Answer:
767.9
Step-by-step explanation:
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Answer:
x = 15
Step-by-step explanation:
<u>If angles are complimentary, they add up to 90 degrees</u>
<u />
<u>Step 1: Make an equation</u>
<em>x + (3x + 30) = 90</em>
<em />
<u>Step 2: Solve for x</u>
x + (3x + 30) = 90
x + 3x + 30 = 90
4x + 30 - 30 = 90 - 30
4x / 4 = 60 / 4
<em>x = 15</em>
<em />
Answer: x = 15
Answer:
Step-by-step explanation:
Parallel lines have identical slopes
4x - 7y = 9
7y = 4x - 9
y = (4/7)x - 9/7
so the parallel line has form
y = (4/7)x + b
plug in the point on the line
3 = (4/7)7 + b
b = -1
y = (4/7)x - 1
As you did not tell us where you live and what time you intend to go to bed, we have NO way of knowing your actual deadline
Answer: Cruz's biking is 16 miles per hour and his running speed is 10 miles per hour.
Step-by-step explanation:
Let x represent Cruz's speed when running.
He left his house at 6:00 and ran until 7:30. This means that the time spent while running is 1hour 30 minutes = 1.5 hours.
Distance = speed × time
Distance covered while running would be
1.5 × x = 1.5x
Then he rode his bike until 9:45. This means that the time he spent riding his bike is 2hours 15 minutes = 2 hours + 15/60 = 2.25 hours
His speed when biking was 1.6 times his speed when running. It means his speed when biking would be
1.6 × x = 1.6x
Distance covered while riding would be
1.6x × 2.25 = 3.6x
He covered a total distance of 51 miles. Therefore,
1.5x + 3.6x = 51
5.1x = 51
x = 51/5.1 = 10 miles per hour.
His biking speed would be
1.6 × 10 = 16 miles per hour.
Answer:
S={HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}
Step-by-step explanation:
As can be seen in the Sample Tree attached, the eight elements in the sample space whose outcomes are all the possible head-tail sequences obtained in the three tosses are:
S={HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}
