A rain gutter is made from aluminum sheets that
28 cm wide. The first step in forming a rain gutter is to lift the edges of the aluminum sheet to form right angles, as show in in the illustration below. The cross-section
area formed by the raised edges affects the water flow. This cross-section area, A, can be represented by the function A = x(28-2x) where x
represents the height of the raised edges.
1. To the nearest centimetre, determine the height of the raised edge, x cm, which will maximize the
transverse area.

Answers

Answer 1

Answer:

               7 cm

Step-by-step explanation:

For any quadratic function f(x)=ax²+bx+c given in form f(x)=a(x-h)²+k, where:

h=-b/2a  and k=f(h) the point (h, k) is vertex of the function graph.

It means that k is maximum (if a<0) or minimum (if a>0) value of function and x=h is the x which will maximize function.

A(x) = x(28-2x) = 28x - 2x² = - 2x² + 28x ⇒ a = -2 , b = 28

h = -28/[2•(-2)] = 7


Related Questions

4d - p = m
Solve for d

Answers

Answer:

d=(m+p)/4

Step-by-step explanation:

The given equation solved for d as d=(m+p)/4.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 4d-p=m.

The given equation can be solved as

4d=m+p

Therefore, the given equation solved for d as d=(m+p)/4.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

4. So
3. Gecko Wireless has a 1000 minute monthly plan
that costs $29.95. Each bill also includes $2.95 for
federal communications tax and $0.05 per minute
over 1000. If m represent the minutes over 1000,
which equation represents the cost, p, of wireless
phone service? (MAFS.912.A-CED. 1.1)
defin
solut
a. P= 29.95 + 2.95
b. P=0.05 + m(29.95 +2.95)
P= 29.95 + 0.05m +2.95
d. P= (29.95 + 0.05)m +2.95. What equation should I use?

Answers

Answer:

[tex]P=29.95+0.05m+2.95[/tex]

Step-by-step explanation:

The monthly plan costs starts at $29.95, so we're not changing that.

For each monthly plan, we have to pay a tax of $2.95, so we're not changing that.

If we go over 1,000 minutes, we have to pay $0.05 for every minute we go over, and with the fact that [tex]m[/tex] represents each minute over 1,000, we're going to have to represent minutes over 1,000 as [tex]0.05m[/tex] in our equation.

Set up your equation:

[tex]P=29.95+0.05m+2.95[/tex]

In February 2009, the Harris Poll asked a sample of Americans whether they thought churches and religious groups have too much or too little power and influence on Washington†. The opinions of Americans were 34% too much, 57% too little, 4% just right, and 5% unsure.

Answers

Complete question is;

In February 2009, the Harris Poll asked a sample of Americans whether they thought churches and religious groups have too much or too little power and influence on Washington†. The opinions of Americans were 34% too much, 57% too little, 4% just right, and 5% unsure. (a) What type of distribution is this? cumulative frequency distribution simple frequency distribution cumulative percent distribution relative percent distribution (b) Knowing that 1,010 adults were polled nationwide, how many Americans polled felt that churches and religious groups have too little power and influence on Washington? (Round your answer to the nearest whole number.) Americans

Answer:

A) Relative percent distribution

B) 576 Americans

Step-by-step explanation:

A) We are given that the opinions of Americans were 34% too much, 57% too little, 4% just right, and 5% unsure.

This means that number of people in each of this category was divided by total number of people in the poll and multiplied by 100%.

Thus,it is relative percent distribution.

B) Since 1,010 adults were polled nationwide, therefore the number of Americans polled felt that churches and religious groups have too little power and influence on Washington = 57/100 × 1010 ≈ 576 people

Nina’s total trip to and from work is 14 miles. If she works 243 days this year, how many miles will she drive to and from work?

Answers

Answer:

3,402

Step-by-step explanation:

Step 1:

243 × 14

Answer:

3,402

Hope This Helps :)

Answer:

3402

Step-by-step explanation:

A point lies on AB and is 1/4 the distance from A to B. Point A is located at (2, 8) and point B is located at (8, 5).

What are the coordinates of this point?

Answers

Answer:

[tex](\frac{7}{2} ,\frac{29}{4} )[/tex]

Step-by-step explanation:

Write The slope intercept Form of the equation of a line with a slope of -4 that passes through the point (4,4)

Answers

Answer: y = 4x - 12

Step-by-step explanation:

Name a pair of complementary angles (there may be more than one pair).
<1 and <5
<1 and 2
<2 and <4
<3 and <4
<5 and <4

Answers

Answer:

  ∠3 and ∠4

Step-by-step explanation:

In this diagram, angles 3 and 4 are the only pair whose sum is 90°.

In this given figure, [tex]\angle{3}[/tex] and [tex]\angle{4}[/tex] are the only pairs of angles that have the measure of 90°.

So,[tex]\angle{3}[/tex] & [tex]\angle{4}[/tex] are the pair of angles.

▬▬▬▬▬▬▬▬▬▬▬▬

Which inequality is true? Use the number line to help.

A number line going from negative 5 to positive 3 in increments of 1.

1.5 greater-than 2 and one-half
One-half greater-than 0.5
Negative 2.5 greater-than negative 1.5
Negative 3 and one-half greater-than negative 4.5



HELP ME

Answers

Answer:

c

Step-by-step explanation:

i did the assignment on E2020

Answer:

c

Step-by-step explanation:

The distance between the paralled lines 3x + 4y +15 = 0 and 3x + 4y -10 = 0 is equal to: pls help ASAP

Answers

Answer:

5 units

Step-by-step explanation:

Please see attached pictures for the full solution.

(This distance is the perpendicular distance between the 2 parallel lines, which is the shortest distance between them.)

