Answer:
Therefore,
ΔABD ~ ΔACB by Angle-Angle Similarity Postulate
AB is 8 unit.
Step-by-step explanation:
Given:
∠ABD ≅ ∠BCD
AD = 4
DC = 12 Therefore AC =AD + DC = 4 +12 =16
AC =16
To Find:
Similar Triangles
AB =?
Solution:
In ΔABD and ΔACB
∠ABD ≅ ∠ACB ……….{Given}
∠ A ≅ ∠ A .……..{Reflexive Property}
ΔABD ~ ΔACB ….{By Angle-Angle Similarity Postulate}
If two triangles are similar then their sides are in proportion.
Substituting the values we get
Therefore,
ΔABD ~ ΔACB by Angle-Angle Similarity Postulate
AB is 8 unit.
Answer:
- a) 6.5 seconds
- b) 13 seconds
- c) 679 ft
Step-by-step explanation:
<u>Given function:</u>
a) <u>Maximum height is the vertex.</u> The ball reaches the maximum after:
- h = -208/2(-16) = 6.5 seconds
b) <u>Time the ball was in the air:</u>
Solving we get approximately t = 13 seconds
c) <u>Maximum height is at vertex, we found t above:</u>
- h(6.5) = -16(6.5)^2 + 208*6.5 + 3 = 679 ft
Answer:
d. The width of Elly's interval will be less than the width of Drew's interval.
Step-by-step explanation:
The confidence level and the width of the confidence interval are direct proportional. This means that a confidence interval with a higher confidence level has a higher width.
For example, a 99 percent confidence interval is wider than a 90 percent confidence interval.
The midpoint of the confidence interval is the mean of the population, no matter the confidence level.
In this problem, we have that:
Elly: 90 percent CI
Drew: 99 percent CI
The correct answer is:
d. The width of Elly's interval will be less than the width of Drew's interval.
