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3 years ago

Lol I’m struggling very much

Mathematics

1 answer:

Alex73 [517]3 years ago

3 0

Look all you have to do is with each question draw a line to the answer I am going to help you. Mark the 3rd question with answer A Mark the second question with b and the first one C I might be wrong with the first one. Hope this helps

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Please help. Solve the triangle. Round ans to the nearest tenth.

White raven [17]

9514 1404 393

Answer:

C = 21°
a = 13.3
c = 5.4

Step-by-step explanation:

The third angle can be found from the sum of angles in a triangle.

A + B + C = 180°

C = 180° -62° -97°

C = 21°

The remaining side lengths can be found using the Law of Sines.

a/sin(A) = b/sin(B)

a = sin(62°)(15/sin(97°)) ≈ 13.34

Similarly, ...

c/sin(C) = b/sin(B)

c = sin(21°)(15/sin(97°)) ≈ 5.42

The remaining side lengths are approximately ...

a ≈ 13.3

c ≈ 5.4

4 0

3 years ago

An engineer is trying to design a runway for an airport. He knows that airplanes have the ability to accelerate at 3.3 m/s ^ 2 a

chubhunter [2.5K]

Answer:

The proposed 1600 meters runway length is not long enough

Step-by-step explanation:

The given parameters are;

The amount by which a plane can accelerate = 3.3 m/s²

The time it takes for a plane to lift off the ground = 35 seconds

The length of the runway on the blueprint = 1,600 meters

Therefore, from the equation of motion for distance traveled, s, acceleration, a, and time taken, t, we have;

s = u·t + 1/2·a·t²

Where;

u = The initial velocity

t = 35 seconds

a = 3.3 m/s²

Given that all planes will start motion from rest, we have;

u = 0 m/s

Therefore;

s = 0 × 35 + 1/2 × 3.3 × 35² = 2021.25 meters

Which indicates that the length of the runway a plane would need for take off should be at least 2021.25 meters long, therefore, the blueprint's 1600 meters runway length is not long enough.

7 0

3 years ago

A quantity with an initial value of 600 decays exponentially at a rate of

Snowcat [4.5K]

Answer:

The value of the quantity after 87 months will be of 599.64.

Step-by-step explanation:

A quantity with an initial value of 600 decays exponentially at a rate of 0.05% every 6 years.

This means that the quantity, after t periods of 6 years, is given by:

$Q(t) = 600(1 - 0.0005)^{t}$