What is the length of the hypotenuse? Make sure you include measurements.

The time after which the ball strike the ground is \(t = \frac{49(5+\sqrt{5}) }{100}\) or;\(t = \frac{49(5-\sqrt{5}) }{100}\) seconds.

The speed of the ball when launched vertically upward is 19.6 m/s².

The acceleration of the ball, g = - 9.8 m/s²

The final velocity of the ball will be 0 m/s since the ball will reach the maximum height and the ball stops.

u = 0 m/s

Using the equation of motion,

v² = u² + 2as

v² = u² + 2(-g)s

v² = u²- 2gh

( 19.6 )² = 0 - 2(10)h

384.16 = -20h

h = - 19.208 m

Therefore, the total height reached by the ball is 102.9 + 19.208 = 122.108 m

Now, the function for the height of the ball is:

f(t) = - 4t² + 19.6t + 102.9

122.108 = - 4t² + 19.6t + 102.9

- 4t² + 19.6t + 102.9 - 122.108 = 0

- 4t² + 19.6t - 19.208 = 0

4t² - 19.6t + 19.208 = 0

Multiplying by 1000 on each side of the equation.

4000t² - 19600t + 19208 = 0

Solving the quadratic equation,\(t =[\frac{ - ( - 19600 ) \pm \sqrt{(-19600)^{2}-4(4000)(19208)} }{2(4000)} ]\)

Therefore,

\(t = \frac{49(5+\sqrt{5}) }{100}\) or;

\(t = \frac{49(5-\sqrt{5}) }{100}\)

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The shape that we obtained will be a triangle. Then the correct option is E.

In terms of geometry, a pyramid is a polygon that is created by joining an apex and a polygonal base. A triangle known as a lateral face is formed by each base edge and apex. It has a polygonal basis and is a conic solid. There are n + 1 points, n + 1 sides, and 2n edges in a pyramid with an n-sided base. Every pyramid is dual in itself.

If the base of the pyramid is a rectangle then the pyramid is known as a rectangular pyramid.

If the pyramid is separated by slicing a rectangular pyramid perpendicular to its base. Then the shape that we obtained will be a triangle.

Then the correct option is E.

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Answer:

(y-6)*(y-4) = 0

Step-by-step explanation:

If the polynomial zeroes are 4 and -3 then the factors of the polynomial are (y - 4) and (y + 3). Then the polynomial is y² - y - 12.

Polynomial is an algebraic expression that consists of variables and coefficients. Variables are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

The roots of the polynomial factors are 4 and -3.

Then the polynomial factors will be (y - 4) and (y + 3).

Then the polynomial will be

(y - 4) (y + 3)

y² - y - 12

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Answer:

(8-n=4)/4 click brainliest please and click thanks

Step-by-step explanation:

The mathematical expression which represents the phrase four equals the difference between eight and a number and the result is divided by four is (4 = 8 - x)/4.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

As per the given,

Difference of 8 and a number x = 8 - x

4 equal to 8 - x

4 = 8 - x

Now,

The result is divided by 4

Therefore,(4 = 8 - x)/4

Hence "The mathematical expression which represents the phrase four equals the difference between eight and a number and the result is divided by four is (4 = 8 - x)/4".

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Answer:

answer is 5.3 cuz I am smart I learned this so I'm here to help

Answer: x = √-6 - 4

Step-by-step explanation:

x^2+8x+22=0

(x+4)^2 - 16 + 22 = 0

(x+4)^2 + 6 = 0

(x+4)^2 = -6

√(x+4)^2 = √-6

x = √-6 - 4            

√6 = 2.449

Answer:

240 sq ft

Step-by-step explanation:

First turn the 8 yards to feet my multiplying by 3. You get 24.

Then

Add the bases together to get 40 Divide them by the number of bases (2) to get 20

Multiply the 20 by the height, (12) to get 240

240 sq feet

Mark me as brainliest if this helps!

By applying the Pythagorean Theorem, we may determine that the student estimated tanθ, sinθ, cosecθ, and cotθ values incorrectly.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry.

According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle, or, in standard algebraic notation, a² + b², are equal to the squares on the legs.

So, the Pythagorean theorem can be used to find the value of the hypotenuse, which is the first step in determining the trigonometric function.

H² = P² + B²

Now change the value of the terms in the equation above to their known values.

H² = 7² + 24²

H² = 49 + 576

H² = 625

H = 25

The trigonometric functions' values at this time are as follows:

cosθ = -7/25

sinθ = -24/25

tanθ = 24/7

cosecθ = 25/24

secθ = 25/-7

cotθ = 7/24

Therefore, by applying the Pythagorean Theorem, we may determine that the student estimated tanθ, sinθ, cosecθ, and cotθ values incorrectly.

