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3 years ago

Find the length of the missing side. If necessary, round to the nearest tenth.

1 answer:

4 0

The correct answer would be A. 21.5
a^2 + b^2 = c^2

so....
100 + 361 = c^2
The square root of 461 is 21.4709106 but you would round to 21.5

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Math math help ASAP

tiny-mole [99]

Answer:

103.67 in³

Step-by-step explanation:

given Volume of cone is 1/3 * π * r² * h

here given r = 6/2 = 3 , height = 11 inch

using the formula = 1/3 * π * 3² * 11

=103.67 in³ or 33π in³

7 0

2 years ago

Read 2 more answers

Give the largest interval over which the general solution is defined. (Think about the implications of any singular points. Ente

Leto [7]

Complete Question

The complete question is shown on the first uploaded image

Answer:

No singular point due to the exponent in the solution

The interval is $-\infty$

NONE

Step-by-step explanation:

From the question we are told that

$\frac{dy}{dx} = 9y$

The generally solution is mathematically represented as

$\frac{dy }{dx} = 9y$

=> $\frac{dy}{y} = 9dx$

integrating both sides

$\int\limits {\frac{ dy}{y} } \, = \int\limits {9} \, dx$

=> $lny = 9x + c$

=> $y = e^{9x +c }$

=> $y = e^{9x} e^{c}$

Here $e^c = C$

=> $y = C e^{9x}$

From the above equation we see that the domain for x has no singular point the interval is

$-\infty$

Also there is no transient term in the general solution obtained because as $x \to \infty$ there no case where $y \to 0$

7 0

3 years ago

Maria compared the slope of the function f(x)=(-6x-21) to the slope of the linear function that fits the values in the table bel

raketka [301]

Answer:

b. both functions have a negative slope

Step-by-step explanation:

The given function is

$f(x)=-6x-21$

This function is of the form $y=mx+b$ , where $m=-6$ is the slope and $b=-21$ is the y-intercept.

We can also determine the slope of the function in the table using any two points, say $(0,7)\:and\:(2,6)$ .

The slope formula is given by,

$m=\frac{y_2-y_1}{x_2-x_1}$ .

If $(x_1,y_1)=(0,7)\:and\:(x_2,y_2)=(2,6)$ , then,

$m=\frac{6-7}{2-0}$

$m=-\frac{1}{2}$ .

We can see that both functions have a negative slope.

The correct answer is B.

8 0

3 years ago

Two linear equations are shown. A coordinate grid with 2 lines. The first line is labeled y equals StartFraction one-third EndFr

Lorico [155]

Answer:

$(7,\frac{13}{3})$

Step-by-step explanation:

we have

The equation of the first line

$y=\frac{1}{3}x+2$ ------> equation A

The equation of the second line

$y=\frac{4}{3}x-5$ ------> equation B

Solve the system of equations by elimination

Multiply equation A by -4 both sides

$(-4)y=(-4)(\frac{1}{3}x+2)$

$-4y=-\frac{4}{3}x-8$ --------> equation C

Adds equation B and equation C

$y=\frac{4}{3}x-5\\-4y=-\frac{4}{3}x-8\\--------\\y-4y=-5-8\\-3y=-13\\y=\frac{13}{3}$

Find the value of x

substitute the value of y

$\frac{13}{3}=\frac{1}{3}x+2$

$\frac{1}{3}x=\frac{13}{3}-2$

Multiply by 3 both sides

$x=13-6$

$x=7$

therefore

The solution to the system of equations is the point $(7,\frac{13}{3})$

5 0

3 years ago

Read 2 more answers

What do you think the hypervolume of a hypercube is? Why?

gavmur [86]

Answer:

$a^4$ Where (a) is the side length of the hypercube

Step-by-step explanation:

A dimension can be simply defined as a direction in which matter can move it.

We live in a 3-dimensional world, matter can move in three basic directions. The formula for finding the volume of a cube is the following: ( $a^3$ ). In the second dimension, a flat world, the area for the volume of a square is as follows: ( $a^2$ ). However, a hypercube is a paradox, as it exists in 4-dimensions, thus it cannot exist in our world. However, scientists propose "String theory" which requires that matter can move in more directs than the (3) we know of in our world. In essence, there can be more than 3 dimensions. A hypercube is the 4-dimensional version of a cube. If it follows the area pattern that a square-object follows in all preceding dimensions then the area of a hypercube is ( $a^4$ ).

Bear in mind that the area patter for a square-object is generally the following:

$a^n$

Where (a) is the side length of the square-object

(n) is the dimension the object is in.

Please keep in mind, this answer was written in the June of 2021, as science keeps progressing and new discoveries are made, this theory can be disproven. Therefore, this answer might be considered correct now, but it can be proven incorrect in the future.

6 0

3 years ago