Answer:
x=27
Step-by-step explanation:
63+90+x=180
63+90=153
180-153= 27
Answer:
2.10 s, 10.40 s.
Step-by-step explanation:
We know that the height of the rocket is given by the function:

We are asked to find the time for which the height of the rocket will be 350 ft. So, for that moment, we know the height but we don't know the time; however, we know that the equation can help us to find the time, doing h=350:

The last is a quadratic equation, which can be put in the form
and solved applying the formula:

So, let's put the equation on the form
adding
and subtracting
to each side of the equation; the result is:

So, we note that a=16, b=-200, and c=350.
Then,


According to the equation, that are the times for which the height will be 350 ft; that is because the rocket is going to ascend and then to fail again to the ground.
Answer:
The first option (5.7km)
Step-by-step explanation:
Since we have a right angle triangle and we know two of its sides we can easily find out the thirds side (the value of d) by using the Pathagoras Theorem. In our case 7 and d are our legs and the hypotenuse is equal to 9, so...
(Based on the Pathagoras Theorem)



d ≈ 5.7km
There for aproximate distance across the lake is equal to 5.7km
Answer: x = 1.6
Step-by-step explanation:
Start by Identifying what you need to keep, in this case that would be X. In order to solve for x, you would need to get rid of any co-efficients. (example: +1.1) To get rid of them, you have to do the opposite action of what it's doing to the equation. (subtraction)
1.1- (-2.1) = 3.2 (if you subtract a negative, it turns positive/ you add) leaving you with x/2 = 3.2.
Now that we have our coefficient out the way, we have to get rid of the division so we can <u>only</u> solve for x. We do that by dividing the remainder of the equation by 2
3.2/2 = 1.6
Leaving us with the answer, x = 1.6