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AnnyKZ [126]
3 years ago
8

We know the following about the numbers a, b and c:

Mathematics
1 answer:
labwork [276]3 years ago
3 0

Step-by-step explanation:

(a + b)² = 9

(b + c)² = 25

(a + c)² = 81

Taking the square root:

a + b = ±3

b + c = ±5

a + c = ±9

By adding these three equations together and dividing both sides by 2, we get the value of a + b + c.

Possible combinations for a + b + c such that the sum is greater than or equal to 1 are:

a + b + c = (-3 + 5 + 9)/2 = 11/2

a + b + c = (3 − 5 + 9)/2 = 7/2

a + b + c = (3 + 5 + 9)/2 = 17/2

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A polynomial function with rational coefficients has the following zeros. Find all additional zeros.
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1 + 3i, - sqrt 10 would be the other two answers
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3 years ago
Neil has 3 partially full cans of white paint.They contain 1/3 gallon,1/5 gallon,and 1/2 gallon of paint.About how much paint do
Wittaler [7]

Answer:

  less than 1 1/2 gallons

Step-by-step explanation:

1/3 + 1/6 = 1/2, so the sum of the three cans is more than 1 by the difference between 1/5 and 1/6. That difference is 1/30 gallon. The sum is 1 1/30 gallons, which is less than 1 1/2 gallons.

__

A suitable common denominator is 2·3·5 = 30. Then the sum of the fractions is ...

  1/3 + 1/5 + 1/2

  = 10/30 + 6/30 + 15/30

  = 31/30 = 1 1/30 . . . . . less than 1 1/2

In decimal, 1/3 ≈ 0.333, 1/5 = 0.200, 1/2 = 0.500, so the sum is ...

  0.333 +0.200 +0.500 = 1.033

which is less than 1.5.

4 0
3 years ago
The data below are the number of absences and the final grades of 9 randomly selected students from a literature class. find the
Natasha2012 [34]
I don't know. I apologize. 
6 0
3 years ago
Solve the equation 8- 2x= -8x +14
Levart [38]

Answer:

x = -1

Step-by-step explanation:

8-2x=-8x+14

8-14=-8x+2x

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4 0
3 years ago
Read 2 more answers
Let sin(45°)=0.7071.Enter the angle measure (μ), in degrees for cos(μ)=−0.7071.
Alenkasestr [34]

Given :

Let sin(45°)=0.7071.

To Find :

The angle measure (μ), in degrees for cos(μ)=−0.7071 and value equivalent to 360n + , where n is an integer .

Solution :

We know , value of sin x and cos x is same at x = 45° .

Now , cos (-x) = cos(90°+x)

Therefore , μ in given question is :

μ =90°+45°

μ=135°

So , for angle of type 360°n + :

μ = 360°n + 135° .

Hence , this is the required solution .

5 0
3 years ago
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