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2 years ago

D Given a parallelogram with its sides drawn along isometric grid lines,

Mathematics

1 answer:

iren [92.7K]2 years ago

3 0

For the parallelogram, the two non-congruent spanning triangles is shown in the image attached while one-third the area of the parallelogram is 16.

<h3>What is a parallelogram?</h3>

A parallelogram is known to be a kind of quadrilateral angle that is said to be made up of its opposite sides been parallel and equal to one another.

Note that:

If you count the triangles inside the shaded portion is = 8

The triangles per parallelogram the shaded portion is = is 4 per sides

Therefore, to get the total numbers of triangles:

4 x 8 = 48

Since the parallelogram that has one-third the area of the parallelogram is 48.

Then 48 x 1/3 = 16.

Therefore, For the parallelogram, the two non-congruent spanning triangles is shown in the image attached while one-third the area of the parallelogram is 16.

Learn more about parallelogram from

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a silkworm winds its cocoon out of one long silk fiber. to make silk thread, 3 to 10 of these silk fibers are unwound from their

Scorpion4ik [409]

Answer:

Possible lengths of the silk fibre 'x' are 100, 75, 60, 50 and 30 yards respectively.

Step-by-step explanation:

Let the length of the silk fiber = x yards.

Let the number of silk fibres = a.

It is given that the silk fibers between 3 to 10 yards are combined to form a silk thread of 300 yards.

So, we get the equation,

$ax=300$ , where $3\leq a\leq 10$

i.e. $x=\frac{300}{a}$ , $3\leq a\leq 10$

So, the possible values of 'a' are 3, 4, 5, 6 an 10.

Thus, the possible lengths of the silk fibre 'x' are 100, 75, 60, 50 and 30 yards respectively.

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3 years ago

Melissa has 350 in her savings account. she decides that she will put the same amount of money each month into her account.Her g

Ray Of Light [21]

C = 350+xm
mc=350+x
m = (350+x)/c

7 0

4 years ago

Slope of points (2,2) and (-2,-2)

nika2105 [10]

SLope = (2 + 2)/(2 + 2) = 4/4 = 1

Answer

8 0

3 years ago

Two factors of -48 have a difference of 19. The factor with a

sdas [7]

Answer:

Step-by-step explanation:

Given number = -48

Listing out the possible factors of -48 in pairs along with their difference:

Factors ( $F_1\times F_2$ ) Difference ( $F1-F2$ ) Difference ( $F_2-F_1$ )

$-2\times 24$ -26 26

$2\times -24$ 26 -26

$-3\times 16$ -19 19

$3\times -16$ 19 -19

$-4\times 12$ -16 16

$4\times -12$ 16 -16

$6\times -8$ -14 14

$12\times -4$ 14 -14

On listing out the factors we find out that two of the pairs have difference = 19

The pairs are $-3, 16$ and $3,-16$

It is given that the factor with greater absolute value is positive. This means 16 would be positive while 3 would be negative.

So, our factors are $-3, 16$

The sum of the factors is = $-3+16=13$ (Answer)

3 0

3 years ago

Read 2 more answers

2. In your own words, explain HOW to find the standard deviation of this data set. (20 points) 3. What does the standard deviati

Ket [755]

Answer:

$\sigma = 11.28$ --- Standard deviation

Step-by-step explanation:

Given

See attachment for graph

Solving (a): Explain how the standard deviation is calculated.

<u>Start by calculating the mean</u>

To do this, we divide the sum of the products of grade and number of students by the total number of students;

i.e.

$\bar x = \frac{\sum fx}{\sum f}$

So, we have:

$\bar x = \frac{50 * 1 + 57 * 2 + 60 * 4 + 65 * 3 +72 *3 + 75 * 12 + 77 * 10 + 81 * 6 + 83 * 6 + 88 * 9 + 90 * 12 + 92 * 12 +95 * 2 + 99 * 4 + 100 * 5}{1 + 2 + 4 + 3 +3 + 12 + 10 + 6 + 6 + 9 + 12 + 12 +2 + 4 + 5}$

$\bar x = \frac{7531}{91}$

$\bar x = 82.76$

Next, calculate the variance using the following formula:

$\sigma^2 = \frac{\sum f(x - \bar x)^2}{\sum f}$

i.e subtract the mean from each dataset; take the squares; add up the squares; then divide the sum by the number of dataset

So, we have:

$\sigma^2 = \frac{1 * (50 - 82.76)^2 +...................+ 5 * (100 - 82.76)^2}{91}$

$\sigma^2 = \frac{11580.6816}{91}$

$\sigma^2 = 127.26$

Lastly, take the square root of the variance to get the standard deviation

$\sigma = \sqrt{\sigma^2}$

$\sigma = \sqrt{127.26}$

$\sigma = 11.28$ --- approximated

<em>Hence, the standard deviation is approximately 11.28</em>

Considering the calculated mean (i.e. 82.76), the standard deviation (i.e. 11.28) is small and this means that the grade of the students are close to the average grade.

8 0

3 years ago