A climber is standing at the top of Mount Kilimanjaro, approximately 3.7 miles above sea level. The radius of the Earth is 3959 miles. What is the climber's distance to the horizon?

Answers

Answer 1

For the answer to the question above,The tangent line from the horizon to the radius of the earth is perpendicular between the tangent point and the center. So, therefore, we can use Pythagorean's theorem to write an equation:

x² + r² = (r+h)²
x² + 3959² = (3959 + 3.7)²
x² = 3962.7² - 3959²
x = 171.2 miles
I hope this helps

Related Questions

Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x) + 3?
A.
It is the graph of f(x) translated 3 units up.
B.
It is the graph of f(x) translated 3 units to the right.
C.
It is the graph of f(x) where the slope is decreased by 3.
D.
It is the graph of f(x) translated 3 units down.

Answers

The answer is D. (It is the graph of f(x) translated 3 units down.)

The statement correctly describes the graph of g(x) if g(x) = f(x) + 3, it is the graph of f(x) translated 3 units down. The correct option is D.

What is transformation of graph?

When an existing graph is modified to produce a new variation of the existing graph.

Let y = f(x) then f(x)-3 means y-3. Subtracting 3 from the y coordinate of each point will move the entire curve down 3 units.

Thus, the correct option is D.

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PLEASEEE PLEASSE HELP!! BRANLIEST!!!PLEASEEE

Triangle XYZ is formed by the three squares J, K, and L:

Which statement best explains the relationship between the sides of triangle XYZ?

XY + YZ = ZX, because 144 + 256 = 400
(XY)2 + (YZ)2 = (ZX)2, because 144 + 256 = 400
(XY)2 + (YZ)2 = (ZX)2, because 202 + 122 = 162
XY + YZ = ZX, because 202 + 122 = 162

Answers

I would say B is the correct answer because of the Pythagorean theorem.
a^2 + b^2 = c^2
XY^2 + YZ^2 = ZX^2
12^2 + 16^2 = 20^2
144 + 256 = 400

My best guess is B.

Hope this helps =)

Triangle XYZ is formed by the three squares J, K, and L

So it is a right triangle.

Pythagorean Theorem: a^2 + b^2 = c^2

Answer:

(XY)^2 + (YZ)^2 = (ZX)^2, because 144 + 256 = 400

Determine whether the triangles are similar. If so, what is the similarity statement and the postulate or theorem used?

Answers

To determine the similarity of the triangles, we shall use the proportionality of the corresponding sides:
DH/DE=DG/DF
thus
30/24=40/32
5/4=5/4
since the triangle shares the same angle ∠D, then we can conclude that the triangles are similar by side angle side (SAS) postulate

Answer:

DGH~DFE; SAS~

Step-by-step explanation:

Angles α and β are the two acute angles in a right triangle. Use the relationship between sine and cosine to find the value of α if α < β. sin(2x − 8) = cos(6x − 6)

Answers

Answer:

The value of angle α is 18 degree.

Step-by-step explanation:

Given information: Angles α and β are the two acute angles , α < β.

Given equation is

[tex]\sin (2x-8)=\cos (6x-6)[/tex]

[tex]\cos (90-(2x-8))=\cos (6x-6)[/tex] [tex][\because \sin (90-x)=\cos x][/tex]

Equating both sides.

[tex]90-2x+8=6x-6[/tex]

[tex]98+6=6x+2x[/tex]

[tex]104=8x[/tex]

[tex]13=x[/tex]

The value of x is 13.

The measure of angles is

[tex]2x-8=2(13)-8=18[/tex]

[tex]6x-6=6(13)-6=72[/tex]

Since 18<72, therefore the value of angle α is 18 degree.

Answer:

Step-by-step explanation:

All of the following represent the same expression except _____.

-8ab
-8(a)(b)
8 - ab
-8 · a · b

Answers

all of them are multiplying except for

8 - ab

looks like subtraction to me

hope that helps

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The expression that is not the same as the rest of the expressions is

8 - ab.

Option C is the answer.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example:

2 + 3x + 4y = 7 is an expression.

3x - 5 is an expression.

4x + 4 is an expression.

4 x 5 - 5x is an expression.

We have,

1) -8ab

2) -8 (a) (b)

= -8ab

3) 8 - ab

4) -8.a.b

= -8ab

We see that,

All the expressions are the same except the expression

8 - ab

Thus,

The expression that is not same with the rest of the expression is

8 - ab.

Option C is the answer.

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How do you find the lateral area of the prism

Answers

Hi there!

