A park in a subdivision is triangular shaped. Two adjacent sides of the park are 573 feet and 536 feet. The angle between the sides is 58°. To the nearest unit, find the area of the park in square yards.

Answers

Answer 1

Answer: As our answers are in yards first convert from given dimensions in ft
573 / 3 = 191 yd
536 / 3 = 178.67 yd

If we draw a parallelogram with horizontal sides 191 yards long and diagonal sides 178.67 yards long at 58 degrees from horizontal, the area of the unknown triangle will be exactly half the the area of the parallelogram. The area of the parallelogram is the base length multiplied by the distance between the horizontal lines or in this case h = 178.67sin58
A = ½bh
A = ½(191)178.67sin58
A = 14470 sq yds

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Which expression is equivalent to (7x - 5 ) - ( 3x - 2)?

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$(7x - 5 ) - ( 3x - 2)$

$7x-5-3x+2$

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$4x-5+2$

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Distribute the minus sign into the second parenthesis to get 7x-5-3x+2.
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Change 1/4 to a decimal, then a percent.

Answers

Changing to decimal
1 / 4 = 0.25

Changing to percent, it should be multiplied with 100
0.25*100
25 percent

We can write a fraction as a decimal by dividing the denominator of the fraction into the numerator of the fraction.

Image provided.

To write a decimal as a percent, we can multiply by 100 which moves the decimal point two places to the right.

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Find the volume of the square based pyramid.

Answers

A = 1/3 * s^2 * h where s is a side of the base and h is the height.

Finding the height of the pyramid:

$\left((6)/(2) \right )^(\!\!2)+h^(2)=8^(2)\n \n \n 3^(2)+h^(2)=8^(2)\n \n h^(2)=8^(2)-3^(2)\n \n h^(2)=64-9\n \n h^(2)=55\n \n h=√(55)\mathrm{~m}$

Finding the base area:

$S=6^(2)\n \n S=36\mathrm{~m^(2)}$

Formula for the volume of the pyramid:

$V=(S\cdot h)/(3)\n \n \n V=(36\cdot √(55))/(3)\n \n \n V=(\diagup\!\!\!\! 3\cdot 12\cdot √(55))/(\diagup\!\!\!\! 3)\n \n \n \boxed{\begin{array}{c} V=12√(55)\mathrm{~m^(3)} \end{array}}$

Please help me out I need help putting the numbers in the right place.

Answers

Answer:

3754

Step-by-step explanation:

A high school student volunteers to present a report to the administration about the types of lunches students prefer. He surveys members of his class and records their choices. What type of sampling did the student use? systematic random sampling voluntary sampling convenience sampling stratified sampling

Answers

The student use convenience sampling.

This is convenience sampling because in this type of sampling we use closer part of the population. Here the person is surveying his classmates, the closest samples available. In this type of sampling, it is easy to gather samples because every members are of their class easily available to give the survey.

Hence this type of sampling called convenience sampling.

For more details on convenience sampling follow the link:

brainly.com/question/1413932

Answer:

The correct answer is - convenience sampling

Step-by-step explanation:

This is convenience sampling because in this type of sampling we use closer part of the population. Here the person is surveying his classmates, the closest samples available. In this type of sampling, it is easy to gather samples.

suzanne wants to put a fence around her square garden. if the garden covers an area of 100 ft, how many feet of fencing does she need?

Answers

She needs 40 feet of fencing. Hope it helps! :)

Answer:

40 ft

Step-by-step explanation:

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