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2 years ago

It is given that 3/7 , 12/m and n/49 are equivalent fractions. Find the value of ‘m’ and ‘n’.

Mathematics

1 answer:

denis23 [38]2 years ago

4 0

Answer:

m=28

n=21

Step-by-step explanation:

3×4=12

7×4=28

28×1.75=49

12×1.75=21

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What is the equation of the circle with center (0, 0) that passes through the point (–4, –6)?

eimsori [14]

Answer:

Option 4: x^2+y^2 = 52

Step-by-step explanation:

Given

Centre at origin

Point on circle = (-4, -6)

The distance between origin and point on circle will be the radius of the circle

So,

$r = \sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}\\r= \sqrt{(-4-0)^2+(-6-0)^2} \\r = \sqrt{(-4)^2+(-6)^2}\\r = \sqrt{16+36} \\r = \sqrt{52}$

As the center is at origin the standard equation will be:

$x^2+y^2 = r^2\\$

Putting the value of r

$x^2+y^2 = (\sqrt{52})^2\\x^2+y^2 = 52$

Hence, last option i.e. Option 4 is correct ..

8 0

3 years ago

A plane is traveling at 600 miles per hour. How many feet per second is it traveling?

Whitepunk [10]

Answer:

see explanation

Step-by-step explanation:

First we need to convert 600 miles per hour into feet per hour,

which is

# 3.168e+6

next, divide both by 60 to get feet per minute, then divide by 60 again on both sides to get feet per second

which is

#880 ft per second

8 0

3 years ago

A cyclist rides her bike at a speed of 10 kilometers per hour. What is this speed in miles per hour? How many miles will the cyc

SashulF [63]

6.25 miles per hour
12.5 miles in 2 hours

6 0

2 years ago

How did Alexander Hamilton steal british cannons?

Leni [432]

Answer:

Hamilton appeared he handed Mulligan a gun, took the rope and pulled the cannon toward American lines. Step-by-step explanation:

i looked it up

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2 years ago

Robert and Chris can skate 4 miles in 18 minutes. How far can they ride in 45 minutes?

adell [148]

Answer: Robert and Chris can skate 10 miles in 45 minutes.

Step-by-step explanation:

Let's start by finding the unit rate.

$\frac{4}{18} =\frac{2}{9} \\\frac{18}{18} =1$

Robert and Chris can skate $\frac{2}{9}$ of a mile in 1 minute. Now we can multiply both by 45 to see how far the can go in 45 minutes.

$(\frac{2}{9}) (\frac{45}{1} )\\\frac{(2)(45)}{(9)(1)} \\\frac{90}{9} \\10$

45x1=45

The can skate 10 miles in 45 minutes.

6 0

2 years ago