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soldi70 [24.7K]
3 years ago
12

The length of the arc of one quadrant is equivalent to theâ _____ of a 90 degrees bend.

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
8 0

Answer:

Developed Length

Step-by-step explanation:

A developed length is the length along the centre line of a circular shape.

From the question, the degree of bend is 90°

Also, from the question; the length of an arc of 1 quadrant.

1 quadrant = 90°

And the degree of bend = 90° (from the question)

So, it's safe to say 1 quadrant = the degree of bend = 90°

A small change in 90° will move change the quadrant to another quadrant.

So, at exactly 90° (or other multiples of 90° which are 180°, 270° and 360°), it is at its developed length.

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2 years ago
ε = {x: 2 x 30, x is an integer}, M = {even numbers}, P = {prime numbers}, T = {odd numbers} Find: I) MUP ii) M - T iii) P(MT) i
mariarad [96]

Answer:

Step-by-step explanation:

ε = {x: 2≤ x ≤30}

M = { even numbers} = {2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

P = { prime numbers} = {2,3,5,7,11,13,17,19,23,29}

T = {odd numbers} = {3, 5, 7, 9, 11,13,15,17,19,21,23,25,27,29}

1. M ∪ P = {2,3,4,5,6,7,8,10,11,12,13,14,16,17,18,19,20,22,23,24,26,28,29,30}

2. M - T =

n(M) - n(T)

15- 14 = 1

3. P(MT)

(MT) = M ∩ T = 0

P ∪ (M ∩ T ) = {2,3,5,7,11,13,17,19,23,29}

4. P' = not a prime number

T' = not odd number = M

P' ∪(M∩T')

P' ∪ {2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

= {2,4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30}

6 0
3 years ago
If a train traveled at 50 meters within 120 seconds, what is its speed?
Alja [10]

Answer:

v = 0.416 m/s

Step-by-step explanation:

Give that,

Distance covered by a train, d = 50 m

Time taken, t = 120 s

We need to find the speed of a train. The formula for speed of an object is equal to the total distance covered divided by total time taken. It can be given by :

v=\dfrac{d}{t}\\\\v=\dfrac{50\ m}{120\ s}\\\\v=0.416\ m/s

So, the speed of a train is 0.416 m/s.

3 0
2 years ago
-8(1 + 5b) – 2(86 – 1) = 50
kati45 [8]

Answer:

b = -57/10

Step-by-step explanation:

Let's first distribute everything out:

-8(1 + 5b) = -8 * 1 + (-8) * 5b = -8 - 40b

2(86 - 1) = 2 * 85 = 170

So, we have:

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-40b = 50 + 178 = 228

b = -228/40 = -57/10

Thus, the answer is b = -57/10.

Hope this helps!

3 0
3 years ago
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