need some help please ​

Answer:

A. a. 34.5 feet

b. 60 feet

Step-by-step explanation:

Parabola equation

[tex]y=-0.005x^2+0.3x[/tex]

Differentiating with respect to x we get

[tex]\dfrac{dy}{dx}=-0.01x+0.3[/tex]

Equating with zero

[tex]-0.01x+0.3=0\\\Rightarrow -0.01x=-0.3\\\Rightarrow x=\dfrac{0.3}{0.01}\\\Rightarrow x=30[/tex]

Double derivative of the parabolic equation

[tex]\dfrac{d^2y}{dx^2}=-0.01<0[/tex]

So, [tex]x=30[/tex] is maximum.

[tex]y=-0.005\times 30^2+0.3\times 30\\\Rightarrow y=4.5[/tex]

So, the maximum height of the arch will be 4.5 feet.

From the ground the highest point of the arch will be [tex]30+4.5=34.5\ \text{ft}[/tex]

We are taking the x axis as the width of the bank.

[tex]0=-0.005x^2+0.3x\\\Rightarrow 0.005x^2=0.3x\\\Rightarrow x=\dfrac{0.3}{0.005}\\\Rightarrow x=60[/tex]

So, the width of the bank will be 60 feet.

Answer:

4350

Step-by-step explanation:

Linda's net and first term of the expression is correct and the surface area of the attic is 4425 square feet.

The area of a three dimensional object on it's outer surface is called the surface area of the object.

Given the attic of Linda's home.

Attic is in the shape of triangular prism.

The net that Linda drawn is correct since she expresses all the measurements right in the net.

So, the net Linda drew is correct.

We can find the surface area from the net of the prism.

Net of the prism consists of 2 identical triangles, 2 identical rectangles and a rectangle.

Area of triangle is  [tex]\frac{1}{2}[/tex] × base × height and that of rectangle = length × width

Area of 2 triangles = 2 × [tex]\frac{1}{2}[/tex] × 25 × 15 = 25 × 15

Area of rectangles = (45 × 40) + (45 × 25) + (45 × 25)

                               = 45(40 + 25 + 25)

Total surface area = 45(40 + 25 + 25) + (25 × 15)

The first term of Linda's expression, 45(40 + 25 + 25) is correct.

The second term of Linda's expression, ([tex]\frac{1}{2}[/tex] × 25 × 15) is not correct.

Surface area of the attic = 45(40 + 25 + 25) + (25 × 15)

                                        = 4425 square feet

Hence the surface area of the attic is 4425 square feet.

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The complete question is given below.

Answer:

105 students

Step-by-step explanation:

Answer:

105

Step-by-step explanation:

The length of the kites longer diagonal will be 40 units. Option C is correct.

Pythagoras theorem is a basic relationship in geometry between the three sides of a right triangle.

The digrame attached shows the length of all the sides as;

AB=37 units

BE = 12 units

BD = 13 units

BE = 12 units

To find:

The length of the kite’s longer diagonal, AD

From the figure it is observed the longest diagonal is the addition of  the sides from the top of the triangle as;

From the triangle, AEB, according to Pythagoras theorem,

h²=p²+b²

AE² = AB²-BE²

AE²=37²-12²

AE=35 units

From the triangle according to Pythagoras theorem,

h²=p²+b²

DE²=BD²-BE²

DE²=13²-12²

DE = 5 unit

The length of the kites longer diagonal will be the sum of the two sides;

AD = AE+ED

AD= 35 + 5

AD = 40 units

The length of the kites longer diagonal will be 40 units.

Hence option C is correct.

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Answer:

6%

Step-by-step explanation:

19.20 = 320x (suppose x = tax rate)

Divide both sides by 320

x = .06 or 6%

Answer:

a) The number is:

0.73652913

There are 8 digits after the decimal point, then we need to multiply and divide by: 100,000,000 (8 zeros at the right of the 1)

0.73652913 =  0.73652913*(100,000,000)/(100,000,000) = 73,652,913/100,000,000

So we wrote this as a fraction of two integers.

b) The number is:

0.746746...

Where the periodic part is 746.

the periodic part has 3 digits, then we can do:

0.746746...*1000 = 746.746746....

Now we can subtract the number itself to get:

746.746746... - 0.746746... = 746

And what we did is:

N*1000 - N = N*999

Then to transform the number into a quotient of integers, we can multiply and divide by 999.

0.746746... = 0.746746...*(999)/(999) = 746/999

That is a quotient of two integers, so 0.746746... is a rational number.

Answer:

You're answer is 4/7

Step-by-step explanation:

I hope this helps!

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Answer:

18,675,630

Step-by-step explanation:

1.take 789^6 and multiply to get 4,734

2.take 789^5 and multiply to get 3,945

3.take the 2 products (4,734 and 3,945)and multiply to get 18,675,630

if this is not the right answer i'm sorry

Answer:

the cosine expressions are reversed

Step-by-step explanation:

edge 2020

Step-by-step explanation:

Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying 15 gallons of fuel, the airplane weighs 2187 pounds. When carrying 35 gallons of fuel, it weighs 2303 pounds. How much does the airplane weigh if it is carrying 50 gallons of fuel?

----

You have two points relating fuel and weight.

(15,2187) and (35,2303)

------------

slope = (2303-2187)/(35-15) = 5.8

----

intercept = ?

2187 = 5.8*15 + b

b = 2100

-------

Equation:

f(x) = 5.8x + 2100

---

f(50) = 2390 lbs.

====================

Answer:

2(5x+4)

2×5=10

2×4=8

so answer is 2(5x+4)

Answer:

Mr. Alcazar baked 810 cookies.

Step-by-step explanation:

Given that Mr. Alcazar bakes 6 batches of 60 cookies and five batches of 90 cookies, to determine the amount of cookies that he cook, the following calculation must be performed:

(6 x 60) + (5 x 90) = X

360 + 450 = X

810 = X

Therefore, according to the calculation that has been made, Mr. Alcazar baked 810 cookies.

Answer:

the first one

Step-by-step explanation:

38 inches.

(3 x 12) + 2 = 38 inches.

Answer:

f we are talking about months of births its qualitative, if numbers such as 11, 10, 5, representing days or months or years is involved as data then it is quantitative.

Step-by-step explanation:

Answer:

C.3(x + 2) can be rewritten as 3x + 6

Step-by-step explanation:

Given 3(x+2)

Evaluating the expression by opening the parenthesis;

3(x+2) = 3(x) + 3(2) Distributive law

3(x+2) =3x + 6

Hence 3(x+2) is equivalent to 3x+6

Hence the correct answer is C.3(x + 2) can be rewritten as 3x + 6

Answer:

Step-by-step explanation:

surface area of a square pyramid

= Area of base + 1/2 base perimeter * slant height

= (1 x 1) + (1/2 x 4 x 4)

= 1 + 8

= 9 yd²

The slope is -1/6.

Using the slope formula m = (y₂-y₁)/(x₂-x₁),

m = (6-7)/(9-3) = -1/6

Because the slope is negative, the line is decreasing.

Answer: C.5.60 miles

Step-by-step explanation:

I don’t know the explanation but I got it correct on a test that I was taking...

Rick ran 5.60 miles on Thursday at the speed of 5.60 miles per hour.

In unit time, the distance covered by any object is called speed.

In mathematical term, Speed is express as S=D/T,

where S=speed, D=distance, T= time.

Given that,

Distance covered by Rick in 3/4 hour on Wednesday = 4.2 miles,

Also, Rick ran for 1 hour on Thursday at the same speed as Wednesday.

The speed on Wednesday = 4.2 / (3/4) = 5.6 miles / hour

Since, the speed is same on Thursday,

So the speed on Thursday = 5.6 miles per hour

The distance covered in 1 hour = 5.60 miles.

Hence, option (C) is correct.

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Answer:

20 degrees

Step-by-step explanation:

If ZWV = 115 then ZYX = 115.

115 + 45 = 160, 180 - 160 = 20

9514 1404 393

Answer:

  A, D, E

Step-by-step explanation:

When the graph of a relation is a straight line, the relation is said to be "linear." When the graph of the line goes through the origin (x, y) = (0, 0), then the relation is both "linear" and "proportional."

The "rate of change" of a line is the ratio of "rise" to "run". On a graph of a line, it is convenient to determine "rise" and "run" using points where the line crosses grid intersections. Of course, there is a crossing here at (0, 0). We notice another grid intersection crossing at the point corresponding to x=2 and y = -6. Then the "rise" (y-change) divided by the "run" (x-change) is ...

  rate of change = rise/run = -6/2 = -3

__

The equation of a line representing a proportion is of the form ...

  y = kx

for some constant k. That constant is the "rate of change" of the proportion. Here, we found that rate of change to be -3, so the equation of the line is ...

  y = -3x

Answer:

it is 5.25

Step-by-step explanation:

ignore this i just need more letters XD

Answer : 5.25

explanation : 1/4 automatically is 25 because it's 1/4 of 100. 5 stays the same. 5.25

Answer:

no

Step-by-step explanation:

Answer:

y=2/3x+8/3

Step-by-step explanation:

Here ya go!!

Answer:

The correct answers are 120°, 180°

An equation is formed of two equal expressions. The solutions for the interval 0° ≤ x < 360° are 120° and 180°.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

cos(x/2) = cos(x) + 1

cos(x/2) - cos(x) - 1 = 0

Let u=(x/2), therefore, the equation can be rewritten as,

cos(u) - cos(2u) - 1 = 0

cos(u) - 2cos²(u) + 1 - 1 = 0

cos(u) - 2cos²(u) = 0

-2cos²(u) = -cos(u)

2cos²(u) / cos(u) = 1

2 cos(u) = 1

cos(u) = 1/2

u = cos⁻¹ (1/2)

u = 60°

Since u=(x/2), therefore, the value of x is,

u=(x/2)

x = 120°

Hence, the solutions on the interval 0° ≤ x < 360° are 120° and 180°.

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Answer:

1. 0

3. 17/20

5. 1/21

7 1 7/20

9. 1 7/30

11. 29/40

17. 1/6

13. 4/35

15. 1 1/3

Step-by-step explanation:good luck I hope I didn’t get any wrong

Answer:

y = 3/5x - 4.4

Step-by-step explanation:

let equation if the line be y = 3/5x + b

sub (-6, -8):

-8 = 3/5(-6) + b

b = -4.4

therefore, equation of the line: y = 3/5x - 4.4

Topic: Coordinate Geometry

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