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
Answers
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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
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
Related Questions
Which correlation coefficient would indicate a strong negative correlation? a. r = -0.93 b. r = -0.23 c. r = 0.75 d. r = 1.0
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.
If there is a strong correlation, the correlation coefficient will be closer to 1, or -1 (since the correlation is negative).
Since -0.93 is closer than -0.23 to 1, it has a stronger correlation.
So, the correct answer is A. r = -0.93
What term must go in the space to complete the statement
Answers
Answer:
5v+35 = 5(v+7)
Step-by-step explanation:
5(v+7) = 5v+35
Answer:
5
Step-by-step explanation:
Because
5(v+7)
5v+35..
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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
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To the nearest dollar = $131422
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]
4 1/2 ounces per 3/4 miles
6 ounces per 1 mile
Answer:
6 ouncesStep-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]
Now make x as the Subject
[tex] \frac{9}{2} = \frac{3x}{4} \\ \frac{9 \times 4}{2 \times 3} = x \\ \frac{36}{6} = x \\ 6 = x[/tex]
So the answer is
6 ouncesWhich is the solution to the inequality?
3
8
15
o b< 2 1
15
Ob>27
o b<3 77
O b>37
Answers
Answer:
D (last answer)
Step-by-step explanation:
solve and simply
Can someone please give me the answer to this
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Answer:
The answer is (4, -6)
Step-by-step explanation:
Point C starts at (2, -5). The triangle moves 2 units right, so 2 + 2 = 4 and 1 unit down, so -5 - 1 = -6
Can someone help me? It's urgent and thank you!
Answers
Step-by-step explanation:
the first option is the answer
it can be gotten by multiplying 2/6 by 100%
since there are 2 o's in school
Find the value of cos W rounded to the nearest hundredth, if necessary,
U
30
W
V
14
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
cos W = 7/15
The equation y 55x represents the
relationship between x, the time that a train
travels in hours, and y, the distance the train
travels in miles for Train A. The table
represents the relationship for Train B.
Determine which train is traveling at a faster
rate of speed.
1
2
4
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Distance (mi)
45
90
135
180
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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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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Step-by-step explanation:
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Answer:
ans:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
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y = abˣPoints on the graph:
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8 = ab⁰ ⇒ 8 = a*1 ⇒ a = 818 = 8b ⇒ b = 18/8 ⇒ b = 2.25Find k:
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a=8
b=9/4
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Step-by-step explanation:
y = ab^x
We know that a is the initial value or when x = 0
We know the point (0,8) so a = 8
y = 8 b^x
Using the point (1,18) for x and y we can find b
18 = 8 * b^1
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Answers
Answer:
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Step-by-step explanation:
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B. 25
C. 90
D. 90.4
Answers
Answer:
it would be A
Step-by-step explanation:
Answer:
B
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The mass of a piece of aluminum is 250 grams. The density of aluminum is 2.7 g/mL. What is the volume of the piece of aluminum? A. 92.59 mL, B. 247.3 mL, C. 95 mL, D. 0.01
Answers
Answer:
LETTER A
Step-by-step explanation:
BECAUSE IF YOU DIVIDE THE 250 GRAMS TO 2.7 G/ML THE ANSWER IS 92.59ml
Answer:
A. 92.59 mL
Step-by-step explanation:
What are the integer solutions to the inequality below?
4x+1<5x≤3(x+2)
Answers
Answer:
1<x≤3
Step-by-step explanation:
Awnser this for brainliest.
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Answer:
1 is the number that goes in the blank
Step-by-step explanation:
3(2x+1)
Distribute
3*2x+3*1
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Answer:
3*2x+3*1
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Adams Stationary sells cards in packs of 6 and envelops in packs of 9. If HyunSik wants the same number of each, what is the minimum number of cards that he will have to buy?
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
