From the top of a lighthouse 55 feet above sea level, the angle of depression to a small boat is 11.3*. How far is the boat from the base of the lighthouse? *

Answers

Answer 1

Answer:

275.248 ft

Step-by-step explanation:

this is a trigonometry question, so we first draw a triangle with height 55 and angles 11.3 (degrees) and 78.7 (degrees). tan(11.3)=55/base, so the base would be 275.248 ft.


Related Questions

Please help me with this!

Answers

Answer:

Step-by-step explanation:

DE = LK        {given that  length of DE & LK are equal}

EF = JK          {given that length of EF & JK are 8 cm}

DF = LJ        { given}

ΔDEF ≅ ΔLKJ   by   SSS congruent  

WHAT IS THE RIGHT ANSWER I WIL GIVE YOU BRAINLIEST IF IT IS CORRECT
V = (3) squared (14)
V = pi (6) squared (14)
V = pi (3) squared (14)
V = pi (14) squared (6)

Answers

Answer: Choice C.  V = pi (3) squared (14)

same as V = pi*3^2*14

========================================================

Work Shown:

V = volume of cylinder

V = (area of circular base)*(height)

V = (pi*r^2)*(h)

V = pi*r^2*h

V = pi*3^2*14 ..... radius 3 is half of diameter 6

We write "3^2" as a shorthand way of saying "3 squared" or "(3) squared".

If five times four is thirty-three, what will the fourth of twenty be?

Answers

Final answer:

The student's question appears to involve a play on words or a riddle, but using standard mathematics, the fourth of twenty is calculated by dividing twenty by four, which equals five.

Explanation:

The question appears to be a puzzle rather than a straightforward mathematical problem. Given the statement that 'five times four is thirty-three' is not mathematically correct (since 5 × 4 = 20), it suggests that there's an error or play on words. The most likely solution for 'what will the fourth of twenty be?' using standard mathematics is 5, because normally one would divide twenty by four to get this result. However, if we are following the same logical pattern as in the incorrect statement 'five times four is thirty-three', we might question whether 'the fourth of twenty' should similarly be an unconventional result. Without more context, we stick with the conventional approach.

The mass of the sphere is 800 lbs. Find the density of the sphere to the nearest tenth.

answer choices

7.8 lbs/ft3

21.2 lbs/ft3

28.3 lbs/ft3

7.1 lbs/ft3

Answers

Answer:

7.1 lbs / ft^3

Step-by-step explanation:

In this question, we are asked to calculate the density of the sphere in the diagram.

Firstly, to calculate the density , we apply a mathematical formula.

Mathematically, density = mass/volume

We have the mass already from the question but we will need to calculate what the volume is.

Mathematically, the volume of a sphere = 4/3 * pi * r^3

From the diagram, we can see that the radius of the sphere is 3 ft. Plugging this into the equation of the volume of a sphere, we have;

4/3 * 22/7 * 3^3

= 4/3 * 22/7 * 27

= 113.143 ft^3

Now, we substitute the volume into the density equation;

Recall, density = mass/volume

From the question, our mass is 800 lbs and from calculations, volume is 113.143 ft^3

Density = 800 lbs/ 113.143 ft^3 = 7.07 lbs/ ft^3 which is approximately 7.1 lbs/ ft^3

Convert the unit of capacity.


2 qt 1 cup = ___ fl oz


A.

40


B.

72


C.

80


D.

136

Answers

Answer: 72 US FLUID OUNCES

Answer:

The answer is B i think

Hope this helps :D

¯\_(ツ)_/¯                                   ☜(゚ヮ゚☜)

Find the distance between (0,10) and (12,1)

A. 12
B. 11
C. 15
D. 16

Answers

9514 1404 393

Answer:

  C.  15

Step-by-step explanation:

The distance formula can be used for this.

  d = √((x2 -x1)² +(y2 -y1)²) = √((12 -0)² +(1 -10)²) = √(144 +81) = √225

  d = 15

The distance between the points is 15 units.

_____

Alternate solution

You may recognize that the slope of the line is -3/4, suggesting that this is some multiple of a 3-4-5 right triangle. That multiple is 9/3 = 12/4 = 3, so the hypotenuse of the triangle is 5×3 = 15 units.

