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OLga [1]
3 years ago
10

-5/3 is greater or less than square root of 3

Mathematics
1 answer:
inessss [21]3 years ago
3 0

Answer:

-5/3 is less than (<) square root of 3

Step-by-step explanation:

-5/3 = -1.66666...

square root of 3=1.73205080...

either way the square root would be greater because the answer cant be negative. And negative is always less then a positive.

Hope this helps!

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Please help with step by step. Thank you
o-na [289]

Answer:

  • SU = 2
  • PX = 6 2/3

Step-by-step explanation:

The product of distances to the circle along a secant is the same for all secants intersecting a given point.

a. Secants SW and QT intersect at U. Thus ...

  (UT)(UQ) = (US)(UW)

  (1.5)(4) = (SU)(3)

  SU = (4)(1.5)/3

  SU = 2

__

b. Secants PT and PX intersect at P. Thus ...

  (PQ)(PT) = (PR)(PX)

  PX = (PQ)(PT)/PR) = (2.5)(2.5 +4 +1.5)/3 = 20/3

  PX = 6 2/3

4 0
3 years ago
Micheal runs 8m, South then turns around and runs 12m North. what is the distance and displacement covered?
Dmitriy789 [7]

Answers:

  • Distance = 20 meters
  • Displacement = 4 meters North

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

Explanation:

To find the distance traveled, we add the two values to get 8+12 = 20 meters.

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

For the displacement, I recommend drawing a vertical number line. Mark the values 0, -8 and 4 on the number line. Going from 0 to -8 represents going 8 meters south. From -8, move up 12 units and you should arrive at 4 on the number line, which represents being 4 meters north of the original position 0. The displacement only cares about the start and end points, more specifically, the change between the two. The direction is also important for the displacement.

In other words, Michael started at 0, did a bunch of movements, and ended up at 4 on the number line. So we can simplify all those movements to one single movement of "move north 4 meters" to represent the displacement.

As you can see, it's possible to get a displacement of 0 meters, which is not the case for the distance traveled in the previous section.

8 0
2 years ago
A 10 foot ladder is leaning against a wall. Call x the distance from the top of the ladder to the ground, and call y the distanc
liq [111]

-5.3\:\text{ft/s}

Step-by-step explanation:

We start by applying the Pythagorean theorem to the ladder, with its length L as the hypotenuse:

L^2 = 100\:\text{ft}^2 = x^2 + y^2

where x is the vertical distance from the top of the ladder to the ground and y is the horizontal distance from the bottom of the ladder to the wall. Taking the derivative of the above expression with respect to time, we get

0 = 2x\dfrac{dx}{dt} + 2y\dfrac{dy}{dt}

Solving for dx/dt, we get

\dfrac{dx}{dt} = -\left(\dfrac{y}{x}\right)\dfrac{dy}{dt} = -\left(\dfrac{\sqrt{L^2 - x^2}}{x}\right)\dfrac{dy}{dt}

We know that

\dfrac{dy}{dt} = 4\:\text{ft/s}

when x = 6 ft. So the rate at which the top of the ladder is going down is

\dfrac{dx}{dt} = -\left(\dfrac{\sqrt{100\:\text{ft}^2 - (6\:\text{ft})^2}}{6\:\text{ft}}\right)(4\:\text{ft/s})

\:\:\:\:\:\:\:= -5.3\:\text{ft/s}

The negative sign means that the distance x is decreasing as y is increasing.

5 0
2 years ago
100 points help please
Gre4nikov [31]
The answer is b this is the
Correct answer
3 0
2 years ago
Read 2 more answers
Alex determines that there are 5 chocolate candies per cubic inch. If there are 150 chocolate candies in a jar, what is the volu
crimeas [40]

Answer:

30 Cubic Inches would be your answer.

Step-by-step explanation:


6 0
2 years ago
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