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Neko [114]
2 years ago
14

1.The angle of elevation of a jet plane from a point R on the ground is 60°. After a flight of

Mathematics
1 answer:
egoroff_w [7]2 years ago
5 0

Answer:

<u>Diagram is not so perfect</u>

<u>OR = distance travelled by the jet plane</u><u>.</u>

Step-by-step explanation:

Let point J be the jet plane and OJ be the constant height at jet plane is flying and OR be the distance jet plane is travelling.

h =

1700 \sqrt{3}

Now,

From the figure i drew (1st)

taking 60 as reference angle,

tan60° = p/b

or,

tan60 = 1700 \sqrt{3}  \div b

b \:  = 1700 \sqrt{3}  \div tan60

so, b = 1700m

inital distance = 1.7km(OR)

now,

tan 30 = p/b

tan30 = 1700 \sqrt{3}  \div b \\ or \: b = 1700 \sqrt{3}  \div tan30

so, b = 5100 m

so, final distance = 5.1 km(OR)

Now,

distance travelled = final distance - initial distance

distance travelled = 5.1 km - 1.7km

distance travlled = 3.4 km

Now,

time = 17 seconds

= 0.00472 hour.

Now,

speed = d/t

or, speed = 3.4/0.00472

so, speed = 720.3389km/hr

so, speed = 720 km/hr approximately

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The vertex of this parabola is at (-2, 5). Which of the following could be it’s equation? A. Y=3(x+2)^2-5 B. Y=3(x-2)^2-5 C. Y=3
Mariulka [41]

Answer:  C. y=3(x+2)^{2} +5


Step-by-step explanation:

1. You have the following equation of the parabola in Vertex form:

y=a(x-h)^{2}+k

Where h is the x-coordinate of the vextex and k is the y-coordinate of the vextex.

2. You know that the vertex of this parabola is at (-2, 5), then, susbtitute this point into the equation. Then, you obtain:

y=3(x+2)^{2}+5

3. Therefore, the answer is the option C.


5 0
3 years ago
Read 2 more answers
Find the value of x in the figure below: (Round to the nearest hundredth)
matrenka [14]

Answer:

um I think that the value of x is 41 try it but i'm not really sure...

Step-by-step explanation:

8 0
3 years ago
Find A ∩ C.<br> A) {2,3,5,6,7,9,11,12} <br> B) {2,3,5,6,7,9,11} <br> C) {2,3,5,6,9,11} <br> D) {6,7}
boyakko [2]

Answer:

It is C

Step-by-step explanation:

5 0
3 years ago
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Please help me
pogonyaev
Just multiply 9 to the temperature in Cleveland.

\sf9\times-2=-18

So the temperature in International Falls is -18<span>°F.

It's not 18, because 18 is warmer than -2, not colder and the question says that International Falls is 9 times <em>colder </em>than Cleveland.</span>
7 0
3 years ago
2. Jessica's financial advisor believes that she should spend no more than 28% of her gross monthly income for housing. She has
scoray [572]

Jessica's annual salary is $68571.43.

Data;

  • percentage saved for housing = 28%
  • amount saved annually = $1600

<h3>Percentage</h3>

This is the ratio of a number to the entire value and multiplied by 100

The percentage set aside for housing is given as 28% which is $1600.

Let find 28% of x which is equal to 1600

\frac{28}{100} = \frac{1600}{x}

cross multiply both sides and solve for x

\frac{28}{100}  = \frac{1600}{x}\\ 28*x  = 100*1600\\28x = 160000\\

Divide both sides by the coefficient of x

\frac{28x}{28} = \frac{160000}{28}\\ x = 5714.28

Her monthly income is $5714.28.

Let's multiply this by 12 (months in a year) to determine her gross monthly income.

5714.28*12 = 68571.43

From the above calculations, Jessica's annual salary is $68571.43.

Learn more on percentage here;

brainly.com/question/25567167

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