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swat32
4 years ago
9

Express answer in exact form. Show all work for full credit.

Mathematics
1 answer:
Ipatiy [6.2K]4 years ago
6 0

Answer:

Area = 23.38 square"

Step-by-step explanation:

It is given that a regular hexagon is having a side = 3"

Since hexagon is inscribed in a circle therefore all the triangles formed by the radii and the sides of hexagon will be equilateral triangles.

In a hexagon number of triangles formed = 6

Area of an equilateral triangle = 1/4s²√3

By putting the value of s = 3"

Area of one triangle = 1/4×3²√3 = (9√3)/4

and we know number of triangles formed inside the hexagon = 6

Therefore area of hexagon = 6×(9√3)/4 = 23.38 square"

Answer is 23.38 square"

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Sebastian is going to deposit $790 in an account that earns 6.8% interest compounded annually his wife Yolanda will deposit $815
strojnjashka [21]

Answer:

Step-by-step explanation:

Complete question

A) Sebastian's account will have about $28.67 less than Yolanda's account. B) Sebastian's account will have about $9.78 less than Yolanda's account. C) Yolanda's account will have about $28.67 less than Sebastian's account. D) Yolanda's account will have about $9.78 less than Sebastian's account.

For Sebastian

Amount = P (1 + \frac{r}{n})^{nt}

Substituting the given values we get

A =

790 (1 + \frac{6.8}{100*1})^{3*1} \\962.367

For Yolanda

Amount  = P(1+rt)

A = 815 (1 + \frac{7.2}{100}*3)\\A = 991.04

Yolanda's account will have about $28.67 less than Sebastian's account

Option C is correct

5 0
3 years ago
En un huerto se siembra frijol. Si se pone una planta, produce 3kg de frijol. por cada planta extra que se ponga, todas las plan
Ad libitum [116K]

Answer:

y = -0.07x2 + 3.07x

Step-by-step explanation:

For each plant we add, there is a decrease of 70 grams for all plants from the inicial value of 3 kg of beans.

So, for 2 plants, we have (3 - 0.07) * 2

For 3 plants, we have (3 - 2*0.07) * 3

For x plants, we have (3 - (x-1)*0.07) * x

So we can model the final result of the amount of beans 'y' with the equation:

y = (3 - (x-1)*0.07) * x

y = (3 - 0.07x + 0.07) * x

y = (3.07 - 0.07x) * x

y = -0.07x2 + 3.07x

(In this equation we have a = -0.07, b = 3.07 and c = 0)

7 0
3 years ago
Fill in the missing value in the table:
djyliett [7]
20 and 2 they are coefficientsHHQHABDBR3838
3 0
3 years ago
PLEASE HELP 35 POINTS<br> Two sides of a right triangle measure 777 units and 333 units.
SSSSS [86.1K]

Answer:

58 units squared

Step-by-step explanation:

**I'm doing the question with the 7 by 3 triangle in the picture, not 777 by 333**

Pythagorean Theorem: a^2+b^2=c^2, where c is the length of the hypotenuse.

The given sides are legs, therefore, 3^2+7^2=c^2

9+49=c^2; 58=c^2; c=\sqrt{58}

c is also one of the sides of the square. A square's area is one of the sides' lengths squared, so:

(\sqrt{58}) ^{2}=58

8 0
3 years ago
You are on vacation in New York City, and you need to get around town to different locations. Below are the rates for 2 differen
vampirchik [111]

Answer:

The costs are equal at 3 miles.  It coest $8 for either company

At 8 miles the green cost 13 and the red cost 18.

My advice would be to use the Red compnay if traveling less than 3 miles and the green company is traveling more than 3 miels.  At 3 miles the costs are the same.

Step-by-step explanation:

4 0
2 years ago
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