Mathematics High School

What is the distance to the earth’s horizon from point P?

Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.

Answers

Answer 1

The distance to the earth’s horizon from point P is 281.6 miles

How to determine the distance to the earth’s horizon from point P?

The tangent line from P meets the radius of the earth at a right angle.

This means that the triangle is a right triangle.

The length of x is then calculated as:

(3959 + 10)^2= 3959^2 + x^2

Rewrite as:

x^2 = (3959 + 10)^2- 3959^2

Evaluate

x^2 = 79280

Take the square root of both sides

x = 281.6

Hence, the distance to the earth’s horizon from point P is 281.6 miles

Related Questions

Select the correct answer.
The figure shows a vertical cross section of a sphere inscribed in a right cone.

A vertical cross section of a sphere inside a cone has a radius labeled lowercase r. The height of the cone is 12 centimeters. The half-length of the face of the cone is 5 centimeters.

Find the volume of the sphere in terms of π.

Answers

The volume of the sphere will be 49π cubic cm. Then the correct option is C.

What is the volume of the sphere?

Let r be the radius of the sphere.

Then the volume of the sphere will be

V = 4/3 πr³ cubic units

The figure shows a vertical cross-section of a sphere inscribed in a right cone.

A vertical cross-section of a sphere inside a cone has a radius labeled as r. The height of the cone is 12 centimeters. The half length of the face of the cone is 5 centimeters.

Then the volume of the sphere will be

In ΔADF, we have

tan a = 5 / 12

a = 22.61°

Then in triangle ΔABC, we have

sin 22.61° = r / (12 - r)

0.38 = r / (12 - r)

4.62 - 0.38r = r

1.38r = 4.62

r = 3.34 cm

Then the volume of the sphere will be

V = 4/3 π(3.34)³

V = 49π cubic cm

Then the correct option is C.

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Answer:

49cm

Step-by-step explanation:

49cm i got it right on edmentum

If f(x) = 6x³ + 5x, g(x) = 3x² +5, and h(x) = 9x² - 8, What is the degree of f(g(h(x)))?

a)2
b)3
c)7
d) 12

Answers

f(x)=6x³+5xg(x)=3x²+5h(x)=9x²-8

Degree of f(x)=3

Degree of g(x)=2

Degree of h(x)=2

Degree of f(g(h(x)))

3(2)(2)12

Option D

Answer:

d) 12

Step-by-step explanation:

Given functions:

[tex]f(x)=6x^3+5x[/tex]

[tex]g(x)=3x^2+5[/tex]

[tex]h(x)=9x^2-8[/tex]

As we are only interested in the degrees of the function, we can eliminate the coefficients of each variable and the constants:

[tex]f(x)=x^3+x[/tex][tex]g(x)=x^2[/tex][tex]h(x)=x^2[/tex]

Therefore:

[tex]\begin{aligned}g[h(x)]& =(x^2)^2\\& =x^4\end{aligned}[/tex]

[tex]\begin{aligned}f[g[h(x)]] & = (x^4)^3+x^4\\& = x^{12}+x^4\end{aligned}[/tex]

Therefore, the degree of f[g[h(x)]] is 12

HELP ME OUT peps correct answers only

Answers

Based on the subtraction property of equality: C. Correct. Jen could have also subtracted 100 from both sides and then divide both sides by -1/2.

What is the Subtraction Property of Equality?

In order to balance both sides of an equation, we can subtract same value from both sides by subtracting a value from both sides based on the subtraction property of equality. Same applies to other operations.

To balance both sides of the equation, 100 needs to be subtracted from the equation given. This means Jen was correct.

If she also divide both sides by -1/2, she would get same result as when she multiplies both sides by -2.

The correct description of the accuracy of her work is: C. Correct. Jen could have also subtracted 100 from both sides and then divide both sides by -1/2.

