A small airplane takes off from point A and continues to climb upward in a straight line, as shown in the diagram. What is the plane’s distance from point A when it reaches point C?
A. 6,900 feet
B. 7,000 feet
C. 11,636 feet
D. 12,600 feet
E. 13,400 feet

A Small Airplane Takes Off From Point A And Continues To Climb Upward In A Straight Line, As Shown In

Answers

Answer 1
Answer: Choice D.  12,600 feet

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

Explanation:

We have two similar triangles here, so we can set up the proportion below to solve for x

5200/(5200+6500) = 5600/x

5200/11700 = 5600/x

5200x = 11700*5600 .... cross multiply

5200x = 65,520,000

x = (65,520,000)/(5200)

x = 12,600 which shows why the answer is choice D

side note: 12,600 ft = 2.386 miles approximately

Answer 2

The plane’s distance from point A when it reaches point C is 12600 feet.

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

From the figure,

The two triangles are similar.

This means,

The ratio of its corresponding sides is equal.

So,

(5200 + 6500) / 5200 = (5600 + BC) / 5600

Solve for BC.

(5200 + 6500) / 5200 = (5600 + BC) / 5600

(11700 / 5200) x 5600 = 5600 + BC

117/52 x 5600 = 5600 + BC

BC = 12600 - 5600

BC = 7000

Now,

The plane’s distance from point A when it reaches point C.

= AB + BC

= 5600 + 7000

= 12600 feet

Thus,

The plane’s distance from point A when it reaches point C is 12600 feet.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ5


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4 1/2 ounces per 3/4 miles
_____ ounces per 1 mile

Answers

Answer: 6

Step-by-step explanation:

To get 3/4 miles to 1 mile we must take the reciprocal of the number and multiply it.

[tex]\frac{3}{4}[/tex]×[tex]\frac{4}{3} =1[/tex]

We need to multiply the 4 1/2 ounces by 4/3 too

[tex]4\frac{1}{2}[/tex]×[tex]\frac{4}{3} =6[/tex]

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Answer:

6 ounces

Step-by-step explanation:

Let the unknown number be x

[tex]4 \frac{1}{2} \: \: ounces = \frac{3}{4} \: \: miles \\ x = 1 \: \: mile[/tex]

Now simply use cross multiplication to solve it

[tex]4 \frac{1}{2} \times 1 = \frac{3}{4} x \\ \frac{9}{2} \times 1 = \frac{3}{4} x \\ \frac{9}{2} = \frac{3x}{4} \\ [/tex]

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Answers

Answer:

Choice D: 6 - r - 6 = - 24 - 6

Step-by-step explanation:

Equation is that sum of 6 and r is -24.

Thus;

6 + (-r) = - 24

6 - r = - 24

To isolate r in this equation, we will subtract 6 from both sides to get;

6 - r - 6 = - 24 - 6

Thus,option D is correct

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3
8
15
o b< 2 1
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Answers

Answer:

D (last answer)

Step-by-step explanation:

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Answers

Answer:

54

Step-by-step explanation:

Adam sells stationary cards in pack of 6

And also envelops in pack of 9

Therefore the minimum number of cards he have to buy can be calculated as follows

= 9×6

= 54

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Answer:

1<x≤3

Step-by-step explanation:

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Answer: 5 and 764 over 999

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

3(2x+1)

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Answer:

3*2x+3*1

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The number of daily customers at the Good Eats Diner for one week was 70, 68, 110, 65, 90, 125, and 105. What is the standard deviation of the data?


A. 21.9

B. 25

C. 90

D. 90.4

Answers

Answer:

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Step-by-step explanation:

Answer:

B

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U
30
W
V
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Answers

Answer:

cos W = 7/15

Step-by-step explanation:

Mathematically the cosine of an angle is the ratio of the adjacent to the hypotenuse side

From the diagram given, 14 is adjacent to vertex w and 30 faces the right angle which makes it the hypotenuse

So, we have it that;

cos W = 14/30

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Answers

Answer:

i think it's a. Not so sure though

Answer:

option C

Step-by-step explanation:

Line is defined as a path through space.

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Answers

Answer:

Train A is travelling faster.

Step-by-step explanation:

Train A is going 55mph, and train B is going 45mph according to the table.

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Answers

Answer:

A. r = -0.93

Step-by-step explanation:

First, if there is a negative correlation, the correlation coefficient will be negative.

This eliminates answer choices C and D, which are positive.

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Answers

Answer:

A = 90º

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Step-by-step explanation:

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Answers

Answer:

a = 8, b = 2.25, k = 27

Step-by-step explanation:

y = abˣ

Points on the graph:

(0, 8), (1, 18), (1.5, k)

Substitute coordinates into equation and solve for and and b:

8 = ab⁰ ⇒ 8 = a*1 ⇒ a = 818 = 8b ⇒ b = 18/8 ⇒ b = 2.25

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k = 8*[tex]2.25^{1.5}[/tex] = 27

Answer:

a=8

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k = 27

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y = ab^x

We know that a is the initial value or when x = 0

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y = 8 b^x

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Answers

Answer:

Yes, SAS Theorem

Step-by-step explanation:

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Answer:

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Answers

Answer:

LETTER A

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

B.x>-17

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-4x/-4<68/-4

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Answers

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Robert is selling his bulldozer at a heavy equipment auction. The auction company receives a commission of 5% of the selling price. If Robert owes $124,850 on the bulldozer, then what must the bulldozer sell for in order for him to be able to pay it off?

Answers

Answer:

$131422

Step-by-step explanation:

Given :

Amount owed = $124,850

Commison on sale = 5%

Let :

Sale price of bulldozer = x

Sale price = amount owed + 5% of sale price

x = 124850 + 0.05*x

x = 124850 + 0.05x

x - 0.05x = 124850

0.95x = 124850

x = 124850 / 0.95

x = 131421.05263

To the nearest dollar = $131422

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Answers

Answer:

D

Step-by-step explanation:

surface area of cylinder

=(area of base)×2 + (area of curved surface)

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Answer:

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