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Alexus [3.1K]
3 years ago
10

A triangle with sides of lengths 9,22 and 24 is a right triangle True or false

Mathematics
2 answers:
olya-2409 [2.1K]3 years ago
8 0

Answer:

False

Step-by-step explanation:

Test this theory by using the pythagorean theorem.

for a right triangle with sides a, b and c

if c is they hypotenuse (i.e longest side) then the following must be true:

a² + b² = c² or c = √(a² + b²)

in this case, we assume the longest side to be c=24

also assume a=9 and b = 22

√ (a² + b² )

= √ (9² + 22² )

= √(81 + 484)

= √565

= 23.77 (close but NOT quite 24)

Hence this is NOT a right triangle.

Dmitry [639]3 years ago
5 0

Answer:

False

Step-by-step explanation:

If the triangle is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

9^2 + 22^2 = 24^2

81+484=576

565 = 576

This is false, so the triangle is not a right triangle

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For the month of March in a certain​ city, 57​% of the days are cloudy. Also in the month of March in the same​ city, 55​% of th
kirill115 [55]

Answer:

P(F | C) = 0.96

Step-by-step explanation:

Hi!

This is a problem on conditional probability. Lets call:

C = { cloudy day }

F = { foggy day }

Then F ∩ C = { cloudy and foggy day }

You are asked for P(F | C), the probability of a day being foggy given it is cloudy. By definition:

P(F|C)=\frac{P(F\bigcap C)}{P(C)}

And the data you have is:

P(C) = 0.57\\P(F \bigcap C) =0.55

Then: P(F | C) = 0.96

3 0
3 years ago
Find the perimeter of a field that has length 2/x + 1 and width 5/x^2 -1.
Semmy [17]

Answer:

D)4x + 6/(x + 1)(x - 1)

Step-by-step explanation:

A field is basically a rectangle, so to find the perimeter of our field we are using the formula for the perimeter of a rectangle

p=2(l+w)

where

p is the perimeter

l is the length

w is the width

We know from our problem that the field has length 2/x + 1 and width 5/x^2 -1, so l=\frac{2}{x+1} and w=\frac{5}{x^2-1}.

Replacing values:

p=2(l+w)

p=2(\frac{2}{x+1} +\frac{5}{x^2-1})

Notice that the denominator of the second fraction is a difference of squares, so we can factor it using the formula a^2-b^2=(a+b)(a-b) where a is the first term and b is the second term. We can infer that a=x^2 and b=1^2. So, x^2-1=(x+1)(x-1). Replacing that:

p=2(\frac{2}{x+1} +\frac{5}{x^2-1})

p=2(\frac{2}{x+1} +\frac{5}{(x+1)(x-1})

We can see that the common denominator of our fractions is (x+1)(x-1). Now we can simplify our fraction using the common denominator:

p=2(\frac{2(x-1)+5}{(x+1)(x-1)} )

p=2(\frac{2x-2+5}{(x+1)(x-1)} )

p=2(\frac{2x+3}{(x+1)(x-1)} )

p=\frac{4x+6}{(x+1)(x-1)}

We can conclude that the perimeter of the field is D)4x + 6/(x + 1)(x - 1).

3 0
3 years ago
What's the vertex of the following equation<br> x² - 6x + 5
igomit [66]

Answer:

Step-by-step explanation:

To find the vertex, change the following equation into graphing form (vertex form)

(x-3)^2-4 - graphing form

The vertex is (3,-4) because you find the x intercept by doing the opposite of -3, and -4 is in the equation.

vertex=

(3,-4)

7 0
3 years ago
75,4,3,100 form of proportion<br><br>​
Oksi-84 [34.3K]

Answer:

75/4=3/100

Step-by-step explanation:

sinple this is on proportion

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5 0
3 years ago
How do i get the factor of 3p2-2p-5
tensa zangetsu [6.8K]
3p² - 2p - 5 = 0

3p² + 3p - 5p - 5 = 0

3p(p + 1) -5(p + 1) = 0

(3p - 5)(p + 1) = 0

p = 5/3 or -1

Hope this helps!
5 0
3 years ago
Read 2 more answers
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