end
A cruise ship is 1480 feet from a light house off a Caribbean Island.
If the angle of elevation from the cruise ship to the top of the light
house is 4º, what is the height of the lighthouse? Round to the
nearest whole foot.

Answer:

12/13

Step-by-step explanation:

P(not a queen) = 48/52 = 12/13

Answer:

48/52

Step-by-step explanation:

Out of a 52 card deck there are 4 queens

there is  a 48/52 propability you will not be drawn a queen or 92.31% you will not be drawn a queen

Answer:

254.4 in²

Step-by-step explanation:

Area of a circle is given by the formula:

[tex]\pi r^{2}[/tex]

Our radius is 9 so we substitute this into the equation:

π(9)² = 81π

81π = 254.4 in²

Answer:

254 cm^2.

Explain:

The area of a circle is given by pi r squared. Pi has a constant value of 3.14. And the radius of the circle is 9 cm. The area equals pi R² equals 3.14 × 9² CM squared. 3.14 × 81 = 2.54.34cm^2 equals 254cm^2.

Answer:

1,2, and 5

Step-by-step explanation:

The statements about the function that are correct are:

The volleyball reached its maximum height at 3 seconds.
The maximum height of the volleyball was 23 feet.

We have,

The function h(t) = -2(t - 3)2 + 23 represents the height, in feet, t seconds after a volleyball is served.

Let's analyze each statement:

The volleyball reached its maximum height at 3 seconds.

This statement is correct.

The function h(t) is a quadratic function, and its graph is a parabola that opens downwards.

The vertex of the parabola represents the maximum height of the volleyball.

In this case, the vertex occurs when t = 3 seconds.

The maximum height of the volleyball was 23 feet.

This statement is also correct.

We can see from the function that the maximum height occurs at t = 3 seconds, and substituting t = 3 into the function gives:

h(3) = -2(3 - 3)2 + 23 = 23 feet.

If the volleyball is not returned by the opposing team, it will hit the ground in 5.5 seconds.

This statement is incorrect.

To find when the volleyball hits the ground, we need to find when h(t) = 0. Solving -2(t - 3)2 + 23 = 0 gives t = 3 ± √(23/2).

Since the vertex is at t = 3 seconds, the volleyball will hit the ground at the same height it was served, which is h(0) = -2(0 - 3)2 + 23 = 5 feet.

So the time it takes for the volleyball to hit the ground is when h(t) = 0, which occurs at t = 3 ± √(23/2), not 5.5 seconds.

The graph that models the volleyball's height over time is exponential.

This statement is incorrect.

The function h(t) is a quadratic function, not an exponential function.

The volleyball was served from a height of 5 feet.

This statement is also incorrect.

The function h(t) gives the height of the volleyball above the ground, not above the height it was served.

However, we can see from the function that h(0) = -2(0 - 3)2 + 23 = 5 feet, so the volleyball was served from a height of 5 feet above the ground.

Thus,

The statements about the function that are correct are:

The volleyball reached its maximum height at 3 seconds.
The maximum height of the volleyball was 23 feet.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ7

Answer:

x = 11°

Step-by-step explanation:

Linear Pair

Two angles adjacent to each other that form a straight line.

The sum of angles of a linear pair is always equal to 180°.

⇒ m∠C = 180° - 33° = 147°

Alternate Interior Angle Theorem

When two parallel lines are cut by a transversal, the alternate interior angles are congruent.

From inspection of the diagram, we can see that AB ║ DC.

Therefore, AE is the transversal.

So m∠A = 33°

Sum of interior angles of a triangle is 180°

Therefore, the top angle of the triangle = 180° - m∠A - 2x

                                                                  = 180° - 33° - 2x              

                                                                   = 147° - 2x

Angles around a point add up to 360°

⇒ 33° + m∠C + 5x + (147° - 2x) = 360°

⇒ 33° + 147° + 5x + 147° - 2x = 360°

⇒ 327° + 3x = 360°

⇒ 3x = 33°

⇒ x = 11°

Answer:

x = 11°

Explanation:

============                       [ total interior angle in a triangle is 180° ]

solve for x

Answer:

Step-by-step explanation:

Circumference is given by the formulas :

[tex]2\pi r[/tex] or [tex]\pi d[/tex]

Since we are given the diameter we can use the second one :

We are told to use 3.14 for π :

C = (3.14)×(16)

C = 50.24

Area of a circle is given by the formula:

[tex]\pi r^{2}[/tex]

To work out r we simply half the diamter:

16÷2 = 8

Now we put this into the area formula:

π(8)² = 64π

We are told to use 3.14 as pi so:

64π = 64×3.14 = 200.96

Answer:

Circumference = 50.24 in

Area = 200.96 in²

Step-by-step explanation:

First, let us find the circumference of the circle.

