Three sticks are arranged to form a right triangle. If the lengths of the three sticks are 0.47 m, 0.62 m and 0.78 m, what are the three angles of the triangle?

Answers

Answer 1

The angles in the triangle are 91 degrees, 53 degrees and 36 degrees respectively.

What is the cosine rule?

From the cosine rule we know that;

c^2 = a^2 + b^2 - 2abcosC

Since;

a = 0.47 m

b =  0.62 m

c =  0.78 m

Then;

(0.78)^2 = (0.47)^2 + (0.62)^2 - 2(0.47 * 0.62)cosC

0.61 = 0.22 + 0.38 - 0.58 cosC

0.61 - ( 0.22 + 0.38) = - 0.58 cosC

0.01 = - 0.58 cosC

C = cos-1(0.01/-0.58)

C = 91 degrees

Using the sine rule;

b/Sin B = c/Sin C

0.62/sinB = 0.78/sin 91

0.62/Sin B = 0.78

B = sin-1 (0.62//0.78)

B = 53 degrees

Angle A is obtained from the sum of angles in a triangle;

180 - (91 + 53)

A = 36 degrees

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An object of volume 2.0×10⁴cm³ is under water .calculate the buoyant force of water on the object (Density of water=1000kg/m³)

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Answer:

An object of volume 2.0×10⁴cm³ is under water .calculate the buoyant force of water on the object (Density of water=1000kg/m³) 196.2N

A type of anchor that is a good choice when jacking or leveling
the fastening component is a(n)_
Select one:
O a. wedge anchor
O b. stud bolt anchor
O c. one-piece anchor
O d. hammer-set anchors

Answers

A type of anchor that is a good choice when jacking or leveling the fastening component is a stud bolt anchor.

What is a Stud bolt anchor?

These are the type of anchor which bare embedded in concrete with the threaded portion on the outside.

This makes it easier to jack or level the fastening component which is why option B was chosen.

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Microscopes are used to study the structures of rocks. Over time, microscopes have become more and more powerful.

As a result of this technological improvement, our structural information of rocks

Answers

As a result this technological improvement, our structural information of rocks has improved greatly.

What is a petrographic microscope?

A petrographic microscope is a type of optical microscope that is used to identify rocks and minerals in very thin sections and also to investigate microscopic textures and features that are present in minerals and rocks.

This has improved greatly recent structural information about rocks.

Hence, microscopes used in the study of structures of rocks has overtime improved greatly our structural information about them

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Answer:

B is the correct answer.

Explanation:


An aircraft lands and brakes, slowing from 250 m/s to 5 m/s in 30 secs. What is it's acceleration?
O-10 m/s²
-8.2 m/s²
-1.3 m/s²
-5.2 m/s²

Answers

The acceleration of the aircraft is determined as -8.2 m/s².

Acceleration of the aircraft

The acceleration of the aircraft is calculated as follows;

a = Δv/t

where;

Δv is change in velocityt is time

a = (5 - 250)/(30)

a = -8.2 m/s²

Thus, the acceleration of the aircraft is determined as -8.2 m/s².

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A car travels 263.0 miles in 5.5 hours. How long will it take to travel 363.0 miles at
this average velocity? (Answer to 1 decimal place)

Answers

From the average velocity calculated, if the car should travel 363.0 miles, the time elapsed will be 7.6 hours.

How long will it take to travel 363.0 miles at the given average velocity?

Note that; Velocity is the speed at which an object moves in a particular direction. It is expressed as;

v = distance / time

Given that;

Distance covered by the car d = 263.0 milesTime elapsed t = 5.5 hours

First we determine the velocity of the car.

v = distance / time

v = 263.0 miles / 5.5 hours

v = 47.8181 miles per hour.

Now, if the car travels 363.0 miles, time elapsed will be;

velocity = distance / time

time = distance / velocity

time = 363.0 miles / 47.8181 miles per hour

time = 7.6 hours

Therefore, from the average velocity calculated, if the car should travel 363.0 miles, the time elapsed will be 7.6 hours.

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What happens to sound waves from an object as it moves toward you?

The pitch gets higher because of an increase in wavelength.
The pitch gets lower because of an increase in frequency.
The pitch gets lower because of an increase in wavelength.
The pitch gets higher because of an increase in frequency.

Answers

The event that happens to sound waves from an object as it moves toward you is The pitch gets higher because of an increase in wavelength.

What is sound waves?

Sound waves refer to a form of transverse wave that compress and vibrate while travelling from one medium to another thereby transferring energy.

Therefore, The event that happens to sound waves from an object as it moves toward you is The pitch gets higher because of an increase in wavelength.

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anxious to the point that he couldn't eat very well without his stomach feeling queasy. As a result of his stress, Jonah increased his time of practicing basketball and asked an old team member to help him develop new skills he needed in order to make the team. After hearing that he made the basketball team a day after tryouts, Jonah went out for a large pizza with the rest of the team players.

Based on this information, a psychologist would most likely conclude that Jonah's stress __________.

Answers

Based on this information, a psychologist would most likely conclude that Jonah's stress led him toward positive personal changes.

What is stress?

When a person is afraid or tensed about something, he overthinks about him and become stressed.

Anxious to the point that he couldn't eat very well without his stomach feeling queasy. As a result of his stress, Jonah increased his time of practicing basketball and asked an old team member to help him develop new skills he needed in order to make the team. After hearing that he made the basketball team a day after tryouts, Jonah went out for a large pizza with the rest of the team players.

As, he is feeling good, he wants to celebrate himself. So, he went to eat pizza with his team players. This shows that he is not stressed but happy.

Thus, ,this information depicts that Jonah's stress led him toward positive personal changes.

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