The lateral area is the area of the figures connecting the bases. We have rectangles here. We'll need to find the area of each figure and add them together to find the lateral area.

WORK:
(2.8 x 12) + (8.1 x 12) + 2(4 x 12)
33.6 + 97.2 + 96
LA = 226.8 units^2

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

Is (3, 2) a solution to this system of equations?
8x + 7y = 37
2y = 4x - 2

Answers

if x = 3 and y =2 then 8x+7y= 38
and 2y = 4x is correct

hope it helps :)

edit i was incorrect about second answer it would be

2y =4x-4

Ill Mark Brainliest if you answer correctly. The figure below shows a shaded circular region inside a larger circle:

A shaded circle is shown inside another larger circle. The radius of the smaller circle is labeled as r and the radius of the larger circle is labeled as R. On the right side of the image is written r equal to 4 inches and below r equal to 4 inches is written R equal to 5 inches.

What is the probability that a point chosen inside the larger circle is not in the shaded region?

24%

36%

50%

64%

Answers

First we have to find the areas of both circle using the formula

[tex] Area = \pi r^2 [/tex]

For larger circle,

[tex] Area= \pi(5)^2 = 25 \pi [/tex]

For smaller circle,

[tex] Area = \pi (4)^2 = 16 \pi [/tex]

Required probability

[tex] = \frac{25 \pi -16 \pi}{25 \pi} *100 = \frac{9}{25}*100 = 36% [/tex]

Correct option is the second option .

Answer:

the other person is correct

Step-by-step explanation:

give them brainliest

A ball is dropped from a height of 12 feet. Each time it bounces, it rebounds 3
4
of the distance it has fallen. How far will it rebound after the third bounce?
A) 0.75 feet
B) 5.0625 feet
C) 6.75 feet
D) 9 feet

Answers

Well the answer is D.9 feet

Final answer:

After calculating the rebound height for each bounce by multiplying the height from the previous bounce by 75%, the ball will rebound to a height of B) 5.0625 feet after the third bounce.

Explanation:

The question is asking how far the ball will rebound after the third bounce. Initially, the ball is dropped from a height of 12 feet. On each bounce, it rebounds to ⅔3 (75%) of the previous height. To solve this, we need to calculate the height achieved on each successive bounce.

First bounce: 12 feet * ⅔3 = 9 feet

Second bounce: 9 feet * ⅔3 = 6.75 feet

Third bounce: 6.75 feet * ⅔3 = 5.0625 feet

Therefore, after the third bounce, the ball will rebound to a height of 5.0625 feet, which corresponds to option B.

If x varies directly as y, and x = 48 when y = 16, find x when y = 5.

A) 5/3

B) 153.6

C) 15

Answers

To solve this problem you must apply the proccedure shown below:

1. You have the following information given in the problem above: x varies directly as y. When x is 48, y is 16.

2. Keeping the information above on mind, you have:

y=x/k

Where k is the constant of variation

3. Then, the value of k is:

k=x/y
k=48/16
k=3

4. Therefore, when when y=5, the value of x is:

y=x/3
x=(5)(3)
x=15

5. Then, as you can see, the correct answer is the last option (Option C), which is:

C. 15

For one History test, John had to answer 45 questions, John answered 33 of them correctly. What percent did John get on his history test? Round your answer to the nearest tenth if necessary.
PLEASE SHOW WORK!!!

Answers

33÷45=.733 ×100 = 73%

The diagonal of a TV screen is 26 inches. The screen is 18.8 inches wide. How high is the screen? Round to the nearest hundredths place.

Answers

26^2 = 18.8^2 + H^2
H^2 = 322.56
H = 17.96 inches

The height of the TV for the condition is 17.96 inches.

What is Pythagoras' theorem?

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.

Given the diagonal of the TV = 26 inches

width of screen = 18.8 inches

let the shape of TV be rectangular

so diagonal divide the rectangle in right triangles,

by Pythagoras' theorem we can find the height,

h² = b² + h²

h = hypotenuse = diagonal for given = 26 inches

b = base = width = 18.8 inches

h = height

(26)² = (18.8)² + h²

h² = 676 - 353.44

h = √322.56

h = 17.96 inches

Hence the height of TV is 17.96 inches.

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Mark placed a pool in his backyard which is enclosed by a triangular fence the radius of the pool is 20.5 feet. How backyard is not covered by the pool

Answers

The area of the pool is 1320.25

A rectangle measures 12cm by 7cm. What is its area

Answers

12*7=84
The rectangle is 84cm

Area of a rectangle = width*length = 12*7=84 cm²

At a carnival, Brian bought 9 packs of 16 tickets each. He uses 39 tickets so far . how many tickets does he have left

Answers

The number of tickets left after using 39 tickets is 105.

