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Ede4ka [16]
3 years ago
14

A gardener combines x fluid ounces of 20% liquid fertilizer and 80% water mix with y fluid ounces of 5% liquid fertilizer and 95

% water mix to make 30 fluid ounces of a 10% liquid fertilizer and 90% water mix. What is a system of equations for this??
Mathematics
1 answer:
ELEN [110]3 years ago
5 0
X = 10 fluid ounces
y = 20 fluid ounces
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Derek works at a lab with a huge circular particle accelerator. It has a diameter of 6 kilometers. What is the accelerator's rad
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Answer:

18.84

Step-by-step explanation:

Multiply the diameter by pi or 3.14

3 0
3 years ago
The length of a rectangle is represented by (6x − 2), and the width is represented by (x − 1). Which expression best represents
pogonyaev

Answer: 6x^2 -8x +2

Step-by-step explanation:

The area of a rectangle is just length multiplied by width so would have:

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3 0
3 years ago
1. What is the value of x in the triangle?
brilliants [131]
Problem 1

cos(angle) = adjacent/hypotenuse
cos(18) = x/25
25*cos(18) = x
x = 25*cos(18)
x = 23.7764129073789
x = 23.78

Answer: x = 23.78

=====================================================

Problem 2

theta = greek letter that looks like a "zero" or the letter O with a horizontal line through it

With the reference angle of theta, the opposite side is 3. This side is the leg furthest from the angle theta. In contrast, the side 4 is the closest leg to theta. The longest side 5 is the hypotenuse. The hypotenuse is always the lonest side

sin(theta) = opposite/hypotenuse
sin(theta) = 3/5

cos(theta) = adjacent/hypotenuse
cos(theta) = 4/5

tan(theta) = opposite/adjacent
tan(theta) = 3/4

---------------------------

In summary:
sin(theta) = 3/5
cos(theta) = 4/5
tan(theta) = 3/4

=====================================================

Problem 3

cos(angle) = adjacent/hypotenuse
cos(x) = 15/29
x = arccos(15/29) .... inverse cosine or cos^(-1) also works
x = 58.852610078491
x = 58.85

Answer: x = 58.85

=====================================================

Problem 4

The rule we'll use is
sin(x) = cos(90-x)

sin(theta) = cos(90-theta)
cos(90-theta) = cos(58)
90 - theta = 58
90 - theta+theta = 58+theta
90 = 58+theta
90-58 = 58+theta-58
32 = theta
theta = 32

Answer: 32

=====================================================

Problem 5

x = height of pole

the vertical side is the side we want, which is the opposite side compared to the angle 55 degrees

sin(angle) = opposite/hypotenuse
sin(55) = x/25
25*sin(55) = x
x = 25*sin(55)
x = 20.4788011072248
x = 20.5

Each pole is roughly 20.5 feet tall.

=====================================================

Problem 6

The exact value is the fraction sqrt(3)/2 which can be written as \frac{\sqrt{3}}{2}

"sqrt" is shorhand for "square root"
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3 years ago
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Should be 13 Across the bottom and 6 on top which would be 19 in total

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Why is it useful to factor polynomial expressions for a given scenario?
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If you can't factor the polynomial then you won't be able to even start the problem or even end it
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