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Murljashka [212]
2 years ago
7

Select the correct answer.

Mathematics
1 answer:
sp2606 [1]2 years ago
6 0

The perimeter of the pentagon with apothem of 5cm is 28.87cm

<h3>How to calculate the perimeter of a pentagon</h3>

The sum of all the external sides of the pentagon is its perimeter.

First we need to calculate the half of one of its sides using the SOH CAH TOA

tan 30 = x/5

x = 5 tan 30

x = 2.89

One of the sides = 2(2.89) = 5.77 cm

Perimeter of th pentagon  = 5(5.77) = 28.87

Hence the perimeter of the pentagon with apothem of 5cm is 28.87cm

Learn more on perimeter of pentagon here: brainly.com/question/11484726

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If the conditional statement, “If today is Friday, then yesterday was Thursday” is true, which other statement must also be true
myrzilka [38]

Answer:

If today is not Thursday, then tomorrow is not Friday.

Step-by-step explanation:

I presume this is the answer off other peoples responses on the same question elsewhere.... next time include the whole question.

4 0
3 years ago
How can you recognize linear change from a graph, an equation, a table, or in a real world situation?
Stolb23 [73]

In linear change, the two variables keep increasing or decreasing at the same speed.

7 0
3 years ago
B is the midpoint of AC and E' is the midpoint of BD. If A(-9,-4), C(-1, 6), and E(-4,-3), find the coordinates of D.
Ipatiy [6.2K]
The coordinates for D are (-4, -7)

First we must locate point B as it is vital to finding the midpoint of BD. To do this, we take the average of the endpoints AC since B is its midpoint. 

x values = -9 + 1 = -8
Then divide by 2 for the average -8/2 = -4

y values = -4 + 6 = 2
Then divide by 2 for the average 2/2 = 1

Therefore B must be (-4, 1)

Now we know the values of E must be the average of B and D. So we can write equations for each coordinate since we know they are averages. 

x - values = (Bx + Dx)/2 = Ex
(-4 + Dx)/2 = -4 ---> multiply both sides by 2
-4 + Dx = -8 ---> add -4 to both sides
Dx = -4

y - values = (By + Dy)/2 = Ey
(1 + Dy)/2 = -3 ---> multiply both sides by 2
1 + Dy = -6 ---> subtract 1 from both side
Dy = -7

So the coordinates for D must be (-4, -7)
5 0
3 years ago
Read 2 more answers
PLEASE HELP THE QUESTION IS BELOW!!
irina [24]

Answer:

Step-by-step explanation:

B=3x-2

C=12x+2

D=B=3x-2 (Vertically opposite angles)

A=?

Now; we know, A+B+C+D=360 deg.

=>A=360-(B+C+D)

  =360-(3x-2+12x+2+3x-2)

  =360-(18x-2) ----[1]

B+C=180 deg. (linear pair)

=> 3x-2+12x+2=180

=> 15x=180

=> x=180/15

   =12 ---[2]

subsitute [2] in [1];

=> A= 360-(18x-2)

   = 360-(18*12-2)

   = 360-(116-2)

   = 360-214

   = 146 deg.

   

So, the correct answer is (D).

Hope the answer is useful.  

8 0
3 years ago
Read 2 more answers
When calculating the effective rate of a loan, which statement or statements must be true if n is greater than 1? I. The length
Fed [463]

When calculating the loan's effective rate, the most accurate statement is that the effective rate will exceed the nominal rate.

<h3>Effective Annual Rate:</h3>

The interest rate for the entire year is known as the effective annual rate (EAR). Interest charges are incurred when a company uses debt or capital leases to fund its operations.

Interest is reported on the income statement, but it can also be generated on an investment or paid on a loan over time due to compounding interest.

It is frequently larger than the marginal rate and is used to compare various financial products with different compounding periods, such as weekly, monthly, and yearly.

The effective yearly interest rate rises over time as the number of compounding periods increases.

Therefore, the correct option is A.

Learn more about the loans here:

brainly.com/question/2405320

8 0
3 years ago
Read 2 more answers
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