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4 years ago

Construct a square whose area is 36 cm²

Mathematics

1 answer:

Pani-rosa [81]4 years ago

4 0

Have each side be 6 cm
Squares have equal sides and 6^2 = 36

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(5,1) (3,2) Write the equation in point-slope form

SCORPION-xisa [38]

Answer: y-1=-1/2(x-5)

Step-by-step explanation:

$\frac{2-1}{3-5}$

-1/2 slope

y- $y_{1}$ =m( $x-x_{1}$ )

y-1=-1/2(x-5)

y-1=-1/2x +5/2

y=-1/2x+7/2

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3 years ago

A person trying to gain access to a bank vault must pass through a series of three security doors. If an attempt to pass through

ExtremeBDS [4]

Answer:

C) S = {F, PF, PPF, PPP}

Step-by-step explanation:

For this case, we know that a person is trying to gain access to a bank vault and needs to go through 3 security doors, and we know that if the person does not pass a door, then he/she has no other attempts. We denote P= Successful pass , F= Failed pass

And we are interested on the sample space, we need to remember that the sample is the set with all the possible values for an experiment.

For this case the person can fail at the 1,2 or 3 try

For the case that fails at the 1 try we have F

For the case that fails at the 2 try we have PF

For the case that fails at the 3 try we have PPF

And the last option is that the person not fails at any try and we have PPP

So then the sample space would be given by:

C) S = {F, PF, PPF, PPP}

6 0

3 years ago

The spherical balloon is inflated at the rate of 10 m³/sec. Find the rate at which the surface area is increasing when the radiu

rjkz [21]

The balloon has a volume $V$ dependent on its radius $r$ :

$V(r)=\dfrac43\pi r^3$

Differentiating with respect to time $t$ gives

$\dfrac{\mathrm dV}{\mathrm dt}=4\pi r^2\dfrac{\mathrm dr}{\mathrm dt}$

If the volume is increasing at a rate of 10 cubic m/s, then at the moment the radius is 3 m, it is increasing at a rate of

$10\dfrac{\mathrm m^3}{\mathrm s}=4\pi (3\,\mathrm m)^2\dfrac{\mathrm dr}{\mathrm dt}\implies\dfrac{\mathrm dr}{\mathrm dt}=\dfrac5{18\pi}\dfrac{\rm m}{\rm s}$

The surface area of the balloon is

$S(r)=4\pi r^2$

and differentiating gives

$\dfrac{\mathrm dS}{\mathrm dt}=8\pi r\dfrac{\mathrm dr}{\mathrm dt}$

so that at the moment the radius is 3 m, its area is increasing at a rate of

$\dfrac{\mathrm dS}{\mathrm dt}=8\pi(3\,\mathrm m)\left(\dfrac5{18\pi}\dfrac{\rm m}{\rm s}\right)=\dfrac{20}3\dfrac{\mathrm m^2}{\rm s}$

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3 years ago

What is the slope of the line through the points (–3, 5) and (4, 5)?

kicyunya [14]

The slope is 0.
Using the formula (y2-y1) / (x2-x1), we wee that when subtracting y2 from y1 we get zero in the numerator and 7 in the denominator.

0/7 = 0

Another way to determine this is by plotting the two points and seeing that they form a horizontal line, indicating that there is a slope of 0.

6 0

3 years ago

800.5x(2x20to the 6 power

olasank [31]

Answer:

800.5×(2×20)=32020

Step-by-step explanation:

800.5×40=32020

3 0

3 years ago