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Cloud [144]
2 years ago
11

Which decimal is equivalent to -3 1/8

Mathematics
1 answer:
denis23 [38]2 years ago
4 0

Answer:

the correct answer is -3.125

Step-by-step explanation:

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LMNO~QRST find the value of x.
adelina 88 [10]
Since both trapezoids are similar, so LMNO is a scaled version of QRST by some magnitude
so we can easily use the concept of ratios to find x
in other words: x÷2=6÷5
so x=6×2÷5=12/5=2.4
x=2.4
4 0
3 years ago
I need help with 6,7,8,9,10 please
Anna [14]

Can you take a picture of your whole worksheet? only the front page

7 0
3 years ago
Santos is a lifeguard and spots a drowning child 50 meters along the shore and 60 meters from the shore to the child. Santos run
Amanda [17]

Answer:

Santos should run approximately 36.145 meters along the shore

Step-by-step explanation:

The given parameters are;

The distance along the shore of the child = 50 meters

The distance from the shore of the child = 60 meters

The rate at which Santos can run = 4 m/s

The rate he can swim = 0.9 m/s

Let 'x' represent the distance he runs along the shore

We have;

The time he spends running on the shore, t₁ = x/4

The time he spends swimming, t₂ = (√(60² + (50 - x)²)/0.9

The total time, T = t₁ + t₂ = x/4 + (√(60² + (50 - x)²)/0.9

To find the maximum, we have;

dT/dx = 0 = d(x/4 + (√(60² + (50 - x)²)/0.9)/dx = 1/4 - (50 - x)/(0.9·(√(60² + (50 - x)²) = 0

1/4 - (50 - x)/(0.9·(√(60² + (50 - x)²) = 0

Simplifying using a graphing calculator gives;

\dfrac{x - 2000}{9} = \sqrt{x^2-100\cdot x+6,100}

1519·x² - 151900·x + 3505900 = 0

x = (151900 ± √((-151900)² - 4×1519×3505900))/(2 × 1519)

x ≈ 63.86 m or x ≈ 36.145 m

We note that the distance from a point x = 63.83 meters and 36.145 meters from where Santos spots the girl to the location of the girl are the same

Therefore, Santos should run approximately 36.145 meters along the shore before jumping into to the water in order to save the child

7 0
2 years ago
What is the radius for the circle given by the equation (x - 2)^2 + y^2 = 14?
Anarel [89]

Easily, take the square root of the number in the right side to find the radius

\sqrt{14}

is the answer

7 0
2 years ago
PLS HELPPPP The question is down below.
DochEvi [55]

Answer:

I think it's C

Step-by-step explanation:

5 0
3 years ago
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