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Ymorist [56]
3 years ago
5

Evaluate C(3, 3) 1 6 24

Mathematics
1 answer:
Anestetic [448]3 years ago
4 0

Answer:

1

Step-by-step explanation:

Using the definition

nC_{r} = \frac{n!}{r!(n-r)!}

where n! = n(n - 1)(n - 2) × 3 × 2 × 1

and 0! = 1

3C_{3}

= \frac{3!}{3!(3 - 3)!}

= \frac{3!}{3!(0!)}

= \frac{3!}{3!} = 1

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Find the area. The figure is not drawn to scale.
Rina8888 [55]
Answer:
area = 13.8 cm²

Explanation:
The area of the triangle can be calculated using the following rule:
area of triangle = (1/2) * base * height

In the given:
base of triangle = 6.9 cm
height of triangle = 4 cm

Substitute with the givens in the above equation to get the area as follows:
Area = (1/2) * (6.9) * (4)
Area = 13.8 cm²

Hope this helps :)
6 0
3 years ago
What is the solution set of {xlx<-3}{xlx>5)?
Anna007 [38]
<h3>Answer: C. Empty set</h3>

Explanation:

The first set {x | x < -3} means we're talking about numbers smaller than -3. This includes -4, -5, -6, etc

The second set {x | x > 5} means we're talking about numbers larger than 5. So things like 6,7,8,...

Combining both at the same time, we want to find a number that is both smaller than -3 and larger than 5. This is impossible as no such number exists. You can pick one or the other, but not both.

There are no solutions. Since there are no solutions, the solution set is the empty set.

8 0
3 years ago
To prove that ΔAED ˜ ΔACB by SAS, Jose shows that StartFraction A E Over A C EndFraction = StartFraction A D Over A B EndFractio
stich3 [128]

The other equality which must be stated by Jose is that angles BAC and BAE are congruent and their measures are equal.

<h3>What other congruence statements must Jose state?</h3>

It follows from the task content that Jose is trying to prove the congruence of both triangles by means of the Side-Angle-Side congruence theorem.

It therefore follows that since, Jose has identified that the ratio of corresponding sides are equal as indicated in the task content, the equality which Jose has to state is the angle congruence equality.

Read more on congruence theorem;

brainly.com/question/3168048

#SPJ1

7 0
2 years ago
A. Find value of x and KL if K is between J and L.
MrRa [10]

Answer:

x=3

Step-by-step explanation:

If k is between J and L, then

JK + KL = JL

2x+11 + (3x) = 13x-13

Combine like terms

5x +11 = 13x -13

Subtract 5x from each side

5x-5x+11 = 13x-5x-13

11 = 8x-13

Add 13 to each side

11+13 = 8x-13+13

24 = 8x

Divide by 8

24/8 = 8x/8

3 =x

8 0
3 years ago
The perimeter of this square is 20 inches.
Rashid [163]

Answer:

Amaya is wrong.

Step-by-step explanation:

The perimeter of the square is 20 inches, which means each side of the square needs to add up to 20 inches. If the side length of that side Amaya pointed out is 4 inches, then the total perimeter would only be 18 inches, in another case, if they were talking about the area of the square/rectangle (now), it would be 20 inches. So, Amaya is wrong.

5 0
3 years ago
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