Pythagoras' theorem is a basic relationship between the three sides of a right triangle in Euclidean geometry. The correct option is D.
<h3>What is Pythagoras theorem?</h3>
The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.
A triangle has points to monkeys, giraffes, and lions. The distance between lions and monkeys is 11 feet and between monkeys and giraffes is 16 feet. The distance between lions and giraffes is the hypotenuse of x feet. The equation that will find the distance between the lions and giraffes is,
c² = 11² + 16²
c² = 121 + 256
c² = 377
Hence, the correct option is D.
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Well first we need to do whatever is in the parentheses, which in this case is: (5x1/20)
Following the order of operations (PEMDAS) we start with the multiplication, which is (5x1). We know that 5x1=5, so now we can move on to the division:
5/20, which is equal to 0.25
So now that we know the answer to the equation in the parentheses is 0.25, we can solve the whole equation.
Here is the equation simplified:
4 (0.25)
Because there is now operation indicated between the 4 and the parentheses, we can assume that multiplication is implied, so the final equation is as follows:
4x0.25=1
The final answer is: 1
Hope this helps!
Answer:
(1, 4) and (1,3), because they have the same x-value
Step-by-step explanation:
For a relation to be regarded as a function, there should be no two y-values assigned to an x-value. However, two different x-values can have the same y-values.
In the relation given in the equation, the ordered pairs (1,4) and (1,3), prevent the relation from being a function because, two y-values were assigned to the same x-value. x = 1, is having y = 4, and 3 respectively.
Therefore, the relation is not a function anymore if both ordered pairs are included.
<em>The ordered pairs which make the relation not to be a function are: "(1, 4) and (1,3), because they have the same x-value".</em>
I'll do the first 2 and 6, and I challenge you to do the other three on your own!
For 1, from some guess and check we can figure out that 5*5=25. Since 5 is a prime number, that's it!
For 2, we can figure out that 7*7=49 and 7 is a prime number, so we're good there.
From 6, we can do some guess and check to figure out that 2*24=48, 2*12=24, 2*6=12, and 2*3=6, resulting in 2*2*2*2*3=48 since 2 and 3 are prime numbers. We found out, for example, to find 2*12 due to that if 2*24=48, 2*24 is our current factorization. By finding 2*12=24, we can switch it to 2*2*12
Answer:
2,000 miles
Step-by-step explanation:
We are given:
This can be rewritten as:
This is representative of a unit rate, as we have a 
in the denominator. To calculate the number of miles in 
inches, simply multiply the unit rate by :
This can rewritten as:
Therefore, there are 2,000 miles in 4 inches.
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We can check our solution by simplifying the fraction by dividing both 
and by to see if we achieve the unit rate:
Since this is in fact the unit rate, our solution is correct!
