Answer:
See attachment for rectangle
Step-by-step explanation:
Given



Required
Draw the rectangle
First, we calculate the distance between A and B using distance formula;

So, we have:





The above represents the length of the triangle.
Next, calculate the width using:


Divide both sides by 2

This implies that, the width of the rectangle is 6 units.
We have:


Since A and B are at the upper left and right, then the ther two points are below.
6 units below each of the above point are:
=> 
=> 
Hence, the points of the rectangle are:




<em>See attachment for rectangle</em>
Answer:
43.2 degrees
Step-by-step explanation:
1. First, find the total number of people who were surveyed.
165+135+60+130+10=500
2. Next, figure out how many the Marine Corps is out of those 500 people.
60/500= 0.12 =12%
3. Last, find out what degree the 12% would take up.
We know that a circle is 360 degrees. To find 12% of 360 degrees, you will do:
0.12*360=43.2
So, the answer is 43.2 degrees
Answer:
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Step-by-step explanation:
Given:
The radius of the base of the given cone = 5 cm
The slant height of the cone = 19 cm
To find the surface area of the given cone.
Formula
The surface area pf the given cone is,
where, r be the radius and
l be the slant height.
Now,
Taking, r = 5, l = 19 and π = 3.14 we get,
sq cm
or, sq cm
or, sq cm
Rounding off to the nearest square centimeter, we get;
Hence,
The surface area of the cone is 377 sq cm.
Answer: Meaghan is right.
Step-by-step explanation:
For a number like:
123.45
the tens place would be the "2" (second number at the left of the decimal point)
The ones place would be the "3" (first number at the left of the decimal point)
Let's suppose that Lily is correct.
Then the quotient of:
43.61/7
Will be a number with two digits in the left of the decimal point.
The smallest number that meets this condition, is the number 10.
Then let's see:
7*10 = 70
then:
70/7 = 10
and:
43.61 < 70
(70 is larger than 43.61)
then:
43.61/7 < 70/7 = 10
Then:
(43.61/7) < 10
This means that our quotient is smaller than 10, then the first digit of the quotient can not be on the tens place.
Then Meaghan is the correct one.
We also could perform the quotient to find:
43.61/7 = 6.23
So yes, Meaghan is correct.