A plane takes off from an airport at an angle of 14.5°. If the plane is traveling at a velocity of 220 feet per second, how high off of the ground is the plane at 10 seconds?

Answers

Answer 1

The distance of the plane travelling at 220 feet per second off the ground is 151.71feet

How to calculate the maximum height of an object

Maximum height of the plane is expressed as:

[tex]M=\frac{u^2sin^2\theta}{2g}[/tex]

u  is the velocity = 220ft/s

θ is the angle of elevation = 14.5°.

g is the acceleration due to gravity

Substitute

[tex]M=\frac{u^2sin^2\theta}{2g}\\M=\frac{220^2sin^2(14.5)}{2(10)}\\M=151.71feet[/tex]

Hence the distance of the plane off the ground is 151.71feet

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Related Questions

expand and simplify (x+3)(x+5)

Answers

Answer is ^2+8x+15 and this is how you do it

Answer:

(x+3)(x+5)

x( x + 5) +3 ( x + 5)

x² + 5x + 3x + 15

x² + 8x + 15

What strategy would be the best to solve this problem?


To get into shape, Miles ran for 1 minute on Monday, 3 minutes on Tuesday, 6 minutes on Wednesday, and 10 minutes on Thursday. If he continues, how many minutes will Miles run on Sunday?

A. guess, check and revise

B. work backwards

C. use a formula

D. look for patterns

Answers

Answer:

D. look for patterns

Step-by-step explanation:

Number the weekdays, and relevant time, then look for the pattern

Monday = 1, time = 1 minTuesday = 2, time = 3 minWednesday = 3, time  = 6 minThursday = 4, time = 10 minFriday = 5, time = xSaturday = 6, time = ySunday = 7, time = z

We get the series:

1, 3, 6, 10, x, y, z

If you notice, the difference between the terms is:

2, 3, 4, ...

It indicates the following terms are:

x = 10 + 5 = 15y = 15 + 6 = 21z = 21 + 7 = 28

Since z represents the seventh term, the running time on Sunday is 28 minutes.

As we see looking for patterns helped to solve the question.

Correct choice is D

Answer:

D

Step-by-step explanation:

Because its D

AB - CD + 2D x A x (AC - BD

also i know it says im old but im in middle school

b=4 a=3 c=6 d=2

Answers

-120

12-12+4x3x(18-8)
12-12+4x3x10
12-12+120
12-132
=-120

Benito made a small pitcher of fruit punch. He mixed together lemonade and cherry juice. Use the picture to find the amount of juice Benito made. A 9 liters В 100 milliliters C 900 milliliters D2 liters 900 milliliters​

Answers

The amount of juice by Benito is an illustration of volumes

The amount of juice made is 900 milliliters

How to determine the amount of juice made?

The question is incomplete, as the figure and the dimensions are not given.

So, I will give a general solution

Assume the following parameters

Shape of the punch = CylinderRadius = 4Height = 18

The amount of juice would be:

V = πr^2h

This gives

V = 3.14 * 4^2 * 18

Evaluate

V = 904.32

Approximate

V = 900

Hence, the amount of juice made is 900 milliliters

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How many 1/ 4 cup servings are in a package of cheese that contains 6 and 1/2 cups altogether?

Answers

in essence, how many times does 1/4 go into 6 and 1/2?

[tex]\stackrel{mixed}{6\frac{1}{2}}\implies \cfrac{6\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{13}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{13}{2}\div \cfrac{1}{4}\implies \cfrac{13}{2}\cdot \cfrac{4}{1}\implies \cfrac{13}{1}\cdot \implies \cfrac{4}{2}\cdot 13\cdot 2\implies 26[/tex]

: the mass of an average classroom meter stick is roughly 0. 2 kg.

the mass of the moon is approximately 7*1022 kg.

question 1: how many meter sticks does it take to equal the mass of the moon? explain or show your reasoning

Answers

Using proportions, it is found that it takes [tex]3.5 \times 10^{23}[/tex] meter sticks to equal the mass of the moon.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, one meter stick has a mass of 0.2 kg. How many meter sticks are needed for a mass of [tex]7 \times 10^{22} \text{kg}[/tex]? The rule of three is given by:

One meter stick - 0.2 kg

x meter sticks - [tex]7 \times 10^{22} \text{kg}[/tex]

Applying cross multiplication:

[tex]0.2x = 7 \times 10^{22}[/tex]

[tex]x = \frac{7 \times 10^{22}}{0.2}[/tex]

[tex]x = 35 \times 10^{22}[/tex]

[tex]x = 3.5 \times 10^{23}[/tex]

It takes [tex]3.5 \times 10^{23}[/tex] meter sticks to equal the mass of the moon.

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Round 77.1110969489 to the nearest hundred-thousandth

Answers

77.11110 it’s the nearest hundred- thousandth


A cone has a base radius of 4.3 cm and perpendicular height of 8.4 cm.
It has the same volume as a sphere. Find the radius of the sphere.

Answers

Answer:

R=3.38627

Step-by-step explanation:

Please I need help
Will give brainlest answer !!!!!!

Answers

Answer:

See below ↓

Step-by-step explanation:

We need to check the different time intervals to find the max. height

t = 0 or 1 [both give same result]f(1) = -16(1) + 16(1) + 12 = 12 feet

   2. t = 2

f(2) = -16(2)² + 16(2) + 12 = -20 feet

⇒ Clearly as she is diving, her maximum height will be her initial height which is 12 feet

⇒ To achieve this, it takes her 0 seconds [initial height = no time needed]

Taking f(x) = 0 [surface of water → just touching/hit the water]

0 = -16x² + 16x + 124x² - 4x - 3 = 04x² - 6x + 2x - 3 = 02x(2x - 3) + 1(2x - 3) = 0(2x + 1)(2x - 3) = 0x is positivex = 3/2 = 1.5 seconds

⇒ After 1 second, she is 12 feet above the water

⇒ The diving board is 12 feet above the water

The base of the sailboat is 9ft and the height is 15 what is the area??

Answers

A= 1/2 X base X height
a= 1/2 times 9 times 15 EQUALS TO 67.5
i hope this helps

Find the area of the figure. Use 3.14 for π.

Answers

Total Area:- Area of square + area of Semicircle

Total area :- (L×B)+ (½× πr²)

Total area:- (12×12)+(½×π6²)

Total area:- 144+(½× 113)

Total area:- 144+ 56.5

Total area :- 200.5

Please answer asap, 30+ points

Answers

Step-by-step explanation:

please mark me as brainlest

A straw is placed inside a rectangular box that is 3 inches by 6 inches by 8 inches, as shown. If the straw fits exactly into the box diagonally from the bottom left corner to the top right back corner, how long is the straw? Leave your answer in simplest radical form.

Answers

The straw is placed diagonally in the rectangular prism, therefore, the length of the straw is √109 inches

How to find the diagonal of a rectangular prism?

Diagonal of a rectangular prism = √(l² + w² + h²)

Where,

l = lengthw = widthh = height

Therefore,

l = 6 inches

w = 3 inches

h = 8 inches

diagonal = √(6² + 3² + 8²)

diagonal = √36 + 9 + 64

diagonal = √109 inches

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WILL GIVE BRAINLIST IF SHOWS MUST BE CORRECT

The number of goals scored by players on a soccer team is represented by the box plot below.



The measure of variability that best describes how the values in this data set vary is
A. Median
B. mean absolute deviation
C. interquartile range
D. mean
E. mode
because
A. there is an odd number of values in the data set
B. there is an outlier in the data set
C. the data distribution is symmetric
.

Answers

The measure of variability that describes the values in the box plot is: C. interquartile range, because: C. the data distribution is symmetric.

What is a Symmetric Data Distribution in a Box Plot?

A symmetric data distribution is depicted on a box plot when the median is in the middle of the rectangular box, and the whiskers are of almost the same length at both sides of the box. Such data distribution is said to be normally distributed.

A normally distributed data distribution is symmetric.

Interquartile range is a measure of variability in a box plot, which is the range of the rectangular box.

Therefore, the measure of variability that describes the values in the box plot is: C. interquartile range, because: C. the data distribution is symmetric.

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Due on Monday.
Show step by step
[tex]7n^{2} -7[/tex]

Answers

7n2-7 = 7 (n -1)(n+1)

Answer: 7(n + 1)(n - 1)

Step-by-step explanation:

[tex]7n^2-7[/tex]

[tex]\mathrm{Rewrite\:}7\mathrm{\:as\:}7\cdot \:1[/tex]

[tex]=7n^2-7\cdot \:1[/tex]

[tex]$$ Factor out the common term 7[/tex]

[tex]=7\left(n^2-1\right)[/tex]

[tex]$$ Factor $n^2 - 1[/tex]

[tex]\mathrm{Rewrite\:}1\mathrm{\:as\:}1^2[/tex]

[tex]=n^2-1^2[/tex]

[tex]$$ Apply difference of two squares formula $ x^2 - y^2 = (x+y)(x-y)[/tex]

[tex]n^2-1^2=\left(n+1\right)\left(n-1\right)[/tex]

[tex]\therefore \bf{7\left(n+1\right)\left(n-1\right)}[/tex]

Plssss help me with this!!!! It’s really hard

Answers

Answer:

2x < 10 would show that even 'if' x would make 2 larger, it still wouldn't match up to 10. But in this case, 2 would turn into 10. 10 = 10.

Ben has agreed to play fewer video games and spend more time studying. He has agreed to play less than 10 hours of video games each week. On Monday through Thursday, he plays video games for a total of 5 1/2 hours. For the remaining 3 days, he plays video games for the same amount of time each day. Find t, the amount of time he plays video games, for each of the 3 days.

Answers

Answer:

t < 1.5

Step-by-step explanation:

Mon-Thu: 5.5 hours

each of the remaining 3 days: t hours each day

total time: 3t + 5.5

The total time must be less than 10 hours.

3t + 5.5 < 10

3t < 4.5

t < 1.5

Toni typed 600 words in 1hour, 250 words in 20 minutes and 480 words in 40minutes. How many words did Toni typed in 2 hours?


a 1 113 words

b 3 113 words

c 1 330 words

d 1 130 words

Answers

1hour=600

2hour=600+600

=1200words

Which student solved the equation 107 d = 1,733.4 correctly?
Gianna's work: 107 d = 1,733.4. 1,733.4 times 107 = 185,473.8.
Teddy's work: 107 d = 1,733.4. 1,733.4 minus 107 = 1,626.4.
Sid's work: 107 d = 1,733.4. 1,733.4 + 107 = 1,880.4.
Sammi's work: 107 d = 1,733.4. 1,733.4 divided by 107 = 16.2.

Answers

Answer:

Sammis work is correct

Step-by-step explanation:

when handling equations such as 107d= 1,733.4

you see that d is being multiplied to 107 to equal the total,

so to find the answer to d you would divide 107 by the total to get your value of d

Answer:the last one

Step-by-step explanation:

Please help this is using the digits 0 to 9​

Answers

Answer:

1% of 100 = 1

Step-by-step explanation:

simple and easy :D hope this helps

Three playing cards in a row. Can you name them with these clues? There is a two to the right of a king. A diamond will be found to the left of a spade. An ace is to the left of a heart. A heart is to the left of a spade. Now, identify all three cards.

Answers

Answer:

Ace of Diamonds, King of Hearts, Two of Spades ( hope this helps)

At a height of 316 meters, the Bell Tower is the tallest building in Morgansville. Hank is creating a scale model of this building using

the scale 100 meters: 1 meter.

To the nearest tenth of a meter, what will be the height of the scale model?

Answers

Answer:

Scale: 100 meters per 1 meter

Actual: 316 per unknown meters(our scale)

So order our units:-

Scale          1                 x

_______   _______ =  _______, solve for x;

Meters      100           316

1/100 = x/316

*316      *316

3.16 = x, 3.16 rounded = 3.20 is the scale.

N is an integer and -2

Answers

Answer:

(2) n > 6 (3) -4, -3, -2, -1, 0, and 1.

Step-by-step explanation:

(2) to solve first we subtract 12n from both sides making it 3n > 18 then we divide 3...making it n>6 (remember if you're solving an inequality its not unlike solving an equation)

(3) For this let's separate it into -2<n+3 which solving gets us n > -5

Steps: we subtract 3 from both sides again which makes it -5 < n but usually the variable should go to the left of an equality so n> -5

The other part is n+3 is less than equal to 4. which equals n is less than equal to 1 (I think you get how to solve now :)

once we combine both of the inequalities you'll get -5<n less than equal to 1. Which means the possible values are -4, -3, -2, -1, 0, and 1.

(a). The solution is [tex]n > 6[/tex]

(b). The all possible values of n are [tex]-4,-3,-2,-1,0,1[/tex]

Inequality:

(a). The given inequality is;

                  [tex]15n > 12n+18[/tex]

Now we have to solve inequality,

                    [tex]15n > 12n+18\\\\15n-12n > 18\\\\3n > 18\\\\n > 18/3\\\\n > 6[/tex]

(b).  Inequality is [tex]-2 < n+3\leq 4[/tex]

  Now we have to solve inequality,

                    [tex]-2 < n+3\leq 4\\\\-2-3 < n\leq 4-3\\\\-5 < n\leq 1[/tex]

So that, the all possible values of n are [tex]-4,-3,-2,-1,0,1[/tex]

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If the coefficient of determination is 0. 12 and ssy = 225, then what is the sum of squares regression for an analysis of regression?

Answers

The coefficient of determination is the ratio of the sum of squares regression and the ssy

The sum of squares regression is 27

How to determine the sum of squares?

The given parameters are:

Coefficient of determination, R^2 = 0.12

SSy = 225

The coefficient of determination is calculated as:

R^2 = SSR/SSY

So, we have:

0.12 = SSR/225

Make SSR the subject

SSR = 0.12 * 225

Evaluate the product

SSR = 27

Hece, the sum of squares regression is 27

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The sum of squares regression is 27

What is the coefficient of determination?

The coefficient of determination or R squared method is the proportion of the variance in the dependent variable that is predicted from the independent variable.

The coefficient of determination is calculated by using the following formula;

[tex]\rm R^2 = \dfrac{SSR}{SSY}\\\\ 0.12= \dfrac{SSR}{225}\\\\ SSR = 225 \times 0.12 \\\\ SSR = 27[/tex]

Hence, the sum of squares regression is 27.

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#SPJ3


polar & rectangular equations

Answers

Answer:

13.  [tex]x^2+y^2+2x-3\sqrt{x^2+y^2}=0[/tex]

14.  [tex]r=3\cos(\theta)-2\sin(\theta)[/tex]

Step-by-step explanation:

Question 13

Conversion from Polar equation to rectangular equation:

[tex]x=r \cos(\theta) \implies \cos(\theta)=\dfrac{x}{r}[/tex]

[tex]y=r \sin(\theta) \implies \sin(\theta)=\dfrac{y}{r}[/tex]

[tex]x^2+y^2=r^2 \implies r=\sqrt{x^2+y^2}[/tex]

Given:

[tex]r=3-2\cos(\theta)[/tex]

[tex]\textsf{Substitute }\cos(\theta)=\dfrac{x}{r}:[/tex]

[tex]\implies r=3-\dfrac{2x}{r}[/tex]

Multiply both sides by r:

[tex]\implies r^2=3r-2x[/tex]

[tex]\implies r^2+2x-3r=0[/tex]

[tex]\textsf{Substitute }x^2+y^2=r^2\:\textsf{and }r=\sqrt{x^2+y^2}:[/tex]

[tex]\implies x^2+y^2+2x-3\sqrt{x^2+y^2}=0[/tex]

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

Question 14

Conversion from Rectangular equation to polar equation:

[tex]x=r \cos(\theta)[/tex]

[tex]y=r \sin(\theta)[/tex]

[tex]x^2+y^2=r^2 \implies r^2\cos^2(\theta)+r^2\sin^2(\theta)=r^2[/tex]

Given:

[tex]x^2+y^2-3x+2y=0[/tex]

[tex]\textsf{Substitute }x^2+y^2=r^2\:\textsf{and }x=r \cos(\theta)\:\textsf{and }y=r \sin(\theta):[/tex]

[tex]\implies r^2-3r\cos(\theta)+2r\sin(\theta)=0[/tex]

Factor out common term r:

[tex]\implies r(r-3\cos(\theta)+2\sin(\theta))=0[/tex]

Divide both sides by r:

[tex]\implies r-3\cos(\theta)+2\sin(\theta)=0[/tex]

Rewrite to make r the subject:

[tex]\implies r=3\cos(\theta)-2\sin(\theta)[/tex]

The area of a circular fountain is 121pi square feet. What is the diameter of the fountain?

Answers

Answer:

22 feet

Step-by-step explanation:

Area of circle = pi(r²)

the square root of 121 is 11, so r = 11

d = 2r

d = 22

8,14,20, Find the 49th term.

Answers

Answer:

2,8,14,20...… the 49th term is 294.

Step-by-step explanation:

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

Answer:

294

Step-by-step explanation:

formula

an=a1 +(n-1)d

n= unknown term

d= difference between each term

8=a1

14=a2

20=a3

a49=8+(49-1)×(6)

a49= 8+ 48 ×(6)

a49= 8+ 288

a49= 294

Which ordered pair is the solution of the system of a linear equation? (See image)

Answers:

(-4,-2)

(-4,2)

(-2,-4)

(2,4)

Answers

Check the picture below.

Which algebraic expressions are binomials? Check all that apply.

xyStartRoot 8 EndRoot

x2y – 3x

6y2 – y

y2 + StartRoot y EndRoot

4xy – two-fifths

x2 + StartFraction 3 Over x EndFraction

Answers

The algebraic expressions out of the given options that are binomials is given by: Option B: x^2y - 3x and Option D: 4xy - 2/5

What are polynomials?

Polynomials are algebraic expressions having only addition, subtraction, multiplication and exponentiation (non-negative) of variables involved in it.

What are terms in polynomials?

Terms are added or subtracted to make a polynomial. They're composed of variables and constants all in multiplication.

Example:

[tex]x^3 + 3x +5[/tex]

is a polynomial consisting 3 terms as

[tex]x^3[/tex], 3x and 5

If there is one term, the polynomial will be called monomial.If there are two terms, the polynomial will be called binomialIf there are three terms, the polynomial will be called trinomial

Checking all the options:

Option 1: [tex]xy\sqrt{8}[/tex]

It has only one term, so its not a binomial.

Option 2: [tex]x^2y - 3x[/tex]

It has two terms, and there is only integer powers of variables and variables are in multiplication in forming terms, so its a polynomial.  And because of two terms and being polynomial, it is binomial.

Option 3: [tex]y^2 + \sqrt{y}[/tex]

Because of square root over variable 'y', the variable 'y' got non-integer power 1/2 as square root is also written as exponentiation by 1/2.

Thus, its not a polynomial.

Option 4: [tex]4xy - 2/5\\[/tex]

Its a polynomial as there are constants only and variables with multiplication. And because of two terms and being polynomial, it is binomial.

