Answer: w=66/9
Step-by-step explanation: 8/9=w-2/6
8(6)=9(w-2)
48 =9w-18
48+18=9w
66=9w
w=66/9
or w=7(3/9)
Answer:
16
Step-by-step explanation:
40 divided by 2.5 equals 16
Answer:
<em>79,920 different ways</em>
Step-by-step explanation:
Combination has to do with selection:
If we are to select 3 teachers from a pool of 10 teachers to form a committee, this can be done in 10C3 number of ways.
10C3 = 10!/(10-3)!3!
10C3 = 10!/7!3!
10C3 = 10*9*8*7!/7!3!
10C3 = 10*9*8/3*2
10C3 = 720/6
10C3 = 120 ways
Similarly, selecting five 2 students from a pool of 37 students to form a committee, this can be done in 37C2 difference ways;
37C2 = 37!/(37-2)!2!
37C2 = 37!/35!2!
37C2 = 37*36*35!/35!*2
37C2 = 37*36/2
37C2 = 37 * 18
37C2 = 666 ways
<em>Hence the total number of ways that the 5 committees can be selected is expressed as 10C3 * 37C3 = 120 * 666</em>
<em> 120 * 666 = 79,920 ways</em>
Answer:
A = 3.14
Step-by-step explanation:
Area = π r^2
Circumference = 2π r
- A = C^2/4π
- 6.28^2/4•π ≈ 3.13841
The correct answer is option A which is ABCD ≅ A'B'C'D'.
<h3>What is translation?</h3>
The process of changing the location of the image on the coordinate system will be known as the translation.
Quadrilateral ABCD is rotated at 145° about point T. The result is quadrilateral A'B'C'D'.
ABCD ≅ A'B'C'D'is correct Since the quadrilateral remains the same even after rotation of 145 degrees. Its corresponding sides and angles will remain the same.
Thus ABCD is congruent to A'B'C'D'.
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