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babunello [35]
3 years ago
8

Can someone help me so i can do the rest like this on my own/

Mathematics
1 answer:
stepladder [879]3 years ago
5 0
-- XY is a "diameter" of the circle. 

-- A diameter is any straight line inside the circle that goes
through the center and touches the curvy part twice.

-- Every diameter of the same circle has the same length.

-- The distance around every circle is (its diameter) multiplied by (pi).


-- Half of the diameter is called the "radius" of the circle.
A radius is any straight line inside the circle that goes between
the center and the curvy part.

-- The area of every circle is  (its radius, squared) times (pi).

-- 'Pi'  ( π )  is a number.  It's a decimal that keeps going forever
and never ends, so you can never write it exactly with numbers.

-- Pi is roughly 3.14 , and if you use 3.14 whenever you need pi,
then your answers will be about  0.05%  too small. 

That's very close.  When you turn in an answer that's only
0.05% wrong, the teacher knows that you know how to solve
the problem, and that's way more important than the answer.  

For the circle in your picture, the diameter is 17in, the radius
is 8.5in, and the area must be  (pi) (8.5)² square inches.
You can go ahead and work that out.
You might be interested in
Select the correct answer.
natulia [17]

Answer:

A.

The y-intercept of m is less than the y-intercept of n.

Step-by-step explanation:

y-intercept of a function:

The y-intercept of a function is the value of y when x = 0

Function n represents a cubic function that passes through the points (-1,0) and (0,2).

When x = 0, y = 2, and thus, the y-intercept is y = 2.

Function m:

When x = 0, y = -6, and thus, the y-intercept is y = -6, which is a smaller number than 2, so the y-intercept of m is less than the y-intercept of n, and the correct answer is given by option A.

4 0
3 years ago
Grace sureyed 60 random students in her school.Of these 14 said they enjoy watching Dancing with the star.A total of 570 student
Amiraneli [1.4K]
I think it is 133 students that like Dancing with the stars
4 0
3 years ago
The length plus the width of a rectangle is 10. Let x represent the length. The equation for the area y of the
yuradex [85]

Answer:

length of rectangle = 5

width of rectangle = 5

Area of rectangle = 25

Step-by-step explanation:

Since the length of the rectangle is "x", and the value of the area is given by the product of the length "x" times the width "10-x", indeed, the area "y" of the rectangle is given by the equation:

y=x\,(10-x)=10x-x^2

Now, they tell us that the area of the rectangle is such that coincides with the maximum (vertex) of the parabola this quadratic expression represents. So in order to find the dimensions of the rectangle and therefore its area, we find the x-coordinate for the vertex, and from it, the y-coordinate of the vertex, which is the rectangle's actual area.

Recall that the formula for the x of the vertex of a quadratic of the form :

y=ax^2+bx+c

is given by the formula:

x_{vertex}=-\frac{b}{2\,a}

which in our case gives:

x_{vertex}=-\frac{b}{2\,a}\\x_{vertex}=-\frac{10}{2\,(-1)}\\x_{vertex}=5

Therefore, the length of the rectangle is 5, and its width (10-x) is also 5.

The area of the rectangle is therefore the product of these two values: 5 * 5 = 25

Which should coincide with the value we obtain when we replace x by 5 in the area formula:

y=10x-x^2\\y=50-(5)^2\\y=50-25\\y=25

8 0
3 years ago
Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x, y) = 4y sqrt (x) , (4, 5) max
liubo4ka [24]

Answer:

Remember that the maximum rate of change of f at a point u is the length of the of the gradient vector evaluate in u, and the direction in which it occurs is in direction of the gradient vector evaluate in u.

The gradient vector of f is

\triangledown f(x,y)=(\frac{\partial f}{\partial x},\frac{\partial f}{\partial y})=(2yx^{-\frac{1}{2}}, 4\sqrt x)

Then, the maximum rate of change is|\triangledown f(4,5)|=|(2*5*4^{-\frac{1}{2}}, 4\sqrt 4)|=|(5,8)|=\sqrt{5^2+8^2}=\sqrt89 in the direction of (5,8).

4 0
3 years ago
Average Inventory The Yasuko Okada Fragrance Company (YOFC) receives a shipment of 400 cases of specialty perfume early Monday m
Ksenya-84 [330]

Answer:

Step-by-step explanation:

At the end of any given business day, CFFC has 400-80t cases of perfume on hand, where t = 1 represents Monday, t = 2 represents Tuesday and so on. The inventory becomes nil on Friday evening. So,

The values of a and b are

a = 0

b = 5

Using the formular for average value, we have the average value as

\frac{1}{5-0}\int\limits^5_0 {(400-80t)}dt\\\\=\frac{1}{5}(400t-\frac{80t^2}{2})\limits^5_0\\\\=\frac{1}{5}(400t-40t^2)\limits^5_0\\\\=\frac{1}{5}(2000-1000)\\\\=200

Average inventory is 200 cases

8 0
3 years ago
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