A helicopter hovers 1500 feet above a small island. The
figure shows that the angle of depression from the
helicopter to point P is 40°.
How far off the coast, to the nearest foot, is the island?
400
1500ft
Please help me solve this problem

The difference of the two complex numbers (5 + 3i) and (2 + 9i) is; 3 - 6i.

It follows from the task content that the two difference of the two complex numbers (5 + 3i) and (2 + 9i) be determined.

Since the numbers given are; (5 + 3i) and (2 + 9i).

The difference can be mathematically as follows;

( 5 + 3i ) - ( 2 + 9i )

By the Distributive property; we have;

5 + 3i - 2 - 9i

Collect like terms so that we have;

= 5 - 2 + 3i - 9i

= 3 - 6i

On this note, the difference between the two complex numbers is; 3 - 6i.

Read more on subtraction of complex numbers;

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Answer:

The correct choices are the first, second, and fifth options.

Step-by-step explanation:

Edge 2021

Answer:

a,b and e

Step-by-step explanation:

on edg 2021

2 = 9

9 ÷ 2 = 4.5

4.5 x 6 = 27

It will cost 27 pounds.

Hope this helps; have a great day!

Answer:

133 square centimeters

Step-by-step explanation:

Answer:

Surface A≈146.25 square centimeters

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

From the box plot given for the two different groups.

Group A fertilizer has a median value of about 3. The first quartile value (Q1) is 2 and the third quartile (Q3) value is about 3.5.

Group B gertizer has a median value of 3.5, with the first and third quartile measuring about 2.5 and 4.5 respectively.

The variability of the data can be measured using the range :

Group A data has :

Maximum value of 4

Minimum value of 1.5

Range = maximum - minimum ; 4 - 1.5 = 2.5

Group B data has :

Maximum value of 5

Minimum value of 2

Range = maximum - minimum = 5 - 2 = 3

Answer:

The correct answer is D

Step-by-step explanation:

Boundary points are NOT always solutions

The statement  not true about the boundary line in the graph of a linear inequality in two​ variables is he point on boundary line are always solutions to the linear inequality

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥.

According to the question

Hence, The statement  not true about the boundary line in the graph of a linear inequality in two​ variables is he point on boundary line are always solutions to the linear inequality.

To know more about boundary line in graph of a linear inequality in two variable represent here:

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Answer:

a. False

b. False

c. True

d. True

e. True

Answer: the general equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2, where ( h, k ) is the center and r is the radius

Answer:

its false

Step-by-step explanation: i am 100% sure

Answer:

2.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Im not sure

Answer:

[tex]n = 7[/tex]

Step-by-step explanation:

Given

[tex]\bar x = 8[/tex] --- the mean

[tex]\sum x = 56[/tex] --- sum of scores

Required

The number of scores (n)

This is calculated as:

[tex]\bar x = \frac{\sum x}{n}[/tex]

Make n the subject

[tex]n = \frac{\sum x}{\bar x}[/tex]

[tex]n = \frac{56}{8}[/tex]

[tex]n = 7[/tex]

Answer:

6

Step-by-step explanation:

Answer:

Step-by-step explanation:

cos = adjacent / hypotenuse

Correct choice is B

Answer:

e a d

Step-by-step explanation:

Answer: Diameter: 8

              Area:  201.1

Step-by-step explanation:

Diameter: Use the formula for the area of a circle:

Use the formula for the area of a circle:

A=πr2

Here, the area is 16π:

16π=πr^2

Divide both sides by  π:

16=r^2

Take the square root of both sides:  √16=√r^2

4=r

Since the radius of the circle is 4, the diameter is twice that:

d=4×2=8

Area:

Formula:

A = π r^2

A= Area R= Radius

Add Radius

A= π 8^2

Solve:

Simplify  π⋅8^2

Exact Form:

A=64π

Decimal Form:

A=201.06192982

Answer:

not statistically significant at ∝ = 0.05

Step-by-step explanation:

Sample size( n )  = 61

Average for student leader graduates to finish degree ( x') = 4.97 years

std = 1.23

Average for student body = 4.56 years

Determine if the difference between the student leaders and the entire student population is statistically significant at alpha

H0( null hypothesis ) : u = 4.56

Ha : u ≠ 4.56

using test statistic

test statistic ; t = ( x' - u ) / std√ n

                        = ( 4.97 - 4.56 ) / 1.23 √ 61

                        = 2.60

let ∝ = 0.05 , critical value = -2.60 + 2.60

Hence we wont fail to accept  H0

This shows that the difference between the student leaders and the entire student population is not statistically significant at ∝ = 0.05

Answer:

15 27 44

Step-by-step explanation the two smaller numbers combined has to be bigger than the other number.

Answer:

441 π ft²

Step-by-step explanation:

If you mean volume, this is how it is:

v = πr² × h = π × 7² × 9 = 441π ≈ 1323 ft²

Answer: 17

Step-by-step explanation:

Answer:

your answer is 17

Step-by-step explanation:

pls give brainliest!

Have a great day!

Answer: 4, 800

Step-by-step explanation:

Answer:

B) 28 cm^2

Step-by-step explanation:

First, find the perimeter 5*4=20

A= ½ 2.75(20) = 27.5

(round to the nearest whole number)

Got it right on the test

Answer:

I think it is -2,a+c, than b

Answer:

28

Step-by-step explanation:

Answer:

The student got 28 questions correct and 7 wrong.

Answer:

x=115

Step-by-step explanation:

Straight angle = 180 degrees...

65 is accounted for so...

180-65=115

115 degrees is your final answer :)

Answer:

115

Step-by-step explanation:

x° = 180° - 65°

(Linear pair angles)

x° = 115°

x = 115

Answer:

9 days

Step-by-step explanation:

31.50÷3.50 is 9 and 9×3.50 is 31.50

Answer:

Step-by-step explanation:

17. 1 foot=12 inches

So subtract 12 from 28

28-12

=16

Lena's puppy will grow 16 inches more.

18. The kittens can be

3.4, 3.3, 3.2, 3.1, 3, etc. ( units in ounces)

There are a lot of combinations so you have to find out ALL the possible combined values. ( I don't think I can fit all of them on here you will probaly have to do some work for it)

Hopefully this helps!!!

☁️ Answer ☁️

17. The puppy will grow 16 inches

One foot equals 12 inches. Lena's puppy will grow to be at most 28 inches. 28-12=16 inches.

18. 24.5

the possible values of the combined weights of the kittens is not more than 24.5 ounces. Since there are 7 kittens, the combined weight of the kittens is 7w, therefore the above expression could be read as "The combined weight of the kittens is less than 24.5 ounces

Answer:

[tex]\Huge\boxed{\frac{3}{5}}[/tex]

Step-by-step explanation:

The trigonometric ratio for sine is

sin = opposite over hypotenuse

the opposite side length of L is 6 and the hypotenuse is 10

so sin L = 6 over 10

then we simplify

6/2 = 3

10/2=5

the answer would be 3/5

Answer:

the IQR is 71

Step-by-step explanation:

the Xl is 99 and the Xu is 170. Xu-Xl=71