Final answer:

The distance between the points (0,10) and (12,1) is 15 units.

Explanation:

The distance between the points (0,10) and (12,1) can be found using the distance formula:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Substituting the given coordinates, the calculation becomes:

d = sqrt((12 - 0)^2 + (1 - 10)^2)

d = sqrt(12^2 + (-9)^2)

d = sqrt(144 + 81)

d = sqrt(225)

d = 15

Therefore, the distance between the two points is 15 units.

which two features are present in a plant cell but not in an animal cell

Answers

Answer:

The two features present in a plant cell, but not in an animal cell are chloroplasts and a large central vacuole.

Step-by-step explanation:

The two features which are structures found in plant cells but are not present in animal cells are:

Cell WallChloroplast

There are features that differentiates a plant cell from an animal cell. Two of such features that are unique to plant cells are:

Cell Wall: This gives the firmness, strength and protects the plant.Chloroplast: This contains chlorophyll which aids photosynthesis in plants.

These two plant cell features or structures are absent in an animal cell.

A plant cell and its various organelles/structure is shown in the image attached below.

Therefore, the two features which are structures found in plant cells but are not present in animal cells are:

Cell WallChloroplast

Learn more here:

https://brainly.com/question/17667197

I NEED HELP PLEASE!!!!

Answers

Answer: the answer is 13

Step-by-step explanation:

Mean means to find the average so add them all and divide by 4.

The five posters made for spirit week are being hung in the front hall. What is the probability the largest poster will be in the center in the next largest will be on its left?

Answers

Answer:

1/20 or 0.05

Step-by-step explanation:

Assuming that all five posters are different, the number of ways to randomly place those posters is given by:

[tex]N=5*4*3*2*1 = 120\ ways[/tex]

If we want the largest to be in the center and the next largest to be on its left, two poster will have a set position and only three could be randomized:

[tex]n=3*2*1*1*1=6\ ways[/tex]

Therefore, the probability is:

[tex]P=\frac{n}{N}=\frac{6}{120} =\frac{1}{20} =0.05[/tex]

The probability is 1/20 or 0.05.

Find the volume of the large solid without the smaller solid. The solid is a right solid and is not drawn to scale. Round answers to the tenths place.
A rectangular prism has length 12.4 meters, height 9 meters, and width 7.8 meters. A smaller rectangular prism inside the larger prism has length 3 meters, width 1.8 meters, and height 9 meters.
a.
870.5 cube meters
c.
48.6 cube meters
b.
821.9 cube meters
d.
919.0 cube meters

Answers

Answer: 821.9 cube meters

Step-by-step explanation:

Hi, to answer this question we have to calculate both rectangular prisms volume:

Volume: Length x width x height

Replacing with the values given:

Large solid volume = 12.4 x 7.8 x9 =870.48 cubic meters

Small solid volume = 3 x 1.8 x 9 =48.6 cubic meters

Next, we have to subtract the smaller solid's volume to the large solid’s volume .

870.48-48.6 = 821.88 = 821.9 cubic meters

Feel free to ask for more if needed or if you did not understand something.

Answer:

the answer is b

Step-by-step explanation:

Two similar cylinders have surface areas of 24 cm2 and 54 cm2. The volume of the smaller cylinder is 16 cm2.

What is the volume of the larger cylinder?

36 cm2
46 cm2
48 cm2
54 cm2

Answers

Answer:

54pie cm2 is the correct answer                                              

Final answer:

The volume of the larger cylinder is 36 cm².

Explanation:

To find the volume of the larger cylinder, we need to compare the surface areas of the two cylinders. Let's assume that the surface area and volume of the smaller cylinder are represented by SA1 and V1 respectively, and the surface area and volume of the larger cylinder are represented by SA2 and V2 respectively.

Since the cylinders are similar, their surface areas and volumes are proportional. Therefore, we can set up the following ratio: SA1 / SA2 = V1 / V2. Plugging in the given values, we get: 24 / 54 = 16 / V2. Solving for V2, we find that the volume of the larger cylinder is 36 cm².

