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WITCHER [35]
3 years ago
5

The lateral areas of two similar cones are 175π and 252π respectively. What is the ratio of their radii?

Mathematics
1 answer:
Anastasy [175]3 years ago
6 0

Answer:

The ratio is 5:6

Step-by-step explanation:

Just divide the lateral areas so 175/252 or 25/36 which simplifies to 5:6

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A truck is 300 miles east of a car and is traveling west at the constant speed of 30 miles/hr meanwhile the car is going north a
Lerok [7]

Answer:

d(t)=\sqrt{(300+30t)^2+(60t)^2}

Step-by-step explanation:

Let t represents the time in hours,

We know that,

Speed =\frac{Distance}{Time}

\implies Distance = Speed\times time

Since, the speed of truck = 30 miles per hour,

So, the distance covered by the truck in t hours = 30t miles,

Similarly,

Speed of car = 60 miles per hour,

So, the distance covered by car in t hours = 60t miles,

∵ Truck is 300 miles east of the car initially,

Thus, the distance of the truck from the starting point = 30t + 300,

While the distance of the car from the starting point = 60 t,

Now, these two vehicles are going in the directions which are at right angled ( car is going north and truck is going west )

Using the Pythagoras theorem,

Distance between them after t hours,

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3 years ago
Write –64.875 as a mixed number.
Juliette [100K]

Answer:

-64\frac{7}{8}

Step-by-step explanation:

-64 would be the whole number.

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Put them together:

-64\frac{875}{1000}

Simplify:

-64\frac{875}{1000}=-64\frac{875/125}{1000/125}=\boxed{-64\frac{7}{8}}

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3 years ago
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I need help asap thx:):)
bogdanovich [222]

Answer:

l : b = 6 : 5

Step-by-step explanation:

let's assume lenght of each congruent rectangle be x

now,

Lenght of the larger rectangle =

=》3 × lenght of smaller rectangle = 3x

but it is also equal to

=》4 × width of each smaller rectangles ( b )

so, we get :-

=》4 × b = 3x

=》b = 3x / 4

so, we get width of smaller rectangle =

\frac{3x}{4}

now, width of larger rectangle =

=》lenght of smaller rectangle + (2 × width of smaller rectangle)

=》

x + 2b

=》

x +  (2 \times \frac{3x}{4} )

=》

x +  \frac{3x}{2}

=》

\frac{5x}{2}

now, length of larger rectangle = 3x

width of larger rectangle = 5x/2

so l : w :-

=》

\frac{3x}{ \frac{5x}{2} }

=》

\frac{3 \times 2}{5}

=》

\frac{6}{5}

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Answer:

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Step-by-step explanation:

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