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2 years ago

Find the perimeter of the triangle shown.Simplify your answer.Show all your work.

Mathematics

1 answer:

VashaNatasha [74]2 years ago

7 0

Answer: 12 sqrt(5)

Explanation:
First simplify:
= Sqrt(45)
= sqrt(9*5) sqrt of 9 is 3 so bring out 3
= 3sqrt(5)

= 2sqrt(20)
= 2sqrt(4*5) sqrt of 4 is 2 so bring that out and multiply it by 2
= 4sqrt(5)

= 5 sqrt(5) is already simplified

= 3sqrt(5) + 4 sqrt(5) + 5sqrt(5)
= 12 sqrt(5)

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What is the volume of the box pictured below?

SpyIntel [72]

Answer:

The volume of the box is 3/4 cubic meters.

Step-by-step explanation:

We know that volume = length * width * height. We have length, width, and height already, so all we have to do is multiply.

5/6 * 1 1/8 * 4/5. First we convert 1 1/8 from a mixed fraction, to give us 9/8, as 8/8 = 1.

5/6 * 9/8 * 4/5. 5 * 9 = 45, and 6 * 8 = 48. 45/48 reduces to 15/16.

15/16 * 4/5. 15 * 4 = 60, and 16 * 5 = 80. 60/80 reduces to 6/8, which reduces to 3/4.

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2 years ago

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Bella measured the heights of her corn stalks in centimeters. The heights are 81,88,69,65,87.

AleksAgata [21]

Answer:

78 cm should be the correct answer

Step-by-step explanation:

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2 years ago

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mark purchased a new motorcycle for $23,000. F the value of the motorcycle decreases by 151 each year, what will it be worth in

HACTEHA [7]

151 * 5 = 755
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It'll be worth $22,245 in 5 years.

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3 years ago

A boat costs $19,200 and decreases in value by 12% per year. How much will the

fomenos

Find 10% of $19,200 = 1,920
Find 2% of $1,920 = 384
12% = $2,304
19,200 - 2,304 = 16,896 (year 1)
Repeat this until you have your 5th year :)

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3 years ago

The vertices of a square CDEF are C(1,1), D(3,1), E(3,-1) and F(1,-1). What formulas prove that the diagonals are congruent perp

Oxana [17]

To prove that the diagonals are congruent, you need to formula to compute the distance between two points:

$d(A,B) = \sqrt{(A_x-B_x)^2 + (A_y-B_y)^2}$

Using that formula, you may prove that $d(C,E) = d(D,F)$ , which means that the two diagonals have the same length.

To prove that they are perpendicular, you need the formula to compute the slope of a segment. The slope, knowing the enpoints, is given by

$m = \cfrac{\Delta y}{\Delta x} = \cfrac{A_y-B_y}{A_x-B_x}$

You can use this formula to prove that

$m_{CE} = -\cfrac{1}{m_{DF}}$

In fact, if one slope is the opposite of the reciprocal of the other, the two segments are perpendicular.

Finally, to prove that they bisect each other, you first need to find the point where they meet. First of all, you need to find the line the segments lie on: the formula is

$y-y_0 = m(x-x_0)$

where $(x_0,y_0)$ is one of the points belonging to the line, and you already know how to find the slope. Then, you find the point of intersection, say A, by solving the system involving the two lines:

$\begin{cases} y= m_{CE}x+q_{CE}\\ y = m_{DF}x+q_{DF} \end{cases}$

And use again the formula for the distance between two points to prove that

$d(A,C) = d(A,D) = d(A,E) = d(A,F)$

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2 years ago