The volume of an eraser is 9.6cm cube Its height is 0.8cm find the area of it base

Answer:

steps below

Step-by-step explanation:

BD⊥AC    ∠ADB = ∠CDB = 90°

D is mid-point: AD = CD

BD = BD

ΔADB ≅ ΔCDB

AB = BC

Answer:

Step-by-step explanation:

BD is an altitude                            given

D is midpoint of AC                       given

BD ⊥ AC                                         an altitude is a perpendicular segment

                                                       from a vertex to the opposite side

AD = DC                                         because BD is a perpendicular bisector

BD = BD                                          reflexive property

∠ADB ≅ ∠CDB                               because BD ⊥ AC

ΔADB ≅ ΔCDB                              SAS

AB ≅BC                                          corresponding sides of congruent triangles

                                                        are congruent

Answer:

12 staples

Step-by-step explanation:

So the first thing we have to do is find the G.C.D (Greatest Common Denominator) between 21/4 and 7/16 which of course is 16 so your new fractions would be 84/16 and 7/16.

Now we have to divide both numbers I just used a fraction calculator for this but basically you multiply 84/16 by the reciprocal of 7/16 which is 16/7 and simplify which equals 12.

So it would take 12 staples to bind the booklet

The series to 10 term is

1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512

An equation that represents a sequence based on a rule is called a recurrence relation.

Finding the following term, which is dependent upon the prior phrase, is made easier (previous term). We can readily predict the following term in a series if we know the preceding term.

The term is predicted by multiplying the preceding term by 2

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Answer:

y=mx+b

Step-by-step explanation:

subtract -3-(-1)=slope

put the slope where it says m and then add the x next to it

And for b its -3 or -1

Answer:

when h(x) = 0, x = 7/3

Step-by-step explanation:

0 = 3x - 7

7 = 3x

7/3 = x

If a model a rocket is used to test materials that will be used to build the body of the actual rocket. The limitation of this model is: D. It is smaller than the actual rocket.

A model rocket is a scaled-down version of an actual rocket, which means it is smaller than the actual rocket. While a model rocket can be used to test materials that will be used to build the body of the actual rocket, there are limitations to using a model rocket for this purpose.

One of the main limitations is that the smaller size of the model rocket may not accurately represent the effects of a full-scale rocket launch on the materials.

In addition, there may be other differences between the model rocket and the actual rocket, such as the types of engines used, the payload carried, and the environmental conditions during the launch, which can also limit the applicability of the results obtained from testing the materials on the model rocket to the actual rocket.

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The length of the long and short side of Brian's fence in backyard in Detroit is 47 and 25 respectively.

Total length = length of two long sides + length of short side

Let the length of short side be x. So, length of long side = 2x - 3

Keep the values in formula

x + 2 (2x - 3) = 119

Performing multiplication on Left Hand Side

x + 4x - 6 = 119

Rewriting the equation

x + 4x = 119 + 6

Performing addition on both sides of equation

5x = 125

x = 125/5

Performing division on Right Hand Side

x = 25

Length of short side = 25

Length of long side = 2×25 - 3

Length of long side = 50 - 3

Length of long side = 47

Hence, the lengths are 25 and 47.

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The correct order of the given functions from lowest to the highest growth is: 0.5(0.3) < (n-2)! < 10 log (n+100) < 100(log²n + 3logn² + 0.0052√√n) < 3n+1 < n² < 1000 nlogn + 50 < (2²n) < In² n.

The given functions are listed below according to their order of growth from the lowest to the highest:

Therefore, the correct order of the given functions from lowest to the highest growth is:

0.5(0.3) < (n-2)! < 10 log (n+100) < 100(log²n + 3logn² + 0.0052√√n) < 3n+1 < n² < 1000 nlogn + 50 < (2²n) < In² n.

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No, Billy will not be able to reach the border before the cops arrive in 9 minutes.

To determine whether Billy can reach the border before the cops arrive, we need to calculate the time it would take him to cover the distance of 1.9 km.

Using the formula speed = distance / time, we can rearrange the formula to solve for time. Rearranging, we have time = distance / speed.

Given that Billy's speed is 13 km/h, we can calculate the time it would take him to cover 1.9 km.

time = 1.9 km / 13 km/h = 0.146 hours

To convert hours to minutes, we multiply by 60:

0.146 hours * 60 minutes/hour = 8.76 minutes

Therefore, it would take Billy approximately 8.76 minutes to reach the border. Since the cops are expected to arrive in 9 minutes, he would not be able to make it before they arrive.

