What radius of a circle is required to inscribe a regular hexagon with an area of 210.44 cm2 and an apothem of 7.794 cm
Answers
[area of a regular hexagon]=6*[area of one equilateral triangle]
210.44=6*[area of one equilateral triangle]
[area of one equilateral triangle]=210.44/6-----> 35.07 cm²
[area of one equilateral triangle]=b*h/2
h=7.794 cm
b=2*area/h------> b=2*35.07/7.794------>b= 9 cm
the length side of a regular hexagon is 9 cm
applying the Pythagorean theorem
r²=h²+(b/2)²------>r²=7.794²+(4.5)²------> r²=81--------> r=9 cm
this last step was not necessary because the radius is equal to the hexagon side------> (remember the equilateral triangles)
the answer is
the radius is 9 cm
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I need to know plz help
Pls help, it’s not 6
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5
cups of tomatoes to make each batch of pasta sauce. If
t
represents the number of cups of sauce, which equation models this situation?
Answers
..........(dots are to fill in the spots)
t=4.5s, where s is the number of batches
hope this helps :)
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4 weeks
So you do 7 days x 4 weeks and get 28 days
She will have to wait 28 days until her vacation
Hope I helped :)
Answers
so, let's say the length is "L".
width = 2 shorter than L = L - 2.
height = 9 more than twice L = 2L + 9.
check the picture below.
keeping in mind that the volume of a rectangular prism is simply the product of its length, width and height, and since we know the volume has to be 45.
from those 3 factors, we get those solutions/zeros.
we can't use -5/2, or -3, because the length can't be a negative value, so L = 3.
that means the width = 3 + 2, and the height = 2(3) +9.
Answers
In a math book we use blank ink with white pages. Thus, it is a math test.
Given information:
Black and white and has lots of problems.
As per given in question, A test is prepared to check the knowledge obtained by a person during the study time. It was performed before the test presentation. Well, a math book can have black ink with white pages but also a math test can have black and white combination.
It is said to be full of problems because it is made to solve exercises on different topics. And it is said to be black and white because normally the sheets are white and the ink is black.
Therefore, it is a math test.
Learn more about math test here:brainly.com/question/14124586
Answer:
The answer is: A math test
Step-by-step explanation:
A test is designed to assess the knowledge obtained by a person during the study time that was performed before the test presentation.
It is said to be full of problems because it is made to solve exercises on different topics.
And it is said to be black and white because normally the sheets are white and the ink is black.
Answers
243•x=729
243x=729
729/243=3
x=3
5-3=2
the beef was two dollars more than the turkey per pound
Answers
Answer: length = 11cm , width = 5cm
Step-by-step explanation:
The formula for calculating the perimeter of a rectangle is given by :
P = 2 ( L + w )
The length is 1 cm more than twice the width implies:
L = 1 + 2w
substituting into the formula , we have
32 = 2 ( 1 + 2w + w )
32 = 2 ( 1 + 3w)
32 = 2 + 6w
32 - 2 = 6w
30 = 6w
Therefore :
w = 5
then
L = 1 + 2w
L = 1 + 2 ( 5 )
L = 1 + 10
L = 11
Therefore , the length is 11 cm and the width is 5cm