For that, let us use this formula.

C = π d

Given that,

d ⇒ diameter ⇒ 16 in

Let us find now.

C = π d

C = 3.14 × 16

C =  50.24 in

And now let us find the area of the circle.

Before that, let us find the radius.

d = 2r

16 = 2r

Divide both sides by 2.

8 in ⇒ radius

Let us use the below formula to find the area of the circle.

A = π r²

A = 3.14 × 8 × 8

A = 200.96 in²

Answer:

Step-by-step explanation:

r (2 x + 8) - x - 4

(2 r - 1) x + 8 r - 4

Answer:

4 < x < 12

Step-by-step explanation:

Given:

[tex]\displaystyle \large{9|x-8| < 36}[/tex]

Divide both sides by 9:

[tex]\displaystyle \large{|x-8| < 4}[/tex]

Theorem:

For [tex]\displaystyle \large{|x-a| < b}[/tex], since absolute is less than a constant, the interval or solution is:

[tex]\displaystyle \large{-b < x-a < b}\\\displaystyle \large{-b+a < x < b+a}[/tex]

Therefore:

[tex]\displaystyle \large{|x-8| < 4 \to -4 < x-8 < 4}\\\displaystyle \large{-4+8 < x < 4+8}\\\displaystyle \large{4 < x < 12}[/tex]

Therefore, the solution is 4 < x < 12

Answer:

4 < x < 12

Step-by-step explanation:

9|x - 8| < 36

Divide both sides by 9:

|x - 8| < 4

Solution 1

(x - 8) < 4

Add 8 to both sides:

x < 12

Solution 2

-(x - 8) < 4

-x + 8 < 4

Subtract 8 from both sides:

-x < -4

Divide both sides by -1 (remembering to change the direction of the sign):

x > 4

Therefore, the solution to the inequality is   4 < x < 12

Answer: pages 1-1,450

pages 1-9 = 9 digits

pages 10-99 = 90*2 = 180 digits

pages 100-999 = 900*3 = 2,700 digits

pages 1000-1450 = 451*4 = 1,804 digits

sum = 4,693 digits

Answer:

6   6, 7, 7

7    0, 1, 2, 4, 4, 5, 6, 7, 7, 8

8    0, 3

9    0

Step-by-step explanation:

If you don't know how to make a stem and leaf plots this how. First you will draw a T-chart then you put the first integer or 10th place number on the left and the ones place number on the right.

Answer: 7

Step-by-step explanation:

APR= (interest + fees/ loan amount) / no. of days ×355 ×10

= 5000/226 / 24 × 365 × 10

= 33640.83

= 33640.83/365

= 93%

Answer:$740

Step-by-step explanation: subtract 750 - 10 and there’s your answer look where it says “The money is taken from his bank account” that’s how you know you should subtract by the word take. Hope this helps

Answer:

yoo :)

Step-by-step explanation:

Answer:

13/5

Step-by-step explanation:

Given:

Substitute the values into the expression:

⇒ 1/2(m ÷ 3) + n

⇒ 1/2(12 ÷ 3) + 3/5

Simplify the expression:

⇒ 1/2(12 ÷ 3) + 3/5

⇒ 1/2(4) + 3/5

⇒ 1/2 x 4 + 3/5

⇒ 2 + 3/5

Make common denominators:

⇒ 2 + 3/5

⇒ (2 x 5/1 x 5) + 3/5

⇒ 10/5 + 3/5

Simplify by adding:

⇒ 13/5

Answer:

Step-by-step explanation:

5/8

Odds against event are 5:8

Means ration of not happening of work =

5/8

Sample space has 8+5=13 possibilities

Probability it being to work=

8/13

​

​

Answer:

Answer:

-25

Step-by-step explanation:

This question is asking for a composite function.

Let's take this step-by-step!

[tex]f(x) = |x + 2|\\g(x) = -x^2[/tex]

(g•f)(3) means [tex]g(f(3))[/tex]

In English, this means we put 3 into f(x), and use the result for g(x).

First let's do f(x):

[tex]f(3) = |3 + 2| = |5| = 5[/tex]

The lines mean "modulus"/"absolute value" which makes any number positive

For example,

[tex]|-3| = 3[/tex]

[tex]f(3) = 5\\g(f(3)) = g(5)\\g(5) = -(5)^2 = -25[/tex]

Answer:

  -25/7

Step-by-step explanation:

The sum of an infinite series with first term 'a' and common ratio 'r' is ...

