Consider 2 cylinders. The volume of these two cylinders are. If another cross section is taken at a different height, the areas of the cross sections will be

If the equation [tex]sin(40)=\frac{b}{20}[/tex] can be used to determine the length of segment AC, then the length of AC is 12.85 units

Given,

The equation,

sin 40 = [tex]\frac{b}{20}[/tex]

We know,

According to trigonometric equation

sin θ= Opposite side / Hypotenuse.

Length of the segment AC = b

Then,

sin 40 = [tex]\frac{b}{20}[/tex]

b= sin 40 × 20

b= 12.85 units

Hence, if the equation [tex]sin(40)=\frac{b}{20}[/tex] can be used to determine the length of segment AC, then the length of AC is 12.85 units

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Answer:

7.5 inches

Step-by-step explanation:

15 ft long and 10 ft wide becomes 3/2 when converted into a ratio

we now have 3/2 and five inches

3 is 1.5*2

5*1.5 is 7.5

Answer:

7.5in

Step-by-step explanation:

If the original room's dimensions are (15ft x 10ft). Then the new scaled-down version is (?ft x 5in) we can set up a ratio of 10/5 = 2 to find that the scale from the room to the drawing is being shrunk by a factor of 2. So if you take 15/2 you will get your final answer of the new length of 7.5in!

Answer:

270

Step-by-step explanation:

One turn would put you in quadrant 2 and would be 90.  A second turn would put you in quadrant 3 and that would be 180.  A third turn would put you in quadrant 4 and that would be 270.  I know that it is hard to see what I mean by a turn.  It would be if you had a piece of tracing paper with the figure drawn on it and you turn the paper at the origin so that the lines at the corners would like up, each turn would be 90 more degrees.

Answer:

in one bouquet there are 3 red so in two bouquets there must be 6

Answer:

RA = RB because the base angels of isosceles are equal and their measurement are equal too

Step-by-step explanation:

angle RAB=180(sum of angels of a triangle)

180/2=90

90/3=30

Angle R= 90

Angle A=30

Angle B= 30

So,It is proved that RA=RB

I tried my best to answer hope it is accurate.

Step-by-step explanation:

2100-(580+755)

2100-1335

=835

Answer=

January=580

February=755

January+February=

580+755=1335

March=2100-1335

=765

so March is 765 reams

January+February+March

580+755+765=2100reams

Answer:

Approximately ≈

Step-by-step explanation:

Answer:

approximately equal to
or
Approximate equality

Answer: 2400 miles

Step-by-step explanation:

Round;

256 to 300

500 to 500

296 to 300

1,298 to 1,300

Add; 300 + 300 + 500 + 1,300 to get your 2,400 miles.

Answer:

The answer is A. –2 to –1

Step-by-step explanation:

Answer: A on edge

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

The direction of the vector v in standard position is approximately 253.301°.

Vectors in rectangular form present the change of each of the two variables parallel to orthogonal axes. Each point is described by the following definition:

v = (Δx, Δy)                         (1)

And the direction of a vector is equal to this inverse trigonometric function:

θ = tan⁻¹ (Δy / Δx)              (2)

If we know that Δx = - 3 and Δy = - 10, then the direction of the vector is:

θ = tan⁻¹ (- 10 / - 3)

θ = tan⁻¹ (10 / 3)

θ ≈ 253.301°

The direction of the vector v in standard position is approximately 253.301°.

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f(a)= 2000a +155000 is a linear function that describes the value of the building over time, if a is the age of the apartment building

The owners of an apartment building bought it new and then 5 years later sold it for $165000. They calculated that the building appreciated $2000 per year while they owned it.

we have to find  a linear function that describes the value of the building over time, if a is the age of the apartment building

write a linear function is in slope-intercept form:

y= mx+b

Here, x is the independent variable, and y is the dependent variable. Also, the slope of the line, m, represents some kind of constant rate. Finally, b, the y-intercept represents some sort of starting value for our dependent variable.

165000= $2000*5+b

$165000= $10000+b

$155000=b

f(a)=2000a+155000

therefore f(a)= 2000a +155000 is a linear function that describes the value of the building over time, if a is the age of the apartment building

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Answer:

The answer is True

Step-by-step explanation:

In the substraction, if you reduce or increase the substrahend by a number, the result is the same number less or more

Answer:80

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

its just 80

2(6m+12)=180

12m+24=180

12m=156

m=13

Answer: yes i get it

Step-by-step explanation:

The ratio of height to perimeter of mural is 19:67.

The perimeter of mural will be calculated by the formula -

Perimeter = 2 × (length + breadth)

So, finding the perimeter using the mentioned formula. Keep the values of length and breadth in formula to calculate the perimeter of mural.

