Find the missing side of the triangle

Given:

The height of a golf ball is represented by the equation:

[tex]y=x-0.04x^2[/tex]

To find:

The maximum height of of Anna's golf ball.

Solution:

We have,

[tex]y=x-0.04x^2[/tex]

Differentiate with respect to x.

[tex]y'=1-0.04(2x)[/tex]

[tex]y'=1-0.08x[/tex]

For critical values, [tex]y'=0[/tex].

[tex]1-0.08x=0[/tex]

[tex]-0.08x=-1[/tex]

[tex]x=\dfrac{-1}{-0.08}[/tex]

[tex]x=12.5[/tex]

Differentiate y' with respect to x.

[tex]y''=(0)-0.08(1)[/tex]

[tex]y''=-0.08[/tex]

Since double derivative is negative, the function is maximum at  [tex]x=12.5[/tex].

Substitute [tex]x=12.5[/tex] in the given equation to get the maximum height.

[tex]y=(12.5)-0.04(12.5)^2[/tex]

[tex]y=12.5-0.04(156.25)[/tex]

[tex]y=12.5-6.25[/tex]

[tex]y=6.25[/tex]

Therefore, the maximum height of of Anna's golf ball is 6.25 units.

Answer:

1/4 L

Step-by-step explanation:

2 1/2=10/4  10/4*3/4=30/16= 1 7/8

1 7/8=15/8        10/4*2=20/8          20/8-15/8=5/8

5/8-3/8=2/8 or 1/4 L

Answer: 1/4 L

In bottle 1/4 of chlorine solution is left in bottle.

What is an expression?

Expression in math is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that;

Felicia pours 3/4 of a 2 1/2-liter bottle of chlorine solution into a swimming pool.

And, then she measures out 3/8 liters of the remaining solution to use to clean the pool filter.

Now,

Chlorine solution in bottle = 2 1/2 × ( 1 - 3/4 ) - 3/8

                                        = 5 / 2 × 1/4 - 3/8

                                        = 5 / 8 - 2 / 8

                                        = 1 / 4

Thus, In bottle 1/4 of chlorine solution is left in bottle.

Learn more about the mathematical expression visit:

https://brainly.com/question/3624808

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The complete question is this;

Felicia pours 3/4 of a 2 1/2-liter bottle of chlorine solution into a swimming pool then she measures out 3/8 liters of the remaining solution to use to clean the pool filter how much chlorine solution is left in the bottle?

Answer:

A

Step-by-step explanation:

Hi again. In this case, the graph enlarges. Coefficient of x is <1. Try to substitute x = 3 to (1/3x)^2 and (1/9x^2)

(1/3 * (3))^2=1

Answer:

11

Step-by-step explanation:

Also u can search up mean, median, mode calculator and type in any numbers u want and it will give u the mean, median, mode, range and more

Answer:

x = 5

Step-by-step explanation:

26x + 10x = 180°

36x = 180

x = 180/36

x = 5

Answer:

X = 1/3 (to make it short) plz brainliest

Step-by-step explanation:

Answer:

y=1x+8

Step-by-step explanation:

Answer: w = 2

Explanation: To find the slope of a line, we use the formula y = mx + b, where m is the slope and b is the y-intercept. Since there is a variable, w, we can use this formula: m = 7 + w.

We know that m, or the slope of the line, is 9. If we substitute the value of 9 into that equation... we should get 9 = 7 + w.

It's simple mathematics from here.

7 plus what is 9?? 2. That's your answer. If you need help with slope-intercept and rate of change WITHOUT variables (besides x and y, of course), feel free to let me know!!

Where did I get that 7?

Usually, we use the slope formula to find the slope of a line when we know two points on the line. But if we already know the slope of a line, we can use the slope formula to find a missing coordinate of a point on the line.

We will be using this formula: y - y₂ = m(x - x₁)

This equation is useful when we know:

and we want to find the other point.

(x₁, y₁) is the known point. In our example, it's (-7,-7).

(x, y), sometimes written as (x₂,y₂), is (-6, w) and represents the missing coordinate.