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Complete question:

The point (-7, -24) is on the terminal ray of angle θ which is in standard position. A student found the six trigonometric values for angle θ. The student’s answers are shown

Answer:

36-0.2d

Step-by-step explanation:

d refers to the number of days

This should work for your question if not I'm very sorry

The required expression for the decreasing depth of the pond is y = 36 - 0.2x, Where y is the depth of the pond after x days.

The equation is the relationship between variables and constants represented as y = ax + b  is an example of a polynomial equation.

Here,
The water depth of a pond is initially 36 inches
The water depth of a pond decreases at a rate of 0.2 inches per day through evaporation.
Let the number of the days be x , and the depth left be y
According to the question,
Total depth in x days = 0.2x
Total remaining depth = 36 - 0.2x
or
y = 36 - 0.2x

Thus, the required expression for the decreasing depth of the pond is y = 36 - 0.2x, Where y is the depth of the pond after x days.

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One main disadvantage of piece rate or commission pay is low quality.

Piece rate or commision pay involves paying workers based on coverage or performance. This way the company is able to cut short excess salary especially for low performing workers.

However, a notable disadvantage of piece-rate pay is that it can lead to employees sacrificing quality for quantity. When employees are paid based on the number of units they produce, they may be tempted to produce low-quality products in order to meet their quotas. This can damage the company's reputation and lead to customer dissatisfaction.

Therefore, piece rate pay will often lead to quality reduction.

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Answer:

The area is 112.

Step-by-step explanation:

14 x 16 = 224

224/2 = 112

Answer:

D (8, 11, 13, 13,17,20,23)

Step-by-step explanation:

I did this and got it correct.

Answer:

right π/2

Step-by-step explanation:

The function f(x) = 2sin(x - π/2) is a sine function with a period of 2π, an amplitude of 2, and a phase shift of π/2. The phase shift of π/2 causes the graph of the function to be shifted π/2 units to the right. .

Therefore, the correct answer is right π/2

Answer:

C

Step-by-step explanation:

For lines AC and EF, line FC is a transversal.

Angles ACF and EFC are same side interior angles.

Since their measures add to 180°, then the lines are parallel.

Answer: Choice C

Answer:

To find the total distance, we need to add up the distance the student ran in the first 5 days and the distance the student ran in the next 5 days.

Distance for the first 5 days = 3 1/2 miles/day × 5 days = 17.5 miles

Distance for the next 5 days = 4 1/4 miles/day × 5 days = 21.25 miles

Total distance = Distance for the first 5 days + Distance for the next 5 days

Total distance = 17.5 miles + 21.25 miles

Total distance = 38.75 miles

Therefore, the student ran a total of 38.75 miles during these 10 days.

Using the probability concept, the likelihood of landing on 2 or 3 is given by:

\(p = \frac{3}{8}\)

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Researching this problem on the internet, considering the areas of 2 and 5 counting twice, the spinner has 8 areas, out of which 3 are 2 or 3, hence the probability is given as follows:

\(p = \frac{3}{8}\)

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Answer:

4x² + 22x - 12

Step-by-step explanation:

A = bh/2

A = (4x - 2)(2x + 12)/2

A = (8x² + 48x - 4x - 24)/2

A = (8x² + 44x - 24)/2

A = 4x² + 22x - 12

Answer:

24 and 27

Step-by-step explanation:

√600 = 24.4

√700 = 27.7

So, the numbers should be around 24 and 27

thus you have option 3

Answer:

4/8 4/6

Step-by-step explanation:

those are the only ones I could give but there should be more the step by step is pay attetion in class but if u looks at those they are equal vent so therefore they are its equals

Answer:

195°

Step-by-step explanation:

Answer:

y = -1/3x + 6\(\frac{2}{3}\)

Step-by-step explanation:

First, change the original equation to slope intercept form:

y + 4 = 3x

y = 3x - 4

Now, find the slope of the perpendicular line. It will be the opposite reciprocal:

The opposite reciprocal of 3 is -1/3.

Next, plug this into the slope intercept equation along with the given point, so we can solve for b:

y = mx + b

6 = -1/3(2) + b

6 = -2/3 + b

6.67 = b

So, the equation will be y = -1/3x + 6\(\frac{2}{3}\)

You can split up the length of AE into the lengths of the line segments connecting adjacent points:

AE = AB + BC + CD + DE

Plug in everything you know and solve for DE :

9 = (2 1/2) + (4 1/3) + (1 2/3) + DE

Rewrite the mixed numbers as improper fractions with a common denominator.

