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baherus [9]
3 years ago
7

10 mi 6 mi b What is the length of the missing leg? b miles

Mathematics
1 answer:
poizon [28]3 years ago
6 0

Answer:

The length of the missing leg:

  • b = 8 miles

Step-by-step explanation:

Given

  • c = 10 mi
  • a = 6 mi

To determine:

The length of the leg b = ?

For a right-angled triangle, with sides a and b the hypotenuse c is defined as:

c=\sqrt{a^2+b^2}

We can find the length of the leg b using the formula

b=\sqrt{c^2-a^2}

substituting c = 10 and b = 6 in the formula

b=\sqrt{10^2-6^2}

b=\sqrt{100-36}

b=\sqrt{64}

b=\sqrt{8^2}

\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a

b=8 mi

Therefore, the length of the missing leg:

  • b = 8 miles
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Hope this helps! <3
8 0
3 years ago
Please help im so confused!?
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I think the answer is D) 24/25.

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Becky bought a new Apple computer for $1,205. The purchase price included a 6% sales tax. What's the actual selling price of the
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7 0
3 years ago
On Monday, Harold picked up three donuts and two large coffees for the office staff. He paid $3.94. On Tuesday, Melinda picked u
Pachacha [2.7K]
First things first, write the equations!
- Word problems can be intimidating because of all information given, so all you need to focus on, is the information about the variables you are solving, everything else, like the story line is irrelevant!
- Writing Equations from Word Problems:
pull the good stuff (information about the variables) so you can see the information needed, without having to mess your brain up with a bunch of irrelivance!

Equation 1:
3 donuts and 2 coffees is $3.94
Equation 2:
2 donuts and 6 coffees is $7.20

Now it is simply reading the equation...
Knowing these "terms" when writing Equations from a word problem is VERY IMPORTANT;
IS: =
and, more than, etc: +
less than, etc: -

Knowing the terms makes Writing the Equations THE EASIEST PART! Most of the time students get these problems wrong because of wrong equations!
So Equation 1 IS ( = ) ;)
3 Donut + 2 Coffee = 3.94
Equation 2:
2 donut + 6 coffee = 7.20

Now, to make things simple I personally find it easier to "let Donuts = d" and "let Coffee = c"

so...
3d + 2c = 3.94
2d + 6c = 7.20

in order to solve, we have to ELIMINATE one of the variables by making one of them equal 0.
I chose to eliminate c by multiplying the first equation by 3.
3 (3d + 2c = 3.94)
--> 9d + 6c = 3.94
and then the 2nd equation by -1
-1 (2d + 6c = 7.20)
---> -2d + -6c = -7.20
9d + 6c = 11.82
-2d + -6c = -7.20
--- Now we can add the 2 equations, doing so will cancel out c!
9d + 6c = 11.82
+
-2d + -6c = -7.20
= 7d + 0c = 4.62
= 7d = 4.62
now it is simple algebra to figure out d!
- you want to get d by itself so we need to get rid of the 7 and take it to the other side by division!
so-- 7d/7 = 4.62/7
= d = .66
Now that we know d, we just plug it into the original equations to find c!
- you can choose either one to plug it intl , but I chose equation 2:
2(.66) + 6c = 7.20
* MUST DO ORDER OF OPERATIONS- PEMDAS (parentheses, exponemts, multiplication, division, addition and then lastly subtraction)
so first we multiply 2 and .66
1.32 + 6c = 7.20
Now we want to get c by itself, so we subtract 1.32 by both sides-
6c = 5.88
now divide to get c
c = .98
ALWAYS CHECK
BOTH
EQUATIONS AFTER FINDING THE VARIABLES TO ENSURE YOU HAVE THE CORRECT ANSWER (:

I hope that helped (:
7 0
3 years ago
Help ASAP
Maksim231197 [3]
16 miles because first you have to subtract your flat rate of $2 from $10, which will leave you left with $8. If it’s $0.50 per mile then divide that by the amount of money you have remaining after the flat rate deduction (8/0.50). After dividing you will find that you have enough money to travel 16 miles.
4 0
3 years ago
Read 2 more answers
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