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Setler79 [48]
3 years ago
8

Cone A has a diameter of 10 inches and Cone B has a diameter of 50 inches. If the cones are similar, find the volume ratio of Co

ne A to Cone B.
Mathematics
1 answer:
Tju [1.3M]3 years ago
8 0

Answer:

cone A has a diameter of 10 inches and Cone B has a diameter of 50 inches. If the cones are similar, find the volume ratio of Cone A to Cone B.

Step-by-step explanation:

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Raju bought seven notebooks of two hundred pages and five of hundred pages, for 107 rupees. Joseph bought five notebooks of two
olga nikolaevna [1]

Answer:

Large books = 11

Small books = 6

Step-by-step explanation:

7x + 5y = 107

7x = 107 - 5y

x = 107/7 - 5y/7

5x + 7y = 97

5 (107/7 - 5y/7) + 7y = 97

535/7 - 25y/7 + 7y = 97

535/7 + 24y/7 = 97

535 + 24y = 679

24y = 679 - 535

y = 144/24 = 6: So x =

7x + 5(6) = 107

7x = 107-30

x = 77-7 = 11

8 0
3 years ago
Which statements are true about the graph of the function f(x) = x2 – 8x + 5? Check all that apply.
statuscvo [17]

Answer:

A, D, E are true

Step-by-step explanation:

You have to complete the square to prove A.  Do this by first setting the function equal to 0, then moving the 5 to the other side.

x^2-8x=-5

Now we can complete the square.  Take half the linear term, square it, and add it to both sides.  Our linear term is 8 (from the -8x).  Half of 8 is 4, and 4 squared is 16.  So we add 16 to both sides.

(x^2-8x+16)=-5+16

We will do the addition on the right, no big deal.  On the left, however, what we have done in the process of completing the square is to create a perfect square binomial, which gives us the h coordinate of the vertex.  We will rewrite with that perfect square on the left and the addition done on the right,

(x-4)^2=11

Now we will move the 11 back over, which gives us the k coordinate of the vertex.

(x-4)^2-11=y

From this you can see that A is correct.

Also we can see that the vertex of this parabola is (4, -11), which is why B is NOT correct.

The axis of symmetry is also found in the h value.  This is, by definition, a positive x-squared parabola (opens upwards), so its axis of symmetry will be an "x = " equation.  In the case of this type of parabola, that "x = " will always be equal to the h value.  So the axis of symmetry is

x = 4, which is why C is NOT correct, either.

We can find the y-intercept of the function by going back to the standard form of the parabola (NOT the vertex form we found by completing the square) and sub in a 0 for x.  When we do that, and then solve for y, we find that when x = 0, y = 5.  So the y-intercept is (0, 5).

From this you can see that D is also correct.

To determine if the parabola has real solutions (meaning it will go through the x-axis twice), you can plug it into the quadratic formula to find these values of x.  I just plugged the formula into my graphing calculator and graphed it to see that it did, indeed, go through the x-axis twice.  Just so you know, the values of x where the function go through are (.6833752, 0) and (7.3166248, 0).  That's why you need the quadratic formula to find these values.

7 0
3 years ago
Factorize the following algebraic expression:
Hoochie [10]
X^2+16-38=0
find what 2 numbers multiply to get -38 and add to get 16
find factors of 38
2 times 19
there is no way to use common factor so use quadratic formula which is
x=\frac{ -b+\sqrt{b^2-4ac} }{2a} or x=\frac{ -b-\sqrt{b^2-4ac} }{2a}

ax^2+bx+c=0 subsitte
a=1
b=16
c=-38
subsitute
\frac{ -16+\sqrt{16^2-4(1)(-38)} }{2(1)}=\frac{ -16+\sqrt{256+152} }{2}= \frac{ -16+\sqrt{408} }{2}= \frac{ -16+2\sqrt{102} }{2}=-8+\sqrt{102}
so the answers for x are -8+\sqrt{102} and -8-\sqrt{102}  which are aprox -2.099504938362 and +18.099504938362
so it would be
(x-[-8+√102])(x+[8+√102])=0


6 0
3 years ago
What is 927 divided by 9
aliya0001 [1]

Answer:103

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Derek wants to construct a square box stall for each horse that is to be housed in a stable. He wants all of the box stalls to h
ale4655 [162]
The total area of the stable is 20,250 sq. ft.

Let n = total number of box stalls.

Each box stall is a square of length 9 ft.
Total area  = 9^2n = 81n ft².
Therefore
81n = 20250
n = 20250/81 = 250

Answer: 250 horses.

8 0
3 years ago
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