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3 years ago

Is one side of a rectangular fish tank best represented by a point, line, plane, or ray?

Mathematics

1 answer:

Nataly_w [17]3 years ago

7 0

Probably a plane unless there's more to the question

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60.3 round to the hundredths

Arte-miy333 [17]

Answer:

60.30

Step-by-step explanation:

Rounded to the nearest 0.01 or the Hundredths Place.

3 0

3 years ago

You spin a spinner numbered 1 to 9, and roll a dice numbered 1 to 6. What is the probability of the compound event "getting an e

inna [77]

Answer:

2/27

Step-by-step explanation:

Probability to get an even number on a spinner is 4/9.

Probability of getting a 5 on a die is 1/6.

4/9*1/6=4/54=2/27

3 0

3 years ago

Beinggreat78 please answer fast

NARA [144]

Answer:

Option B, 24 feet

Step-by-step explanation:

<u>Step 1: Determine the perimeter</u>

To find how much fence we will need to go around the garden means that we need to find the perimeter. In order to find the perimeter we need to add up all of the sides which we can do using the formula below.

$P = 2(w + l)$

$P = 2(5\ ft + 7\ ft)$

$P = 2(12\ ft)$

$P = 24\ ft$

Answer: Option B, 24 feet

4 0

2 years ago

(a) Find the equation of the normal to the hyperbola x = 4t, y = 4/t at the point (8,2).

gtnhenbr [62]

The slope of the tangent line to the curve at (8, 2) is given by the derivative $\frac{dy}{dx}$ at that point. By the chain rule,

$\dfrac{dy}{dx} = \dfrac{dy}{dt} \times \dfrac{dt}{dx} = \dfrac{\frac{dy}{dt}}{\frac{dx}{dt}}$

Differentiate the given parametric equations with respect to $t$ :

$x = 4t \implies \dfrac{dx}{dt} = 4$

$y = \dfrac4t \implies \dfrac{dy}{dt} = -\dfrac4{t^2}$

Then

$\dfrac{dy}{dx} = \dfrac{-\frac4{t^2}}4 = -\dfrac1{t^2}$

We have $x=8$ and $y=2$ when $t=2$ , so the slope at the given point is $\frac{dy}{dx} = -\frac14$ .

The normal line to the same point is perpendicular to the tangent line, so its slope is +4. Then using the point-slope formula for a line, the normal line has equation

$y - 2 = 4 (x - 8) \implies \boxed{y = 4x - 30}$