Answer: 16 units
Step-by-step explanation:
Given that in triangle ABC, m∠C=90,
it means m∠A +∠B= m∠BAC + m∠ABC = 90
m∠ABC = 90 - m∠BAC
Also given that;m∠BAC = 2m∠ABC
So,
m∠BAC = 2(90 - m∠BAC) = 180 - 2m∠BAC
m∠BAC +2m∠BAC = 180
3m∠BAC = 180
m∠BAC=180/3 = 60
m∠ABC = 60/3 = 30
thus,ΔBAC is a 30-60-90 right triangle, in which the ratio of the side lengths is 1:√3:2AC:BC=1:√3, AC=BC/√3BC=24, So,
AC=24/√3=8√3AL bisects angle A =>m∠LAC=30
ΔALC is a 30-60-90 right triangle, in which the ratio of the side lengths is 1:√3:2AC:AL=√3:2AL=2AC/√3=2x8√3/√3=16
Answer:
He will need to sleep 5.77 hours
Step-by-step explanation:
The first night, he slept 3 percent more than the previous night, meaning 5.28 + (5.28 x 3/100) = 5.28 + 0.1584 = 5.4384
The second night, he will need to sleep 3 percent more than the previous night, meaning 5.4384 + (5.4384 x 3/100) = 5.4384 + 0.163152 = 5.601552
The third night, he will need to sleep 3 percent more than the previous night, meaning 5.601552 + (5.601552 x 3/100) = 5.601552 + 0.16804656 = 5.76959856 = 5.77
Answer:
$342
Step-by-step explanation:
370+310+380+340+310=1710
1710/5=342
I think that the correct answer would be <span>6.5 · 10^9. but im not 100% positive
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