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Vanyuwa [196]
3 years ago
15

(ASAP LOTS OF POINTS)

Mathematics
1 answer:
shusha [124]3 years ago
5 0

Answer:

52 inches by 29 inches

Step-by-step explanation:

Let one side by 16x   and the other side be 9x

We know the diameter is 60 inches

Using the Pythagorean theorem

a^2 + b^2 = c^2

(16x) ^2 + ( 9x) ^2 = 60 ^2

256 x^2 + 81x^2 = 3600

Combine like terms

337 x^2 = 3600

Divide each side by 337

337x^2 /337 = 3600/337

x^2 =10.68249258

Take the square root of each side

sqrt(x^2) =sqrt(10.68249258)

x =3.268408264

The sides are 16x by 9x

16*(3.268408264) =52.29453223  or 52

9 *(3.268408264)= 29.41567438 or 29

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HURRICANES A category 3 hurricane reaches speeds up to 20.88 kilometers per hour. The distance from Cuba to Key West is 145 kilo
White raven [17]
Let us assume that the time taken by the category 3 hurricane to travel from Cuba to Key West = X minutes
Speed of the category 3 hurricane is given as 20.88 km/hr
So the category 3 hurricane can travel 20.88 km in 1 hour.
The distance between Cuba and Key West = 145 km
Then
20.88 km is travelled by the category 3 hurricane in = 60 minutes
145 km from Cuba to Key west is travelled by the category 3 hurricane in = X minutes
So,
X = [(145 * 60)/20.88] minutes
   = 416.66 minutes
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Time taken by the category 3 hurricane to reach Key West from Cuba is 17 hours and 36 minutes.
8 0
3 years ago
Does someone mind helping me with this question? Thank you!
Soloha48 [4]

Answer: 640

Step-by-step explanation:

The scale factor is 20/5=4, so the ratio of the areas is the square of this, or 16.

Thus, the area of ABCD is 40(16)=640.

4 0
2 years ago
What is an equation of the parabola with vertex at the origin and focus (0, 0.75)?
morpeh [17]

Answer:

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Step-by-step explanation:

Notice that the focus is a points on the vertical axis, that means the parabolla opens vertically, and has the form

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Therefore, the equation of a parabolla with vertex at the origin and focus at (0, 0.75) is x^{2} =3y.

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3 years ago
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Step-by-step explanation:

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3 years ago
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