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kati45 [8]
3 years ago
9

Calculate the perimeter of the figure below.

Mathematics
1 answer:
mote1985 [20]3 years ago
7 0

Well, we know perimeter is just adding all the lengths together.

And we already know 2 of the lengths, so we know the rest. 11 1/2 is the same as the opposite side, and 6 1/3 is the same as the opposite side.

So the sides are 6 1/3, 6 1/3, 11 1/2, 11 1/2.

Add them up:

6 1/3 + 6 1/3 + 11 1/2 + 11 1/2.

Improper fractions:

19/3 + 19/3 + 23/2 + 23/2.

Common denominator, (6):

38/6 + 38/6 + 69/6 + 69/6 = 214/6.

Simplify:

214/6 =  35 2/3

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yanalaym [24]

Answer:

Two straight lines with slopes m and m' are parallel when m = m'

Two straight lines with slopes m and m' are perpendicular when m × m' = - 1.

Step-by-step explanation:

Let us assume that the two non-vertical lines in the slope-intercept form are

y = mx + c ........... (1) and  

y = m'x + c' ............ (2)

If those two lines are parallel then we can say the slope of them will be the same i.e. m = m'

Now, if given two straight lines (1) and (2) are perpendicular to each other and neither of them is parallel to the axes, then we can write m × m' = - 1. (Answer)

6 0
3 years ago
A dog eats 7 cans of food in 3 days. At this rate, how many cans of food does the dog eat in 3 + d days?
Dafna1 [17]
The dog eats 7 cans plus d cans?
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6 0
3 years ago
Read 2 more answers
If the circumference of the circle is 37.68 units, what is the area? (Use 3.14 for pi .)
solniwko [45]

Answer: 113.04

Step-by-step explanation: The equation for the area of a circle is pi r squared so you have to find the radius first. To find the radius, find the diameter first. A way to do this which was easiest for me was dividing 37.68 by pi (3.14), which is 12. Divide the diameter by 2 to find the radius, 6.

Now use the equation from the beginning, pi r squared. So plug in pi as 3.14, then the radius as 6. It is important to always square the radius first, which would be 36. Now multiply 36 by 3.14, and there should be your answer.

7 0
3 years ago
A biker travels the 120 mi from New York , NY to Wilmington, DE in 8 hours. A bus, a truck, and a rider on a horse take the same
pickupchik [31]

Answer:

First, remember the relation:

Distance = Speed*Time.

We know that the distance is 120mi.

A) For the biker we know that:

Time  = 8hours.

Speed = Distance/Time = 120mi/8h = 15 mi/h.

B) For the bus we know that:

Time = 2 hours.

Speed = Distance/Time = 120mi/2h = 60 mi/h.

C) For the truck we know that:

Time = 2.5 hours.

Speed = Distance/Time = 120mi/2.5h = 48 mi/h.

D) For the rider on a horse we know that:

Time = 18.75 hours.

Speed = Distance/Time = 120mi/18.75h = 6.4 mi/h.

E) The equation for the speed is:

Speed = Distance/Time.

You can see that time is in the denominator, this means that if for a fixed distance, the time increases, then the denominator increases, which would imply that the speed decreases.

Then the speed is inversely proportional to the time when the distance is fixed.

4 0
3 years ago
What is the value of B for the following triangular prism?
damaskus [11]

Step-by-step explanation:

\frac{1}{2} (10)(12) \\  \frac{1}{2} (120) \\ 60 {cm}^{2}

6 0
3 years ago
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