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forsale [732]
3 years ago
5

(a) Find the perimeter of the shape below. (Take π =22/7)3cm3cm12cm20cm​

Mathematics
1 answer:
MariettaO [177]3 years ago
3 0
Try 20cm








it’s correct
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A supervisor finds the mean number of miles that the employees in a department live from work. Which mileage is within a z-score
Vikentia [17]
The z-score tells you how many standard deviations from the mean. 

<span>1.5 * 3.6 = 5.4 miles </span>

<span>So anything within 5.4 miles of the average (29). </span>

<span>The range would be: </span>
<span>29 - 5.4 = 23.6 </span>
<span>to: </span>
<span>29 + 5.4 = 34.4 </span>

<span>23.6 ≤ x ≤ 34.4 </span>

<span>Answer: </span>
<span>B) 24 miles</span>
7 0
3 years ago
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Patrick went cycling one weekend.
Margarita [4]
For this question, it would be most effective to use an algebraic expression to more easily show what the question is asking. If we use the variable "k" to show the distance in km that he cycled on Sunday, we know that the amount he cycled on Saturday equals k + 12, and the amount that he cycled on the weekend should be the amount of Saturday plus the amount of Sunday. If we write this as an equation we say:
k + k + 12 = 38
=> 2k + 12 = 38
Now we can just rearrange and solve for k:
=> 2k = 26
=> k = 26/2 = 13
Therefore Patrick cycled 13km on Sunday
To solve the answer, we just add 12km to the value for Sunday like so:
12 + 13 = the amount he cycled on Sunday
Hope this helped, remember to please try and understand the maths as well as the answer :))
8 0
3 years ago
What is the LCD of 4, 5, and 6
Ahat [919]
Solutions 

<span>To solve the problem our first step is to find the prime factorization of each number. </span>

4 = 2² 
<span>5 = 5 </span>
<span>6 = 2 x 3 
</span>
Calculations 

<span>LCM = 2² x 3 x 5 = 60 </span>
6 0
3 years ago
The area of a regular octagon is 35 cm 2 what is the area of a regular octagon with sides three times as large
Maurinko [17]
The area of a polygon = n*side^2 / (4 * tan(180/n))
where "n" is the number of sides

Let's calculate area for side = 2
area = 8*2^2 / (4 * tan(180/8))
area = 32 / (4 * tan(22.5))
area = 32 / 4*0.41421
<span> <span> <span> area = 19.3138746047 </span> </span> </span>

Now, let's calculate area for side = 6
area = 8*6^2 / (4 * tan(180/8))
area = 288 / <span> <span> <span> 1.65684 </span> </span> </span>
area = <span> <span> <span> 173.824871442 </span> </span> </span>

<span> <span> 173.824871442 </span> / </span><span><span>19.3138746047 = </span> 9

So, the area would be 9 times larger.

ALSO, looking at the formula
</span>n*side^2 / (4 * tan(180/n))
we can see that the side length appears just once in the formula and we are to square it in the calculation.  So, if we increase the side length is increased by 3, then the area increases by 3^2 or 9.


5 0
3 years ago
Estefani‘s house is at point E (3,-2) and Jasmin’s house is at point J (-5,3). Jasmin’s house is the Mid-point of Estefani’s hou
iren [92.7K]

The formula for midpoint is

(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2})

Look at the image below to see the line segment of Estefani's (A), Jasmin's (M), and Preston's (B) houses. Keep in mind that the segment shown below is not accurate in regards to how the line segment formed by Estefani's, Jasmin's, and Preston's houses. It is simply there so you can picture the segment better.

In this case:

x_{1} =3\\x_{2} =unknown\\y_{1} =-2\\y_{2} =unknown

^^^Plug in these number into the formula given above...

(\frac{3+x}{2}, \frac{-2 + y}{2})

To find what x is (a coordinate of Preston's house) you must take the x-value part of the midpoint equation (\frac{3+x}{2}) and set it equal to the x-value of the midpoint (-5). Then you must solve for x:

\frac{3+x}{2} = -5

3 + x = -5 * 2

3 + x = -10

x = -10 - 3

x = -13

To find what y is (a coordinate of Preston's house) you must take the  y-value part of the midpoint equation(\frac{-2 + y}{2}) and set it equal to the y-value of the midpoint (3). Then you must solve for y:

\frac{-2 + y}{2} = 3

-2 + y = 3 * 2

-2 + y = 6

y = 6 + 2

y = 8

The coordinate of Preston's house is:

(-13, 8)

Hope this helped!

~Just a girl in love with Shawn Mendes

7 0
3 years ago
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