Answer:
1.17 units
Step-by-step explanation:
Given :
If x = 45, y = 63, and the measure of AC = 4 units, what is the difference in length between segments AB and AD?
x= 45° ; y = 63° AC = 4 units
From trigonometry,
Taking triangle ADC;
sinθ = opposite / Hypotenus
Sin63° = 4 / AD
AD = 4 / 0.891 = 4.489 units
From triangle ABC;
sin45° = 4 / AB
AB = 4 / 0.7071
AB = 5.656 units
Difference = (5.657 - 4.489) units
= 1.167 units
= 1.17 units (nearest hundredth)
C) 90, similar shapes maintain angle measures, and are a fraction of a size of the original shape. (A ratio if you will.)
Answer:
Haeather ran at a speed of 5 miles per hour.
Step-by-step explanation:
Given that last week at the park Haeather ran 4 miles in 48 minutes, to determine what was Haeather rate of speed in miles per hour the following mathematical calculation must be performed:
48/4 = 12
Thus, Haeather ran 1 mile every 12 minutes.
60/12 = 5
1 x 5 = 5
Therefore, Haeather ran at a speed of 5 miles per hour.
Answer:
5ln3=ln(3^5)
Step-by-step explanation:
Given: 5ln(3)
Use rule: alog(b)=log(b^a), aln(b)=ln(b^a) (doesn't matter what the log base is)
Apply rule: ln(3^5)