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Lunna [17]
3 years ago
8

Can someone help with this please please please have no time

Mathematics
1 answer:
DENIUS [597]3 years ago
5 0
7).  It is not possible.  It is impossible.
An "acute" triangle is a triangle in which all three angles are acute.
"Acute" means "less than 90 degrees".
A "right triangle" has a 90-degree angle in it, so all three
of its angles can't possibly be acute.

8).  Yes, Karen speaks the truth.
In an equilateral triangle, all three angles have
the same size, namely 60 degrees.
Studying this number astutely, you will notice that
it is less than 90 degrees.
Therefore, all three angles in an equilateral triangle are acute angles.
Therefore, every equilateral triangle is a cute one.

9).  An equilateral triangle is one with all three sides the same length.
An isosceles triangle is one with two sides the same length.
A scalene triangle is one with all three sides different lengths.
You can drawum.
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A water tank is in the shape of a cone.Its diameter is 50 meter and slant edge is also 50 meter.How much water it can store In i
Aneli [31]
To get the most accurate answer possible, we're going to have to go into some unsightly calculation, but bear with me here:

Assessing the situation:

Let's get a feel for the shape of the problem here: what step should we be aiming to get to by the end? We want to find out how long it will take, in minutes, for the tank to drain completely, given a drainage rate of 400 L/s. Let's name a few key variables we'll need to keep track of here:

V - the storage volume of our tank (in liters)
t - the amount of time it will take for the tank to drain (in minutes)

We're about ready to set up an expression using those variables, but first, we should address a subtlety: the question provides us with the drainage rate in liters per second. We want the answer expressed in liters per minute, so we'll have to make that conversion beforehand. Since one second is 1/60 of a minute, a drainage rate of 400 L/s becomes 400 · 60 = 24,000 L/min.

From here, we can set up our expression. We want to find out when the tank is completely drained - when the water volume is equal to 0. If we assume that it starts full with a water volume of V L, and we know that 24,000 L is drained - or subtracted - from that volume every minute, we can model our problem with the equation

V-24000t=0

To isolate t, we can take the following steps:

V-24000t=0\\ V=24000t\\ \frac{V}{24000}=t

So, all we need to do now to find t is find V. As it turns out, this is a pretty tall order. Let's begin:

Solving for V:

About units: all of our measurements for the cone-shaped tank have been provided for us in meters, which means that our calculations will produce a value for the volume in cubic meters. This is a problem, since our drainage rate is given to us in liters per second. To account for this, we should find the conversion rate between cubic meters and liters so we can use it to convert at the end.

It turns out that 1 cubic meter is equal to 1000 liters, which means that we'll need to multiply our result by 1000 to switch them to the correct units.

Down to business: We begin with the formula for the area of a cone,

V= \frac{1}{3}\pi r^2h

which is to say, 1/3 multiplied by the area of the circular base and the height of the cone. We don't know h yet, but we are given the diameter of the base: 50 m. To find the radius r, we divide that diameter in half to obtain r = 50/2 = 25 m. All that's left now is to find the height.

To find that, we'll use another piece of information we've been given: a slant edge of 50 m. Together with the height and the radius of the cone, we have a right triangle, with the slant edge as the hypotenuse and the height and radius as legs. Since we've been given the slant edge (50 m) and the radius (25 m), we can use the Pythagorean Theorem to solve for the height h:

h^2+25^2=50^2\\ h^2+625=2500\\ h^2=1875\\ h=\sqrt{1875}=\sqrt{625\cdot3}=25\sqrt{3}

With h=25\sqrt{3} and r=25, we're ready to solve for V:

V= \frac{1}{3} \pi(25)^2\cdot25\sqrt{3}\\ V= \frac{1}{3} \pi\cdot625\cdot25\sqrt{3}\\ V= \frac{1}{3} \pi\cdot15625\sqrt{3}\\\\ V= \frac{15625\sqrt{3}\pi}{3}

This gives us our volume in cubic meters. To convert it to liters, we multiply this monstrosity by 1000 to obtain:

\frac{15625\sqrt{3}\pi}{3}\cdot1000= \frac{15625000\sqrt{3}\pi}{3}

We're almost there.

Bringing it home:

Remember that formula for t we derived at the beginning? Let's revisit that. The number of minutes t that it will take for this tank to drain completely is:

t= \frac{V}{24000}

We have our V now, so let's do this:

t= \frac{\frac{15625000\sqrt{3}\pi}{3}}{24000} \\ t= \frac{15625000\sqrt{3}\pi}{3}\cdot \frac{1}{24000} \\ t=\frac{15625000\sqrt{3}\pi}{3\cdot24000}\\ t=\frac{15625\sqrt{3}\pi}{3\cdot24}\\ t=\frac{15625\sqrt{3}\pi}{72}\\ t\approx1180.86

So, it will take approximately 1180.86 minutes to completely drain the tank, which can hold approximately V= \frac{15625000\sqrt{3}\pi}{3}\approx 28340615.06 L of fluid.
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Angle A and angle B are complementary angles. If m∡a = 4x and m∡b = 3x +13, what is the measure of the smaller angle?
bagirrra123 [75]

Answer:

Step-by-step explanation:

Complementary angles mean two two angles sum with equal 90 degrees. Therefore you would need to create an equation to solve for the value of x.

4x+3x+13=90

-13 -13

7x=77

/7 /7

X=11

Now plug in the value of x.

A=4(11) B=3(11)+13

A=44. B=33+13

B=46

Angle a is the smaller angle and measures at 44°

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Which equation represents a linear function?
GuDViN [60]
The answer is y-5 = x-20
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A population numbers 19,000 organisms initially and grows by 4.8% each year. Suppose P represents population and t represents th
V125BC [204]

Answer:

The exponential model for the population is P(t) = 19000e^{0.048t}

Step-by-step explanation:

The exponential model for the population has the following format:

P(t) = P(0)e^{rt}

In which P(0) is the initial population and r is the growth rate, as a decimal.

A population numbers 19,000 organisms initially and grows by 4.8% each year.

This means that P(0) = 19000, r = 0.048

So

P(t) = P(0)e^{rt}

P(t) = 19000e^{0.048t}

The exponential model for the population is P(t) = 19000e^{0.048t}

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What polynomial must be added to x^2-2x+6 so that the sun is 3x^2+7x?
ollegr [7]
When you ask "what do you add to A to get B, you solve it by subtracting.
For example, what do you add to 5 to get 13?
Subtract 13 - 5 = 8
The answer is you add 8 to 5 to get 13.

Now you need to do the same with your polynomials.
What do you add to <span>x^2 - 2x + 6 to get 3x^2 + 7x?

To find the answer, subtract

(3x^2 + 7x</span>) - (x^2 - 2x + 6)
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