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densk [106]
3 years ago
14

the longest runway at an airport has the shape of a rectangle with an area of 2181600sqft. this runway is 180 ft wide. how long

is the runway

Mathematics
1 answer:
Bumek [7]3 years ago
5 0
Check the picture below.

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Helllllppp please asap
BartSMP [9]

Answer:

1). a = 9.42 m

2). b = 6.37 m

3). c = 4.48 m

Step-by-step explanation:

In the figure attached,

By applying tangent rule in triangle ADE,

tan47 = \frac{h}{c}

c = \frac{h}{\text{tan}47}

c = \frac{4.8}{\text{tan}47}

c = 4.476

c ≈ 4.48 m

Now we apply the same rule in triangle ACE,

tan37° = \frac{h}{b}

b = \frac{h}{\text{tan}37}

b = \frac{4.8}{1.0724}

b = 6.37 m

Now apply the tangent in triangle ABE,

tan27° = \frac{h}{a}

a = \frac{h}{\text{tan}27}

a = \frac{4.8}{0.5095}

a = 9.42 m

5 0
3 years ago
The sum of two numbers is six, and the difference is 10. Find the numbers.
pashok25 [27]
First no. = x 
Second no. = y

Equation Formation
x + y = 6..........equation(i)
x - y = 10...........equation (ii)


x = 6 - y
6 - y - y = 10
6 - 2 y = 10
-2 y = 10 -6
-2 y = 4
   y = -2

x = 6 + 2
x = 8

Answer = 8 , -2 

3 0
3 years ago
Help Pls if you want!!!!
Tom [10]

Answer:

Its 2.5 percent ladd enjoy

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Luigi is an urban planner. As an independent contractor, he charges a $140 fee plus $25 per hour for each contract with the city
IrinaK [193]
25x+140=y. 25(10)+140=390.
5 0
4 years ago
Read 2 more answers
A total of $12,000 is invested in two corporate bonds that pay 7.5% and 9% simple interest. The invest wants an annual interest
nlexa [21]

Answer:

$13,200

Step-by-step explanation:

You need to use the simple interest formula

I = P * r * t

I = Interest accrued

P = Principal amount invested

r = Interest rate          you need to divide by 100 to get it in decimal form

t = time, in years        if you are given a partial year, divide the months by 12

P = $12,000                                    

r = 7.5% = .075                                    

t = 1                                                  

But, because we want I to equal $990 then I is

I = $990

So we ignore our P and instead solve for the P that will give us the desired result.

I = P * r * t

$990 = P * .075 * 1

$990 = P.075        Divide each side by .075

$990/.075 = P.075/.075

$990/.075 = P

$13,200 = P

So, to earn an annual interest income of $990, $13,200 will have to be invested in the 7.5% bond.

6 0
3 years ago
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