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Rus_ich [418]
3 years ago
13

Lila flies a drone in the direction of 90° towards Avery. Once she gets to Avery she changes course and flies in the direction o

f 200° towards Mark. Lila and Avery are 20 feet apart; Mark and Avery are 30 feet apart. How far apart are Mark and Lila?
Mathematics
1 answer:
Nikitich [7]3 years ago
8 0

Answer:

X = 13.13 feet

Step-by-step explanation:

Let the distance between Lila and Mark be x.

Let the distance between Avery and lila be A= 20

Let the distance between Avery and Mark be B= 30

Angle x = 200-180=20°

To solve this question we will use the cosine formula which is

X² = A²+ B² -2ABcosx

X²= 20² + 30² -2(20)(30)cos20

X²=1300-1127.6

X²= 172.4

X= 13.13

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Drag each graph to show if the system of linear equations it represents will have no solutions, one solution at (2,6), one solut
hjlf

Answer:

see the explanation

Step-by-step explanation:

<u><em>Verify each case</em></u>

Part 1) The graph show two identical lines, then the system has infinitely many solutions

Part 2) The graph show two perpendicular lines.

Remember that the solution of the system is the intersection point both graphs

The intersection point is (2,6)

therefore

The system has one solution at (2,6)

Part 3) The graph show two intersecting lines at (-6,-2)

Remember that the solution of the system is the intersection point both graphs

The intersection point is (-6,-2)

therefore

The system has one solution at (-6,-2)

8 0
3 years ago
A telephone company charges a fixed monthly rate plus a rate per minute of usage. The company charges $120 for 100 minutes of us
soldi70 [24.7K]
The answer to this is C.
6 0
3 years ago
The differential equation of a certain system is 20⁢y′⁢′+c⁢y′+80⁢y=0
Sholpan [36]

Answer:

c=80

Step-by-step explanation:

Based on my reading the critical damping occurs when the discriminant of the quadratic characteristic equation is 0.

So let's see that characteristic equation:

20⁢r^2+c⁢r+80⁢=0

The discriminant can be found by calculating b^2-4aC of ar^2+br+C=0.

a=20

b=c

C=80

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We want this to be 0.

c^2-4(20)(80)=0

Simplify:

c^2-6400=0

Add 6400 on both sides:

c^2=6400

Take square root of both sides:

c=80 or c=-80

Based on further reading damping equations in form

a⁢y′⁢′+b⁢y′+C⁢y=0

should have positive coefficients with b also having the possibility of being zero.

5 0
3 years ago
WILL GIVE A BRAINLIEST!! PLEASE HELP!!
tia_tia [17]
<span>3^5 * 6^-6 / 3^3 * 6^-4
= 3^2 6^-2
= 3^2 / 6^2
= 9/36
=1/4

answer
</span><span>C.
1/4</span>
5 0
3 years ago
A scientist finds the distances d that two snakes travel in a time of t seconds. the equation 16t = d represents the relationshi
wlad13 [49]
From the equation given, the time for the black mamba snake to cover distance d, will be d/16 while that for the the rought-scaled snake would be d/1.5.
Assume that the distance covered by both snakes is 200 meters;
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Clearly the black mamba is faster at 12.5 seconds compared with the rought-scaled snake.
4 0
3 years ago
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