Answer:
Avas unit rate is for a mile 16.6666666667 minutes. while Mauras is 15 mins
Step-by-step explanation:
It would take Ava 16.6666666667 to run a mile, while it would take Maura 15 minutes to run a mile.
Answer:
a) Giving Reasons Why the Two Triangles are Similar
Similar triangles have the same shape but can be different sizes. For triangles to be similar, their matching angles must be equal, and their matching sides must have the same proportions.
In this problem, we have two triangles - one made by the tree, its shadow, and the line connecting the top of the tree to the end of the shadow. The other triangle is made the same way using the stick.
The bottom angle where the shadow meets the ground is 14 degrees for both triangles. Also, the vertical angles where the tree and stick meet the ground are both 90-degree right angles. Using those known angles, we can find the remaining top angles in each triangle, which are both 76 degrees (180 - 90 - 14 = 76).
Since the corresponding angles in the tree shadow triangle and the stick shadow triangle are all equal (14, 90, and 76 degrees), the two triangles have the same shape. This means the tree shadow triangle and stick shadow triangle are similar triangles.
b. Find the scale factor for the side lengths of the triangles.
The scale factor between two similar triangles is the ratio of their corresponding sides. In this case, you should use the length of the shadows to calculate the scale factor.
Since the shadow of the stick is 4m long and the shadow of the tree is 8m long, the scale factor from the tree's shadow to the stick's shadow is 4/8 = 0.5, or 1/2.
c. Find the height of the tree.
Given that the triangles are similar, and the scale factor is 1/2, the height of the tree would be twice the height of the stick because the stick's shadow is half the length of the tree's shadow.
So the height of the tree would be 2 * 1m = 2m.
Hope this helps! :)
Answer:
To calculate how much time you spend on each activity, you need to fill in the circle with everything you do in a day, using 24-hour format1. For example, if you sleep for 8 hours, work for 4 hours, and study for 3 hours, you can write these numbers in the circle. Then, you can add up the hours for each activity and write them in the table below.
Here is an example of how to fill in the circle and the table:
|-----------------|
| |
| 8 4 |
| / \ / \ |
| / \/ \ |
| / /\ \ |
|/ / \ \ |
| / \ \ |
| / \ \ |
| / \ \|
| / \ /|
|/ \ / |
| X |
| / \ |
| / \|
| / |
| 3 |
| |
|-----------------|
ACTIVITIES BREAKDOWN - Hours per week
1. Class Time: 0
2. Study Time, reviewing, projects, papers: 3 x 7 = 21
3. Commuting: 0
4. Dressing and eating: 1 x 7 = 7
5. Hours of employment: 4 x 5 = 20
6. Responsibilities at home: 1 x 7 = 7
7. Athletics requirements: 0
8. Telephone and computer: 2 x 7 = 14
9. Television: 1 x 7 = 7
10. Sleeping: 8 x 7 = 56
11.
12.
13. Wasted hours:
Total: (21 + 7 + 20 + 7 + 14 + 7 +56) =132
Total number of hours per week =168
Subtract your Total (132)
Total free hours per week = (168 -132) =36
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
there is no mistake
Which joint frequency has the most flights?
Answer:
c
Step-by-step explanation:
35 is greater than the other options.
Answer:
the correct answer is c
Step-by-step explanation: