Pam's eye-level height is 324 ft above sea level, and Adam's eye-level height is 400 ft above sea level. How much farther can Adam see to the horizon? Use the formula d = StartRoot StartFraction 3 h Over 2 EndFraction EndRoot, with d being the distance they can see in miles and h being their eye-level height in feet. 1 mi StartRoot 6 EndRoot mi 19 mi 19 StartRoot 6 EndRoot mi

Answers

Answer 1

Answer:

B. StartRoot 6 EndRoot mi

√6 mi

Step-by-step explanation:

A. 1 mi

B. StartRoot 6 EndRoot mi

C.19 mi

D. 19 StartRoot 6 EndRoot mi

d = √(3h/2)

Where,

d = distance they can see in miles h = their eye-level height in feet

Pam:

h = 324 ft

d = √(3h/2)

d = √{(3 * 324)/2}

= √972/2

= √486

= √(81 * 6)

= √81 * √6

= 9√6 mi

Adam:

h = 400 ft

d = √(3h/2)

d = √{(3 * 400)/2}

= √1200/2

= √600

= √(100 * 6)

= √100 * √6

= 10√6 mi

How much farther can Adam see to the horizon?

Adam - Pam

= 10√6 - 9√6

= √6 mi


Related Questions

Need help!!!!!!!!!!!!!!!!

Answers

Answer:

g(x) = [tex]-\frac{2}{5} (10)^{x}[/tex]

Step-by-step explanation:

Looking at the equation of a Exponential Function:

[tex]y= a(b)^{[k(x-h)]}+c[/tex]

The a-value [tex](\frac{2}{5})[/tex] determines whether the function reflects over the x-axis. If it's negative it reflects over the x-axis. If it's positive it stays over the x-axis.

✨PLEASE HELP ASAP!!!✨
What is the solution to the system of equations?

Answers

Answer:

x=4, y=-2

Step-by-step explanation:

Answer:

x = 4

y = - 2

Step-by-step explanation:

3x + 8y = - 4

2x - 4y = 16                 Multiply the second equation by 2 and add it to the 1st

3x + 8y = - 4

4x - 8y = 32               Add

7x = 28                      Divide by 7

7x/7 = 28/7

x = 4

2x - 4y = 16              Substitute 4 for x

2*4 - 4y = 16            Combine  

8 - 4y = 16                Subtract 8 from both sides

-4y = 16 - 8

-4y = 8                     Divide by -4

y = 8/-4      

y = - 2

What is the average weight of the kittens in the shelter?worth?10points

Answers

Answer:

I believe it’s 3/8 since it’s the highest and that’s the weight most kittens are in the graph.

Step-by-step explanation:

If you want you could wait for somebody else to respond since I could be wrong, but I still hope I was able to help :)

Mr. Rankin took his family out to dinner last night and their subtotal was $88.24. The sales tax was 5%, and he left a 20% tip. If Mr. Rankin puts $120 on the table, how much change did he recieve?

Answers

Answer:

8.82

Step-by-step explanation:

subtotal- 88.24

total- 92.65

total with tip-111.18

change- 8.82

Of the 2 226 people on the ship, 703 survived and
1523 died.
What percentage of the passengers survived?

Answers

Answer:

32%

Step-by-step explanation:

703/2226=32%

A surveyor is using indirect measurement to find the height of a cliff. He is 4 feet tall and is standing 32 feet away. How tall is the cliff?

Answers

Answer
Step by step explanation

Answer:

256 ft

Step-by-step explanation:

[tex]\frac{x}{32} =\frac{32}{4}[/tex]

cross multiply

4x = 32(32)

4x = 1024

x =256

256 ft

Two positive numbers have a difference of 21. The larger number is five more than twice the smaller. Find the two numbers.

Answers

Answer:

X = 29

Y = 8

Step-by-step explanation:

X - y = 21

X = 2y + 5

Substitute:

2y+5-y= 21

2y = 16

Y = 8

X-8 = 21

X = 29

One is 29 and one is 28

Hi, it would be a load of help if someone could explain the working for this question.

Three bricklayers Maric, Hugh and Ethan are cladding a new home. If Maric were to work alone, the job would take him 8 days to complete. If Hugh were to work alone, the job would take him 6 days to complete, and if Ethan were to work by himself, the job would take him 12 days to complete.a If the three men work together, how long will it take them to complete the job

Answers

Step-by-step explanation:

the work will be finished in 26 daysplease mark the answer as the brainliest

Geometry geometry help

Answers

I can’t see the picture that good

Answer:

b = 7.14cm

Step-by-step explanation:

For this question, we need to use the pythagorean theorem, since it is a right triangle, and we know two sides. The formula for the Pythagorean theorem is c^2 = a^2 + b^2.