What is multiplication?

Multiplication is the process of adding a number up to a given number

Given that, there are 9 packs and there are 16 tickets in each pack.

Therefore, the total number of tickets is:

16 × 9

= 144

Now, the number of available tickets after using 39 tickets:

144 - 39

= 105

Hence, the number of tickets left after using 39 tickets is 105.

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What’s the answer to question 13

Answers

The answer is choice C. There simply aren't enough games played at the end of April to determine how well or how badly a player is hitting. The sample size is too small. By the end of September, we have a much better idea. The larger the sample size, the better.

HELP IM GIVING 20 POINTS AND BRAINLY

What is the correlation coefficient r for the data set?

Enter your answer to the nearest hundredth in the box.

r =

x y
25 240
26 242
27 230
28 229
28 220
28 219
29 200
30 202
31 184
32 180

Answers

we know that

using a excel tool
see the attached table

the correlation coefficient r for the data set is
r=-0.96

the answer is
-0.96

we know that

using a excel tool

see the attached table

the correlation coefficient r for the data set is

r=-0.96

the answer is

-0.96

Can someone help me find the area of the following figure

Answers

1. The area of the full rectangle is 21 * 28 = 588. We will need this later.

Like you drew, there is an imaginary triangle missing. We can find the dimensions of it by subtracting from the given information. The shorter leg of it is 21 - 12 = 9, the longer leg is 28 - 14 = 14.

Now we find the area of the triangle. Area of a triangle is 1/2 * base * height. So 1/2 * 9 * 14 = 1/2 * 126 = 63.

Now we do the full area of 588 minus the area of the missing triangle piece.

588 - 63 = 525 ft²

2. Do the area of the rectangle and then this time add on the area of the triangle. 7 * 15 = 105. Area of the triangle = 1/2 * 2 * 7 = 1/2 * 14 = 7.

105 + 7 = 112 in²

Jill recorded the average number of gallons of water that she used on her garden each day during different months. The chart below displays her records.

Month
Gallons Per Day
March
35
April
37
May
42
June
55
July
65
August
34
September
24

When does Jill’s chart show the greatest increase in the gallons used per day?

A.
May to June

B.
June to July

C.
July to August

D.
March to April

Answers

The correct option is A.
In the month of May, Jill used an average of 42 gallons of water while in the month of June, he used an average of 55 gallons of water. This shows that there was an increase of 13 gallons of water used in June compared to May.
The month of July to August shows the highest decrease in the number of gallons of water used per day.

what’s a transversal angle

Answers

A transversal is two parallel lines intersected by a third line at an angle. The third line is referred to as thetransversal line. When this line happens, severalangles are created. You can use these angles to find the measurements of other angles.

A transversal is two parallel lines intersected by a third line at an angle. The third line is known as the transversalline. When this line happens, several angles are made.

AB is dilated by a scale factor of 3 to form A'B' . Point O, which lies on AB , is the center of dilation. The slope of AB is 3. The slope of A'B' is . through point O.

Answers

Given that AB has been dilated by scale factor 3 to form A'B', and by laws of dilation, the image is congruent to the pre image. This implies that the image will not change in any way whatsoever apart from the size. Hence the slope will remain the same. That means the slope of A'B' will be 3

The slope will remain the same, So the slope of [tex]A'B'[/tex] will be [tex]3[/tex].

Step-by-step explanation:

Given: [tex]AB[/tex] is dilated by a scale factor of [tex]3[/tex] to form [tex]A'B'[/tex] . Point [tex]O[/tex], which lies on [tex]AB[/tex], is the center of dilation. The slope of [tex]AB[/tex] is [tex]3[/tex].

As mentioned in question:

Given that [tex]AB[/tex] has been dilated by scale factor [tex]3[/tex] to form [tex]A'B'[/tex].

So using laws of dilation, the image is congruent to the pre image.

This implies that the image will not change in any way whatsoever apart from the size.

Hence, the slope will remain the same, So the slope of [tex]A'B'[/tex] will be [tex]3[/tex].

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Solve x2 + 10x + 12 = 36 for x. x = â12 or x = 2 x = â11 or x = 1 x = â2 or x = 12 x = â1 or x = 11

Answers

The answer is number A: â12 or x = 2

find the probability that a student chosen at random plays football or cricket or both

Answers

42/46= 91% or 21/23 or .91

ank’s teacher asked him to verify that the product (y – 3)(y2 + 3y + 9) is a difference of cubes. He used the distributive property to multiply the binomial times the trinomial. Before simplifying, his product was a polynomial of the form y3 + 3y2 + ay – 3y2 – ay – 27. What is the value of a in the polynomial?

