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3 years ago

To ride a roller coaster, the rider must be over 58 inches tall. Let h represent height.????????????

Mathematics

2 answers:

lilavasa [31]3 years ago

5 0

I’m not chere but I think it’s 58

Andru [333]3 years ago

3 0

Answer:

I don't know what you're trying to solve for but start with h > 58.

Step-by-step explanation:

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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

X and Y intercept equations x +2y =18

Rufina [12.5K]

Answer:

(0,9) and (18,0)

Step-by-step explanation:

To find the x-intercept, set y = 0. Note how this equation x + 2y = 18 becomes x = 18. Thus, the x-intercept is (18,0).

To find the y-intercept, set x = 0. Then 2y = 18, and y = 9. The y-intercept is (0,9).

3 0

3 years ago

Help me please!! This test is due tomorrow!! What's the answer? 5 stars and brainliest!

puteri [66]

Answer:

5/36

Step-by-step explanation:

I added them up

Tell me if I am wrong.

Can I get brainliest

3 0

3 years ago

Help me pls!!

tresset_1 [31]

(a) Truck carries 90 gallons of diesel fuel to 660 miles.

So, 1 gallon of diesel fuel to 660/90 = 22/3 miles.

30 gallons of diesel fuel to = 220 miles.

Hence, if x-axis represents the number of miles and y-axis represents the number of gallons, then, (660, 90) and (220, 30) are points on the graph.

Join (660, 90) and (220, 30), we get the graph of a line.

Note that (0, 0) is also a point on the line.

Equation of the line is .

(b) x represents the number of miles. Therefore, the possible values for x is the closed interval [0, 660].

Hence, the domain of the function is [0, 660].

7 0

3 years ago

Which one of these is not a step used when constructing an inscribed equilateral triangle using technology?

dusya [7]

The third one duhhh, Ik this stuff

6 0

3 years ago