1. a = 5.8cm so a^2 will be 5.8 x 5.8 which is 33.64

2. c = 9.2cm so c^2 will be 9.2 x 9.2 which is 84.64

3. If we add these to our Pythagorean equation, it will be 84.64 = 33.64 + b^2. --> 51 = b^2 --> b = 7.141428....

4. Since we need to round it to two decimal places, b will be 7.14.

The LCM of two numbers is 48. The number one in the ratio 2:3. Then Sum of the numbers is:

a) 16
b) 14
c) 32
d)28​

Answers

Answer:

40

Step-by-step explanation:

Let the numbers be 2x and 3x

Then their L.C.M. = 6x

BUT also their LCM=48

6x=48

x=48/6

x=8

So,

First number=2x=2x8=16

Second number=3x=3x8=24

The numbers are 16 and 24.

Hence required sum =(16+24)=40

So none of the options are correct


What is the midpoint of the line segment graphed below?
A. (4,7/2)
B. (8,7/2)
c. (4,3/2)
D (8, 3/2)

Answers

Answer:

a) (4,7/2)

Step-by-step explanation:

Midpoint Formula:

[(-1+9)/2], [(2+5)/2]

(8/2, 7/2) = (4, 7/2)

PLS HELP What type of line is PQ¯¯?
A. side bisector
B. median
C. altitude
D. angle bisector

Answers

Answer: Altitude

Step-by-step explanation:

Altitude is perpendicular line made from vertex to side

The line PQ is the altitude, the correct option is C.

What is a Triangle?

A triangle is a polygon with three sides, three vertices and three angles.

The Triangle PSR is an obtuse angle triangle,

The line PQ makes 90 degree with the line SR extended up to Q.

The line is the height of the triangle.

To know more about Triangle

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There are 12 inches in 1 foot. This is equivalent to 60 inches in 5 feet. Which proportions can be used to represent this? Check all that apply.​

Answers

Answer:

Step-by-step explanation:

12 inches                               60 inches

---------------- is equivalent to ------------------

  1 foot                                        5 feet

This can be seen if we multiply both numerator and denominator of the first ratio by 5 (each).

120 inches

------------------ is another equivalent fraction (or ratio).

  10 feet

Answer:B and C

Step-by-step explanation:

12/1 = 60/5

1/12 = 5/60

Find an equation of the circle whose diameter has endpoints (6,4) and (2,-6)

Answers

Answer:

[tex](x-4)^2+(y+1)^2=29[/tex]

Step-by-step explanation:

We want to find a circle whose diameter has the endpoints (6, 4) and (2, -6).

Since this is the diameter, its midpoint will be the center of the circle. Find the midpoint:

[tex]\displaystyle M=\left(\frac{6+2}{2}, \frac{4+(-6)}2}\right)=(4, -1)[/tex]

So, the center of our circle is (4, -1).

Next, to find the radius, we can find the length of the diameter and divide it by half.

Using the distance formula, find the length of the diameter:

[tex]\begin{aligned} d&=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\ &=\sqrt{(2-6)^2+(-6-4)^2}\\\\&=\sqrt{(4)^2+(-10)^2}\\\\&=\sqrt{116}\\\\&=2\sqrt{29}\end{aligned}[/tex]

So, the radius will be:

[tex]\displaystyle r=\frac{1}{2}d=\frac{1}{2}\left(2\sqrt{29}\right)=\sqrt{29}[/tex]

The equation for a circle is given by:

[tex]\displaystyle (x-h)^2+(y-k)^2=r^2[/tex]

Substitute:

[tex](x-4)^2+(y+1)^2=29[/tex]

A city has a population of 340,000 people. Suppose that each year the population grows by 5.25%. What will the population be after 15 years?

Answers

Answer:

Future population = 720800

Step-by-step explanation:

Below is the calculation of population after 15 years.

Given the present population = 340000

Growth in population = 5.25%

Use below formula to find the values:

Future population = Present population ( 1 + r)^n

Future population = 340000 ( 1 + 5.25%)^15

Future population = 340000 (2.15)

Future population = 720800

Rewrite y +2> +(6x –9) to isolate the y-term.
Rewrite y +2>2(6x-
Helppppp

Answers

Given:

The inequality is:

[tex]y+2>\dfrac{1}{3}(6x+9)[/tex]

To find:

The inequality after isolating the y-term.

Solution:

We have,

[tex]y+2>\dfrac{1}{3}(6x+9)[/tex]

On simplification, we get

[tex]y+2>\dfrac{1}{3}(6x)+\dfrac{1}{3}(9)[/tex]

[tex]y+2>2x+3[/tex]

Subtracting 2 from both sides of the above inequality, we get

[tex]y+2-2>2x+3-2[/tex]

[tex]y>2x+1[/tex]

Therefore, the required inequality is [tex]y>2x+1[/tex].

2 |m - n²| + k³ (if k = -2, m = -7, and n = 4)


(Those aren't 1s, they're the absolute value thingies)​

Answers

Answer:

Step-by-step explanation:

Hope this helps u !!

in ΔABC, ∠ABC is a right angle, AB = 3 units, and BC = 2 units. ΔABC is dilated by a scale factor of 0.5 with point B as the center of dilation, resulting in the image ΔA′B′C′. Which statement about A′B′ is true?