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Answer:

Step-by-step explanation:

You can see 15.9 kilometers to the horizon

The definition of the function is given as

d = 3.56√h

The unit of this function is given as

Unit = kilometers

The eye level is given as

Eye level = 20 meters

This means that

h = 20

So, we are to calculate d(20)

To find the function d(20), we set the value of h in the equation d = 3.56√h

This is represented by

Calculate d(h), when h = 20

Substitute 20 for h in the equation d = 3.56√h

So, we have the following equation

d = 3.56√20

Evaluate the exponents

This gives

d = 3.56 * 4.47

Evaluate the products

This gives

d = 15.9132

Approximate

d = 15.9

Hence, the value of the function is 15.9 kilometers

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Answer: Let us call the centers of the four circles C1, C3, C5, and C7, respectively, where the subscript refers to the radius of the circle. Without loss of generality, we can assume that the tangent point A lies to the right of all the centers, as shown in the diagram below:

                 C7

          o-----------o

       C5 /             \ C3

         /               \

        o-----------------o

                C1

                |

                |

                | l

                |

                A

Let us first find the coordinates of the centers C1, C3, C5, and C7. Since all the circles are tangent to line l at point A, the centers must lie on the perpendicular bisector of the line segment joining A to the centers. Let us denote the distance from A to the center Cn by dn. Then, the coordinates of Cn are given by (an, dn), where an is the x-coordinate of point A.

Using the Pythagorean theorem, we can write the following equations relating the distances dn:

d1 = sqrt((d3 - 2)^2 - 1)

d3 = sqrt((d5 - 4)^2 - 9)

d5 = sqrt((d7 - 6)^2 - 25)

We can solve these equations to obtain:

d1 = sqrt(16 - (d7 - 6)^2)

d3 = sqrt(4 - (d7 - 6)^2)

d5 = sqrt(1 - (d7 - 6)^2)

Now, let us consider the region S that lies inside exactly one of the four circles. This region is bounded by the circle of radius 1 centered at C1, the circle of radius 3 centered at C3, the circle of radius 5 centered at C5, and the circle of radius 7 centered at C7. Since the circles are all tangent to line l at point A, the boundary of region S must pass through point A.

The maximum possible area of region S occurs when the boundary passes through the centers of the two largest circles, C5 and C7. To see why, imagine sliding the circle of radius 1 along line l until it is tangent to the circle of radius 3 at point B. This increases the area of region S, since it adds more points to the interior of the circle of radius 1 without removing any points from the interior of the other circles. Similarly, sliding the circle of radius 5 along line l until it is tangent to the circle of radius 7 at point C also increases the area of region S. Therefore, the boundary of region S must pass through points B and C.

Using the coordinates we obtained earlier, we can find the x-coordinates of points B and C as follows:

x_B = a - 2 - sqrt(9 - (d7 - 6)^2)

x_C = a + 6 + sqrt(9 - (d7 - 6)^2)

To maximize the area of region S, we want to maximize the distance BC. Using the distance formula, we have:

BC^2 = (x_C - x_B)^2 + (d5 - d3)^2

Substituting the expressions we derived earlier for d3 and d5, we get:

BC^2 = 32 - 2(d7 - 6)sqrt(9 - (d7 - 6)^2)

To maximize BC^2, we need to maximize the expression inside the square root. Let y = d7 - 6. Then, we want to maximize:

f(y) = 9y^2 - y^4

Taking the derivative of f(y) with respect to y and setting it equal to zero, we get:

f'(y) = 18y - 4y^3 = 0

This equation has three solutions: y = 0, y = sqrt(6)/2, and y = -sqrt(6)/2. The only solution that gives a maximum value of BC^2 is y = sqrt(6)/2, which corresponds to d7 = 6 + sqrt(6)/2.

Substituting this value of d7 into our expressions for d1, d3, and d5, we obtain:

d1 = sqrt(16 - (sqrt(6)/2)^2) = sqrt(55/2)

d3 = sqrt(4 - (sqrt(6)/2)^2) = sqrt(19/2)

d5 = sqrt(1 - (sqrt(6)/2)^2) = sqrt(5/2)

Using these values, we can compute the coordinates of points B and C as follows:

x_B = a - 2 - sqrt(9 - (sqrt(6)/2)^2) = a - 2 - sqrt(55)/2

x_C = a + 6 + sqrt(9 - (sqrt(6)/2)^2) = a + 6 + sqrt(55)/2

The distance between points B and C is then:

BC = |x_C - x_B| = 8 + sqrt(55)

Finally, the area of region S is given by:

Area(S) = Area(circle of radius 5 centered at C5) - Area(circle of radius 7 centered at C7)

= pi(5^2) - pi(7^2)

= 25pi - 49pi

= -24pi

Since the area of region S cannot be negative, the maximum possible area is zero. This means that there is no point that lies inside exactly one of the four circles. In other words, any point that lies inside one of the circles must also lie inside at least one of the other circles.

Step-by-step explanation:

Answer:

dive by 5 take 20 if 4×5 give u 20 the 20/4 will give you 5

Answer:

C) The third option. To find the y intercept move vertically, to find the slope, y2-y1/x2-x1

Step-by-step explanation:

Considering the curve x³y + y³ = sin y - x, the final i is;\(\frac{dy}{dx} = \frac{-2x}{3y^2 - cos(y)} \div (x^3 - cos(y))\)

Implicit differentiation is a technique used to differentiate equations that are not explicitly expressed in terms of one variable. It is particularly useful when you have an equation that defines a relationship between two or more variables, and you want to find the derivatives of those variables with respect to each other.

