Answer:
x = 8/√3
Step-by-step explanation:
We solve that above question using the trigonometric function of sin
Sin theta = Opposite/Hypotenuse
Theta = 60°
Opposite = 4
Hypotenuse = x
Hence,
Sin 60 = 4/x
Cross Multiply
sin 60 × x = 4
x= 4/sin 60
in rational form
sin 60 = √3/2
Hence, x = 4/ √3/2
= 4 ÷ √3/2
= 4 × 2/√3
= 8/√3
Answer:
Reggie travels a speed of 55 miles an hour
Step-by-step explanation:
QUESTION 1
The given equation is
Clear the decimal by multiplying through by 10 to get,
Expand the bracket using the distributive property to get;
Group similar terms to get,
Divide through by 50 to get,
QUESTION 2
We want to solve the inequality,
We expand the bracket using the distributive property to obtain,
Group similar terms to get,
Simplify to get,
We divide both sides of the inequality by -8 and reverse the sign to obtain,
QUESTION 3
Step 1.
Given:4(-6x – 3)+24x= -72x + 132
Step 2.
Distributive property:
-24x – 12 + 24x = -72x + 132
Step 3.
Combine like terms:
–12 = -72x + 132
Step 4.
Addition property of equality:
-144 = -72x
Step 5.
Division property of equality:
2=x
All the properties stated are correct.
2. Deposition is the processes where material being transported by a rive is deposited. It normally occurs when the river loses energy mostly when the river reaches shallow area or towards the mouth when it meets another water body. Rivers flood regularly, and when this happens the river's capacity to transport material is reduced and deposition occurs.
Thus the correct answer is:
<span>Settling of rock pieces in new locations
3. Deposition of sediment carried by a river as the flow leaves it's mouth and enters slower-moving or stagnant water leads to formation of deltas. This occurs normally when the river enters the ocean, sea, lake, estuary.
5. The fall of a ball and the attraction of the nail towards a magnet are both as a result of forces which cannot be seen, these forces are known as non-contact forces. Thus the correct answer is:
</span><span>They both experience non-contact forces.
6. Changes in motion are caused as result of unbalanced forces. This is because, the object will be forced to move in the direction of the resultant forces of the forces that act on it. Thus the correct answer is:
</span><span>Unbalanced forces
8. When we hold a hot mug, the hit moves from the mug to the hand through conduction. This is because it conduction, the heat moves through the abject from hot to cold. Thus the answer is:
</span><span>Conduction, because heat travels from hot to cold
9. The Sphere of Earth that includes the continents and the ocean is called the biosphere. It is composed of the regions of the surface and atmosphere of the earth occupied by living organisms.
10. Given the objects of the same mass in a room. The greatest gravitational force will be exerted by one object on another when the objects are closer to each other, Thus the correct answer is:
2m
11. The stored energy of an object is normally reffered to as the potential energy. It is normally possessed by a given body by virtue of its position relative to others, stresses within itself. Thus the correct answer is:
Potential energy.
12. Biosphere normally caters for the ecosystem while Cyrosphere normally caters for the frozen water. Thus the interaction between these two is seen in:
</span><span>Some marine animals live on the edge of sea ice.
13. Convection is the heat transfer that is normally seen attributed to bulk movement of molecules within fluids such as gases and liquids. Thus the method of heat transfer that takes place when particles of mater move from one place to another in a liquid is known as:
</span><span>Convection
</span>
14. The interaction that between geosphere and atmosphere is :
wind which is formed from the atmosphere blows sand which is in the geosphere. Thus the correct answer is:
<span>Wind blows away sand.
15. Given that a </span><span>lighthouse was 1,000 meters inland on a coast when it was built. After 100 years it was 10 meters inland. What most likely changed relative position of the lighthouse is:
Erosion of the beach by the ocean.
This led to the reduction in the size of the beach.
16. Dissolution of limestone bedrock usually leads to the formation of underground tunnels and caverns. This is because it is characterized by underground drainage systems with sinkholes and caves.
17. The forces that results when one object touches another object is contact force. Contact force is any force that requires contact to occur.
19. The forces that always exists between any two objects having mass is:
Gravitational force.
Objects with mass exert forces on each other via the fore of gravity.
20. The process that transfers heat from the ground to the air touching it is called.
Radiation
21. </span>Given the ideal system <span>energy transmission that takes place when Jim compresses a string is:
</span><span>Potential energy to kinetic energy, and total energy is conserved
</span>
Question 1: The object will move Down, this is because the greatest force is acting downwards. This energy will over come the rest of the energy since they are smaller.
Question 4:
When the speed of an object remains the same, that is, it doesn't decrease or increase, we say that the object is moving at constant speed. Comparing the movements of object A and object B. Object A is moving at a constant speed. Hence the answer is:
Object A: because it travels equal distances in equal intervals of time.
Question:
In process P the liquid is being converted to Gas. This involves heating.
In process Q the liquid is being converted to solid. This requires cooling.
Hence the answer is:
P represents heating and Q represents cooling.
Question 18:
The correct answer is:
Object A is moving at variable speed but Object B is moving at constant speed.
