Find the volume of a cone with a base diameter of 12 ft and a height of 9 ft.
Write the exact volume in terms of pi and be sure to include the correct unit in your answer.
9 ft
12 ft

Answer:

\(\boxed{\sf{r < -1}}\)

Step-by-step explanation:

Isolate the term of r from one side of the equation.

-5+5r<-10

First, add by 5 from both sides.

-5+5r+5<-10+5

Solve.

-10+5=-5

Rewrite the problem down.

5r<-5

Then, you divide by 5 from both sides.

5r/5<-5/5

Solve.

Divide the numbers goes from left to right.

-5/5=-1

r<-1

Therefore, the final answer is r<-1.

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

x = 1/6

Step-by-step explanation:

Answer:

La suma de los cuatro ángulos de un cuadrilátero es igual a 360 grados. Entonces, si dos ángulos miden 60° y 80°, la suma de esos ángulos es de 140 grados.

Los otros dos ángulos están en una proporción de 2:9, lo que significa que la suma de sus medidas es de 11 partes. Si representamos las medidas de estos ángulos como 2x y 9x, respectivamente, entonces podemos escribir la ecuación:

2x + 9x = 11 partes

11x = 11 partes

x = 1 parte

Por lo tanto, el ángulo más pequeño mide 2x = 2 partes o 2 × 1 = 2 grados, y el ángulo más grande mide 9x = 9 partes o 9 × 1 = 9 grados.

En resumen, los dos ángulos faltantes miden 2° y 9°.

Step-by-step explanation:

We can see here that matching the steps for constructing a congruent line segment to their pictures, we have:

Step 1 - Picture a

Step 2 - Picture b

Step 3 - Picture c

Step 4 - Picture c.

Any portion of a line with two ends and a set length is referred to as a line segment. It differs from a line that has neither a beginning nor an end and can be stretched in both directions.

The endpoints of a line segment can be used to define it. The portion of the line that begins at point A and finishes at point B, for instance, is known as the line segment AB.

A ruler or measuring tape can be used to determine the length of a line segment. The distance between two line segments' endpoints is the segment's length.

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Answer:

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

• divide each ratio by 2 to its simplest terms up to the lowest factor of 2:

\(→ \: { \tt{32 :24 }} \\ \\ → \: { \tt{16 : 12}} \\ \\ → \: { \tt{8 : 6}} \\ \\ → \: { \tt{4 : 3}}\)

Answer:

look up because i dont know

Step-by-step explanation:

There are 9,000 numbers that have 7 in the thousands of places and are less than 54,000.

Consider the possible digits in the hundreds, tens, and one's places.

Thousands of places: There is only one possibility, which is 7.

Hundreds place: Any digit from 0 to 9 is possible.

Tens place: Any digit from 0 to 9 is possible.

One place: Any digit from 0 to 9 is possible.

Since the number is less than 54,000, the digit in the hundreds place cannot be 5.

So, there are 9 possible digits (0 to 9, except 5) for the hundreds place, and 10 possible digits (0 to 9) for the tens and one's places.

So, the total number of such numbers is:

9 x 10 x 10 x 10 = 9,000

Therefore, there are 9,000 numbers that satisfy the given condition.

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Answer:

my answer -C

Step-by-step explanation:

White,Red,and Green.

Answer:

Step-by-step explanation:

water:cleaner = 12:1.5 = 8:1

Answer:

15 cups ??? i dont know tho pay attention in class

Step-by-step explanation:

.....

The graphs have been correctly dragged to the table to show the image of the triangle after it is reflected over the x-axis, the y-axis, and the line y = x.

By applying a reflection over the x-axis to the coordinates of this triangle, we have the following coordinates of the image triangle;

(x, y)                →      (x, -y)

(1, -3)             →      (1, -(-3)) = (1, 3)

(3, -2)             →      (3, -(-2)) = (3, 2)

(4, -5)             →      (4, -(-5)) = (4, 5)

By applying a reflection over the y-axis to the coordinates of this triangle, we have the following coordinates of the image triangle;

(x, y)                →      (-x, y)

(1, -3)             →        (-1, -3)

(3, -2)             →      (-3, -2)

(4, -5)             →      (-4, -5)

By applying a reflection over the line y = x to the coordinates of this triangle, we have the following coordinates of the image triangle;

(x, y)                →      (y, x)

(1, -3)             →        (-3, 1)

(3, -2)             →      (-2, 3)

(4, -5)             →      (-5, 4)

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Answer:

y=5

Step-by-step explanation:

Plugging in the two points.

(2,5). y=mx+b or 5=0 × 2+b, or solving for b: b=5-(0)(2). b=5.

(0,5). y=mx+b or 5=0 × 0+b, or solving for b: b=5-(0)(0). b=5.

Hence, equals to y=5

un punto en un gráfico de líneas es un valor específico que normalmente es un valor de entrada y salida (x)

\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\begin{cases} h=3\\ k=-10\\ \end{cases}\implies y=a(~~x-3~~)^2 + (-10)\hspace{4em}\textit{we also know that} \begin{cases} x=0\\ y=8 \end{cases} \\\\\\ 8=a(~~0-3~~)^2 + (-10)\implies 8=9a-10\implies 18=9a\implies \cfrac{18}{9}=a \\\\\\ 2=a\hspace{7em}y=2(~~x-3~~)^2 + (-10)\implies \boxed{y=2(x-3)^2-10}\)

Answer:

i didnt mean to answer this question

Step-by-step explanation:

Answer:

Step-by-step explanation:

Very interesting problem. Be thankful it is not a six sided dice.