EXAMPLE (SEE IMAGE):

slope (m) = 3

y − y1 = m(x − x1)

We know m, and also know that (x1, y1) = (3,2), and so we have:

y − 2 = 3(x − 3)

That is a perfectly good answer, but we can simplify it a little:

y − 2 = 3x − 9

y = 3x − 9 + 2

y = 3x − 7

EXAMPLE IMAGE:

Answer:

9y-25

Step-by-step explanation:

Answer:

9y-25

Step-by-step explanation:

Math

Answer:

2.2 × [tex]10^{11}[/tex]

Step-by-step explanation:

2.2 × [tex]10^{7}[/tex] + 1 × [tex]10^{4}[/tex]

2.2 × 1 = 2.2

7 + 4 = 11

Answer:

Infinitely many solutions

Step-by-step explanation:

Answer:

4.1

Step-by-step explanation:

Answer:

Laura needs to try 36 more times before the lock is sure to open.

Step-by-step explanation:

Alright, with a three digit lock, there are 9 possible numbers for each digit:

1, 2, 3, 4, 5, 6, 7, 8, and 9.

Since the first one is 3, lets move onto the second digit, which is prime.

Of the numbers between 1-9,

2, 3, 5, and 7 are prime.

With the last digit, it can be any number 1-9.

With all of this, there are 4 combos left for the second digit then 9 combos for the third digit. Therefore, there would be 36 possible combinations as 4 * 9 =36.

Answer:

x + 22x - 3 = 4 (5x) + 3 (x-1)

Step-by-step explanation:

x + 22x - 3  

23x - 3

20x + 3x - 3

5x + 15x + 3x - 3

5x (1 + 3) + 3 ( x - 1)

4 (5x) + 3 (x-1)

Answer: 49/18

Step-by-step explanation:

Hi there! In this problem, you should have the knowledge of three basic Trigonometric Ratio.

Now that we know three basic ratio. Let's check each choices!

This choice is wrong because we focus on the 50° angle. When we focus on 50°, sin50° should be d/x and not d/c.

This choice is also wrong because in ratio, it's cos50° that adjacent/hypotenuse.

This choice is correct! As ratio states, tanA = opposite/adjacent.

This choice is wrong. x/c is a reciprocal of cosine which is 1/cos. We call the reciprocal of cosine as secant or sec in short.

This choice is wrong as x/d is a reciprocal of sine which is 1/sin. We call the reciprocal of sine as cosecant or cosec/csc in short.

This choice is right by the ratio. Nothing really much to explain since we follow by ratio that is defined.

Answer

Questions can be asked through comment.

Furthermore, tan also has its reciprocal form itself which is called cotangent also known as cot in short.

Hope this helps, and Happy Learning! :)

Answer:5x3= 15

The tickets were $15 in total

28-15= 13

13:3= 4’3

Each bag of candy was $4’3

Step-by-step explanation:

Answer:

i think the answer is no i used tge desmo graphing calculator and tht point wasnt on it

Answer: a = 6.53

Step-by-step explanation:

Answer: its HCFD i just did it

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

mean = average so add up all your numbers, then divide by the amount of numbers so

46 + 56 + 64 + 64 + 72 + 76 + 77 + 82 + 94 + 96 + 99 = 826

826 ÷ 11 = 75.09 (about)

Answer: =14/15

Step-by-step explanation: Hope this help :D, Can I have a Brainliest I really needed it please!

Answer:

B

Step-by-step explanation:

Mark me as brainllest

Answer:

i dont know exacly but i know its not 141.3

Step-by-step explanation:

i put that answer and got it wrong

Answer:

37.7

Step-by-step explanation:

Answer:

pues yo pienso que es 8 es que no se muy bien

Answer:

You're answer would be 6.25h+6b=a

Answer:

3.13 kilograms used for the second cake

Step-by-step explanation:

because the fractions have different denominators you have to multiply the denominators together to figure out what to change them too. but instead you can just figure out what the decimal for each is. 1/3 is 0.33, and 4/5 is 0.80. all you do is add these together to get 1.13. so now all you do is add 2+1.13 to get 3.13.

Answer:

Its A

Step-by-step explanation:

Because if you add 3+5 that is 8 so 8/8

Answer:

D : 125°,125°,55°,55°

Step-by-step explanation:

Finding the interior angles makes the question easier.

The two base angles for b1 are both 125°, and the two base angles for b2 are both 55°.

Because a straight line is 180°, we can find the exterior angles by subtracting the interior angles from 180°.

180°-55° = 125°

180°-125° = 55°

Answer:

7.5

Step-by-step explanation:

Pi * r^2 * 12 = 2119.5

r^2 = 56.25

r = sqrt(56.25) = 7.5