To find dy/dx for the curve x³y + y³ = sin y - x², the implicit differentiation will be used which involves differentiating both sides of the equation with respect to x.

It is expressed as follows;

\(\frac{d}{dx} x^3y + \frac{d}{dx} y^3 = \frac{d}{dx} sin(y) - \frac{d}{dx} x^2\)

Then we'll differentiate each term:

For the first term, x^3y, we'll use the product rule

\(\frac{d}{dx} x^3y = 3x^2y + x^3 \frac{dy}{dx}\)

For the second term, y^3, we'll also use the chain rule

\(\frac{d}{dx} y^3 = 3y^2 \frac{dy}{dx}\)

For the third term, sin(y), we'll again use the chain rule

\(\frac{d}{dx} sin(y) = cos(y) \frac{dy}{dx}\)

For the fourth term, x², we'll use the power rule

\(\frac{d}{dx} x^2 = 2x\)

Substituting these expressions back into the original equation, we get:

3x²y + x³(dy/dx) + 3y²(dy/dx) = cos(y)(dy/dx) - 2x

Simplifying the equation:3x²y + x³(dy/dx) + 3y²(dy/dx) - cos(y)(dy/dx) = -2x

Dividing both sides by 3y² - cos(y), we get:(x³ - cos(y))(dy/dx) = -2x / (3y² - cos(y))

Hence, the final answer is;\(\frac{dy}{dx} = \frac{-2x}{3y^2 - cos(y)} \div (x^3 - cos(y))\)

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Answer:

John and Shawn spent the same number of hours after \(4\) weeks.

Step-by-step explanation:

Number of hours already completed by John to his volunteer project \(=40\) hours

Number of hours spent by John each week to his volunteer project \(=5\) hours

Number of hours spent by Shawn each week to his volunteer project \(=15\) hours

Suppose John and Shawn spent the same number of hours after \(x\) weeks.

Therefore,

\(40+5x=15x\)

\(40=15x-5x\\40=10x\)

\(x=4\) weeks.

So,

John and Shawn spent the same number of hours after \(4\) weeks.

Answer:

a. 9+15+12=34ft

b.10×2+40×2=100cm

Step-by-step explanation:

For A add all the numbers and for B add 10 twice and 40 twice because there arent any numbers there.

Answer:

Exterior angle.

Step-by-step explanation:

by my analysis

if hey said triangle XYZ

it should mean each exterior angle is named either X, Y, or Z.

so angle Y should be an exterior angle (outside angle).

but the angle formed by X and Z will be an interior angle (inside angle).

Hope this helps .

Answer:

The answer is C: Remote Interior Angle

Step-by-step explanation:

Took the Test.

Answer:

No, only for right angle Δ

Step-by-step explanation:

It is only used for right angle triangles

The mood of the categorical syllogism in example 2 is AIO.

In your example, we have the following premises and conclusion:

1. Major Premise: No dogmatists are scholars who encourage free thinking.
2. Minor Premise: Some theologians are scholars who encourage free thinking.
3. Conclusion: Some theologians are not dogmatists.

The major premise in example 2 is an A proposition (All S are not P). The minor premise in example 2 is an I proposition (Some S are P). The conclusion in example 2 is an O proposition (Some S are not P).

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The measurement of angle C in the given figure is 118°.

Given that are two lines intersecting at a point making 4 angles, 118°, C, D and B.

B and D are opposite to each other and C and 118° are opposite to each other.

We need to find the measurement of angle C.

To find the measurement of angle C, we can use the concept of vertical angles.

Vertical angles are a pair of non-adjacent angles formed when two lines intersect.

They are always congruent, meaning they have the same measure.

In this case, angle 118° and angle C are vertical angles. So, their measures are equal:

Angle C = 118°

Therefore, the measurement of angle C is 118°.

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\( - 5 + - 5 + - 5 \\ = - 5 - 5 - 5 \\ = - 15\)

Answer:

C (y<-2x+4)

Step-by-step explanation:

i use a math app and I just plugged in all the equations and that one worked

The ratio of dividends to the average number of common shares outstanding is known as the dividend yield. It is a measure of the return on an investment in the form of dividends received relative to the number of shares held.

To calculate the dividend yield, you need to divide the annual dividends per share by the average number of common shares outstanding during a specific period. The annual dividends per share can be obtained by dividing the total dividends paid by the number of outstanding shares. The average number of common shares outstanding can be calculated by adding the beginning and ending shares outstanding and dividing by 2.

For example, let's say a company paid total dividends of $10,000 and had 1,000 common shares outstanding at the beginning of the year and 1,500 shares at the end. The average number of common shares outstanding would be (1,000 + 1,500) / 2 = 1,250. If the annual dividends per share is $2, the dividend yield would be $2 / 1,250 = 0.0016 or 0.16%.

In summary, the ratio of dividends to the average number of common shares outstanding is the dividend yield, which measures the return on an investment in terms of dividends received per share held.

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Answer:

sor

Step-by-step explanation:

Answer:

maths/hindi

Step-by-step explanation: