An airplane is flying at a height of 200m. Its angle of elevation to an observer on the ground is 230. Calculate the distance of the airplane from the observer.

Answer:

5.46π cm³

Step-by-step explanation:

Volume of sphere= 4/3πr³

= 4/3×π×(1.6)³ cm³

=5.46π cm³

hope this helped you!

Answer:

It’s true

Step-by-step explanation:

Proof by induction

Let the four chosen numbers be x_1, … x_4 and, without loss of generality, let x_1 < x_2, … < x_4.

For x_1 = 1, the smallest possible choice, let x_2 = x_1 + 20 = 21 be the smallest possible choice that has a difference larger than 19. Likewise, x_3 = x_2 + 20 = x_1 + 40 = 41. Then x_4 has to be at least x_3 + 20 = x_1 + 60 = 61 which is out of range.

For the induction, suppose that x_4(n) = x_1(n) + 60 > 60 and therefore x_4(n) can’t be chosen for a given x_1(n). Then incrementing x_1(n+1) = x_1(n) + 1 would require x_4(n+1) to be at least x_1(n) + 1 + 60 = x_4(n) + 1 > 61, so this is out of range as well.

For another induction, suppose that x_4(n) = x_2(n) + 40 > 60 and therefore x_4(n) can’t be chosen for a given x_2(n). Then incrementing x_2(n+1) = x_2(n) + 1 would require x_4(n+1) to be at least x_2(n+1) + 40 = x_4(n) + 1 > 61, so this is out of range as well.

Likewise, for the induction, suppose that x_4(n) = x_3(n) + 20 > 60 and therefore x_4(n) can’t be chosen for a given x_3(n). Then incrementing x_3(n+1) = x_3(n) + 1 would require x_4(n+1) to be at least x_3(n+1) + 20 = x_4(n) + 1 > 61, so this is out of range as well.

Therefore all choices of x_1, x_2, x_3 with differences greater than 19 leaves no choice of x_4 within range with x_4 > x_3 + 19.

Answer:

2 Gallons

Step-by-step explanation:

20.5ft x 16.4ft = 336.2

336.2 divided by 200= 168 gallons

Since you can not buy 1.68 gallons you will have to buy 2 galllons instead.

Answer: z 1/2

Step-by-step

:) 100%

Answer:

c

Step-by-step explanation:

Answer:

[tex]\displaystyle m=\frac{-1}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (3, 7)

Point (9, 5)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

x =18

Step-by-step explanation:

[tex]\frac{x}{6} = 3[/tex]

x = 3 x 6

x = 18

Verify:

[tex]\frac{18}{6} =3[/tex]  (Correct)

Answer:

only 1 and 2 are correct

Step-by-step explanation:

Here, we want to select appropriately

From the question, all we had to do is to make a subtraction; and that is;

3 5/12 -2 2/3

1. 2 8/12 can be reduced to 2 2/3; so the answer here is yes

2. 3 15/36 can be reduced to 3 5/12

and 2 24/36 can also be reduced to 2 2/3; so this is correct also

3. This is wrong

4. This is wrong

Answer:

turning point: (-3 , -16)

Step-by-step explanation:

y = x² + ax + b    pass(0,-7)(7,0)

(0)² + 0*a + b = -7     b= -7

(7)² + 7*a - 7 = 0       7a = 42    a = 6

 y = x² + ax + b = y = x² + 6x - 7 = (x+3)² - 16

(h,k): vertex          equation: y = a(x-h)² + k

h = -3     k=-16

Answer:

49 pound bag=$.19 per pound

one pound = $.41 per pound

Step-by-step explanation:

49 pound bag for $9

$9/49=$0.1836 per pound

49 pound bag=$.19

one pound = $.41 per pound

Answer:

the answer is c or 55

Step-by-step explanation:

good luck on your quiz!

Answer:

Depends on what numbers are there.

Step-by-step explanation:

If the numbers are 0-10 then there is a 50% chance of the spinner stopping on an even number because there is 5 even numbers and 5 uneven numbers.

The probability of the spinner stopping on an even number will be equal to 5/10.

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

The total number on the spinner is 10

The total even number on the spinner is 5.

Probability = 5/10

Therefore, The probability of the spinner stopping on an even number = 5/10

Learn more about probability here;

brainly.com/question/11234923

#SPJ6

Complete question:

Answer:

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

2*2 + 3*6 + 4*x + 5*8 + 6*1 = 84

4*x = 16

x = 4

Right, 8 is the biggest frequency

Answer:

No

Step-by-step explanation:

No, because BA is the same side as EF and the difference is 5. But CA is the same side as ED and the difference is 7.5. All sides would have to increase or decrease by the same number to get to the other triangle and in this case they do not.

