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DIA [1.3K]
3 years ago
8

Each side of the regular hexagon below measures 8 cm. What is the area of the hexagon?

Mathematics
2 answers:
BaLLatris [955]3 years ago
4 0

Answer:

48cm2

Step-by-step explanation:

a hexagon has six sides so we multiply 8×6=48cm2

GarryVolchara [31]3 years ago
3 0

Answer:

A. 96sqr3 square centimeters on edgen.

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Use the quadractic formula
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3 years ago
Shari buys a house for $240,000. She makes a down payment of 20% and finances the rest with a 15 year mortgage. She agrees to ma
Vedmedyk [2.9K]

Answer:

$1166.08 is the monthly payment for the mortgage per month.

Step-by-step explanation:

The meaning of this stated formula on the statement is the present annuity formula because we will have future monthly payments on the mortgage of the house in which they pay off the present value of the house which is $240000 x 80% = $ 192000 as this amount will excludes the down payment of 20% that is made.

We are given Pv the present value which excludes the down payment  $192000.

We have the interest rate i which is 1.2%/12 as it is compounded monthly.

n is the number of payments made over a period which is 12 x 15 years= 180 payments as it is compounded monthly.

no we substitute the above mentioned information to the present value annuity formula stated to calculate R the monthly payment:

Pv = R[(1-(1+i)^-n)/i]

$192000 = R[(1-(1+(1.2%/12))^-180)/ (1.2%/12)] divide both sides by the coefficient of R

$192000/[(1-(1+(1.2%/12))^-180)/(1.2%/12)] = R

$1166.08 =R which this is the amount that will be paid for the mortgage every month for 15 years.

5 0
3 years ago
A train leaves Little​ Rock, Arkansas, and travels north at 60 kilometers per hour. Another train leaves at the same time and tr
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Answer:

Step-by-step explanation:

5 0
2 years ago
Avani wrote the linear equation y = 5 x + 4. Then, she wrote the equation of the line that is perpendicular to y = 5 x + 4 and t
Margarita [4]

Avani wrote the linear equation y = 5x + 4. Then, she wrote the equation of the line that is perpendicular to y = 5x+ 4 and that passes through (15,–2). If her new equation is in the form  y-\frac{1}{5}x+b, what is the value of b?

\bf y=mx+b

  • m is the slope
  • b is the y-intercept

The equation of a line that is perpendicular to another line always has the opposite reciprocal slope. In the original equation, the slope is 5. The opposite of 5, which refers to the sign, is -5. The reciprocal of -5 is -1/5. That means the slope of the new line is -1/5.

The perpendicular line:

  • Has a slope of -\frac{1}{5}
  • Passes through the point (15, -2)

To find the equation of a line that passes through a specific point, you need to use slope-intercept form.

\bf y-y_{1} =m(x-x_{1})

  • y₁ is the y-value of the point
  • m is the slope
  • x₁ is the x-value of the point

y₁ is -2, m is -1/5,  and x₁ is 15.

Substitute the known values into the equation:

y-(-2)=-\frac{1}{5}(x-15) \rightarrow y+2= -\frac{1}{5}(x-15)

Open the parentheses and distribute:

-\frac{1}{5}(x-15) \rightarrow -\frac{1}{5} \cdot x\ +  -\frac{1}{5} \cdot -15 \rightarrow -\frac{1}{5}x +3

The new equation will be:

y+2=-\frac{1}{5}x+3

Lastly, you need to move the positive 2 to the other side to keep it in y = mx + b form.

y+2-2=-\frac{1}{5}x+3-2 \rightarrow y=-\frac{1}{5}x+1

The equation of the perpendicular line is:

\bf y=-\frac{1}{5}x+1

The value of b is 1.

5 0
3 years ago
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