Help me again please I rate you five stars if its correct and I will put a heart on it
1 answer:
You might be interested in
Answer:
The inequality to show how many hours of television Julia can still watch this week can be given as:
⇒
where represents he number of hours of television that Julia can still watch this week
On solving for , we get
Thus, Julia can still watch no more than 3.5 hours of television this week.
Step-by-step explanation:
Given:
Julia is allowed to watch television no more than 5 hours a week.
She has already watched 1.5 hours
To write and solve an inequality to show how many hours of television Julia can still watch this week.
Solution:
Let the number of hours of television that Julia can still watch this week be =
Number of hours already watched = 1.5
Total number of hours of watching television this week would be given as:
⇒
It is given that Julia is allowed to watch no more than 5 hours of television in a week.
Thus, the inequality can be given as:
⇒
Solving for
Subtracting both sides by 1.5
Thus, Julia can still watch no more than 3.5 hours of television this week.
Given the recursive formula, each terms is five time the previous one.
This means that:
is 5 times
, which means
- in turn,
, so we have
. This means that
- Finally,
So, substituting this back gives
In general, since you have , each time you compute a new term you multiply by a factor of 5, so if
, you have
Answer:
4.
5.
Step-by-step explanation:
The sides of a (30 - 60 - 90) triangle follow the following proportion,
Where (a) is the side opposite the (30) degree angle, () is the side opposite the (60) degree angle, and (2a) is the side opposite the (90) degree angle. Apply this property for the sides to solve the two given problems,
4.
It is given that the side opposite the (30) degree angle has a measure of (8) units. One is asked to find the measure of the other two sides.
The measure of the side opposite the (60) degree side is equal to the measure of the side opposite the (30) degree angle times (). Thus the following statement can be made,
The measure of the side opposite the (90) degree angle is equal to twice the measure of the side opposite the (30) degree angle. Therefore, one can say the following,
5.
In this situation, the side opposite the (90) degree angle has a measure of (6) units. The problem asks one to find the measure of the other two sides,
The measure of the side opposite the (60) degree angle in a (30-60-90) triangle is half the hypotenuse times the square root of (3). Therefore one can state the following,
The measure of the side opposite the (30) degree angle is half the hypotenuse (the side opposite the (90) degree angle). Hence, the following conclusion can be made,