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Svetradugi [14.3K]
2 years ago
10

the perimeter of a rectangle is 68ft the ratio of the length to the width iss 9:8 what are the dimensions of the rectangle

Mathematics
1 answer:
NikAS [45]2 years ago
4 0

Answer:


Step-by-step explanation:

2 * L + 2 * W = 68  

2*L = 2* 9x = 9x + 9x  

2*W = 2*8x = 8x + 8x  

Since the perimeter is 68  

9x + 9x + 8x + 8x = 68

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To approach the runway, a pilot of a small plane must begin a 10° 10 ° descent starting from a height of 1983 feet above the gro
Lubov Fominskaja [6]

Answer:

2.2 miles.

Step-by-step explanation:

Please find the attachment.

Let x be the distance between runway and the airplane, where plane start the approach.

We have been given that to approach the runway, a pilot of a small plane must begin a 10° descent starting from a height of 1983 feet above the ground.

We can see from our attachment that angle DAC is equal to angle BCA (by alternate interior angles).

Side length AB is opposite side and x is hypotenuse for our given angle. Since Sine represents the relation between the hypotenuse and opposite of right triangle, so we will use sine to find the length of x.

\text{Sin}=\frac{\text{Opposite}}{\text{hypotenuse}}

\text{Sin}(10^o)=\frac{1983}{x}

x=\frac{1983}{\text{Sin}(10^o)}

x=\frac{1983}{0.173648177667}

x=11419.6418680692448271

Since length of x is in feet, let us convert our answer into miles.

1 mile = 5280 feet.

Let us divide length of x by 5280 to get our answer in miles.

11419.6418680692448271\text{ Feet}=\frac{11419.6418680692448271\text{ feet}}{\frac{5280\text{ feet}}{\text{miles}}}

11419.6418680692448271\text{ Feet}=\frac{11419.6418680692448271\text{ feet}}{5280}\times \frac{\text{ miles}}{\text{ feet}}

11419.6418680692448271\text{ Feet}=\frac{11419.6418680692448271}{5280}\times \text{ miles}

11419.6418680692448271\text{ Feet}=2.162810959\text{ miles}\approx 2.2\text{ miles}

Therefore, the distance between the runway and the airplane where it start this approach is 2.2 miles.

5 0
3 years ago
What is the solution to this inequality?
Reptile [31]

Answer:

D

Step-by-step explanation:

Multiply both sides by 12 to get x+36<_84.

Then move the constant to the right to get x by itself: x<_84-36

Subtract 36 from 84 to get 48.

Now you're left with x<_48

btw <_ is less than or greater than i just don't know how to place the sign on top of the underscore :/ hope this helped :)

4 0
2 years ago
(5ab - 10b^2 + 15bc) ÷ 5b
Brilliant_brown [7]

Answer:

Final answer: a-2b+3c

Step-by-step explanation:

5ab/5b= a

-10b^2/5b= -2b

15bc/5b= 3c  

7 0
2 years ago
Read 2 more answers
Answers anyone ??? Helppp
vladimir2022 [97]

Answer:

SAA

Step-by-step explanation:

we know two pairs of congruent angles and one pair of congruent sides

the order depends on if the side or angle is between the two sides or angles or if it is outside them

in this case the side is outside of the two angles so its SAA

3 0
3 years ago
An artist is creating a large conical sculpture for a park. The cone has a height of 16 m of and a diameter of 25 m. Find the vo
alexdok [17]

Answer:

The answer is B.

Step-by-step explanation:

A=3.14 x 12.5>2

A= 3.14 x 156.25 =490-.625

A= 490.625 x 16m

A= 7, 850 m3

7 0
3 years ago
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