MATHEMATICS COLLEGE

Which expression represents the perimeter of thetrapezoid?
5x
2x - 1
2x + 3
6x +4
11x + 4
O 4x + 2
15x + 6
13x + 8
Which expression represents the perimeter of the trapezoid? 5x 2x - 1

Answers

Answer 1
Answer:

Final answer:

The correct option is c.

The total length, or perimeter, of the trapezoid is calculated by adding the lengths of its sides. Once we add and simplify the like terms, we find that the expression representing the perimeter of the trapezoid is 15x + 6.

Explanation:

The perimeter of a shape is calculated by adding up the lengths of all its sides. In the case of a trapezoid with sides of length: 5x, 2x - 1, 2x + 3, 6x + 4, the total length, or the perimeter, would be the sum of these four sides.

To calculate the perimeter, we simply add the lengths of the sides: 5x + (2x - 1) + (2x + 3) + (6x + 4).

When we simplify this, we first combine like terms, which are the x's and the constants. Combining the x terms 5x, 2x, 2x, and 6x gives us 15x. Next, we combine the constants -1, 3, and 4 which gives us + 6. Therefore, the expression representing the perimeter of the trapezoid is 15x + 6, that is answer option c.

Learn more about Perimeter of Trapezoid here:

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The complete question is:

Which expression represents the perimeter of the trapezoid whose length of sides are:

5x, 2x - 1, 2x + 3, 6x +4


a. 11x + 4

b. 4x + 2

c. 15x + 6

d. 13x + 8
Answer 2
Answer: Answer: 15x + 6
5x + 2x+3 = 7x+3
6x+4 + 7x+3 = 13x + 7
13x+7 + 2x-1 = 15x+ 6

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At a farm, there are two huge pits for storing hay. 90 tons of hay is stored in the first pit, 75 tons in the second pit. Then, three times as much hay was removed from the first pit as was removed from the second pit. After that, there was half as much hay in the first pit as there was now in the second pit. How many tons of hay was taken from the first pit?

Answers

Answer:

63 tons

Step-by-step explanation:

The problem statement asks for the tons of hay removed from the first pit. It is convenient to let a variable (x) represent that amount. This is said to be 3 times the amount removed from the second pit, so that amount must be x/3.

The amount remaining in the first pit is 90-x.

The amount remaining in the second pit is 75 -x/3.

Since the first pit remaining amount is half the second pit remaining amount, we can write the equation ...

... 90 -x = (1/2)(75 -x/3)

... 180 -2x = 75 -x/3 . . . . multiply by 2

... 105 - 2x = -x/3 . . . . . . subtract 75

... 315 -6x = -x . . . . . . . . multiply by 3

... 315 = 5x . . . . . . . . . . . add 6x

... 63 = x . . . . . . . . . . . . . divide by 5

63 tons of hay were taken from the first pit.

_____

Check

After removing 63 tons from the first pit, there are 27 tons remaining. After removing 63/3 = 21 tons from the second pit, there are 54 tons remaining. 27 is half of 54, so the answer checks OK.

-5 1/2 + 6 3/4 + (-4 1/4)

Answers

Answer:

-5(1)/(2) +6(3)/(4)+(-4(1)/(4))

-3 is the answer

What is the area of this triangle? Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth. in² The figure contains a triangle. One side is 11.1 inches. A second side is 7 inches. The angle between the given sides is 84 degrees.

Answers

The area of a triangle with sides 11.1 inches, 7 inches and 84 degree angle between the given sides is 38.6 in²

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

The area of the triangle is given as:

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where a,b are the sides and ∝ is the angle between the sides, hence:

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The area of a triangle with sides 11.1 inches, 7 inches and 84 degree angle between the given sides is 38.6 in²

Find out more on equation at: brainly.com/question/2972832

Answer:

38.6

Step-by-step explanation:

A battery with 20 percent of its full capacity is connected to a charger. Every minute that passes, an additional 5% , percent of its capacity is charged.

Answers

Answer:

y = 5x + 20

Step-by-step explanation:

The initial percent is 20.

Every minute, the percent goes up 5%, so the slope is 5.

So the equation of the line is y = 5x + 20.

What is an equation of the line that passes through the points (3,4) and (5,8)

Answers

Answer:

i think 5

Step-by-step explanation:

Step-by-step explanation:

In the equation y=mx+b, 'm' is the slope of the line and 'b' is the y-intercept.  

First, you should find the slope of the line.  To do this, use the equation M=y2-y1/x2-x1.  Using the two given points (3,6) and (8,4), you can solve for M.  

M=4-6/8-3

M=-2/5 (-0.4 in decimal form)

Now, your equation is y=-0.4x+b

Next you must solve for b to find the y-intercept.  You can do this by subbing one of the given points in for x and y.  

Using the point (3,6):

y=-0.4x+b

6=-0.4(3)+b

6=-1.2+b

Isolate b:

6+1.2=b

b=7.2

And now you have the equation of the line!

y=-0.4x+7.2 (IN FRACTION FORM: y=-2/5x+36/5)

What is the following quotient? 3sqrt60/3sqrt20

Answers

Answer:

Step-by-step explanation:

3 sqrt 60 / 3 sqrt 20

3 gets cancelled

(sqrt 20 × sqrt 3)/sqrt 20

sqrt 20 gets cancelled

Sqrt 3 is the answer

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