Answers

Using the distributive property to obtain the product we shall have:
(y – 3)(y2 + 3y + 9)
=y(y2 + 3y + 9) -3(y2 + 3y + 9)
=y^3+3y^2+9y-3y^2-9y-27
putting like terms together:
y^3+(3y^2-3y^2)+(9y-9y)-27
=y^3+0y^2+0y-27
=y^3-27

From above bold expression the value of a is: a=9

What is the value of b?
Round your answer to the nearest tenth.
15.7 yd
24.1 yd
35.1 yd
36.2 yd
The figure shows acute triangle A B C. The measure of angle B is 34 degrees. The length of side A B is 28 yard. The length of side B C is 22 yard. The length of side C A is b.

Answers

Do do this problem, you need to use the Law of Cosines!

You are trying to find length b, so

b^2 = a^2 + c^2 - 2ab cos B
b^2 = 22^2 + 28^2 - 2(22)(28) cos 34
b^2 = 484 + 784 - 1232 cos 34
b^2 = 1268 - 1232 cos 34
b^2 = 246.6257
b = 15.7 yards

Hope this helps!

Answer:

A. 15.7 yards.

Step-by-step explanation:

Please find the attached file.

We have been given that in triangle ABC, the measure of angle B is 34 degrees. The length of side AB is 28 yards and the length of side BC is 22 yards. The length of side CA is b.

We will use law of cosines to find the length of side 'b'.

[tex]c^2=a^2+b^2-2ab\times cos(C)[/tex]

Upon substituting our given values in above formula we will get,

[tex]CA^2=22^2+28^2-2\times 22\times 28\times cos(34^{\circ})[/tex]

[tex]CA^2=484+784-1232\times 0.829037572555[/tex]

[tex]CA^2=1268-1021.37428938776[/tex]

[tex]CA^2=246.62571061224[/tex]

Taking square root of both sides we will get,

[tex]CA=\sqrt{246.62571061224}[/tex]

[tex]CA=15.70432139929\approx 15.7[/tex]

Since the length of side CA is b, therefore, the value of b is 15.7 yards and option A is the correct choice.

!!!!WILL MARK BRAINLIEST IF CORRECT AND IF YOU ANSWER ALL PARTS OF QUESTION! SHOW WORK PLEASE!!!!!

2. A cube-shaped aquarium has edges that are 3 ft long. The aquarium is filled with water that has a density of 62 lb/ft^3
(a) Should the aquarium be placed on a table that can support a maximum weight of 200 lb? Explain why or why not.
(b) Would the density of the water change if the aquarium was only half full? Explain.

Answers

(a) NO.
The table will support a little over 3 ft³ of water. The volume of the aquarium is (3 ft)³ = 27 ft³, substantially larger. Hence the weight of the filled aquarium is substantially more than the table can support.

(b) NO.
The density of water (mass per volume) at a given temperature is substantially constant. That is, water is regarded as an "incompressible fluid." (Water does compress so that its density increases very slightly at extreme depth, but the effect is not measurable over a depth of 1.5 to 3 feet.) Temperature has a much greater effect on the density of water than does depth.

The figure below shows a shaded circular region inside a larger circle:

A shaded circle is shown inside another larger circle. The radius of the smaller circle is labeled as r and the radius of the larger circle is labeled as R. On the right side of the image is written r equal to 4 inches and below r equal to 4 inches is written R equal to 5 inches.

What is the probability that a point chosen inside the larger circle is not in the shaded region?

24%

36%

50%

64%

Points earned on this question: 0

Answers

To find the probability of choosing a point NOT in the shaded region, you will need to find the area of the part of the figure that is not shaded when compared to the total area of the larger shape.

1. To find the area of the unshaded region, you will subtract the area of the larger circle and the area of the smaller circle.

A = pi x r^2 -
3.14 x 5^2 - 3.14 x 4^2
78.5 - 50.24
Area of the unshaded is 28.26 square inches.

Area of unshaded 28.26
Area of large circle = 78.5

Divide these to find the probability.

0.36 is 36% probability.

The probability if 36%.