Part A

1  1

1  2

1  3

1  4

2  1

2  2

2  3

2  4

3  1

3  2

3  3

3  4

4  1

4  2

4  3

4 4

Part B

There are 16 possible out comes

1   4

4  1

2  3

3  2

4 out of the 16 outcomes are possible

P(5) = 4/16 = 0.25

Part C

The theoretical out come would be 4 times

4/16 = 0.25

On a hundred rolls, you would expect to get 25 sets of doubles.

Answer:

The correct answers are:

a.

1  1   1  2    1  3    1  4    2  1    2  2    2  3    2  4

3  1   3  2   3  3    3  4    4  1   4  2    4  3    4  4

b.

4 possible outcomes!

c.

25 sets!

Step-by-step explanation:

a.

Try making a probability by using the counting principle method.

1  1   1  2    1  3    1  4    2  1    2  2    2  3    2  4

3  1   3  2   3  3    3  4    4  1   4  2    4  3    4  4

These numbers are the possible outcomes. Each 2 numbers stand for 1 outcome.

b.

16 possible outcomes

1   4    4  1    2  3    3  2

4/16 possible

P(5) = 4/16 = 0.25

c.

The theoretical outcome = 4 times

4/16 = 0.25

25 sets of rolls are expected to be rolled on the same number per 100 rolls.

I hope this helps! Have a good day ;)

Please mark this as brainliest please! I would appreciate it! :)

Original Equation:

2x + 5y = 0

Explanation:

The slope intercept form is y = mx + b, so first we have to get x onto the other side, to do that, we subtract 2x from both sides and end up getting:

5y =  - 2x

Now we divide both sides by 5 to isolate y

\(y = -\frac{2}{5} x\)

That's our equation!

(Hopefully that helps, and if you can later, please give me brainliest)

The sketch of the front elevation and the side elevation of the prism are added as an attachment

From the question, we have the following parameters that can be used in our computation:

The prism

Using the figure as a guide, we understand that:

The front elevation is a rectangle of 2m by 0.5m

While the side elevation is a rectangle merged with a trapezoid

Next, we draw the elevations (see attachment)

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Answer:

i think this correct

Step-by-step explanation:

3.24=(1+9.4/100) x

then x= 2.961 $

Answer:

Is this the full question?

Hi ^^

--------------------

A recipe calls for 3/4 cup of sugar and 2/3 cup of butter, so the sugar to butter ratio is  (3/4)/(2/3) = (3/4)(3/2) = 9/8.  This ratio implies that 1 cup of butter requires 9/8 cups of sugar.

 Since you use 1½ = 3/2 cups of butter, you will need

(3/2)(9/8) = 27/16 cups of sugar.

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anyways hope that helped, bye! <3

Answer:

y = 2^{x}

Step-by-step explanation:

Given the above data for x and y.

From the algebraic expression;

y = 2^{x}

We can deduce that the value of y is equal to two (2) raise to the power of x.

When x = 1, y = 2

y = 2^{x}

y = 2^{1}

y = 2

When x = 2, y = 4

y = 2^{x}

y = 2^{2}

y = 4

When x = 3, y = 8

y = 2^{x}

y = 2^{3}

y = 8

The above calculations can be used to determine the other values of y with respect to x.

Answer:

Exact form:

737/729  

Decimal Form:

1.01097393. . .  

Mixed Number Form:

1 8/729

In the quadratic equation y = a\(x^{2}\) + c ,the value of x = ± \(\sqrt \frac{y-c}{a}\)

A quadratic equation is any equation containing one term wherein the unknown is squared and no term wherein it's far raised to a higher power.

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, in which a and b are the coefficients, x is the variable, and c is the constant term.

To find the value of x

Assuming \(a\neq o\)

First, subtract c from both the sides to get:

\(y-c=ax^{2}\)

then, divide both sides by \(a\) and transpose to get:

\(x^{2} =\frac{y-c}{a}\)

So, \(x\) must be a square root of \(\frac{y-c}{a}\)  and we can deduce:

\(x=\) ± \(\sqrt \frac{y-c}{a}\)

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Answer:

Step-by-step explanation:

35 = x% of 70

35 = 1/2 of 70

x% = 50%

x = 50

Answer:

It would be answer choice D

Answer: 8

Step-by-step explanation:

The volume of the largest hemisphere that can be carved out of the wooden block is approximately 7.07 cubic meters.

To find the volume of the largest hemisphere that can be carved out of the given wooden block, we need to determine the radius of the hemisphere.

The largest hemisphere that can fit inside the wooden block will have its diameter equal to the smallest dimension of the block. In this case, the smallest dimension is 3 m (the height).

The radius (r) of the hemisphere is half of the diameter, so:

\(r = 3 m / 2\\r = 1.5 m\)

Now, we can calculate the volume (V) of the hemisphere using the formula:

\(V = (2/3) * \pi* r^3\\V = (2/3) * \pi* (1.5 m)^3\\V \approx (2/3) * \pi * 3.375 m^3\\V \approx 7.07 m^3\) (rounded to two decimal places)

So, the volume of the largest hemisphere that can be carved out of the wooden block is approximately 7.07 cubic meters.

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Answer:

Step-by-step explanation:

1) 2x + 246 = 360° (Vertically opposite and angle at a point)

2x = 360 - 246

2x = 114°

x = 114 / 2

x = 57°

3) Since <ABD is a right angle (i.e its sum is 90°)

<CBD = 90° - 75° = 15°

5) <1 = <2 (Vertically opposite angles are equal)

12x + 3 = 10x + 15

12x - 10x = 15 - 3

2x = 12

x = 6

Therefore,

<2 = 10(6) + 15

<2 = 75°

Answer:

Within the factors hindering expression in music, tempo is the most important number of factors such as your mood.

Step-by-step explanation:

If one wants to convey a message, they should try these:

a) Use real life

b) introduce symbolism

c) convey sensory disruption, e.t.c.

Hope these helps.