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4 years ago

What is the perimeter of the trapezoid

Mathematics

2 answers:

Elina [12.6K]4 years ago

8 0

The perimeter of a figure is the distance around the figure. To find the perimeter of the trapezoid, we simply add the lengths of the sides.

5 + 4 + 4 + 6 = 19

Therefore, the perimeter of the trapezoid is 19 in.

dimulka [17.4K]4 years ago

3 0

Since perimeter is all of the sides added up..
And we have
side 1 = 4in
side 2 = 4in
side 3 = 5in
side 6 = 6in

Lets just add them all up
4 + 4 + 5 + 6 = 19

So the perimeter of the trapezoid is 19 inches

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igomit [66]

For this case as MNOP is a square then the angles of each vertex are equal to 90 degrees.

Therefore, we have the following equations:

$4t + 20 = 90\\7f + 6 = 90$

From these equations, we can clear the values of the unknowns.

For equation 1 we have:

$4t + 20 = 90\\4t = 90 - 20\\4t = 70$

$t = \frac{70}{4}\\t = 17.5$

For equation 2 we have:

$7f + 6 = 90\\7f = 90 - 6\\7f = 84$

$f = \frac{84}{7}\\f = 12$

Answer:

The values of t and f are given by:

$t = 17.5\\f = 12$

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3 years ago

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5y*3 is the open phrase the student uses to model "the sum of 5y and 3".

"The sum of" means addition. The student put 5y*3, while the sum of 5y and 3 is actually 5y + 3.

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3 years ago

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Which number line represents the solution set for the inequality 3(8-4x) < 6(x - 5)?

STatiana [176]

Answer:

x>3

Step-by-step explanation:

We are given with the inequation 3(8-4x) < 6(x - 5)

Dividing both sides in the above in equation by 3 we get

(8-4x)<2(x-5)

Distributing 2 over (x-5)

(8-4x)<2x-10

8-4x<2x-10

adding 10 and 4x on both hand sides we get

8+10<2x+4x

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3 years ago

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Answer:

Kindly check explanation

Step-by-step explanation:

Given the data :

Website 1 : 10357, 10537, 10767, 10561, 10544, 10581, 10602, 10665, 10335, 10419, 10737, 10410, 10485, 10601, 10458, 10472, 10435, 10375, 10436, 10510, 10345, 10559, 10520, 10425, 10351, 10465, 10491, 10671, 10366, 10440, 10618, 10606, 10406, 10538, 10449, 10462

Mean, xbar = ΣX/ n ; n = sample size = 36

Xbar = 377999 / 36 = 10499.9722

Standard deviation, s = √[(x - xbar)² / (n-1]

Using calculator :

Standard deviation (Website 1 :), s = 110.239865

Website 2 : 11067, 11029, 10888, 10789, 10914, 10663, 10787, 11140, 11042, 11074, 10868, 10853, 10900, 11088, 10991, 10928, 10959, 11126, 11033, 11114, 11150, 11155, 11027, 10900, 11015, 11123, 10953, 11181, 10855, 10731, 10971, 10770, 11070, 11122, 11018, 10903

Mean, xbar = ΣX/ n ; n = sample size = 36

Xbar = 395197 / 36 = 10977.6944

Standard deviation, s = √[(x - xbar)² / (n-1]

Using calculator :

Standard deviation (Website 2), s = 132.617995

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Yes, the viewership between the two websites are different with the second website has a higher mean viewership with a mean of 10977.6944.

3.)

The probability of 12000 views per month on each website :

Probability = Mean viewership per month / required viewership

Website 1 :

P(12000) = 10499.9722 / 12000 = 0.8749

Website 2 :

P(12000) = 10977.6944 / 12000 = 0.9148

4.)

More consistent website :

We use the standard deviation value, the higher the standard deviation, the higher the variability :

Website 1 should be more consistent has it has a Lower standard deviation score, hence, should show lower variability than website 2.

5.)

Website suitable for advertisement should be one with higher viewership per month in other to reach a larger audience. Hence, website 2 should be recommended for advertisement.

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Step-by-step explanation:

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