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svetlana [45]
3 years ago
11

PLZ HELP ME!!!!!!!!!

Mathematics
1 answer:
Nuetrik [128]3 years ago
6 0
4 is the answer good sir
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the perimeter of a rectangle is 50 inches the length l is twice the width w. what is the area of the rectangle?? ❗️show work❗️
mr Goodwill [35]
Hey. Let me help you on this one.

In order for us to solve this problem, we will need to set up an equation which we can solve later. I will also be attaching an image with the work shown in case you don't understand my explanation. Make sure to read over it since it will help you with your studies.

We know that the length is twice the width, meaning that a=2b, with "a" standing for length, and "b" standing for width. Now that we have formed an equation for length, we can actually form an equation for perimeter.

P=2(2b)+2b

Let's simplify the equation so it's easier and less confusing for us to solve it.

50=6b

Let's divide 6 from both sides, thus eliminating all variables except for b on the right side.

8.3=b

"3" in 8.3 is repeating. This is very important to remember. Now, we know the width of the triangle. Let's find the length of the triangle so we can then multiply both numbers together and find the area.

a=8.3*2
a=16.6

"6" in 16.6 is repeating as well. It's crucial to remember as well. We know the values now, meaning that we can find the area of the rectangle.

S=16.6*8.3
S=138.8

Answer: Area of the rectangle is 138.8 (with 8 repeating). 



4 0
4 years ago
A person standing cloes to the edge on the top of a 200-foot building throws a baseball vertically upward. The quadratic functio
RoseWind [281]

Answer:

See below in bold.

Step-by-step explanation:

A).  s(t)= -16t^2+64t+200

Converting to vertex form.

s(t) = -16 (t^2 - 4t) + 200

s(t) =  -16 [(t - 2)^2 - 4] + 200

s(t) = -16(t - 2)^2 + 64 + 200

s(t) =  -16(t - 2)^2 + 264

The maximum height is after 2 seconds and it is 264 feet.

B) The ball hits the ground when s(t) = 0 so we have:

-16t^2+64t+200 = 0

x [-64 +/- sqrt (64^2 - 4*-16*200) ] / -32

x = 6.06, -2.06

So the answer is 6.06 seconds.

6 0
3 years ago
Jeremy has 50 ft of fencing to enclose a rectangular-pen for his dog. He plans on using a side of his house for one side of the
kotykmax [81]

The dimensions such as length is 18 and width is 16 or length is 32 and width is 9 will produce an enclosed area of 288ft.

<h3>What is the dimension of length and width?</h3>

We know that,

P = l + 2w

50 = l + 2w

50 - 2w = l

A = l x w

288 = (50 - 2w)w

288 = 50w -2w²

2w² - 50w + 288

By dividing throughout by 2

w² - 25w + 144

This is in quadratic equation form.

By applying quadratic formula,

w = (-(-25) ± \sqrt{(-25)^{2}-4*1*144) / 2

w = (-(-25) ± 7)/2

w1 =  (-(-25) + 7)/2

w1 = (25 + 7) / 2

w1 = 16

w2 =  (-(-25) - 7)/2

w2 = (25 - 7) / 2

w2 = 9

By substituting the values in eq1,

A = l x w

if w = 16

288 = l x 16

l = 288/16

l = 18

if w = 9

288 = l x 9

l = 288/9

l = 32

The dimensions will be length is 18 and width is 16 or length is 32 and width is 9.

To learn more about area of rectangle refer to :

brainly.com/question/25292087

#SPJ1

3 0
1 year ago
The radius of a cylindrical gift box is (3x+4) inches. The height of the gift box is three times the radius. What is the surface
liq [111]

The required equation of the surface area of the cylinder is (60\pi x^2+192\pi x+128\pi)

<u>Solution:</u>

Let "r" be the radius of cylinder and "h" be the height.

Formula for surface area is:

S= 2r^2\pi + 2r\pi h

where 2r^2\pi is surface of two bases of cylinder and 2r\pi h is surface of mantle.

From the given, the height of the gift box is three times the radius, i.e h=3r=3\times(3x+4)\rightarrow h=9x+12

On substituting the given values in the formula we get,

S = 2\times\pi[(3x+4)^2 + (9x+12)\times(3x+4)]

\Rightarrow S=2\pi[(3x^2)+2\times3x\times4+4^2]+[(9x\times3x)+12\times3x+36x+48]

\Rightarrow S=2\pi[9x^2+24x+16]+[21x^2+36x+36x+48]

\Rightarrow S=2\pi[9x^2+24x+16+21x^2+72x+48]\rightarrow2\pi[30x^2+96x+64]

On multiplying 2\pi inside the brackets we get,

\Rightarrow S=[60\pi x^2+192\pi x+128\pi]

Hence, the required equation is (60\pi x^2+192\pi x+128\pi)

5 0
3 years ago
Write the following number in scientific notation: .00098
aalyn [17]

Answer:

9.8x10^-4

Step-by-step explanation:

6 0
3 years ago
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