Part B solve the proportion you wrote in part A. Then use it to answer the problem. Show your work.
Answer:
Step-by-step explanation:
2πr/4=2π
r/4=1
r=4 cm
Choose 3 answers:
A) 13 = 9 + m
B)7- m = 3
C) 15 = 11m
D) 5 = m + 2
E) 20 divide m =5
Answer:
A, B, E
Step-by-step explanation:
A) 13=9+m
m= 13-9
m=4 ✔️
B) 7-m =3
m= 7-3
m=4 ✔️
C) 15= 11m
15=11*4
15≠44
D) 5= m+2
If m=4 therefore
5≠4+2
5≠6
E) 20 divide m = 5
20/4 = 5
therefore, m=4 ✔️
By substituting m=4 into each equation, we find that options A) 13 = 9 + m and E) 20 divided by m = 5 are the correct equations where m=4 is a solution.
In mathematics, specifically algebra, we can solve and check equations by plugging in values. You are asked to find the equations where m = 4 is a solution.
Let's substitute m with 4 in each equation:
Therefore, the equations where m=4 is a solution are A) 13 = 9 + m and E) 20 divided by m = 5.
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The distance traveled in the york canal is one-half the distance traveled on stover lake. The correct option is C.
A ratio shows us the number of times a number contains another number.
Given that Going through York Canal, Darius drives 5 miles in 15 minutes. Therefore, the distance traveled by him in this time period is 5 miles. And his speed is,
Speed = Distance / Time
= 5 miles / 15 minutes
= (1/3) miles per minutes
Also, as he crosses Stover Lake, he drives 30 minutes at the same average speed. Therefore, the distance that is traveled by him is,
Distance = Speed × Time
= (1/3) miles per minute × 30 minutes
= 10 miles
Further, if we take the ratio of the distance of the two, then we can write,
Distance traveled in the York canal = (1/2) Distance traveled in Strover Lake
Hence, The distance traveled in the york canal is one-half the distance traveled on stover lake.
The complete question is:
Darius takes his family on an afternoon boat ride. Going through the york canal, he drives 5 miles in 15 minutes. Later on, as he crosses stover lake, he drives 30 minutes at the same average speed. Which statement about the distance is true?
A : The distance traveled in the york canal is 15 miles less than the distance traveled on stover lake.
B : The distance in the york canal is twice the distance traveled on stover lake.
C: The distance traveled in the york canal is one-half the distance traveled on stover lake.
D: The distance traveled in the york canal and stover lake are the same.
Learn more about Ratios here:
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Answer:
Step-by-step explanation:
Given that Darius takes his family on an afternoon boat ride.
First he drives 5 miles in 15 minutes.
Next he drives 30 minutes at the same rate i.e. 5 m/15 min or 20 miles/hour
Since speed is 20 miles/hour, it follows that he travels 10 miles in 30 minutes.
So the true statement is
he travels 10 miles in 30 minutes
Concept used:
Distance travelled = speed x time
Speed =average speed normally denoted by miles per bour
1.) is correct.
2.) your answer is incorrect: it's the first two choices.
3.) is correct.
4.) is correct.
5.) is correct.
6.) I'm not quite sure.
7.) your answer is incorrect it's the third choice.
8.) I'm not quite sure.
Answer:
1. The slant height of the tower of Pisa is
Where:
= Vertical height of the tower of Pisa (Required)
= Length of from the base of the tower to the point where the top is directly up above
2. Calculation of time using the length our shadow
Step-by-step explanation:
1) As the sun is rising, we measure the our shadow and the measure the shadow cast by the leaning side of the tower of Pisa, then we use similar triangles to calculate the vertical height of the tower of Pisa as follows;
Then, at exactly noon, or when the Sun is directly overhead the tower casting a shadow, we measure the length of the covering from the the base to end of the shadow where the tip is directly up ahead (which can be done by measuring the base of the tower to the point where the top of the tower is directly up above), we call this length
Then, the slant height of the tower of Pisa =
2. Other real world situation is the calculation of the time of the day using our shadow and triangulation.