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Artemon [7]
3 years ago
5

what is " the perimeter of a triangle is between 10 and 15 inclusively. if two of the sides of the triangle are 3.7 and 5.2, fin

d the range of possible measurements of the third side."​
Mathematics
1 answer:
Alona [7]3 years ago
7 0

Answer:

the range is 1.6 to 6.1

Step by Step:

2 sides of a triangle have to be greater than the third

add 3.7 and 5.2 this gives you 8.9, which means 8.8 is the greatest number that side can be

1.6 is the lowest the side could be because if it was anything lower then 5.2 would be greater than the sum of 3.7 and this side were calculating

that gives you the range 1.6 to 8.8 now we play a little bit of guess a d check trying to make the range fit the last piece of information that we were given that the perimeter is between 10 and 15

the perimeter is the sum of all the sides so pick different numbers from the range we found and play guess and check to find which ones are too high or low in this case the numbers were only to high

the highest number you can have that is within the range we found but fits the perimeter is 6.1

therefore the range 1.6 to 6.1

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Answer:

The distance is (2, 0)

Step-by-step explanation:

The first number is on the X axis. You move forward two places to get 7. The second number is on the Y axis, and you don't need to move anything so it stays the same. Hence the answer is a distance of two on the X axis.

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3 years ago
Megan uses 2/3 cup of almonds to make 4 cups of trail mix. Using this same ratio, how many cups of almonds would Megan need to m
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Pens cost $p exercise books cost $b. Write an algebraic expression that represent the cost of purchasing 20 pens and 8 exercise
strojnjashka [21]

Answer:

20p+8b

Step-by-step explanation:

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6 0
3 years ago
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Step-by-step explanation:

8 0
3 years ago
Through how many radians do the minute hand and the hour hand move between 1:00 p.m. and 1:45 p.m. (on the same day)? ​
timofeeve [1]

Answer:

π/8 radians

Step-by-step explanation:

THIS IS THE COMPLETE QUESTION

In 1 h the minute hand on a clock moves through a complete circle, and the hour hand moves through 1 12 of a circle. Through how many radians do the minute hand and the hour hand move between 1:00 p.m. and 1:45 p.m. (on the same day)?

SOLUTION

✓If the minute hand on a clock moves through complete circle in 1 hour, then it means that it goes through a circle and angle of circle in radians is 2π.

Between 1:00 p.m. and 1:45pm in the same day we have 45 minutes i.e (1.45 pm -1pm)

Within the 1hour minutes, the hand can move with complete cycle of 2π radians

Then At time t= 45minutes

Angle through the circle at 45 minutes= 45/60 ×2π radians

= 3π/2 radians

And if the hour hand goes through a complete cycle 1/12 as told in the question we have 1/2 × 2π radians

For t=45 minutes

Then 1/12 × 2π ×45/60

= π/8 radians

Hence, the minute hand and the hour hand move π/8 radians between 1:00 p.m. and 1:45 p.m.

5 0
3 years ago
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