  S = a/(1 -r)

Your series has a=-5 and r=-2/5, so the sum is ...

  S = (-5)/(1 -(-2/5)) = -5/(7/5) = -25/7

The sum of the series is -25/7.

The value of x given the perimeter of the square is 6.

The first step is to determine the perimeter of the square.

Perimeter of the square = 4 x length

4 x 2.5x = 10x yards

The perimeter of the triangle is equal to the sum of the three side lengths

2x + 4x - 2 + 2x + 14 = 10x

Combine similar terms

14 - 2 = 10x - 2x - 4x - 2x

Add similar terms

12 = 2x

Divide both sies by 2

x = 6

To learn more about triangles, please check: https://brainly.com/question/22949981

Answer:

it is 6

Step-by-step explanation:

i did it in class and the teacher siad it ws right

Answer:

Alright! So, the formula is

x+x+1+x+2+x+3+x+4....x+24

You can do 25x+300=1000

25x=700

x=28

Answer:

False

Step-by-step explanation: Matter All was take up place

Answer:

m<RUS = 65°

m<UST = 15°

Step-by-step explanation:

Hi there!

We are given circle O, with a diameter of US

The measure of arc RU is 50°, and the measure of arc UT is 30°

We want to find the measure of <RUS and <UST

First, let's start with <RUS
As stated before, we were given the diameter of a circle - that is segment US

Notice how ΔRUS (which contains <RUS) contains the diameter US - this means that the portion of the circle that contains ΔRUS is a semicircle.
If that portion is a semicircle, then that means that m<URS is 90°

Next, we know that the measure of arc RU is 50°

Notice how <RSU is an inscribed angle, meaning that it is created by 2 chords, and that its vertex is on the circle itself

Inscribed angles are half the measure of the arcs they intercept. The arc that <RSU intercepts is arc RU, which means that the measure of <RSU is 25°

Now, to find m<RUS, you can do m<URS - m<RSU, as the acute angles in a right triangle add up to 90°

In that case:

m<RUS = m<URS - m<RSU

via substitution, m<RUS = 90° - 25°

m<RUS = 65°

Now we need to find the measure of <UST

Notice how m<UST is also an inscribed angle

The arc it intercepts is arc UT, which we were given has a measure of 30 degrees

Therefore, m<UST = half of the measure of arc UT

Via substitution,

m<UST = 1/2 * 30

m<UST = 15°

Hope this helps!

(-1,-2)

x= -1

y= -2

Have a wonderful day :)

[tex]~~x^2+16\\ \\=x^2-(-16)\\\\=x^2-(4i)^2\\\\=(x+4i)(x-4i)[/tex]

Answer:

Step-by-step explanation:

Given expression:

Clearly, 16 is a perfect square as 4 x 4 is 16.

Thus, this expression can be written as:

Using the formula "a² + b² = (a + b)(a + b)"

Answer:

165

Step-by-step explanation:

area of a hexagon = 1/2 × apothem × perimeter

to find the perimeter of a hexagon we simply multiply the side length by 6 ( because there are 6 sides in a hexagon )

given side length = 11

so perimeter = 6 × 11 = 66

now to find area

remember area = 1/2 × apothem × perimeter

given apothem = 5 and perimeter = 66

so area = 1/2 × 5 × 66

1/2 × 5 = 2.5

2.5 × 66 = 165

Answer:

Option D, The distributions are somewhat similar

Step-by-step explanation:

Step 1:  Determine the means-to-MAD ratio

Data Set 1 → Mean = 173.5, MAD = 3.9

Data Set 2 → Mean = 161.2, MAD = 4.1

[tex]Ratio = \frac{Mean\ of\ 2 - Mean\ of\ 1}{MAD\ of\ 2 - MAD\ of\ 1}[/tex]

[tex]Ratio = \frac{161.2 - 173.5}{4.1 - 3.9}[/tex]

[tex]Ratio = \frac{-12.3|}{0.2}[/tex]

[tex]Ratio = -61.5[/tex]

Step 2:  Determine if the distributions are similar or not

Since the MAD of set 2 is somewhat similar to MAD of set 1, the distributions are somewhat similar.

Answer:  Option D, The distributions are somewhat similar

Start at 3 and multiply by -4 each time.

Answer:

9

Step-by-step explanation:

700,000

90,000

6,000

100

40

2

Answer:

9

Step-by-step explanation:

796,142

100000  10000    1000  100  10   1