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attashe74 [19]
3 years ago
6

Area of a regular hexagon with a side measuring 1 inch?

Mathematics
1 answer:
Debora [2.8K]3 years ago
8 0
A hexagon is made of 6 triangles. Calculate the area of 1 equilateral triangle with side length of 1 inch, then multiply that area by 6.
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Mixed number eqivalent to 51/5
mafiozo [28]
51/5 is equivalent to 10 and 1/5.

6 0
4 years ago
Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t
Tresset [83]

Answer: The volume of largest rectangular box is 4.5 units.

Step-by-step explanation:

Since we have given that

Volume = xyz

with subject to x+2y+3z=9

So, let z=\dfrac{9-x-2y}{3}

So, Volume becomes,

V=xyz\\\\V=xy(\dfrac{9-x-2y}{3})\\\\V=\dfrac{9xy-x^2y-2xy^2}{3}

Partially derivative wrt x and y we get that

9-2x-2y=0\implies 2x+2y=9\\\\and\\\\9-x-4y=0\implies x+4y=9

By solving these two equations, we get that

x=3,y=\dfrac{3}{2}

So, z=\dfrac{9-x-2y}{3}=\dfrac{9-3-3}{3}=\dfrac{3}{3}=1

So, Volume of largest rectangular box would be

xyz=3\times \dfrac{3}{2}\times 1=\dfrac{9}{2}=4.5

Hence, the volume of largest rectangular box is 4.5 units.

4 0
4 years ago
A regression by a sample of 10 observations gives: Score=49.5+1.96 Study Hours. The sample mean of study hour is 10.5 and sum of
amm1812

Answer:

0.1463

Step-by-step explanation:

Number of observations = 10

Sample mean = 10.5

Sum of standard deviation = 264.5

X = 14

We are to calculate The leverage statistic for study hour 14 using the data above

= 1/10 + (14-10.5)²/264.5

= 1/10 + 3.5²/264.5

= 0.1 +12.25/264.5

= 0.1+0.04631

= 0.1463 is the leverage statistic for the study

4 0
3 years ago
Which answer is correct
andre [41]

Hello from MrBillDoesMath!

Answer:

The first choice,  Pi + (-Pi) = 0

Discussion:

Pi is an irrational number. Saying the irrational numbers <u>are</u> closed under addition means if we add two irrational numbers we will get another irrational number. In our case, Pi + (-Pi) = 0, which is correct, BUT 0 is a <u>rational </u>number. This shows the set of irrational numbers is NOT closed under addition.

Thank you,

MrB

7 0
4 years ago
Kevin weighs himself and discovers he weighs 78,900 grams. How many kilograms does Kevin weigh?
faltersainse [42]

Answer:

He would weigh 78.9 kilograms. hope this helps.

3 0
3 years ago
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