to get a percentage.

0.583 · 100 = 58.3

So, the percent of boys at the school is 58.3%.

4 0

2 years ago

The monthy net gains sales for a new sporting goods store were: $7195, $1484, $3224, $8807, $7185, $1730, $2573, $7071, $5360, S

brilliants [131]

Answer:

$7,185 see below ↓

explanation:

With median, it is about the number that appears the most, and since the closest it gets is between $7,071 and $7,195, we have to pick the number that averages in-between which in this case is <em>7,185.</em>

Below, this ↓ array proves the logic.

<em /> $\left[\begin{array}{ccc}7195&7185&7071\end{array}\right]$