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SashulF [63]
2 years ago
15

Please answer will mark brainliest thank you so much

Mathematics
1 answer:
vodka [1.7K]2 years ago
3 0

Answer:

6\sqrt{5}

Step-by-step explanation:

First, we take out any factors of 180 which are squares.

The square factor 9 is most easily seen.

So, \sqrt{180} = \sqrt{9 * 20} which is equal to 3\sqrt{20}.

Again, we can take out more factors. Notice that 4 is 2 squared and a factor of 20. So, 3 \sqrt{ 4* 5} which is equal to 3 × 2 × \sqrt{5}, which is 6\sqrt{5}.

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George walks 1 mile to school. He leaves home at the same time each day, walks at a steady speed of 3 miles per hour, and arrive
alex41 [277]

Answer:

George must run the last half mile at a speed of 6 miles per hour in order to arrive at school just as school begins today

Step-by-step explanation:

Here, we are interested in calculating the number of hours George must walk to arrive at school the normal time he arrives given that his speed is different from what it used to be.

Let’s first start at looking at how many hours he take per day on a normal day, all things being equal.

Mathematically;

time = distance/speed

He walks 1 mile at 3 miles per hour.

Thus, the total amount of time he spend each normal day would be;

time = 1/3 hour or 20 minutes

Now, let’s look at his split journey today. What we know is that by adding the times taken for each side of the journey, he would arrive at the school the normal time he arrives given that he left home at the time he used to.

Let the unknown speed be x miles/hour

Mathematically;

We shall be using the formula for time by dividing the distance by the speed

1/3 = 1/2/(2) + 1/2/x

1/3 = 1/4 + 1/2x

1/2x = 1/3 - 1/4

1/2x = (4-3)/12

1/2x = 1/12

2x = 12

x = 12/2

x = 6 miles per hour

4 0
3 years ago
Please help with these two questions, will give thanks
AURORKA [14]

Answer:

Step-by-step explanation:

1. True

2. C

3 0
2 years ago
PLEASE HELP PICTURE SHOWN
Rainbow [258]
Your answer is B. 2
This is because to rationalise the denominator, we need to multiply it by (3 - √7), so we get:
(3 + √7)(3 - √7)
3 × 3 = 9
3 × √7 = 3√7
3 × -√7 = -3√7
√7 × -√7 = -7
So all in all you get 9 - 7 which is 2.

I hope this helps!
4 0
3 years ago
Read 2 more answers
The tail on Alex's dog is 5 1/4 inches long. This length is between which two inch marks on a ruler
Andrei [34K]
5 and 6 because 5 1/4 = 5.25.
5.25 is less than 6, but greater than 5.
8 0
3 years ago
Read 2 more answers
Find the missing dimension of each prism.
Leto [7]

Given:

Volume of the prism = 60 in³

Breadth = 2.5 in

Height = 4 in.

To find:

The length of the prism.

Solution:

We know that, volume of a prism is

V=l\times b\times h

where, l is length, b is breadth and h is height.

Putting V=60, b=2.5 and h=4, we get

60=l\times 2.5\times 4

60=l\times 10

Divide both sides by 10.

\dfrac{60}{10}=l

6=l

Therefore, the missing dimension of the prism is 6 in.

7 0
2 years ago
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