What is the value of x in the equation shown below?
x^3−5=59

Answers

Answer: This is an easy one, its either 21, 21 and a half, or 22, if not than its at least in the 20s.

Step-by-step explanation:

Maura has a part-time job wrapping gifts at a department store. A customer comes in and asks her to wrap a box. Whatever is inside that box feels like it weighs 50 pounds! The box is shaped like a cube that is 20 inches long on each side. What is the volume of the box?

Answers

Answer:

The volume of the box is [tex]8000 in^3[/tex]

Step-by-step explanation:

Since the box is shaped like a cube, the volume of the box is:

[tex]V = L^3[/tex]

where l = length of side of the box

The box is 20 inches long on each side, that means that L = 20 in.

Hence, the volume of the box will be:

[tex]V = 20^3 = 8000 in^3[/tex]

The volume of the box is [tex]8000 in^3[/tex].

Final answer:

To find the volume of a cube-shaped box with sides of 20 inches, you multiply the side lengths together, resulting in a volume of 800TatExplan0 cubic inches.

ation:

The question is asking for the volume of a cube-shaped box. To calculate the volume of a cube, we use the formula V = a^3, where 'a' is the length of one side of the cube. In this case, each side of the box is 20 inches long. Therefore, the volume of the box is:

V = 20 inches × 20 inches × 20 inches = 8000 cubic inches.

A set of average city temperatures in July are normally distributed
with a mean of 23.5 degrees Celsius and a standard deviation of 2 degrees
Celsius. The average temperature of the City of Van Nuys is 23 degrees
Celsius.
What percentage of average city temperatures are higher than that of the
City of Van Nuys?
a) 59.87%
b) 44.04%
C) 55.96%
d) 40.13%

Answers

Answer:

a) 59.87%

Step-by-step explanation:

Given that the mean temperature (μ) = 23.5°C and the standard deviation (σ) is 2 °C.

The z score is used in statistics to measure number of standard deviation by which the raw score is above or below the mean value, It is calculated using the equation:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

The average temperature of the City of Van Nuys is 23 degrees. The z score is

[tex]z=\frac{x-\mu}{\sigma}=\frac{23-23,5}{2} =-0.25[/tex]

P(x > 23) = P(z > -0.25) = 1 - P(z < -0.25) = 1 - 0.4013 = 0.5987 = 59.87%

Michael is drawing a card from a standard deck of 52 cards, which includes 4 aces: the ace of clubs, the ace of diamonds, the ace of hearts, and the ace of spades. For each trial, he draws a card, records which card he drew, and returns it to the deck. He draws an ace 312 times. Of the times he draws an ace, which of the following would be a good estimate for the number of times the ace drawn is the ace of hearts?

Answers

Final answer:

Michael is drawing cards from a deck with replacement. Since all aces are equally likely to be drawn, we can divide the total number of aces drawn by the number of different aces to estimate that the ace of hearts would likely be drawn 78 times out of the 312 instances of drawing an ace.

Explanation:

When Michael draws an ace from a standard deck of 52 cards, there are 4 aces available (one from each suit: clubs, diamonds, hearts, and spades). If Michael is drawing a card, recording it, and returning it to the deck (which means each draw is an independent event with replacement), the probability of drawing any specific ace, such as the ace of hearts, is the same for each draw.

Since Michael draws an ace 312 times and there are 4 equally likely aces he could draw, we can estimate the number of times he would draw the ace of hearts by dividing the total number of aces drawn by the number of different aces:

Number of times drawing the ace of hearts = Total number of aces drawn ÷ Number of different aces = 312 ÷ 4 = 78.

Therefore, a good estimate for the number of times the ace of hearts was drawn is 78 times.

The graph represents the normal distribution of recorded weights, in pounds, of cats at a veterinary clinic.

A graph shows the horizontal axis numbered 7.5 to x. The vertical axis is unnumbered. The graph shows an upward trend from 8 to 9.5 then a downward trend from 9.5 to 11.

Which weights are within 2 standard deviations of the mean? Select three options.

8.4 lbs
8.9 lbs
9.5 lbs
10.4 lbs
10.9 lbs

Answers

Please consider the graph.

We have been given that graph represents the normal distribution of recorded weights, in pounds, of cats at a veterinary clinic.  We are asked to choose the weights, which are within 2 standard deviations of the mean.