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-9y- 10 = x
5x +6y = -11

Answers

Answer: x = -1 , y = -1

URGENT

Find the area of the triangle. Round your answer to the nearest tenth.

A triangle A B C with side A C labeled 15 units and side B C as 7 units. The measure of angle A C B is 96 degrees.

The area of the triangle is about (blank) square units.

Answers

Answer:

hope you can understand

What is the length of the hypotenuse of the right triangle?

Answers

Answer:

scout is a group of noble youth

Given qr = 4.8, m angle r space equals space 80 degree , and m angle p equals 42 degree ... if you want to find pq.... a. should you use law of sines or law of cosines to solve? b. show your setup to solve for pq. c. solve for pq to the nearest tenth, showing all of your work. for the toolbar, press alt+f10 (pc) or alt+fn+f10 (mac).

Answers

By applying the law of sines, the length of side PQ is equal to 7.1 units.

What is the law of sines?

The law of sines is also referred to as sine law and it can be defined as an equation that relates the side lengths of a triangle to the sines of its angles.

How to calculate the length of PQ?

Mathematically, the law of sines is given by this equation:

[tex]\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}[/tex]

Substituting the given parameters into the formula, we have;

[tex]\frac{sin80}{PQ} =\frac{sin42}{4.8} \\\\\frac{0.9848}{PQ} =\frac{0.6691}{4.8}\\\\0.6691PQ = 4.7270\\\\PQ = 4.7270/0.6691[/tex]

PQ = 7.1 units.

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find the value of x and y from the following

Answers

Step-by-step explanation:

due to the principle of identical angles on parallel lines when intersected by an inclined line, x is equal to the angle at B on the other side of AB.

in other words it is the supplementary angle to 150° at B.

that means together they are 180°. that is because the sum of all angles around a single point on one side of a line is 180° (because that line can be seen as the diameter of a circle, the point as the center of that circle, and one side of the diameter is a half-circle, which represents 180°).

so,

x = 180 - 150 = 30°

now, for the same principle,

x + y = 70

y = 70 - x = 70 - 30 = 40°

Which of the following are exterior angles? Check all that apply.
6
5/4
1
2

Answers

Answer:

E and F

Step-by-step explanation:

Definition of exterior angle:

The angle between a side of a polygon and an extended adjacent side.

According to definition, angles 4 and 2 are exterior angles.

The matching answer choices are E and F

Nicole is deciding between two different movie streaming sites to subscribe to. Plan A costs $24 per month plus $1.50 per movie watched. Plan B costs $12 per month plus $3 per movie watched. Let AA represent the monthly cost of Plan A if Nicole watches xx per month, and let BB represent the monthly cost of Plan B if Nicole watches xx movies per month. Graph each function and determine the interval of movies watched, x,x, for which Plan A is cheaper than Plan B.

Answers

Answer:

Plan B

Step-by-step explanation:

If you multiply 21 by $2.50 you get $52.5 then add $5 you get 57.5 and that's you outcome for Plan A

but if you multiply 21 by $1.50 you get $31.5 then add $24 you get $55.5 so the best and cheapest plan would be Plan B

Tiles with the letters A,B,C,D,E,F,G and H written on them are placed in a bag. Malik draws out on letter at random. Which statements about the situation are true? Check all that apply.

The number of possible outcomes is 8.
The probability is drawing the tile with E written on it is 1/4.
P(vowel)=1/4
P(vowel) + P(consonant) % 1
Choosing one letter at random is a simple event.

Answers

Using the probability concept, it is found that the correct statements are given as follows:

The number of possible outcomes is 8.P(vowel)=1/4P(vowel) + P(consonant) = 1.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are eight letters, two of which are vowels and six of which are consonants.

Hence:

P(vowel) = 2/8 = 1/4.P(consonant) = 6/8 = 3/4.P(vowel) + P(consonant) = 1/4 + 3/4 = 1.

E is one out eight letters, hence the probability is drawing the tile with E written on it is 1/8.

