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Romashka [77]
3 years ago
8

A sidewalk borders a rectangular play area. The play area measures 20 feet by 14 feet. The width of the sidewalk is 2 feet. What

is the perimeter of the outside border of the sidewalk?
Mathematics
1 answer:
steposvetlana [31]3 years ago
8 0
That is going to be the fromula of 20x14x2
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A plane at an altitude of 7000 ft is flying in the direction of an island . If an angle of depression is 21 ° from the plane to
Nonamiya [84]

The horizontal distance until the plan flies over the island is 2687.05 feet approximately.

<u>Solution:</u>

Given that, A plane at an altitude of 7000 ft is flying in the direction of an island

An angle of depression is 21 degree from the plane to the island

We have to find what is the horizontal distance until the plan flies over the island  

The diagram is attached below

Assume as shown in the diagram , now we can use the right angle triangle property

\tan (21)=\frac{\text {distance between plane and point above island}}{\text {height of plane}}

\tan (21)=\frac{\text {distance between plane and point above island}}{7000}

\text { Distance between plane and point above island }=7000 \times \tan (21)

=7000 \times 0.38386=2687.0482

Hence, the distance between plane and point above island is 2687.05 feet approximately.

3 0
3 years ago
the first and last term arithmetic sequence are 9 and 165 respectively.if the sum of all the terms of the arithmetic sequence is
diamong [38]

Answer:

  • 40 terms

Step-by-step explanation:

<u>Sum of n terms formula:</u>

  • Sn = 1/2n(a1 + an)

<u>Solving for n</u>

  • 3480 = 1/2n(9 + 165)
  • 3480 = 87n
  • n = 3480/87
  • n = 40
3 0
3 years ago
Read 2 more answers
NEED HELP ASAP!!!!!!!!!!!!!!!!
salantis [7]

9514 1404 393

Answer:

  (b) (-5, 1)

  (c) (5, -7)

  (d) (9, -2)

Step-by-step explanation:

The coordinate differences between the given points are ...

  (4, 2) -(0, -3) = (4, 5)

The length of the line segment between the points is √(4² +5²) = √41, so this is the side of the square, not a diagonal.

The other four points that could be corners of the square are these same distances, but at right angles. To get points at right angles, the distance values can be swapped, and one of them negated.

Two of the points could be ...

  (4, 2) ± (5, -4) = (9, -2) or (-1, 6)

and the other two could be ...

  (0, -3) ± (5, -4) = (5, -7) or (-5, 1)

5 0
3 years ago
C)PLEASE MAN PEOPLE ARE USING ME FOR POINTS
UNO [17]

The measures of spread include the range, quartiles and the interquartile range, variance and standard deviation. Let's consider each one by one.

<u>Interquartile Range: </u>

Given the Data -> First Quartile = 2, Third Quartile = 5

Interquartile Range = 5 - 2 = 3

<u>Range:</u> 8 - 1 = 7

<u>Variance: </u>

We start by determining the mean,

\:1+\:2+\:3+\:3+\:3+\:5+\:8 / 7 = 3.57

n = number of numbers in the set

Solving for the sum of squares is a long process, so I will skip over that portion and go right into solving for the variance.

\sum _{i=1}^n\frac{\left(x_i-\bar{x}\right)^2}{n-1},\\\\=> SS/n - 1\\\\=> 31.714/7 - 1\\=> 5.28571

5.3

<u>Standard Deviation</u>

We take the square root of the variance,

\sqrt{5.28571} = 2.29906

2.3

If you are not familiar with variance and standard deviation, just leave it.

3 0
3 years ago
Read 2 more answers
A small box of cereal weighs k grams. A jumbo box of cereal weighs 5 times as much.
mariarad [96]

Answer:

k=m/5

Step-by-step explanation:

explained in the attached pi

3 0
2 years ago
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