Option 5: [tex]x^2 + \dfrac{3}{x}[/tex]

we can write the second term as:

[tex]\dfrac{3}{x} = 3x^{-1}[/tex]

Thus, the variable x has negative power. Thus, its not a polynomial. Or simply, since the variable is in division in simplified form, therefore, its not a polynomial.

Thus, the algebraic expressions out of the given options that are binomials is given by: Option B: x^2y - 3x and Option D: 4xy - 2/5

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Solve each system by substitution. Show all work.

y = -3x
y= x-4

Answers

since  y = - 3x and y = x - 4

we have

- 3x = x - 4

4x = 4

x = 1

and then y = - 3 * 1 = - 3

(1 ; - 3)

Answer:

(1,-3)

Step-by-step explanation:

y = -3x

y= x-4

Substitute -3x for y in the second equation

-3x = x-4

Subtract x from each side

-3x-x = x-4-x

-4x = -4

Divide each side by -4

-4x/-4 = -4/-4

x=1

Now we can find y

y = x-4

y = 1-4

y= -3

(1,-3)

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The adrenal gland as a whole functions to respond to:blood sugar levels.digestion.oxygenation levels.stress. wich expression shows a way to factor 15+18 The first use of the phrase is matter-of-fact. In the second stanza, the statement is followed by a period, which shows resignation. However, at the end of the poem, Dunbar almost shouts the phrase defiantly. The mask seems to become something he wears proudly. Through this gradual emphasis on the phrase, Dunbar could be implying that pls help ill give brainliest and 5 starts who is the boy in the story? THE QUEUE A dodgeball has a volume of approximately 113.04 cubic inches. Find the circumference of the ball. Use3.14 for O.14 Which detail from the passage best supports the idea that Tom wanted to whistle well?A. he was determined to practice it undisturbedB. It consisted in a peculiar bird-like turn, a sort of liquid warbleC. produced by touching the tongue to the roof of the mouth at short intervals in the midst of the musicD. a new and powerful interest distracted him Identifying balanced and unbalanced forces Identify the situations that have an u balanced force. Check all that apply A baseball speeds up as if it falls through the airA soccer ball is at rest on the ground An ice skater glides in a she ighr like at a constant speed A bumper car hit by another car moves off an angle A bin goes across the room when the air is released What does Emerson mean by nature? Find the mean of the data.55,64,58,43,49,67 Please!! Using the Internet, local newspapers, and/or any regional information, write a 600 word report on one of the following companies:Coca-Cola McDonald's ServiceMaster Southwest AirlinesGive some of the reasons for their success in the business world. Do they emphasize friendliness? How does management treat workers? How does the company handle complaints?You may want to give a local representative a phone call or e-mail and ask for some further information. There are 40%bananas and 50% apples in a bowl. How many more percentage points apples should be there so that apples become 50% more than bananas Smith Auto uses a sales journal, purchases journal, cash receipts journal, cash payments journal, and general journal How do paragraphs 1 and 2 contribute to the overallstructure of Assignment Day"?aThey establish the challenging livingconditions that affect the characters' lives.b They introduce some historical backgroundinformation about a main character.e from greatthe middleish glowtened andetweenole might asThey build tension among characters that isresolved later in the passage.They hint at a significant decision that thecharacters must make.arrald Original price 770$ is on sale at a 9% off what is the discount amount and sale price ? Balanced equation for formation of potassium suberate from cyclooctene Question 17 of 30 Will the answer to the subtraction problem below be odd or even? 743 - 353 = ? O A. Odd B.Even What value completes this expression?4m + ____m = 4m (1 + 6) There is a bag a filled with 3 blue and 4 red marbles.A marble is taken at random from the bag, the colour is noted andthen it iS not replaced.Another marble is taken at random.What is the probability of getting 2 of the same colour? ylinder has a base radius of 9 feet and a height of 4 feet. What is its volume in cubic feet, to the nearest tenths place?