We have been given that Tim spends about 1/3 of each weekday sleeping and about 7/24 of each weekday in school. And we need to find what fraction of the weekday does Tim spend either sleeping or in school.
This means that we need to find the time he spends in sleeping when he is in the school.
Therefore, we have to add the time he spends in sleeping and the time he spends in school.
Therefore, required fraction is given by
Now in order to add the fractions, we have to make the denominator same.
Multiply the numerator and denominator of first fraction by 8 to make the same denominator.
Now, we have the same denominator hence, we can add the numerator
Therefore, Tim spends 15/24 hours each weekday sleeping in the school.
Step-by-step explanation:
z^7/z^-14=21
z^21=21
F(n+1) = f(n) + 3 indicates that we add 3 to the previous term to get the next term
So,
next term = (previous term) + 3
second term = (first term) + 3
second term = (-4) + 3
second term = -1
Making the answer to be choice B) -1
294
You can draw 2 blocks representing two one hundreds.
Draw 9 ten columns.
Draw 4 one squares.
Answer:
Step-by-step explanation:
<h3>Question 1</h3>
It is assumed the chords have equal length: PQ = SR
If the vertexes connected with the center, the both chords will form a right triangle, with the hypotenuse being the radius.
<u>Then the radius is found using Pythagorean theorem:</u>
- r =
= 
= 29
<h3>Question 2</h3>
<u>Use the intersecting secants theorem: and solve for x:</u>
- FS*FT = FP*FQ
- 4(4 + x) = 5(5 + 3)
- 16 + 4x = 40
- 4x = 24
- x = 6
