How many solutions does 3x+2y=8; 4x+3y=1 have

PLEASE HELP!

Wittaler [7]

Answer:

See below

Step-by-step explanation:

Use the formulae directly

For a cone, with base radius = r and height = h, here are the related formula

$\textrm{Slant height l} = \sqrt{r^2 + h^2}$ (1)

$\textrm{Lateral surface area} = \pi r l$

$\textrm {Base area} = \pi r^2$

$\textrm { Total Surface Area SA} = \textrm{Base Area + Lateral Area} = \pi r^2 + \pi rl = \pi r(r + l)$ (2)

$\textrm{Volume V = } (1/3) \pi r^2h$ (3)

Therefore directly plugging in the numbers in the above equations:

Note:

l = slant height in cm
SA = total surface area in sqcm
V = Volume in cubic cm

Figure(a)

r = 4, h = 8

$\textrm{l} = \sqrt{4^2 + 8^2} =\sqrt{80} = 8.944 \\\textrm{SA} = 4\pi(4 + 8.944) = 4\pi(12.944) = 162.66\\\textrm{V} = (1/3)\pi(4^2)(8) = 134.04$

Figure(b)

r = 7, h =15

$\textrm{l} = \sqrt{7^2 + 15^2} =\sqrt{274} = 16.55$

$\textrm{SA} = 7\pi(7 + 16.55) = 517.89$

Figure (c)

r = 5, l = 8

$h = \sqrt{l^2 - r^2} = \sqrt{8^2 - 5^2} = \sqrt{39} = 6.245\\SA = \textrm{SA} = 5\pi(5 + 8) = 204.2\\V = (1/3)\pi(5^2)(6.245) = 163.5$

6 0

2 years ago

I will give brainiest to whoever answers correctly !!

Helen [10]

Answer:

$1

Step-by-step explanation:

7 0

3 years ago

Which set represents the same relation as the table below?

erik [133]

Answer:

A) { (0, 5), (4, 2), (6, 9), (9, 10)}

Step-by-step explanation:

From the table values, we can write the relation in coordinate form (x, f(x)).

The first value is x and the second value is f(x) in the coordinate.

Let's write the coordinates from the given table.

(0, 5), (4, 2), (6, 9), (9, 10)

Let's write the above coordinates in set form.

{ (0, 5), (4, 2), (6, 9), (9, 10)}

The set A is same relation as the given table.

Answer: A) { (0, 5), (4, 2), (6, 9), (9, 10)}

Hope you will understand the concept.

Thank you.

5 0

3 years ago

Read 2 more answers

PLEASE HELP ASAP! NO SCAMS ALLOWED!

Kitty [74]

Answer:

Step-by-step explanation:

I used calculus for this, as I'm not sure there's any other way to do it and to do it as easily. This is the volume of a solid found by using the disk method of rotation:

$V=\pi\int\limits^a_b {[R(x)]^2-[r(x)]^2} \, dx$

where R(x) is the outer shell of the solid and r(x) is the space inbetween the solid and the axis of rotation. There is no space between the solid and the axis of rotation, so r(x) = 0. R(x) is the height of the solid which is 3. Therefore, f(x) = 3 and that's the function we put into the formula with the lower bound of 3 and the upper bound of 5:

$V=\pi\int\limits^5_3 {3^2}-0^2 \, dx$ and

$V-\pi\int\limits^5_3 {9} \, dx$ and integrating:

$V=\pi(9x\left \} {{5} \atop 3}} \right.$ and using the First Fundamental Theorem of Calculus:

V = π(9(5) - 9(3)) and

V = π(45 - 27) so

V = 18π units cubed or in decimal format,

V = 56.549 units cubed

6 0

3 years ago

(a^3+14a^2+33a-20)\(a+4)

Oksi-84 [34.3K]

Perhaps you meant <span>(a^3+14a^2+33a-20) / (a+4), for division by (a+4).

Do you know synthetic division? If so, that'd be a great way to accomplish this division. Assume that (a+4) is a factor of </span>a^3+14a^2+33a-20; then assume that -4 is the corresponding root of a^3+14a^2+33a-20.

Perform synth. div. If there is no remainder, then you'll know that (a+4) is a factor and will also have the quoitient.

-4 / 1 14 33 -20
___ -4_-40 28___________
1 10 -7 8

Here the remainder is not zero; it's 8. However, we now know that the quotient is 1a^2 + 10a - 7 with a remainder of 8.

8 0

3 years ago