Perimeter = 2 × (145 + 190)

Performing addition of values in bracket

Perimeter = 2 × 335

Performing multiplication

Perimeter = 670 feet

Ratio = Height : Perimeter

Ratio = 190 : 670

Cancelling zero to find the ratio

Ratio = 19 : 67

Hence, the ratio of the height to the perimeter of this mural is 19:67.

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Answer:

2.62 x 10^16

Step-by-step explanation:

Let look at the numerator:

(3.1 x 10^6)(6.97 x 10^4)

= (3.1 x 6.97) x 10^(6+4)

= 21.607 x 10^10

So  21.607 x 10^10

     _______________

       8.245 x 10^-6

= (21.607/8.245) x 10^(10 - -6)

= 2.62 x 10^(10 + 6)

= 2.62 x 10^16

I hope this helps

Answer:

===================

Use the given numbers and formula to calculate the area:

Answer: (-∞, ∞)

Step-by-step explanation:

|2x+5|+3 can't equal 0. The denominator can't equal 0.

|2x+5|+3[tex]\neq[/tex]0

|2x+5|[tex]\neq[/tex]-3 ==> Absolute value functions can't be negative, so the denominator will never equal 0.

Hence, domain is x equals all real numbers: (-∞, ∞)

Answer:

y = -8

Step-by-step explanation:

line x = 8 is a vertical line so the line perpendicular has slope of 0

Using m = 0, x = -9, y = -8

y = mx + b

-8 = 0(-9) + b

b = -8

so y = -8

Step-by-step explanation:

y = 8, the one above is correct, we both are.

The solution to the linear equation are x = 2 - y/13 and y = 26 - 13x.

It is required to find the solution to the linear equation.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.

Given:

The equation is

13x + y = 26

We have to find the value of x and y .

According to given question we have

13x + y = 26

Subtract 13x from both sides we get,

y = 26 - 13x

Subtract y from both sides

13x = 26 - y

Divide through by 13

x = 2 - y/13

Therefore, the solution to the linear equation are x = 2 - y/13 and y = 26 - 13x.

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Answer: 6

:)

___________________________________

Answer:

[tex] \sf \large \: \frac{2}{27} [/tex]

Step-by-step explanation:

Let's solve this equation step by step

2/3/1/9

= 2/3/9/1

= 2/27

Answer:

[tex] \sqrt{54 {x}^{5}yw {}^{8} } \\ \sqrt{7 \times 8 {x}^{5}yw {}^{8} } \\ = 2x {}^{2} {w}^{4} \sqrt{14xy} [/tex]

Answer:

ok

Step-by-step explanation:

the answer is (2,4)

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A function that can represent the area that can be enclosed in terms of x is 40x-x².

Given that Eighty meters of fencing is available to enclose the rectangular garden of Mang Gustin.

Area is defined as the amount of space that can be used within a flat surface or the surface of a solid. Perimeter is defined as a continuous line that forms a boundary to define a two-dimensional shape.

Let the length of garden, l=x

and the given perimeter, p=80

As we know, perimeter of rectangle is P=2(l+b).

Now, we will substitute the values and find the value of b, we get

80=2(x+b)

Now, we will divide both sides by 2, we get

80/2=2(x+b)/2

40=x+b

Further, subtract x from both sides, we get

40-x=x+b-x

40-x=b

Now, we will find the area of rectangle by using the formula A=lb.

Substitute the values in above formula, we get

A=x(40-x)

A=40x-x²

Hence, the area that can be enclosed in terms of x is 40x-x².

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Answer:

4 and 5

Step-by-step explanation:

4^2=4xx4=16,

5^2=5xx5=25, and 19 is between those two squares

The equation, [tex] \frac{2 \cdot x + p}{q} = \frac{2 \cdot x + q}{p} [/tex], gives;

When p = q, the number of solutions is infinite.

When p ≠ q, the equation has no solution

The given equation is presented as follows;

[tex] \frac{2 \cdot x + p}{q} = \frac{2 \cdot x + q}{p} [/tex]

If p = q, we have;

[tex] \frac{2 \cdot x + q}{q} = \frac{2 \cdot x + q}{q} [/tex]

[tex] \frac{2 \cdot x + p}{p} = \frac{2 \cdot x + p}{p} [/tex]

Therefore, the equation has an infinite number of solutions when p = Q

If p ≠ q, and x = 3, we have;

[tex] \frac{2 \cdot x + p}{q} = \frac{2 \times 3 + p}{q} = \frac{6 + p}{q} [/tex]

[tex] \frac{2 \cdot x + q}{p} = \frac{6 + q}{p} [/tex]

[tex] \frac{6 + p}{q} [/tex] = \frac{6 + q}{p} [/tex]

6•p + p² = 6•q + q²

However;

p ≠ q

Therefore;

6•p ≠ 6•q

p² ≠ q²

6•p + p² ≠ 6•q + q²

Which gives;

[tex] \frac{6 + p}{q} \neq \frac{6 + q}{p} [/tex]

The equation is not defined when p ≠ q

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