1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
anyanavicka [17]
3 years ago
7

A plane flies due south for 600 miles. It turns and flies 250 miles ,35 degrees east of south. How far is the plane from it’s or

igin. Step by step..Explanation.Please..

Mathematics
1 answer:
Mariulka [41]3 years ago
6 0

The distance of plane from the origin is 357.14 miles

<u>Explanation:</u>

Given:

distance traveled southwards, y = 600 miles

Distance traveled east of south, z = 250 miles

Angle, θ = 35°

Distance of plane from the origin, x = ?

The figure is attached for reference:

tan θ = Perpendicular / base

tan θ = distance travelled east of south / x

tan 35° = 250 / x

we know,

tan 35° = 0.7

So,

0.7 = \frac{250}{x} \\\\x = \frac{250}{0.7} \\\\x = 357.14 miles

Therefore, the distance of plane from the origin is 357.14 miles

You might be interested in
The phone company A Fee and Fee has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount o
IgorLugansk [536]

Answer:

y=0.2x+29

Step-by-step explanation:

Given that:

y is the total monthly of the A Fee and Fee plan.

x is the number of monthly minutes used.

  • If a customer uses 290 minutes, the monthly cost will be $87, we have the pair (290, 87)
  • If the customer uses 980 minutes, the monthly cost will be $225, this is the coordinate pair (980, 225).

We want to obtain an equation in the form: y=mx+b

First, let us determine the slope, m

Given points (290, 87) and (980, 225):

<u>Slope</u>

m=\dfrac{225-87}{980-290} =\dfrac{138}{690}=0.2

Next, we determine the y-intercept, b.

Substituting the pair (290, 87) and m=0.2 in y=mx+b, we obtain

87=0.2(290)+b

b=87-0.2(290)=29

Therefore, our equation in the form y=mx+b is:

y=0.2x+29

8 0
3 years ago
Use the distributive property to write an equivalent expression.<br> 3(8-9)
yulyashka [42]
The solution to this is 3(8)-3(9).
8 0
3 years ago
Solve show step by step process <br><br> 2/3 x + 5/6 = 11/4 (x +2)
monitta

Answer:

-  \frac{56}{25} \: or - 2 \frac{6}{25}  \: or \:  - 2.24

5 0
3 years ago
I need help on this question
katen-ka-za [31]
Measure of the interior angle: 180 -113: 67
the measure of interior angle is 67.
8 0
3 years ago
Trenton and Maria record how much dry food their pets eat on average each day.• Trenton's pet: 4/5 cup of dry food• Maria's pet:
Phoenix [80]

6.3 many more cups of dry food will Maria's pet have eaten than Trenton's pet will have eaten over 2 seven-day weeks

<u>Step-by-step explanation:</u>

We have , Trenton and Maria record how much dry food their pets eat on average each day.• Trenton's pet: 4/5 cup of dry food• Maria's pet: 1.25 cups of dry food. Based on these averages . We need to find  how many more cups of dry food will Maria's pet have eaten than Trenton's pet will have eaten over 2 seven-day weeks . We need to find how much they eat for 14 days as:

Trenton's pet: 4/5 cup of dry food•

With 4/5 per day , for 14 days :

⇒ 14(\frac{4}{5} )

⇒ 14(0.8 )

⇒ 11.2

Maria's pet: 1.25 cups of dry food.

With 1.25 per day , for 14 days :

⇒ 14(1.25 )

⇒ 17.5

Subtracting Maria's - Trenton's :

⇒ 17.5-11.2=6.3

That means , 6.3 many more cups of dry food will Maria's pet have eaten than Trenton's pet will have eaten over 2 seven-day weeks

3 0
3 years ago
Other questions:
  • Which is the best estimate of square root 47 to the nearest tenth?
    6·1 answer
  • I need help fast plz help me
    13·2 answers
  • HELP ASAP!! Verona is solving the equation –3 + 4x = 9. In order to isolate the variable term using the subtraction property of
    9·1 answer
  • Is 5 a perfect square
    12·2 answers
  • A mortgage firm estimates the true mean current debt of local homeowners, using the current outstanding balance of a random samp
    10·1 answer
  • An explorer is climbing up and rappelling down a series of cliffs and drop-offs. She starts at her base camp, which is on the mi
    15·1 answer
  • A chocolate company selects 50 random packages and checks their weight. It finds that 2 packages have an incorrect weight. How m
    13·1 answer
  • Can someone please help me with this? i don’t understand. thank you!
    11·1 answer
  • Question 6(Multiple Choice Worth 1 points)
    6·1 answer
  • For the graph, identify the axis of symmetry, vertex, y-intercept, max/min, and domain and range
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!