Answer:

36%

Step-by-step explanation:

4. Find the diameter of the circle for BC = 10 and DC = 23. Round to the nearest tenth. The diagram is not drawn to scale. (1 point) 62.9 52.9 7.7 42.9

Answers

Look at the picture.
Use Pythagorean theorem:
[tex]r^2+23^2=(r+10)^2\\\\use\ (a+b)^2=a^2+2ab+b^2\\\\r^2+529=r^2+2\cdot r\cdot10+10^2\\\\r^2+529=r^2+20r+100\ \ \ |subtract\ r^2\ from\ both\ sides\\\\529=20r+100\ \ \ \ |subtract\ 100\ from\ both\ sides\\\\20r=429\ \ \ |divide\ both\ sides\ by\ 20\\\\r=21.45[/tex]
The diameter d = 2r, therefore
[tex]d=2\cdot21.45=42.9[/tex]

The lenght of a rectangle is twice its width. The area of the rectangle is 18 square centimeters. Find the perimeter of the rectangle?

Answers

Let x = width
2x = length as given in the description

Area of a rectangle is length * width so we do:

2x(x) = 18
2x² = 18

Divide by 2 to isolate our variable:

x² = 9
√x² = √9
x = 3

Length = 6, width = 3

Perimeter = (Length * 2) + (Width * 2)

We plug in our new information to find the perimeter.

P = (6*2) + (3*2)
= 12 + 6
= 18

The perimeter of the rectangle is 18 centimeters. Ironically, matching its area.

Answer: 18cm

∞∞∞∞∞∞∞∞∞
Explanation:
∞∞∞∞∞∞∞∞∞

Width = W
Length = 2W
Area = 18 cm²

Area = Length x Width
18 = 2W x W
18 = 2W²
W² = 18 ÷ 2 = 9
W = √9
W = 3

Perimeter = 2(Length + Width) = 2(3 + 2(3)) = 2(9) = 18 cm

A barn is an atomic unit of area equal to 10–28 m2. what is the surface area of the earth expressed in units of barn? assume the earth is a sphere with a radius of km. (the surface area of a sphere is 4πr2.)

Answers

the complete question in the attached figure

we know that
surface area of a sphere=4*pi*r²
for r=6380 km------->r=6380 x 10^3 m

surface area of of the earth=4*pi*(6380 x 10^3)²-----> 511506576035121,52 m²

if 1 barn is equal to-------------> 10^(-28) m²
x barn----------------------> 511506576035121,5
x=511506576035121,5/(10^(-28))------> x=5.12 x 10^42 barn

the answer is
5.12 x 10^42 barn

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The Fearless Five hit a museum in St. Petersburg, Russia; the museum was founded on Saint Catherines Day, and a population of cats living on the museum grounds is one of its many draws. Which museum did they infiltrate? Determine the values of the constants b and c so that the function given below is differentiable. f(x)={2xbx2+cxx1x>1 The intent of terrorism is to produce _____ in order to obtain _____. fear; political objectives chaos; order fear; reconciliation alarm; attention definition of phenotype what is 17.5 of 50??? When users create, alter, or drop tables or create or drop indexes, the dbms updates the system catalog automatically.? Please help me on this ?!?!?! What are the subatomic particles of an atom The expression 5(3 + 7) is a sum. product. difference. Deon would like to add a lot of color to a web page for a local accounting office even though they are a very conservative office. He thinks it would draw people in to look at the page. What would you tell him? Porque a gua tem ph igual a 7? se adicionarmos cido clordrico (hcl) na gua, seu ph mudar? ficar mais cido ou mais bsico? Uppose a jar contains 12 red marbles and 18 blue marbles. if you reach in the jar and pull out 2 marbles at random without replacement, (a) find the probability of getting two red marbles: In the second stage of puberty, a girl's ovaries increase their output of _____, which stimulates growth of female genitals and development of breasts and pubic and underarm hair. Which of the following is an approach a military historian would take to study the cuban missile crisis? What is the name of the condition in which tissue from the lining of the uterus grows outside the uterus answers? Help please I need to get this right The scale factor of a figure and its enlargement is 6. What is the new length of the enlarged figure if the original length is 3 cm? 3 cm6 cm18 cm36 cm The battle cry made famous by the massacre at the mission in texas was "_______ " The u.s. is expected to have a "minority majority" population by 2050. what does this mean?a. hispanic americans will outnumber the caucasian populationb. female conservatives will outnumber male conservativesc. asian americans will outnumber hispanic americansd. voters under the age of 30 will outnumber senior citizense. the minority populations will collectively outnumber the caucasian population One angle of a triangle is three times as large as another. the measure of the third angle is 65 degrees more than that of the smallest angle. find the measure of each angle.