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Lera25 [3.4K]
3 years ago
9

Find n(A) for the set A = {300, 301, 302, ..., 3000}

Mathematics
1 answer:
sergiy2304 [10]3 years ago
5 0

Answer:

  n(A) = 2701

Step-by-step explanation:

If we subtract 299 from the numbers in the set, we get the counting numbers ...

  {1, 2, 3, ..., 2701}

The number of elements in the set is 2701:

  n(A) = 2701

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The three inside angles (A,B and C) of a right angled triangle are in the ratio 7:18:11
Anastasy [175]

This is overdetermined.  Without looking at the ratio (except for the order of the sides) the actute angles in a right triangle are complementary so the answer must be:

Answer: A=35°, C=90°, B=55°

We can do it the way they like.

7+18+11 =36

so to get 180 degrees we need to scale the ratio elements by a factor of 5.

7:18:11=35:90:55

A is the smallest.  We see C is indeed a right angle and B is complementary to A.

6 0
3 years ago
Mortar is made by mixing cement, sand and quicklime in the ration 1:2:3
timurjin [86]

Answer with step-by-step explanation:

If the ratio for the ingredients is 1:2:3, then the total would be 6. If so, we have to divide 2.1 by 6, which is 0.35. Now, you need to multiply 0.35 to the according ingredient amounts.

Cement: 1 x 0.35 = 0.35

Sand: 2 x 0.35 = 0.70

Quicklime: 3 x 0.35 = 1.05

If you add it up, you will get 2.1, which is the volume.

Hope this helped! (brainliest please)

3 0
3 years ago
How many different ways can you write a fraction that has a numerator of 2 as a sum of fractions
svetoff [14.1K]
Infinitely many ways! 
Suppose you have the fraction 2/d.

<span>Pick </span>any<span> pair of integers a and b where b ≠ 0.</span>
Then 2b-ad is and integer, as is bd so that (2b - ad)/bd is a fraction.

Consider the fractions a/b and (2b - ad)/bd

<span>Their sum is </span>
a/b + (2b-ad)/bd = ad/bd + (2b-ad)/bd = 2b/bd = 2/d - as required.

<span>Since a and b were chosen arbitrarily, there are infinitely many possible answers to the question.</span>
5 0
3 years ago
A 1400 kg car moving +13.7 m/s makes an elastic collision with a 3200 kg truck, initially at rest. What is the velocity of the c
Kamila [148]

Answer:

The velocity of the car after the collision is -5.36 m/s

Step-by-step explanation:

An elastic collision is an encounter between two bodies in which the total kinetic energy of the two bodies remains the same.

let the following:

m₁ = mass of the car = 1400 kg

m₂ = mass of the truck = 3200 kg

u₁ = velocity of the car before collision = 13.7 m/s

u₂ = velocity of the truck before collision = 0 m/s

v₁ = velocity of the car after collision

v₂ = velocity of the truck after collision

v₁ = [ u₁ * (m₁ - m₂) + u₂ * 2m₂ ]/ (m₁ + m₂)

   =  [ 13.7 * (1400 - 3200) + 0 * 2 * 3200 ]/ (1400 + 3200)

   = - 5.36 m/s

So, <u>the velocity of the car after the collision is -5.36 m/s</u>

7 0
3 years ago
Which of the following values for m proves that 2m + 2m is not equivalent to 4m2?
Mashutka [201]
M=0 i am not sure it is right 
6 0
2 years ago
Read 2 more answers
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