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igomit [66]
4 years ago
8

A 2 + b 2 = c 2 Complete the equation below by writing an expression equivalent to the length of a, the leg of a right triangle.

Mathematics
1 answer:
mart [117]4 years ago
4 0

Answer:

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

Step-by-step explanation:

Subtract b² from both sides of the equation.

a² = c² -b²

Now, take the square root of both sides of the equation.

a = √(c² -b²)

_____

Please note that when writing the square root (or any function) in plain text, it only applies to the first operand after the function name. That is ...

square root [ ] - [ ]

is evaluated as ...

(square root [ ]) - [ ]

If you want an entire expression to be considered to be "under the radical", then it must be enclosed in parentheses:

square root ([ ] -[ ])

This is the interpretation demanded by the Order of Operations. It can only be modified by using parentheses.

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Ali and billy ran around a race track. How many more metres did Ali ran than billy in one lap? (Find perimeter)
Paraphin [41]

Answer:

Ali ran 25.13 m more than bily

Step-by-step explanation:

From the diagram, we can see that bully runs with the inner track line while Ali runs with the outer track line.

Thus;

Diameter of inner semi circle = 20 m

Diameter of outer semi circle = 20 + 4 + 4 = 28 m

Perimeter of inner semi circle = πD/2 = 10π

Perimeter of outer semi circle = πD/2 = 14π

Now, perimeter of Billy = 80 + 80 + 10π + 10π = 222.83 m

Perimeter of Ali = 80 + 80 + 14π + 14π = 247.96 m

Thus, in one lap, difference in distance between Ali and billy = 247.96 - 222.83 = 25.13 m

8 0
3 years ago
Taj had 15 books. He gave some of the books to his friends.
deff fn [24]
The answer is B six books, hope this helps!
7 0
3 years ago
Read 2 more answers
If Julie needs 3 1/4 cups of oatmeal, how many 1/4 cups of oatmeal will she use?
Murrr4er [49]
Well she needs 13. 1/4 multiplied by 4 equals 1 cup. so 1/4 times 12 would equal 3 cups plus another 1/4 cup would equal 3 1/4 cups of oatmeal
3 0
3 years ago
Read 2 more answers
The function f(x)= 1000(2)^x where x is the number of weeks, represents the cicada population on a farm. Use a function to answe
bulgar [2K]
The y intercept is where the line crosses the y axis or where x=0
basically f(0) which is 1000 or B


the y intercept is when x=0, when time=0, so it represents the amount of cicadas initially on the farm


the 2 means it doubles every week (because x=number of weeks)



B
A
C

7 0
4 years ago
Guys please help me
poizon [28]
<h3>Answer:   -4</h3>

==========================================================

Explanation:

We can pick any two rows from the table to get the (x,y) points needed to find the slope.

Let's say we pick the second and third rows

Subtract the y values: 14-6 = 8

Subtract the x values in the same order: 1-3 = -2

Divide the differences: 8/(-2) = -4

The slope is -4

--------------------------------------------------

You can use the slope formula

Let's say the points are (x1,y1) = (1,14) and (3,6)

m = (y2-y1)/(x2-x1)

m = (6-14)/(3-1)

m = -8/2

m = -4

It's the same basic idea as the previous section. You subtract the y values together (y2-y1) and the x values together (x2-x1) and divide the differences to get m. The order of subtraction doesn't matter as long as you stay consistent. If you do something like y2-y1 and x1-x2, then you'll get the wrong slope value.

3 0
3 years ago
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