We can see from our graph that mean of the weights is 9.5 and standard deviation in 0.5.

The data point that would be below two standard deviation is: [tex]9.5-2\times 0.5[/tex] that is [tex]9.5-1=8.5[/tex].

The data point that would be above two standard deviation is: [tex]9.5+2\times 0.5[/tex] that is [tex]9.5+1=10.5[/tex].

Now we need to check the data points that lie within 8.5 and 10.5.

Upon looking at our given choices, we can see that 8.9, 9.5 and 10.4 pounds lie within 2 standard deviation of the mean.

Therefore, 8.9 lbs, 9.5 lbs and 10.4 lbs are correct choices.

Answer:

8.9, 9.5, 10.4

Step-by-step explanation:

got it right on ed2020

what metric unit you would use to measure the weigh of a teaspoon of flour

Answers

i think the answer is ounces

answer quick for brainliest...

Answers

Answer:

D. y=25

Step-by-step explanation:

Answer:

The answer is D.

Step-by-step explanation:

You have to substitute x = 5 into the equation of y :

[tex]y = 5x[/tex]

Let x = 5,

[tex]y = 5(5)[/tex]

[tex]y = 25[/tex]

Identify the Y intercept using the graph below

Answers

Answer:

-2 is the answer

Step-by-step explanation:

the x-axis is the horizontal line, while the y-axis is the vertical line. and the point is -2

Answer:

-2

Step-by-step explanation:

The y-intercept is where the line crosses the y axis.

What is the radius of a circle whose equation is (x + 5)2 + (y - 3)2 = 42?
0
O
2 units
4 units
8 units
16 units
0

Answers

Answer:

the answer is 8 units so that all i have to say.

The radius of a circle whose equation is (x + 5)^2 + (y - 3)^2 = 4^2 is mathematically given as

r=4 units, Option B is correct

What is the radius of a circle whose equation is (x + 5)^2 + (y - 3)^2 = 4^2?

Question Parameters:

a circle whose equation is (x + 5)^2 + (y - 3)^2 = 4^2

Generally, the equation for the circle    is mathematically given as

(x + 5)^2 + (y - 3)^2 = 4^2

Therefore, its standard form of a circle equation is

(x-h)^2+(y-k)^2=r^2

In conclusion, Comparing both equations

r^2=4^2

r=4

Read more about Arithmetic

https://brainly.com/question/22568180

Please HURRY Explain how to use guess and check reasoning to solve
for the unknown number.
The quotient of a number and seven is nine
I​

Answers

Answer:

Step-by-step explanation:

This translates immediately into n/7 = 9.  We can isolate (find) n by multiplying both sides of this equation by 7, obtaining n = 63.

Or we could guess and check:  if the quotient is 9, we could round that up to 10, obtaining n/7 = 10, or n = approximately 70.

Answer:

Sample Answer: Quotient means the result of division. To use guess and check to solve, you would divide different numbers by 7 until you get 9. The result is 63 ÷ 7 = 9. The quotient of sixty-three and seven is nine.

Step-by-step explanation:

My Answer: Guess and check means you guess different numbers until you get the correct answer. For example, let’s start with the number 60. You will get a decimal if you do that problem, so that’s no the answer. Then you keep guessing. The correct answer is 63. 63 divided by 7 is 9.

What is the surface area, in square centimeters, of the rectangular prism below?

Answers

Answer: A. 724

Step-by-step explanation:

N a soccer game, Sally kicks the ball to a teammate who is on the other side of the field. The ball's height h (in feet above the ground), t seconds after Sally kicked it, is modeled by: -2t^2+10t What is the height of the ball at the time it is kicked?

Answers

Answer:

At the time that it is kicked, the ball is on the ground, that is, it's height is 0 feet.

Step-by-step explanation:

The height of the ball after t seconds is given by the following equation:

[tex]h(t) = -2t^{2} + 10t[/tex]

What is the height of the ball at the time it is kicked?

The ball is kicked at t = 0.

So we have to find h(0)

[tex]h(0) = -2*0^{2} + 10*0 = 0[/tex]

At the time that it is kicked, the ball is on the ground, that is, it's height is 0 feet.

