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3 years ago

PLS HELP ILL GIVE BRAINLIEST

Mathematics

1 answer:

cluponka [151]3 years ago

8 0

So you start of by finding the median. The median in this case would be 43. Then you find the median of both the lower (36) and the upper (53) half of the data. Then the find the difference between those two number. So you would do 53-36 which would make the answer 17

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A school wishes to enclose its rectangular playground using 480 meters of fencing.

Harlamova29_29 [7]

Answer:

Part a) $A(x)=(-x^2+240x)\ m^2$

Part b) The side length x that give the maximum area is 120 meters

Part c) The maximum area is 14,400 square meters

Step-by-step explanation:

The picture of the question in the attached figure

Part a) Find a function that gives the area A(x) of the playground (in square meters) in terms of x

we know that

The perimeter of the rectangular playground is given by

$P=2(L+W)$

we have

$P=480\ m\\L=x\ m$

substitute

$480=2(x+W)$

solve for W

$240=x+W\\W=(240-x)\ m$

<u><em>Find the area of the rectangular playground</em></u>

The area is given by

$A=LW$

we have

$L=x\ m\\W=(240-x)\ m$

substitute

$A=x(240-x)\\A=-x^2+240x$

Convert to function notation

$A(x)=(-x^2+240x)\ m^2$

Part b) What side length x gives the maximum area that the playground can have?

we have

$A(x)=-x^2+240x$

This function represent a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

The x-coordinate of the vertex represent the length that give the maximum area that the playground can have

Convert the quadratic equation into vertex form

$A(x)=-x^2+240x$

Factor -1

$A(x)=-(x^2-240x)$

Complete the square

$A(x)=-(x^2-240x+120^2)+120^2$

$A(x)=-(x^2-240x+14,400)+14,400$

$A(x)=-(x-120)^2+14,400$

The vertex is the point (120,14,400)

therefore

The side length x that give the maximum area is 120 meters

Part c) What is the maximum area that the playground can have?

we know that

The y-coordinate of the vertex represent the maximum area

The vertex is the point (120,14,400) -----> see part b)

therefore

The maximum area is 14,400 square meters

Verify

$x=120\ m$

$W=(240-120)=120\ m$

The playground is a square

$A=120^2=14,400\ m^2$

8 0

3 years ago

3 cups 6oz + 2 cups 9oz

Liono4ka [1.6K]

1 cup is equal to 8 oz, so
3 cups x 8 = 24 oz.
you'll do the same for the two cups
2 x 8 = 16 oz
so adding them all together will be
24 + 6 + 16 + 9 = 55 total oz.

4 0

2 years ago

What is the vertex (x,y)? h(t)=2x^2+4x+7<br> PLS SHOW WORK

Nesterboy [21]

Hack
for y=ax^2+bx+c
the xvalue of the vertex is -b/2a
and the y value is found by subsituting that for x

so

-b/2a

h(t)=2x^2+4x+7
a=2
b=4
-b/2a=-4/(2*2)=-4/4=-1
the y value
h(-1)=2(-1)^2+4(-1)+7
h(-1)=2(1)-4+7
h(1)=2+3
h(1)=5

(-1,5) is da vertex

6 0

3 years ago

Ayuda es para un examen

Kazeer [188]

Es 5 por la x y la y

4 0

2 years ago

Given a force of 10N and an acceleration of 5m/s? What is the mass?

likoan [24]

Answer:

Step-by-step explanation:

Mass is a body of matter without definite shape.

Use the Newton's second law of motion formula.

Note: $\longrightarrow \sf{F=M*A}$

<u>Given:</u>

Force = 10N
Acceleration = 5m/s

First thing you do is divide.

10/5=2

= 2kg (mass)

Therefore, the final answer is 2kg (mass).

I hope this helps, let me know if you have any questions.

To learn more about the mass:

brainly.com/question/7580108

5 0

1 year ago