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Zanzabum
3 years ago
13

Evaluate the given expression and express the result using the usual format for writing numbers (Instead of scientific notation)

Mathematics
1 answer:
Vilka [71]3 years ago
8 0

Answer:

{^{27}}C_{3}=2925

Step-by-step explanation:

To evaluate {^{27}}C_{3}

Using the formula

{^n}C_{r}=\frac{n!}{r!(n-r)!}\\\\{^{27}}C_{3}=\frac{27!}{3!(27-3)!}\\\\{^{27}}C_{3}=\frac{27!}{3!24!}\\\\{^{27}}C_{3}=\frac{(27)(26)(25)}{3.2.1}\\\\{^{27}}C_{3}=2925

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Is this a right triangle?
andrey2020 [161]

Answer:

D ; Yes because the Pythagorean theorem works

Step-by-step explanation:

The measure of all three sidelengths make a right triangle

5 0
3 years ago
Find three consecutive integers whose sum is equal to −354. Three consecutive integers in ascending form are __,__,__
mixer [17]

Answer: -119, -120, and -121

Step-by-step explanation: This problem states that the sum of three consecutive integers is -354 and it asks us to find the integers. Three consecutive integers can be represented as followed.

X ⇒ <em>first integer</em>

X + 1 ⇒ <em>second integer</em>

X + 2 ⇒<em> third integer</em>

<em />

Since the sum of our three consecutive integers is -354, we can set up an equation to represent this.

X + X + 1 + X + 2 = -354

Now, we can simplify on the left side of the equation.

3x + 3 = -354

      -3      -3    ← subtract 3 on both sides of the equation

3x = -357

÷3     ÷3     ← divide both sides by 3

X = -119

X ⇒ <em>first integer = </em><em>-119</em>

X + 1 ⇒ <em>second integer = </em><em>-120</em>

X + 2 ⇒<em> third integer = </em><em>-121</em>

<em />

Therefore, our three consecutive integers are -119, -120, and -121.

6 0
3 years ago
Read 2 more answers
Could someone check my answer please . Thank you
Elodia [21]
Hello! We will be using the Pythagorean theorum, where a² + b² = c². C is the clanted part of the triangle, and 13² is 169. a = 12, and we are looking for the value of b. 12² is 144. Let's subtract to find b. 169 - 144 is 25. Now, let's find the square root of 25 to find the length. √25 is 5. There. b = 5. The side length of side b is 5. The correct answer is C: 5.
8 0
3 years ago
Please help me with this one
Burka [1]
What is the question
7 0
3 years ago
Which of the following is the radical expression of a5/7
ioda

Answer:

The seventh root of a^5

Step-by-step explanation:

a^{5/7}

is equal to

\sqrt[7]{a^5}

because

b^{1/m} = \sqrt[m]{b}

hope this makes sense and helps

6 0
3 years ago
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