Factor this polynomial: x^2 + 6x + 9
(x+3)(x+3)
(x-3) (x-3)
(x-3) (x+3)
(x+3) (x-3)

Answers

Answer:

(x+3)(x+3)

Step-by-step explanation:

1) this polynomial is in the form of ax^2+bx+c

c=9

b=6

a=1

what*what=c(9)

and what+what=b(6)

3 is the answer to both questions:

now substitute "3x" in place of "6"

x^2+3x+3x+9

split in 2 groups:

group a) (x^2+3x)

gcf of group a=x

x(x+3)

group b) (3x+9)

gcf of group b=3

3(x+3)

combine the numbers OUTSIDE the parantheses

so

(x+3)(x+3)

Answer:

(x+3)(x+3)

Step-by-step explanation:

5x+130 degrees and 8x+151 degrees answer asap plzzz!

Answers

Answer:

x = -7

Step-by-step explanation:

Simplifying

5x + 130 = 8x + 151

Reorder the terms:

130 + 5x = 8x + 151

Reorder the terms:

130 + 5x = 151 + 8x

Solving

130 + 5x = 151 + 8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8x' to each side of the equation.

130 + 5x + -8x = 151 + 8x + -8x

Combine like terms: 5x + -8x = -3x

130 + -3x = 151 + 8x + -8x

Combine like terms: 8x + -8x = 0

130 + -3x = 151 + 0

130 + -3x = 151

Add '-130' to each side of the equation.

130 + -130 + -3x = 151 + -130

Combine like terms: 130 + -130 = 0

0 + -3x = 151 + -130

-3x = 151 + -130

Combine like terms: 151 + -130 = 21

-3x = 21

Divide each side by '-3'.

x = -7

Simplifying

x = -7

please help me out here! I’ll give you brainlist ! :)

Answers

Answer:

a=9 b=2 c=7 d=9

Step-by-step explanation:

Is c=4 a solution of the equation 50= 6c

Answers

Answer:

no

Step-by-step explanation:

50 = 6c

Substitute the value in for c and see if the equation is true

50 = 6*4

50 = 24

This is not true so c=4 is not a solution

Answer: 8 and 1/3

Step-by-step explanation:

6 times 8 equal 48

6 times 1/3 equal 2

48 plus 2 equal 50

Which expressions are equivalent to 12x - 6? Select all that apply.
6(2x-1)
-6(2x+1)
-6(2x-1)
-6x(2x-1)
6x(2-1)

Answers

Step-by-step explanation:

12x - 6

-12x - 6

-12x + 6

-12x2 + 6x

12x - 6

Option A and E are the correct answer

The only expression equivalent to 12x - 6 is 6(2x-1). Hence first option is correct.

The question asks which expressions are equivalent to 12x - 6. Let's evaluate each given option:

6(2x-1): Distributing the 6 gives 12x - 6, which is equivalent to the original expression.

-6(2x+1): Distributing the -6 gives -12x - 6, which is not equivalent to the original expression.

-6(2x-1): Distributing the -6 gives -12x + 6, which is not equivalent to the original expression.

-6x(2x-1): This expression cannot be simplified to the form of a single term in x and a constant; thus, it's not equivalent.

6x(2-1): Simplifying inside the parentheses first gives 6x, which is not equivalent to the original expression.

Therefore, the only expression equivalent to 12x - 6 is 6(2x-1).

Find the length of a rectangle if the Area is 27 cm squared and the width is 3 cm

Answers

Answer: The length is 9.

Step-by-step explanation: 27/3=9

Help pls???!??!?!?!!?

Answers

Answer:

height = 6 cm

Step-by-step explanation:

The volume (V) of a cone is calculated as

V = [tex]\frac{1}{3}[/tex]πr²h ( r is the radius and h the height )

Here V = 100.48 and r = 4, thus

[tex]\frac{1}{3}[/tex]π × 4²h = 100.48

Multiply both sides by 3 to clear the fraction

3.14 × 16h = 301.44 ( divide both sides by 3.14 × 16 )

h = [tex]\frac{301,44}{3.14(16)}[/tex] = 6 cm

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