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andre [41]
3 years ago
5

Help!!! Picture Attached for the question

Mathematics
1 answer:
sweet [91]3 years ago
3 0
Hi!

Let's find the volume of the cylinder first. 
The equation to find the volume of a cylinder is
(r = radius, h = height)
v = πr²h

Fill in the values
v = π · 100² · 250
Solve
v = π · 10000 · 250
v =  π · 2500000
v = 7853981.63

Now since the cylinder is half-full, divide by 2. 
7853981.63/2 = 3926990.81

To find how many liters are in the container, divide
1 liter = 1000
3926990.81/1000 = 3926.99081
Round to the nearest liter
3927

There are 3927 liters in the cylindrical tank

Hope this helps! :)
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WILL MAKE BRAINLIEST!!! A Ferris wheel has a diameter of 220 feet and the center of the wheel is 125 feet above the ground. The
daser333 [38]
Since the radius of a circle is half its diameter, the radius of our Ferris wheel is r= \frac{220}{2} =110ft

Next, we are going to convert from revolutions per minute to degrees per second.
We know that t<span>he wheel makes a complete turn every 2 minutes, so it makes a complete turn in 120 seconds. Since there are 360° in a complete turn, we can set up our conversion factor:
</span>\frac{1*360}{120}=3 degrees per second 
<span>
Now, lets find the height:
</span>We know that <span>the passenger is at the lowest point on the wheel when t=0; since the wheel is 125 feet above the ground, at t=0 h=125. To find t at the top, we are going to take advantage of the fact that the wheel will turn 180° from the lowest point to the top and that it turns 3° every second:
</span>t= \frac{180}{3}
t=60
Notice that the height at the top is the diameter of the wheel plus the height above the ground, so h=220+125=345.

To model the situation we are going to use the cosine function, but notice that cos (\alpha) is 1 when \alpha =0 and -1 wen \alpha =180. Since we want the opposite, we are going to use negative cosine.
Notice that we want \alpha =180 when t=60, so we are going to use -cos(3t). Next, we are going to multiply our cosine by the radius of our wheel: -110cos(3t), and last but not least we are going to add the sum of the radius of the wheel plus the height above the ground:
h=110+125-110cos(3t)
h=225-110cos(3t)

Now that we have our height function lets check if everything is working:
<span>the passenger is at the lowest point at t=0; we also know that the lowest point is 125 feet above the ground, so lets evaluate our function at t=0:
</span>h=225-110cos(3t)
h=225-110cos(3*0)
h=125 feet 
So far so good. 
We also know that at t=60, our passenger is 345 feet above the ground, so lets evaluate our function at t=60 and check if coincides:
h=225-110cos(3t)
h=225-110cos(3*60)
h=225-110cos(180)
h=345feet 

We can conclude that cosine function that express the height h (in feet) of a passenger on the wheel as a function of time t (in minutes) ) is: h=225-110cos(3t)
8 0
3 years ago
HELP 40 POINTS
Tom [10]
Answer: the function g(x) has the smallest minimum y-value.


Explanation:


1) The function f(x) = 3x² + 12x + 16 is a parabola.


The vertex of the parabola is the minimum or maximum on the parabola.


If the parabola open down then the vertex is a maximum, and if the parabola open upward the vertex is a minimum.


The sign of the coefficient of the quadratic term tells whether the parabola opens upward or downward.


When such coefficient is positive, the parabola opens upward (so it has a minimum); when the coefficient is negative the parabola opens downward (so it has a maximum).


Here the coefficient is positive (3), which tells that the vertex of the parabola is a miimum.


Then, finding the minimum value of the function is done by finding the vertex.

I will change the form of the function to the vertex form by completing squares:

Given: 3x² + 12x + 16

Group: (3x² + 12x) + 16
Common factor: 3 [x² + 4x ] + 16
Complete squares: 3[ ( x² + 4x + 4) - 4] + 16
Factor the trinomial: 3 [(x + 2)² - 4] + 16
Distributive property: 3 (x + 2)² - 12 + 16
Combine like terms: 3 (x + 2)² + 4

That is the vertex form: A(x - h)² + k, whch means that the vertex is (h,k) = (-2, 4).


Then the minimum value is 4 (when x = - 2).


2) The othe function is <span>g(x)= 2 *sin(x-pi)
</span>

The sine function goes from -1 to + 1, so the minimum value of sin(x - pi) is - 1.


When you multiply by 2, you just increased the amplitude of the function and obtain the new minimum value is 2 (-1) = - 2


Comparing the two minima, you have 4 vs - 2, and so the function g(x) has the smallest minimum y-value.

7 0
3 years ago
You are purchasing 2 shirts at $15.00 each and 1 pair of jeans at $30.00 each. You have a coupon for 10% off. How much is the to
andrey2020 [161]
Answer: $54

The shirts in total cost $30 and with the additional $30 cost of the jeans the total price without a discount is $60. You then take the discount and turn it into a decimal (0.10) and multiply it by the $60 total. This gives you 6, which is the amount of money you take off, which means the total is $54
4 0
3 years ago
compare the method of using expanded form and the method of using place value to multiply a decimal and a whole number
Zigmanuir [339]
Unfortunately, multiplying and dividing decimals this effect does not occur. In some cases, the decimal number even complicates the operatsii.Dlya beginning, we introduce a new definition. We will meet him very often, and not only in this part of uroke.Znachaschaya - is all that is between the first and the last non-zero digit, including the ends. It's only about numbers, the decimal point is not uchityvaetsya.Tsifry included in the meaningful part of the number, are called significant figures. They may be repeated or even be zero.
3 0
3 years ago
3. Miley bought 4 oranges, 3 apples and 7 pears. What is the ratio
pogonyaev
7:14 or simplified 1:2 (use simplified)
Find total amount of fruit by adding
4+7+3=14
7 pears to 14 total fruits in ratio form is 7:14 which simplifies to 1:2
7 0
2 years ago
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