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gavmur [86]
3 years ago
6

Find the greatest common factor of 15a^3 and 12x

Mathematics
2 answers:
JulsSmile [24]3 years ago
4 0

Answer:

  3

Step-by-step explanation:

The factors of the first expression are ...

  3·5·a·a·a

The factors of the second expression are ...

  2·2·3·x

The only common factor is 3. Hence, 3 is the greatest common factor.

Margaret [11]3 years ago
4 0

Answer:3

Step-by-step explanation:

To find the greatest common factors

We get

15a^3=3×5×axaxa

12x=2×2×3×x

Cf=3

Greatest common factors is 3

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A triangle has side lengths of 10, 11, and 15 . what type of triangle is it?
Trava [24]
Answer: scalene and obtuse

Justification:

You can find the angles using the law of cosine:

c^2 = a^2 + b^2 - 2abcos(γ)

=> cos(γ) = [a^2 + b^2 - c^2] / (2ab)

1) cos(γ) = [10^2 + 11^2 - 15^2] / (2*10*11) = - 0.0181818

=> γ = arccos(-0.0181818} ≈ 91°

2) cos(α) = [b^2 + c^2 - a^2 ] / 2bc = [11^2 + 15^2 - 10^2] / (2*11*15] = 0.7454545

=> α = arccos(0.7454545) ≈ 41.8°

3) cos(β) = [a^2 + c^2 - b^2] / (2ac) = [10^2 + 15^2 - 11^2] /(2*10*15) = 0.68

=> β = arccos(0.68) ≈ 47.2°

4) Verification: 91° + 41.8° + 47.2° = 180°

5) The triangles with the three different sides are called scalenes (which you can tell with only the measures of the sides).

6) The triangles with one angle greater than 90° are called obtuse.

So, the triangle is scalene and obtuse.
7 0
3 years ago
Jimmy gets a discount of 35% for a pair of sneakers with an original price of $70. He also gets a discount of 25% on a shirt wit
tangare [24]

It would be 70*35 / 100 + 30*25 / 100

2450 /100 + 750/100

24.50 + 7.50  = 32

So, your answer is $32

3 0
3 years ago
Read 2 more answers
1
Papessa [141]

Answer:

d = 10/72

Step-by-step explanation:

c and d vary inversely

c = k/d

Where,

k = constant of proportionality

d = 2/9 when c = 5

c = k/d

5 = k ÷ 2/9

5 = k × 9/2

5 = 9k/2

Cross product

5*2 = 9k

10 = 9k

k = 10/9

c = k/d

c = 10/9 ÷ d

c = 10/9 × 1/d

c = 10/9d

find d when c = 8

c = 10/9d

8 = 10/9d

Cross product

8*9d = 10

72d = 10

d = 10/72

8 0
3 years ago
Find the angle between the given vectors to the nearest tenth of a degree.
andreyandreev [35.5K]

Answer:

20.3

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Which expressions are equivalent to 2^5 x 24? Check all that apply.
KIM [24]
I don’t now what the answer is sorry I will try and figure it
7 0
3 years ago
Read 2 more answers
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