Answer:
1st statement is true.
2nd statement is false.
3rd statement is true.
Step-by-step explanation:
We have been given two inequalities and we are asked to find out whether the given statements are true or false.
represents balance of account A and 
represents balance of account B.
1. We can see from our inequalities that Jeremiah initially invested $100 in account A and $50 in account B. Therefore, 1st statement is true.
2. The rate at which balance of account A grows is 1.2 and rate for account B is 1.23. Therefore, 2nd statement is false.
3. We can find total amount Jeremiah invested in two accounts by adding initial investment of both accounts, that is 100+50=150 . Therefore, 3rd statement is true.
Answer:
-2 > x
Step-by-step explanation:
The strategy<span>Model the situation as a right triangle.
Determine the appropriate trigonometric ratio in order to find the missing angle.
Form an equation and solve for the missing angle.Calculate the final result and round.
</span>
Modeling as a right triangleThis situation can be modeled by the following right triangle. The hypotenuse is 100 meters and the height is 42 meters. <span>We are asked to find the angle of elevation, which is the angle on the left.
</span>Determining the appropriate trigonometric ratio
We are given the side opposite to the missing angle and the hypotenuse <span>The appropriate trigonometric ratio is therefore the SINE.
</span>
<span>
Forming an equation and solving</span>
Denoting the missing angle by θ, we obtain the equation
<span>
</span>Solving the equation, we get
Evaluating this result in the calculator and rounding to the nearest tenth, we get θ =
degrees.
To calculate the Volume of a sphere we use =
i
in this question our radius is 6cm and height is 30cm therefore the volume will be :-
(1/3)\pi *(6)^{2}*30
Answer= 360 cm^{3}
