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Marta_Voda [28]
2 years ago
15

You need to order carpet for a room that has a length that is twice its width. if the area of the room is 450, find the width of

the room.
Mathematics
1 answer:
nlexa [21]2 years ago
6 0
The answer will be the number 256

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An airplane pilot can see the top of a traffic control tower at a 20 degree angle of depression. the airplane is 5,000 feet away
daser333 [38]

The given question describes a right triangle with with one of the angles as 20 degrees and the side adjacent to the angle 20 degrees is of length 5,000 feet. We are looking for the length of the side opposite the angle 20 degrees.

Let the required length be x, then

\tan{20^o}=\cfrac{opp}{hyp}=\cfrac{x}{5,000}\\ \\ \Rightarrow x=5,000\tan{20^o}=1,819.85

Therefore, the height of the airplane above the tower is 1,819.85 feet.

8 0
3 years ago
Read 2 more answers
In figure find the area of the red part.​
larisa [96]

Step-by-step explanation:

Given : A rectangle 4 x 8 , a semicircle

Diagonal intersecting semicircle  

To Find :Area of red part

<h3>Solution:</h3>

Angle AC make AB   α = ∠BAC

tan α = BC/AB = 4/8 = 1/2

=> α = 26.565°

∠ECA = ∠BAC = α

EC = EF = 4

=> ∠CEF = 180° - 2α

∠AED = 45°  as   AE is  diagonal of Square of side  4

=> ∠AEF  + 180° - 2α + 45° = 180°

=>  ∠AEF =  2α - 45°  = 8.13°

in Left side area  between square  and circle is split in 2 Equal parts

(1/2) area - area AFG = area of Red part

in Left side area  between square  and circle  = 4² - (1/4)π4²

= 3.4336 sq unit

half  =  1.7168 sq unit  

Now find area AFG = area ΔAEF - sector EGF

area ΔAEF  

AE = 4√2  , EF = 4    angle = 8.13°

area ΔAEF   = (1/2) 4√2 * 4 sin 8.13° = 1.6 sq unit

area  sector EGF  = (8.13/360)π4² = 1.135  sq unit

area AFG  = 1.6 - 1.135  = 0.465 sq unit

Area of Red part = 1.7168 - 0.465 sq unit

= 1.2518 sq unit

= 1.252  sq unit

= 1.25 sq unit.

Hope this helps!!

5 0
2 years ago
Read 2 more answers
Bags of sugar come in 3 sizes. Small bag: A 175 g bag costs 45p. Medium bag: A 420 g bag costs £1.13. Large bag: A 1.2 kg bag co
kotegsom [21]

Answer:

a 3.889

b 3.735

c 4.013

Step-by-step explanation:

a. 45p is 0  175/45=3.889

b  420/113= 3.735

c1.2kg= 1200g /299 =4.013

/ means divide

4 0
3 years ago
5. Ms. Peterson earns $18 per hour as a softball team coach and $25 per hour as a math tutor. Last week, she worked
AVprozaik [17]

Answer: 18,20

Step-by-step explanation:

3 0
2 years ago
the coordinates of point t are ​(0,2). the midpoint of st is ​(1,-6) find the coordinates of point s.
sasho [114]

Question

the coordinates of point t are ​(0,2). the midpoint of st is ​(1,-6) find the coordinates of point s.

Answer:

(10,-14)

Step-by-step explanation:

0 + x

---------   = 5            Multiply both sides by 2 ---->   0 + x = 10  or x = 10

   2

2 + y

--------   = -8         Multiply both sides by 2  ---->  2 + y = -16   or y = -14        

   2

Therefore, the coordinates of point S should be at (10,-14)

4 0
3 years ago
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