Answers

Answer:

the first one i think

Step-by-step explanation:

Answer:

first one

Step-by-step explanation:

AHHHHH HELP IT'S TIMED!!!!!!!
I'LL MARK BRAINLIEST SO PLEASE HELP!!!!!!

Answers

its c, because y doesnt increase by a steady rate. :) hope it helps!,

The area of the base is 15cm. The height is 6 cm. What is the volume of the rectangular prism?

Answers

Answer:

you don't put the L value

8. It is the measure of the space inside the solid figure.
b. surface area
C. circumference
d. volume
a. area​

Answers

Answer:

the answer will be volume

please mark the answer as the brainlliest one


Given right triangle ABC, what is the value of tan(A)?

Answers

The value of angle tanA in a right-angle triangle is 12/5. The correct option is C.

What is trigonometry?

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.

Given that the three sides of the right-angled triangle are AB = 26, BC = 24, and AC = 10.

The value of angle tanA will be calculated as:-

tanA = P / B

tanA = 24 / 10

tanA = 12 / 5

Hence, the value of angle tanA in a right-angle triangle is 12/5. The correct option is C.

To know more about Trigonometry follow

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I need to know the area in square centimeters of sector ABC?

Answers

The answer is 100 pi in the question but in cm...is 314cm^2

Answer:

75π / 2

Step-by-step explanation:

a = (∅ / 2π) * πr²

a = (3π/4 / 2π) * π(100)

a = (3/8) * 100π

a = 300/8 * π

a = 75/2 * π

a = 75π / 2

PLZZ THIS IS DUE
Module 8: Directions: Respond to this question to demonstrate your understanding of the topic/content. Be sure to provide adequate and relevant details learned in the module to support your response. Pay close attention to organizing your response so it makes sense and uses correct grammar. Your response should be at least 5-7 sentences at a minimum.



Question: Explain what a chord is and determine if a diameter is or is not a chord?

Answers

A chord is a line segment. This line segment goes from one point on a circle to another. A diameter perfectly exemplifies a chord. The diameter of a circle goes from one end of the circle to the other. Chords aren’t necessarily diameters though, as don’t have to go the full diameter of the circle to be chords.

A quarter back completes 23% of his passes. We want to observe this quarterback during one game to see how many pass attempts he makes before completing one pass. What is the probability that the quarterback throws exactly 6 incomplete passes before he has a completion

Answers

Answer:

[tex]Pr = 0.0479[/tex]

Step-by-step explanation:

Given

[tex]p =23\%[/tex] --- proportion of completed passes

Required

The probability that he has 6 incomplete before he has 1 completion

Let:

[tex]q \to[/tex] proportion of back passes not completed

Using complement rule:

[tex]q = 1 - p[/tex]

[tex]q = 1 - 23\%[/tex]

[tex]q = 1 - 0.23[/tex]

[tex]q = 0.77[/tex]

The event that he has 6 incomplete passes before he completed one is:

q q q q q q p

And the probability is:

[tex]Pr = q * q * q * q * q * q * p[/tex]

[tex]Pr = q^6* p[/tex]

[tex]Pr = 0.77^6* 0.23[/tex]

[tex]Pr = 0.0479[/tex]

The drama club is selling tickets to their annual talent show. They sold adult tickets (a) for $12.50 each and student tickets (s) for $6. They sold a total of 30 tickets and made $264.50.

Which system of equations best represents the situation above?

Answers

Answer:

12.5a + 6s = 264.5   and   a + s = 30

Step-by-step explanation:

They also intersect at (17, 13)

(17 student tickets, 13 adult tickets)

Good Luck!

is my dad abusive? today he grabbed my ears so hard and they turned so red and he put his arms around my face. then he kicked me really hard to the point where I peed, he also pushed me a lot and started slapping me. he did more which I can't remember but he also smashed my phone :) this all happened within 20 minutes and I could barely breathe after that lol. this may not seem so much but it is. this is too personal ig lol and I started self-harming again bc of him yay.

Answers

Answer:

Step-by-step explanation:

OMG! Don't do that! I am so sorry this is happening to you. Look I don't know how to comfort you. IF he keeps doing this tell your mom or litterally call 911. If he did it just on that day then try confronting him on it. And ask him why he did that! Don't self-harm you deserve so much more than that! You are awesome!

Find the measure of x and y

Answers

Answer:

y - 41°

x - ?

Step-by-step explanation:

use method of Z equation

Z 41° so y is 41° too

make sense

What is the congruence correspondence, if any, that will prove the given triangles congruent?

Answers

Answer:

Step-by-step explanation:

In ΔFYG & ΔBUH

∠F = ∠B

FY = BU

YG = UH

ΔFYG ≅ ΔBUH   { Angle Side Side congruent}

Use the Pythagorean theorem to classify the triangle
formed by the three fences. Which is true about the
numbers 5, 12, and 13?

Answers

Answer:

they are equal

Step-by-step explanation:

The triangle with sides 5, 12, 13 is a right triangle because

a^2+b^2 = c^2

5^2+12^2 = 13^2

25+144 = 169

169 = 169

I'm using the pythagorean theorem converse.

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