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V125BC [204]
3 years ago
13

Length of a rectangle is four times its width. If the perimeter is 100 m, what is the area in square cm?

Mathematics
1 answer:
melisa1 [442]3 years ago
6 0

Set the width to be x. Thus, the length is 4x.

The perimeter is 2(x+4x)=100, so x=10.

Plugging in x=10, you get that 4x=40.

So, the area of the rectangle is 400 m^2.

Because there are 100 centimeters in a meter and you are asking for area, you must multiply by 100^2 to get 4000000 cm^2.


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Assume that military aircraft use ejection seats designed for men weighing between 141.8 lb and 218 lb. If​ women's weights are
Mariulka [41]

Answer:

P(141.8

And we can find this probability with this difference and using the normal standard table:

P(-0.639

Then the answer would be approximately 55.3% of women between the specifications. And that represent more than the half of women

Step-by-step explanation:

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

X \sim N(173.6,49.8)  

Where \mu=173.6 and \sigma=49.8

We are interested on this probability

P(141.8

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(141.8

And we can find this probability with this difference and using the normal standard table:

P(-0.639

Then the answer would be approximately 55.3% of women between the specifications. And that represent more than the half of women

8 0
3 years ago
What is the solution to the system? <br><br> (___,___)
Rina8888 [55]
For the first line we have a slope of (y2-y1)/(x2-x1)

(2--2)/(1--1)=4/2=2 so we have:

y=2x+b, now solve for b with either of the points, I'll use: (1,2)

2=2(1)+b

b=0 so the first line is:

y=2x

Now the second line:

(1-10)/(4--2)=-9/6=-3/2 so far then we have:

y=-3x/2+b, using point (4,1) we solve for b...

1=-3(4)/2+b

1=-6+b

b=7 so 

y=-3x/2+7 or more neatly...

y=(-3x+14)/2

...

The solution occurs when both the x and y coordinates for each are equal, so we can say y=y, and use our two line equations...

2x=(-3x+14)/2

4x=-3x+14

7x=14

x=2, and using y=2x we see that:

y=2(2)=4, so the solution occurs at the point:

(2,4)


6 0
3 years ago
A swimmer is racing to the other side of the
kiruha [24]
Either B or C. They look exactly the same but I can’t tell because the photo is blurry

y intercept is 75 and x intercept is 75/2.5=30
4 0
3 years ago
Which values represent the first two terms of the sequence a1=2 and an=-2(an-1)^2?
Mars2501 [29]
Hello,

a_{1}=2
a_{n+1}=-2*a_{n}^2

a_{1}=2
a_{2}=-2*2^{2}=-8
a_{3}=-2*(-8)^{2}=-2*64=-128


Answer C






3 0
3 years ago
(-6, -4); y = 1/3x +1
Sedbober [7]

Answer:

y=3x+14

Step-by-step explanation:

Well you already know that the slope is 3

parallel lines always have the same slope.

so then you plug in the point (-6,-4) into y=3x+b

-6 is x and -4 is y

-4=3(-6)+b

-4=-18+b

14=b

so your equation is y=3x+14

<em>Hope this helps :D</em>

5 0
3 years ago
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