find the area of a regular hexagon with apothem of 17.3 miles long and a side length of 20 miles long.

Answers

Answer 1

Answer:
First, find the area of one of the equilateral triangles that make up the hexagon. The formula for area of a triangle is bh/2, so make the expression (20*17.3)/2, which when simplified is 173. Then multiply that by six (one for each triangle in the hexagon) so you have the final area: 1,038.

Answer 2

Answer: Area equals three time the square root of three all of this divided by 2 times the length of the side squared. So this would be 1039.23mi^2

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Which of the following ratios are equivalent to 6:8?9:12
12 to 16
24:36
16 to 24

Answers

12 to 16 should be the only one.
i looked over ti and 9/12 is also equivalent.
if you multiple by 1.5 that gets you 9/12

The monthly payment for a car lease is $300 for 24 months. The down payment is $1,000. The residual value is $9,000. What is the total cost of the lease? A. 17,200. B. 40,700. C. 8,200

Answers

The total cost of the lease would be $17,200. This is because $300 payment for 24 months is equal to $7,200 + $1,000 (down payment) and + the residual value of $9,000 = $17,200.

The total cost of the lease with a monthly payment of $300 for 24 months and a down payment of $1,000 is C. $8,200.

What is the total cost of a lease?

The total cost of a lease is the sum of the monthly payments and down payment.

The total cost of a lease does not include the residual value of the property.

Data and Calculations:

Monthly payment = $300

Lease period = 24 months

Total monthly payment = $7,200 ($300 x 24)

Down payment = $1,000

Total cost of the lease = $8,200 ($7,200 + $1,000)

Residual value = $9,000

Thus, the total cost of the lease with a monthly payment of $300 for 24 months and a down payment of $1,000 is C. $8,200.

Learn more about lease payments at brainly.com/question/24460932

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The length of a rectangle is five inches less than twice its width. If the rectangle has a perimeter of 80 inches, findthe length and width.

Answers

the length the width the perimeter
50 + 30 = 80

Solve the equation by completing the square. If necessary, round to the nearest hundredth. x² – 18x = 19
1; 19
–1; 19
3; 6
–3; 1

Answers

Answer:

Option B. x = -1, 19

Step-by-step explanation:

The given equation is x² - 18x = 19

We can get the value of x by factorizing the expression or by quadratic formula.

We will try to factorize the equation first. If we find no factors then we will apply quadratic formula to get the value of x.

x² - 18x - 19 = 0

x² - 19x + x - 19 = 0

x(x - 19) + 1(x - 19) = 0

(x - 19)(x + 1) = 0

x = 19, -1 will be the solutions.

So there is no need to apply quadratic formula.

Option B. x = -1, 19 is the answer.

ax^2+bx=c
REMEMBER THIS

ok
first, make sure that a is 1
done

now take 1/2 of b and square it

-18/2=-9, (-9)^2=81
add that to both sides

x²-18x+81=19+81
x²-18x+81=99
factor perfect square
(x-9)²=100
square root both sides
don't forget positive and negative root
x-9=10
x-9=-10
ad 9 to both sides

x=19
x=-1

answer is -1; 19

2nd choice is answer

Determine the monthly payment of a loan for $3,000 at 7.5% interest compounded monthly for 36 months.a.
$93.32
b.
$95.40
c.
$211.33
d.
$253.60

Answers

Answer:

The monthly payment is $93.32 ⇒ answer a

Step-by-step explanation:

* Lets explain how to solve the problem

- The monthly payment is $(P(r))/(1-(1+r)^(-n) )$

where:

# P is the loan amount

# r is the rate per period in decimal

# n is the number of periods

- The loan is $3000

- We need to find the monthly payment

∴ P = $3000

- The compound monthly interest is 7.5% for 36 months

∵ The period is 12 (1 year = 12 months)

- Divide the rate as a decimal by 12

∴ $r=(7.5)/(100(12))=0.00625$

∴ r = 0.00625

∴ n = 36

* Lets calculate the monthly payment using the rule above

∵ Monthly payment = $((3000)(0.00625))/(1-(1+0.00625)^(-36))=93.32$

∴ The monthly payment is $93.32

Answer:

$93.32

Step-by-step explanation:

A shape is made of 12 right triangles of equal size. Each right triangle has a base of 4 cm and a height of 5 cm. What is the total area, in square centimeters, of the shape?