Answer:
Step-by-step explanation:
-10m + 35 + 5 = 120
-10m + 40 = 120
-10m = 80
m = -8
Answer:
Please see attached image for the graph
Step-by-step explanation:
To graph the elevation versus time, we start by plotting the first point at time zero (when the climb begins) when Zane is 20 meters below the edge (-20 meters). This corresponds to the point (0, -20).
One second later (1 in the horizontal axis), Zane has moved up 4 meters, now reaching -16 meters. This is the point (1, -16) on the graph.
One second later at time 2 seconds, he is another 4 meters up which corresponds to the point (2, -12) on the graph.
you can go on like this plotting more points on the graph.
Please see the attached image that illustrates this and shows the appropriate line that represents Zane's position versus time (pictured in red)
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Answer:
See explanation
Step-by-step explanation:
Consider two triangles ABF and EDF. These triangles are two right triangles, because angles B and D are right anges.
In these triangles,
- ∠ABF ≅ ∠EDF - as two right angles;
- BF ≅ FE - given;
- ∠AFB ≅ ∠EFD - as vertical angles when two lines AD and BE itersect.
By ASA postulate (or HA postulate) these triangles are congruent, so
ΔABF ≅ ΔEDF
Congruent triangles have congruent corresponding parts, so
FA ≅ EF
Answer:
3. It is likely.
Step-by-step explanation:
Let's assume the dartboards circles have radius of r, 2r, 3r and 4r from inner side
<u>Then the areas covered will be as:</u>
- point 20 = πr² = S
- point 15 = π(2r)² - πr² = 3πr² = 3S
- point 1 0 = π(3r)² - π(2r)² = 5πr² = 5S
- point 5 = π(4r)² - π(3r)² = 7πr² = 7S
Total area of the dartboard is S+3S+5S+7S = 16S
The area of point 5 is 7S. And the area of non- 5 point is 16S - 7S = 9S
The probability of scoring at least 10 points is:
As it is between 1/2 and 1, the probability is in 'likely' region
<u>So the correct answer choice is:</u> 3. It is likely