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grigory [225]
2 years ago
9

PLEASE ANSWER 54 POINTS!

Mathematics
2 answers:
IrinaVladis [17]2 years ago
7 0
(8x10)x(10x10)=100ft x 80ft
Gnom [1K]2 years ago
3 0
I believe the total dimensions will be 1135.
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Given klmn is a trapezoid, kl = mn, m<1 = m<2, lm/kn = 8/9, pklmn = 132. Find: the length of the legs
Ilia_Sergeevich [38]

Answer:

The length of legs lm, mn, and lk is 32 while that of kn is 36.

Step-by-step explanation:

The diagram is attached in the answer.

As both the angles are equal thus the two forms isosceles triangles. This is true because the converse of base angle theorem is applicable here. The theorem clearly states that when a trapezoid is divided by the diagonal, it forms two set of angles where m<1=m<2 and m<lmk=m<nmk

This leads the two set of legs such as

\dfrac{lm}{kn}=\dfrac{8}{9}

Or this could be written as

lm=8x\\kn=9x

Now the remaining two sides are given as

lk=lm as this form an isosceles triangle so

lk=8x

Similarly

mn=lm\\

Or

mn=8x

Now the perimeter is given as

\text{perimeter}=lm+mn+kn+lk\\

Here perimeter is given as 132 so this gives:

\text{perimeter}=lm+mn+kn+lk\\132=8x+8x+8x+9x\\132=33x\\x=\dfrac{132}{33}\\x=4

So the four legs are of length as given below:

lm=8x=8\times 4=32\\mn=8x=8\times 4=32\\lk=8x=8\times 4=32\\kn=9x=9\times4=36

So the length of legs lm, mn, and lk is 32 while that of kn is 36.

6 0
2 years ago
$1000 invested with compound interest at a rate of 15% per year for 9 years.
ivolga24 [154]

Answer:

The Final Investment Value is \$3,517.88  

Step-by-step explanation:

we know that

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=9\ years\\ P=\$1,000\\ r=0.15\\n=1  

substitute in the formula above  

A=1,000(1+\frac{0.15}{1})^{1*9}  

A=\$3,517.88  

5 0
3 years ago
Describe a situation that is defined by the linear equation P = 40 + 22t.
sashaice [31]

The situation that is defined by the linear equation P = 40 + 22t is "The initial amount is 40 and the rate of change is 22".

<h3>What is a linear equation?</h3>

Given:

P = 40 + 22t

where,

  • P = total price
  • 40 = initial amount
  • 22 = rate of change
  • t = number of rate of change

So,

if t = 3

P = 40 + 22t

= 40 + 22(3)

= 40 + 66

P = 106

Therefore, the initial amount is 40 and the rate of change is 22 describes the linear equation P = 40 + 22t

Learn more about linear equation:

brainly.com/question/14323743

4 0
2 years ago
Work out the answers to:<br>a) 7 + (-4)<br>b) (-6) + (-3)<br>c) 2 -(-6)<br>d) (-8) - (-13)​
frosja888 [35]

Answer:

a) 7 + (-4) = 3

b) (-6) + (-3) = -9

c) 2 -(-6) = 8

d) (-8) - (-13) = 5

Step-by-step explanation:

a) 7 + (-4)

= 7 + (-4)

= 3

b) (-6) + (-3)

= -6 - 3

= -9

c) 2 - (-6)

= 2 + 6

= 8

d) (-8) - (-13)

= -8 + 13

= 5

8 0
2 years ago
The expression (-4)(-1)(3)(-2) is equal to _____.<br><br> -24<br> -10<br> 10<br> 24
musickatia [10]

The answer is -24.

-4 x -1 = 4

4 x 3 = 12

12 * -2 = -24

8 0
2 years ago
Read 2 more answers
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