Answer:

3x+6 is inverse of 3x-6.it is a additive inverse and if we add both we get 0.

Answer:

45/8, or 5.625

Step-by-step explanation:

20/4 is simplified to 5/1.

5/1 divided by 8/9

5/1 * 9/8

45/8

simplified to 5.625

Answer:

45/8 or 5 5/6.

Step-by-step explanation:

20/4 / 8/9            We invert the second fraction and multiply:

= 20/4 * 9/8

= 180 / 32

= 45/8

= 5 5/8.

Answer:

sum=3.2559347

Step-by-step explanation:

product= 2x6x2 798.364

did it on edginuty and got it right

The total number of red m&m out of all m&m is 2/5.

The total number of green m&m out of all m&m is 1/4.

if we add up 2/5 and 1/4, we can use that information to subtract from the total number of m&m to find the rest of m&m, which would be a total number of white m&m!

2/5 + 1/4 = ?

Common denominator. We will choose 20, since it is the lowest common multiple! (this means that 20/20 is the total number of all m&m, by the way. )

[tex]\frac{2(4)}{5(4)}[/tex] + [tex]\frac{1(5)}{4(5)}[/tex] = 8/20 + 5/20 = a

20/20 - a = ?

ANSWER: 7/20

The probability of selecting a white-colored M&M is 7/20.

The total number of red m&m out of all m&m is 2/5.

The total number of green m&m out of all m&m is 1/4.

if we add up 2/5 and 1/4, we can use that information to subtract from the total number of m&m to find the rest of m&m, which would be a total number of white m&m

2/5 + 1/4 = ?

Common denominator. We will choose 20, since it is the lowest common multiple (this means that 20/20 is the total number of all m&m, by the way. )

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

8/10 +5/20  = 8/20 + 5/20 = a

20/20 - a = ?

Therefore the probability of selecting a white M&M is 7/20.

To learn more about probability visit:

https://brainly.com/question/24756209

#SPJ2

Answer:

Both are equal to [tex]\frac{1}{16}[/tex]

Step-by-step explanation:

If the exponent is negative we can turn it into a fraction and make it positive.

This means the number goes to the denominator and the numerator becomes one. Therefore the following.

[tex]4^{-2} = \frac{1}{4^{2} } =\frac{1}{16}[/tex]

[tex]2^{-4} =\frac{1}{2^{4} } = \frac{1}{16}[/tex]

Answer:

d=  -32

Step-by-step explanation:

d/4+3=-5

d/4=-8

d=4 x (-8)

d= -32

104

Step-by-step explanation:

EUJDJFKFKDEISHXHJRD

Answer:

104

10 × 10 = 100

100 + 4 = 104

Therefor, the answer is 104.

Answer:

James = £60, Ryan = £40 and Jill = £20

Step-by-step explanation:

James - 3, Ryan - 2 and Jill - 1

3 + 2 + 1 = 6

£120 / 6 = 20

Times 20 by each of the three numbers (3, 2 and 1)

3 x 20 = £60 (James)

2 x 20 = £40 (Ryan)

1 x 20 = £20 (Jill)

Answer:

James gets £60

Ryan gets £40

Jill gets £20

Step-by-step explanation:

Add up the ratio which would be 6 then divide it by the original sum which is £120 so the answer would be 20. You would then multiply 20 by each number so 20x3= 60. 20x2= 40. 20x1=20

All these should add up to your original sum and if they do you know you've done it right!

Answer:

18

Step-by-step explanation:

Answer:

53.13°

Step-by-step explanation:

Sin x = Opp/Hyp

Sin x = 76/95

x = Sin- 0.8

=53.13°

Answer:

27

Step-by-step explanation:

It is an equilateral triangle, so all sides are 9 ft. 9*3=27.

Answer:

$217.50

Step-by-step explanation:

$135 + (11*$7.50) = $217.50

Answer:

B

Step-by-step explanation:

26 students = 15 students + 11 students

135 for 1st 15, 7.50 for rest

135 + 7.50(11) = 217.50

Therefore, B

Answer:

-1 < -1.5

Step-by-step explanation:

when using negative numbers, larger numbers will be smaller. so even tho 1.5 seems to be .5 bigger, it is negative, so it is .5 smaller

Answer:

24 / 5 laps

Step-by-step explanation:

Fraction of laps run = 4/5 laps

Number of times lap was run = 6

Fraction representing total laps run :

6 * (4/5)

= 24 / 5

Or

24 /5 = 4 4/5 laps