Answer:

D 21/5

Step-by-step explanation:

edge

202·87–100·87–2·87=

Answers

Step-by-step explanation:

202·87–100·87–2·87

=99.13

Answer:

8700

Step-by-step explanation:

If you want it evaluated, this is the answer. 202 ·87-100·87-2·87= 17574-100·87-2·87=17574-8700-2·87=17574-8700-174= 8700

?show that 33105 is divisible by 15?​

Answers

Answer:

um 2207 times 15 is 33105

What is the range????????

Answers

range is the y-values of a coordinates. the range for this is 5,4,1,0

Translate into Algebra.
Jim will be x years old in two years. At that time, his sister will be twice as old as he will be. How old is Jim's sister now?

Answers

Let s be Jim's Sister's age now

s = 2x

3.
Find a relationship between x and y so that (x, y) is equidistant from the two points (3,-1)
and (2,5). Show your work.

Answers

Answer:

The answer is 6.082763

Step-by-step explanation:

We use the Distance formula for this problem.

Similar triangles vs con congruent explanation

Answers

Answer:

Similar triangle means that only the angles are the same, but the sides are not. Congruent means the angles and sides are the same.

Why is it imprecise to say that the equation 25 x 2 + 27 + 0 has no solution? Find all solutions of the equation.

Answers

Answer:

77

Step-by-step explanation:

77 is the only correct answer

fd - m = 8
Solve for d
Please help!

Answers

Answer:

[tex]d=\frac{8+m}{f}[/tex]

Step-by-step explanation:

[tex]fd-m=8[/tex]

Add m to both sides:

[tex]fd-m+m=8+m[/tex]

[tex]fd=8+m[/tex]

Divide both sides by f:

[tex]\frac{fd}{f}=\frac{8+m}{f}[/tex]

[tex]d=\frac{8+m}{f}[/tex]

PLEASE HELP ME THIS IS DUE IN 90 MINUTESSS

Answers

Answer:

4. it would take greater than 31.25 hrs for tims price to be better.

Step-by-step explanation:

Plz helpp me!!?:) I don’t understand

Answers

-24 - (-13) = w

Simplify the left side

-24 + 13 = w

Add together like terms

-11 = w

Solve: −6x+4≤−16−2x . Express your answer in interval notation. (Express your answer in interval notation. Use U to indicate a union of intervals, and "oo" to express ∞)

Answers

Answer:

  [5, oo)

Step-by-step explanation:

Add 6x+16 to both sides:

  20 ≤ 4x

  5 ≤ x . . . . . . divide by 4

The solution interval is [5, oo).

Answer:

A is the answer

Step-by-step explanation:

Given the replacement set {0, 1, 2, 3, 4}, solve 6x – 3 = 3.

Answers

Answer: The answer is 1

It is 1

Step-by-step explanation:

Find the exact value of sin(140°)cos(20°) – cos(140°)sin(20°)

Answers

Given :

An expression sin(140°)cos(20°) – cos(140°)sin(20°) .

To Find :

The value of given expression .

Solution :

We know ,

sin(A - B) = sin A cos B - cos A sin B

By comparing with above formula , we get :

A = 140° and B = 20° .

So , sin(140°)cos(20°) – cos(140°)sin(20°) = sin ( 140°- 20°) = sin 120° .

Now , [tex]sin 120^\circ{} = \dfrac{\sqrt{3}}{2}[/tex]

Therefore , the value of expression is [tex]\dfrac{\sqrt{3}}{2}[/tex] .

Hence , this is the required solution .

Jane has bought 10 pounds of dog food. She feeds her dog 2/5 pounds for each meal. For how many meals will the food last? Write your answer in simplest form.

Answers

Answer:

25 meals

Step-by-step explanation:

All you have to do is divide 10 ÷ 2/5 and you'll get 25 :)

X+1
If g(x) =
X-2 and h(x) = 4 - X, what is the value of (g•h)(-3)?
8/5
5/2
15/2
18/5

Answers

Answer: the correct answer is: 8/5

Step-by-step explanation: just took the quiz.

I’ll mark you brainliest for the first response! Explain answer in full detail.

Answers

Answer:

x = 25

Step-by-step explanation:

2x + 4 + x + 11 = 90, combine like terms

3x + 15 = 90, subtract 15 from both sides

3x = 75, divide by 3

x = 25, you have your answer!

x= 25 is the answerrrrr

Find KM in this segment .

Answers

Answer:

164

Step-by-step explanation:

7x + 24 = 6x - 20 + 64

7x - 6x = 64 - 20-24

x = 64 - 44

x = 20

KM = 7x + 24 = 7*20 + 24 = 140 + 24

KM = 164

Read the headline below and complete the instruction that follows. “Sloppy Play Sends Tigers to Final Loss” Determine which word indicates bias. Sloppy Tigers Final Loss

Answers

Answer:

Sloppy

_________

Answer:

sloppy

Step-by-step explanation:

it basically give a description that not everyone would think about it. if i described texas A&M as Trash not all people think that therefore making the statement an opinion and bias.

Represent the following sentence as an algebraic expression, where "a number" is the letter x. You do not need to simplify. The cube of the difference of 1 and a number.

Answers

Answer:

1-x=y cubed

Step-by-step explanation:

difference between 1 and a number is 1-x and the answer to this you cube.

How does a whale fall community affect ocean sediment? The decomposition of the whale enriches the sediment. The remains of the whale pollute the sediment. The sediment is transformed into food for mussels and crabs. The bacteria that are attracted break down the sediment nearby.

Answers

Answer:

The decomposition of the whale enriches the sediment.

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

I just took the test and it was correct

hopefully this helps you :)

pls mark brainlest ;)

how many line of symmetry has a kite​

Answers

Answer:

1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

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