The perimeter of a scalene triangle is 14.5 cm. The longest side is twice that of the shortest side. Which equation can be used to find the side lengths if the longest side measures 6.2 cm?

Answers

Answer 1
Answer: The answer is:
a = c ÷ 2
b = P - a - c

The perimeter is the sum of all sides of a polygon. The perimeter of the triangle is:
P = a + b + c
where
P - perimeter of the triangle,
a, b, c - sides of the triangle.

It is given: 
P = 14.5 cm
c = 6.2 cm

If, the longest side (c) is twice that of the shortest side (a), then
c = 2a
Therefore, the equation that can be used to find the length of the shortest side is a = c ÷ 2.

⇒ a = c ÷ 2 = 6.2 cm ÷ 2
⇒ a = 3.1 cm

By knowing two sides (c and a) and perimeter (P), we can calculate the length of the third side (b).
If P = a + b + c, then the equation that can be used to find the length of the side b is b = P - a - c.

⇒ b = P - a - c = 14.5 cm - 6.2 cm - 3.1 cm
⇒ b = 5.2 cm
Answer 2
Answer:

Final answer:

The equation to find the side lengths of the triangle is x + 2x + (14.5 - x - 2x) = 14.5, using x to represent the shortest side.

Explanation:

The subject of this question is a scalene triangle. A scalene triangle is a triangle in which all sides have different lengths. In this specific triangle, we are given the perimeter (which is 14.5 cm), and we know that the longest side is twice the length of the shortest side. The longest side's length is given as 6.2 cm.

Let's denote the shortest side as x. If the longest side is twice that length, we can express it as 2x. Now, the remaining side can be found by subtracting x and 2x from the total perimeter: 14.5 - x - 2x. So our equation becomes x + 2x + (14.5 - x - 2x) = 14.5.

Learn more about Finding side lengths of a scalene triangle here:

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Equations: 1)18-7x=4 2)13=19+2x
3) 4t+7=62-t
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Answers

Answer:

in the pic

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)

suppose the equation for line A is given by 2x-5y=15, if line A and B are parallel and the point (-10,3) lies on line B, then write the equation in slope intercept for line b.

Answers

Answer:

y=2/5x + 7

Step-by-step explanation:

First, you have to rewrite 2x-5y=15 to slop intercept form.

To do that you have to first subtract 2x from both side to cancel it out.

2x- 2x-5y= 15 -2x.    

-5y= -2x+15

Next, you divide 5 on both side to leave the y by itself.

y= -2x/-5 + 15/-5

Simplify

y= 2/5x + (-3)                     2/5 is our slope

Now that we found the slope, we need to the y-intercept of line b

y=2/5x + b

To find the y-intercept, we substitue x and y with the coordinates (-10,3)

3= 2/5(-10) +b

Now we just solve for b

3= -4 +b

3-(-4) = b

7=b

Now we have identified that 7 is the y intercept

The full equation is y= 2/5x +7

I hope this helped :)

 

Each histogram represents a set of data with a median of 29.5. Which set of data most likely has a mean that is closest to 29.5?

Answers

Answer: B

Step-by-step explanation:

The mean and median will be close or the same when the graph is symmetrical

Answer: 30

Step-by-step explanation:

Find the coordinates of the midpoint of a segment with the endpoints (16,5) & (28, -13)

Answers

The midpoint can be obtained by taking the averages of the x-coordinate and the y-coordinate. The averages obtained are the new coordinates for the midpoint. This is shown below:

x-coordinate:

X = (16 + 28)/2
X = 22

y-coordinate:

Y = (5 + -13)/2
Y = -4

Therefore, the midpoint has the coordinates M (22 , -4)

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O 240
O 135
O 15
O 9

Answers

Answer:

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What does a Riemann sum represent?

Answers

A Riemann sum approximates the area of a certain region. Usually it's used in calculus, where you use the Riemann sum to approximate the area a curve instead of using an integral to find the exact value, since that tends to take a lot more time and effort.