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Answer:

A, C, E

Step-by-step explanation:

The correct answers are A C E

or if you want to be more specific

A: The number of possible outcomes is 8.

C: P(vowel)=1/4

E: Choosing one letter at random is a simple event.

I got it right on Edge22

if the observed value is 69.4 and the predicted value is 70.4, what is the residual value? round your answer to the nearest hundredth.

Answers

The residual value will be equal to -1.

What is residual value?

A residual is a difference between the observed y-value of a data point and the predicted y-value on a regression line for the x-coordinate of the data point. A residual is positive when the point is above the line, negative when it is below the line, and zero when the observed y-value equals the predicted y-value.

Take, for instance, we have the following data entry:

Observed value = 69.4

Predicted value = 70.4

The residual (r) would be:

Residual value = 69.4 - 70.4 = -1

Therefore the residual value will be -1

Answers

Answer:

Step-by-step explanation:

A simple way to solve this is by substituting, we start with trying 1 for x, 2+6=8, and 1+9=10. Because the two values are different, that means 1 is the incorrect value. We can try 2, 4+6=10, and 2+9=11, once again inequivalent. We finally try 3, and 6+6=12 and 3+9=12 meaning x must be 3

3. Jane wants to plant grass Seed in her yard. If it costs $0.55 per Square foot to plant grass Seed, how much will Jane Spend? Show your work.

Answers

Answer:

Step-by-step explanation:

area off reg 1

10 x 25 = 250

area of reg 2

45 x 13 = 585

total surface area

585 + 250 = 835ft^2

835ft^2 x $0.55 = $459.25

10*25=250
45-10=35
35*13=455
455+250=705
705*$0.55=$387.75

Omar paid $8.64 for 5.4 pounds of grapes. what was the cost of 1 pound of grapes?

Answers

Answer: $1.6

Exp: 8.64/5.4 = 1.6 ,

checking my work 1.6 * 5 = 8 and 1.6 * 0.4 = 0.64 so 8+0.64 = 8.64 so now I know 1 pound of grapes is $1.6 also 8/5 = 1.6

Maddie's backyard is 25 meters by 25 meters. She wants to put a square cement patio in her backyard. She does not want the patio to be as
large as the yard. Let A be the area of the patio, in square meters.

Which inequality represents the possible length of the patio?
A. √A> 25
B. √A < 25
C. √A> 625
D. √A < 625

Answers

The inequality that represents the possible length of the patio is √A < 625.

How to represent an inequality?

Maddie's backyard is 25 meters by 25 meters.

Therefore,

area of the backyard = 25 × 25 = 625 m²

Hence,

She wants to put a square cement patio in her backyard.

A = area of the patio, in square meters.

Hence,

area of the backyard = 625 m²

Therefore, the inequality that represents the possible length of the patio is √A < 625.

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Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Point C divides in a particular ratio. Match point C and the ratio into which C divides with the endpoints of .

Point C(-3.6, -3.4) divides
in the ratio 2 : 3.
A(4, -3) and B(-7, 8)
Point C(4, 1.6) divides in
the ratio 3 : 2.
A(-5, 2) and B(7, 14)
Point C(3.5, -2.5) divides
in the ratio 1 : 7.
A(-2, -1) and B(-6, -7)
Point C(8, 9) divides in
the ratio 5 : 3.
A(3, 4) and B(11, 12)
Point C(-2, 5) divides in
the ratio 2 : 6.
Point C(0, 1) divides in
the ratio 4 : 7.

PLATO

Answers

The point divides the line in the respective ratios. The correct matches are done.

What is division of line?

When a point lies on the line such that is gets divided into the ratio is said to be the division of line.

The coordinates of point can be find out by the following formula.

x = mx₂ +nx₁ / m+n and y = my₂ +ny₁ / m+n

For, Point C(-3.6, -3.4) divides in the ratio 2 : 3.