2 1/2 = 4/2 + 1/2 = 5/2 = 15/6

4 1/3 = 12/3 + 1/3 = 13/3 = 26/6

1 2/3 = 3/3 + 2/3 = 5/3 = 10/6

9 = 54/6

So we have

54/6 = 15/6 + 26/6 + 10/6 + DE

⇒   DE = (54 - 15 - 26 - 10)/6 = 3/6 = 1/2

(It looks as though you will need to enter 1 in the top box and 2 in the bottom one)

Answer:

Seventeen thousand, two hundred and eight kilometers per hour.

Answer:

R = (0,-8)

Step-by-step explanation:

Let's look at the difference between S, and the midpoint M.

S(6,0) - M(3,-4) = N(3,4) This will help us find R(x,y)

Next, take M, and subtract N from it.

M(3,-4) - N(3,4) = (0,-8). This is the value of R.

Answer:

41 pages of notes

Step-by-step explanation:

Since he took 1 page of notes for each hour, and attended 33 hours of class, this will add 33 pages of notes to his notebook.

To find the total, add 8 to this, because he already had 8 pages on his own.

33 + 8

= 41

So, he will have 41 pages of notes in his notebook

Answer:

He will have 41 pages of notes in his notebook.

Step-by-step explanation:

(33*1)+8

30*1=30

3*1=3

30+3=33

33+8

41

8.99ft rate is the people moving apart 15 minutes after Lyudmyla starts walking.

We’ve defined x and y to be the distance john and Lyudmila, respectively, have traveled since they started walking.

As these distances are increasing, the rates of change will be positive for both.

dx/dt=4ft/s  dy/dt=5ft/s

We can calculate x and y as well:

x= 4ft/s· 20 min · 60 s/min = 4, 800 ft

y = 5ft/s·15 min · 60 s/min = 4, 500 ft

We’re interested in how fast the distance between John and Lyudmyla is changing, the distance is labeled as z. This means we want to find dz/dt

We need an equation that relates x, y, and z. so we can use the Pythagorean Theorem:

It is the way in which you can find the missing length of a right-angled triangle.

It is in the form of a²+b²=c²

(x + y)^2 + 500^2 = z^2

This also gives us that z ≈ 9313.43 ft after the woman has been walking for 15 minutes.

Differentiating this we get

2(x + y) ·(dx/dt +dy/dt )= 2zdz/dt

Plug in our values, and we get that dz/dt ≈ 8.99ft

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Well formatted version of the question can be found in the picture attached below :

Answer:

Both Carlos and Irene

Step-by-step explanation:

Given the expression (28x - 8)

Carlos : 2(14x - 4)

Danny : 7(4x - 1)

Irene : 4(7x - 2)

The factored expression Given by Carlos, Irene and Danny can be expanded to check if it gives the same expression as that Given in the question :

Carlos :

2(14x - 4)

2*14x - 2*4

28x - 8

Danny :

7(4x - 1)

7*4x - 7*1

28x - 7

Irene :

4(7x - 2)

4*7x - 4*2

28x - 8

From.the expanded solutions obtained ;

Both Carlos and Irene's solution corresponds to the factored form of the original equation and are Hence correct

a. The shape οf the distributiοn οf the sample mean time is nοrmal.

b. The standard error is 0.5345.

Standard deviatiοn is: It is a measure οf hοw spread οut numbers are. It is the square rοοt οf the Variance, and the Variance is the average οf the squared differences frοm the Mean.

Given that:

μ =35

σ = 2

n = 14

a. The shape of the distribution of the sample mean time is normal.

b. To calculate the standard error of the mean time, we would apply this formula,

Standard error :

\($ \rm SE = \frac{ \sigma}{\sqrt{(n)} }\)

\($ \rm SE = \frac{ 2}{\sqrt{(14)} }\)

SE = 0.5345

Thus, the standard error is 0.5345.

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Complete question:

Majesty Videο Prοductiοn Inc. wants the mean length οf its advertisements tο be 30 secοnds. Assume the distributiοn οf ad length fοllοws the nοrmal distributiοn with a pοpulatiοn standard deviatiοn οf 2 secοnds. Suppοse we select a sample οf 16 ads prοduced by Majesty.

a. What can we say abοut the shape οf the distributiοn οf the sample mean time?

b. What is the standard error of the mean time?