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alexandr402 [8]
3 years ago
12

A helicopter leaves bristol and flies due east for 10 miles.Then the helicopter flies 8miles north before landing. What is the d

irect distance of the helicopter from bristol?

Mathematics
1 answer:
DedPeter [7]3 years ago
6 0

Answer:

The distance of the helicopter from the bristol is approximately 1<u>2.81 miles</u>

Step-by-step explanation:

Given:

Helicopter flies 10 miles east of bristol.

Then the helicopter flies 8 miles North before landing.

To find the direct distance between the helicopter and bristol.

Solution:

In order to find the distance of the helicopter from the bristol before landing, we will trace the path of the helicopter

The helicopter is first heading 10 miles east of bristol and then going 8 miles due north.

On tracing the path of the helicopter we find that the direct distance of the helicopter from the bristol is the hypotenuse of a right triangle formed by enclosing the path of the helicopter.

Applying Pythagorean theorem to find the hypotenuse of the triangle.

Hypotenuse^2=Short\ leg^2+Shortest\ leg^2

Hypotenuse^2=10^2+8^2

Hypotenuse^2=100+64\\Hypotenuse^2=164

Taking square root both sides.

\sqrt{Hyptenuse^2}=\sqrt{164}\\Hypotenuse = 12.81\ miles

Thus, the distance of the helicopter from the bristol is approximately 12.81 miles

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Use the distributive property to remove the parentheses.<br> 10(u-2)
andrey2020 [161]

Answer:

After using distributive property to remove the parentheses 10(u-2)  we get 10u-20

Step-by-step explanation:

We need to use distributive property to remove the parentheses 10(u-2)

According to distributive property of multiplication over subtraction: a(b-c)=ab-ac

Using the above distributive property to solve the question. Multiply 10 with terms inside the bracket and solving:

10(u-2)\\=10u-10*2\\=10u-20

So, After using distributive property to remove the parentheses 10(u-2)  we get 10u-20

6 0
3 years ago
Which of the following describes a correct method for solving the equation: -7/2n + 5= -16 A. Add 5 to both sides, then devide b
solniwko [45]

Answer:

If the use the method ''Add -5 to both sides, then multiply both sides by -2/7'', we can get the value n = 6.

Thus, the correct option is 'C'.

Step-by-step explanation:

Given the equation

-\frac{7}{2}n+5=-16

Let me solve this using the correct method

-\frac{7}{2}n+5=-16

Add -5 to both sides

-\frac{7}{2}n+5+\left(-5\right)=-16+\left(-5\right)

simplify

-\frac{7}{2}n=-21

Multiply both sides by -2/7

-\frac{7}{2}n\times -\frac{2}{7}=-21\times -\frac{2}{7}

simplify

n=6

Therefore, if the use the method ''Add -5 to both sides, then multiply both sides by -2/7'', we can get the value n = 6.

Thus, the correct option is 'C'.

4 0
3 years ago
WHAT EQUAL 5 <br><br> ANSWER FOR 10 POINTS
Marrrta [24]
2+3=5
25/5=5
50/10=5
3 0
3 years ago
Read 2 more answers
What's the answer to all of it
Anettt [7]
From the title of your worksheet, you have to convert improper fractions to proper fractions. So, you see those two numbers on the top and the bottom separated by a line? Those are fractions. For example, 12/4 is an improper fraction.(I can't use the exact 'line' that separates it as its not on my keyboard, so I'm just using '/'.) In 12/4, 12 is 'on top'. The number on top is the numerator. And the number on the bottom, 4, is the denominator. 12/4 is an improper fraction as the numerator is bigger than the denominator. So, you can divide 12 by 4, giving you 3. 3 is a whole number as 12 could be divided by 4 without remainder, so that's your answer if you wanted to convert it into a proper fraction. That's just an example, though. Another example for things that have remainder when divided; let's use 13/4 for this example. 13 can't be divided by 4 perfectly, so you use the closest number that can be divided by 4, which is 12. But what happens to the the number left after using 12? 13-12=1. That's where the fraction comes along. The denominator was 4 in 13/4 so the proper fractions that you get is 3(the whole number) and 1/4(the one left after using 12).
So, for that example, your answer's 3 1/4.(note that the whole number should be bigger than the fraction when you write it out.)
Sorry for this really long answer. I didn't want to just give you the answer without you understanding it.


Anyway, for your questions in your worksheet.
I'm starting from question 1 and not the example question in your worksheet.

1) 4 5/8
2) 10 3/10
3) 6 2/4
Or in simplest form if required: 6 1/2
4) 3 1/3
5) 5 3/8
6) 3 6/7
7) 10 9/10
8) 7 1/3
9) 7 4/5
10) 2 4/5
11) 4 1/2
12) 5 1/3
13) 9 2/8
Or in simplest form if required: 9 1/4
14) 5 2/3
15) 8 9/10
16) 8 3/4
17) 10 1/6
18) 1 2/6
19) 7 3/6
20) 10 7/10

( I put some spaces between the whole numbers and fractions so that it's not too complicating.)
I apologize if I made any mistakes ^^;;
Happy learning! :)
5 0
3 years ago
A container holds 3/4 gallon of oil. Rory is changing the oil on his vehicles and needs 6 containers. How many gallons of oil do
igomit [66]

Answer:

4 1/2 containers needed

Step-by-step explanation:

To do this one, you need to know the 6 = 6/1

So to find the amount of oil needed, you multiply the amount of containers by how much it can hold which, in this case, is 3/4 gallons.

When multiplying fractions, you multiply the top by the top and the bottom by the bottom

so a/b x c/d would be solved by a x c / b x d

therefore

3/4 x 6

= 3 x 6 / 4 x 1

= 18/4

simplified:

9/2 (divide top and bottom by 2)

mixed fraction:

4 1/2

note: top of a fraction is called the numerator and the bottom of a fraction is called a denominator

Hope this helps,

Cate

4 0
3 years ago
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