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Firdavs [7]
2 years ago
13

A triangle has sides with lengths of 65 in 72 in and 97 in is it a right triangle?

Mathematics
1 answer:
Ray Of Light [21]2 years ago
6 0

Answer:

yes

Step-by-step explanation:

By pythagoras' theorem,

97^2 = 9409

65^2 + 72^2 = 9409

since 65^2 + 72^2 = 97^2, the triangle is a right angled triangle

This is a question on Pythagoras theorem. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

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Carl drove from his house to work at an average speed of 35 miles per hour. The drive took him 25 minutes. If the
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Carls speed going home is 1.2km an hour
8 0
3 years ago
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WILL MARK BRAINLIEST <br><br> what is the domain of (f/g) (x)?
tatyana61 [14]

Given that f(x) = \sqrt{7-x} and g(x) = \sqrt{x + 2}, we can say the following:

\Bigg(\dfrac{f}{g}\Bigg)(x) = \dfrac{f (x)}{g(x)} = \dfrac{\sqrt{7 - x}}{\sqrt{x+2}}


Now, remember what happens if we have a negative square root: it becomes an imaginary number. We don't want this, so we want to make sure whatever is under a square root is greater than 0 (given we are talking about real numbers only).


Thus, let's set what is under both square roots to be greater than 0:

\sqrt{7 - x} \Rightarrow 7 - x \geq 0 \Rightarrow x \leq 7

\sqrt{x + 2} \Rightarrow x + 2 \geq 0 \Rightarrow x \geq -2


Since both of the square roots are in the same function, we want to take the union of the domains of the individual square roots to find the domain of the overall function.

x \leq 7 \,\,\cup x \geq -2 = \boxed{-2 \leq x \leq 7}


Now, let's look back at the function entirely, which is:

\Bigg( \dfrac{f}{g} \Bigg)(x) = \dfrac{\sqrt{7 - x}}{\sqrt{x+2}}

Since \sqrt{x + 2} is on the bottom of the fraction, we must say that \sqrt{x + 2} \neq 0, since the denominator can't equal 0. Thus, we must exclude \sqrt{x + 2} = 0 \Rightarrow x + 2 = 0 \Rightarrow x = -2 from the domain.


Thus, our answer is Choice C, or \boxed{ \{ x | -2 < x \leq 7 \}}.


<em>If you are wondering why the choices begin with the x | symbol, it is because this is a way of representing that x lies within a particular set.</em>

6 0
3 years ago
Please help me on this one thx i really need this one.
MrRissso [65]

Answer:

6 meters

Step-by-step explanation:

Every 7 floors, it goes up by 22.4 meter intervals.

Let's count down,

the 7th floor would be 50.8 - 22.4, which is 28.4.

the 0th floor would be 28.4 - 22.4, which is 6.

7 0
3 years ago
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Based on a​ survey, assume that ​% of consumers are comfortable having drones deliver their purchases. Suppose that we want to f
n200080 [17]

Answer and Step-by-step explanation:

Solution:

Given:

Assume that 46% of consumers are comfortable to deliver their purchase.

Five consumers randomly selected.

Exactly three of them are comfortable with delivery by drones.

Identify the value of n, x, p?

Probability of success on any one trial = 46% = 0.46

Probability of failure on any trial = q = 1-p

                                                          = 1- 0.46

                                                          = 0.54

The number of trial = n = 5

The number of comfortable consumers =x = 3

n represent the number of subject included.in this question, there are five consumers randomly selected.

X represents the number of success. In question, there are exactly three consumers that are comfortable with delivery by drones.

P represents the probability of success, and q represent the probability of failure.

Hence,

n = 5

x= 3

p = 0.46

q= 0.54

4 0
3 years ago
Help for brainliest and good luck
raketka [301]

18 is the correct answer

3 0
3 years ago
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