The side of an equilateral triangle has a length of ^^^ Find the perimeter of the triangle in terms of x.

To calculate the sum of the angle measures of a polygon with n sides we use the formula:

for a 205-gon

The sum of the angles of a 205-gon is 36540°

Answer:

x = 12

Step-by-step explanation:

3х+7 = 5x-17

-2x = -24

Answer:

9m*10m=

90m²

Step-by-step explanation:

Area is just multiplying length * width with rectangular shapes!

The two numbers required to solve the following problem are, 13.3 and 6.7

What is Derivative?

The derivative of a function of a real variable in mathematics describes the sensitivity of the function value to a change in its argument. Calculus relies heavily on derivatives.

Solution:

Let the ture positive numbers be x,(x,y>0)

x + y = 20 -------- Given

We need to maximise \(xy^{2}\)

x = 20 - y

f(y) = (20 - y)*\(y^{2}\)

f(y) = 20\(y^{2}\) - \(y^{3}\)

f'(y) = 0

On differentiating:

f'(y) = 40y - 3\(y^{2}\)

0 = 40 - 3y

y = 13.3

x = 6.7

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Answer: -x + 3

Step-by-step explanation: the explanation is in the picture hope this helps.

Answer:

2x-5+8-3x=-x+3

Step-by-step explanation:

The value of angle A when A and B are vertical opposite angles is 96°.

It should be noted that vertical angles are equal. Based on the information illustrated, it should be noted that angle A = 4x - 4 and angle B = 5x - 29.

Then, we will equate the equations and this will be:

Angle A = Angle B

4x - 4 = 5x - 29

Collect like terms

5x - 4x = -4 + 39

x = 25

Since angle A = 4x - 4 = 4(25) - 4 = 100 - 4 = 96°

Angle A is 96°.

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Answer:

A. 0

General Formulas and Concepts:

Perpendicular Lines always have 1 solution.

Parallel Lines always have no solution.

Same Lines always have infinite amount of solutions.

Step-by-step explanation:

We see from the graph given that the 2 lines are parallel. Since they are parallel, they will never intersect.

Therefore, we would have no solution, or 0 solutions, as our answer.

Step-by-step explanation:

The last two answers is correct

Answer:

4

Step-by-step explanation:

The answer to T - H is negative

Answer:

just divide

Step-by-step explanation:

and just use the formula

Use FOIL (First, Outer, Inner, Last) to compute (a-4)(b-4)

(a-4)(b-4) =
ab - 4a - 4b + 16

Answer:

16

Step-by-step explanation:

((8/4)+ 6) x 2
(2 + 6) x 2      Divided 8 by 4
8 x 2         Added 2 and 6
16          Multiply

The probability that a student who does not have a dog has a cat is 7/10.

Probability determines the chances that a random event would happen. The odds that the random event would happen lies between 0 and 1.

The probability that a student who does not have a dog has a cat = number of students that do not have a dog but has a cat / total number of students that do not own a dog

=  7/10.

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The equation has infinite solutions which lie on the graph of this equation.

We have the following equation -

y = 8 - 2x

We have to solve for the possible values of x and y for which the equation is satisfied.

The rearrangement of a mathematical equation is process of expressing a variable in a equation in terms of other variables, constants etc.

According to the question, we have the following equation -

y = 8 - 2x

Rearranging the equation -

y = - 2x + 8

Now, plot the equation on graph - (Graph is attached at the end)

All the coordinates on this line satisfy the equation → y = 8 - 2x.

Hence, the equation has infinite solutions which lie on the graph of this equation.

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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:

x = 3

Step-by-step explanation:

12x =  36

There is only one step

Divide both sides by 12

x = 3

Answer: what he said

Step-by-step explanation:..

The best description of the relationship between the y-axis and the line connecting F to F' after reflection over the y-axis is that they are perpendicular to each other.

When a triangle is reflected over the y-axis, its vertices swap their x-coordinates while keeping their y-coordinates the same. Let's consider the points F and F' on the reflected triangle.

The line connecting F to F' is the vertical line on the y-axis because the reflection over the y-axis does not change the y-coordinate. The y-axis itself is also a vertical line.

Since both the line connecting F to F' and the y-axis are vertical lines, they are perpendicular to each other. This is because perpendicular lines have slopes that are negative reciprocals of each other, and vertical lines have undefined slopes.

Therefore, the best description of the relationship between the y-axis and the line connecting F to F' after reflection over the y-axis is that they are perpendicular to each other.

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Answer:

because measure A and B are supplemantery ,since the measure of $m(A°)+m(B°)=180°$ , then 6z-48+4z+38=180° → 10z=190 → z=19 , therefore

m(B°)=4(19)+38 → m(B°)=114 ,and m(A°)=6(19)-48=66°

Answer:

The number is 40

Step-by-step explanation:

Let m represent the number

Four-thirds = 4 ÷ 3

Sum of a number and 8 = m + 8

4/3(m + 8)= 24

4( m + 8) = 24 × 3

4m + 32 = 72

4m = 72 - 32

4m = 40

m = 40/4

m = 10

Answer:

Distributive property

Answer:

Growth rate = 4.08%

Step-by-step explanation:

Rate of interest 'i' for the growth in the cost of the house,

i = \((\frac{\text{Final amount}}{\text{Initial amount}})^{\frac{1}{n}}-1\)

Here 'n' = Duration or time (in years)

i = \((\frac{560000}{320000})^{\frac{1}{14}}-1\)

i = \((\frac{7}{4})^{\frac{1}{14}}-1\)

i = 1.0408 - 1

i = 0.0408

i = 4.08%

Therefore, growth rate for this period is 4.08%.

The grocer makes a total of 31 packs of 6 baking potatoes, with the remaining amount of 9 potatoes left over.

To solve this problem, the first step is to subtract the number of individual potatoes (75) from the total number of baking potatoes (189). This leaves us with 114 baking potatoes. Next, we must divide the remaining amount potatoes (114) by the number of potatoes in a pack (6). The answer to this is 19, with a remainder of 4. The grocer can make 19 packs of 6 potatoes and has 4 potatoes left over. Finally, we must add the number of packs made (19) to the number of individual potatoes (75) to get the total number of packs (19+75=94). This means that the grocer makes a total of 31 packs of 6 baking potatoes, with the remaining 9 potatoes left over.

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The complete question: A grocer ha 189 baking potatoe. The grocer put 75 baking potatoes out individually and bags the rest of the potatoes into pack of 6. How many pack of 6 does the grocer make?

The general solution of the differential equation y"-8y+15y=0 is \(y(t) = C_{1}sinh(\sqrt{3}t) + C_{2}sinh(\sqrt{5}t)\), where \(C_{1}\) and \(C_{2}\) are constants of integration

The characteristic equation for this differential equation is r^2 - 8r + 15 = 0, which factors as (r-3)(r-5) = 0. Therefore, the roots are r=3 and r=5.

The general solution of the differential equation is \(y(t)= C_{1}e^{3t}+C_{2}e^{5t}\), where \(C_{1}\)  and \(C_{2}\) are constants of integration.

we can write this as: \(y(t)= C_{1}sinh(at)+  C_{2} sinh(bt)\), where a and b are the square roots of the roots of the characteristic equation, i.e. \(a=\sqrt{3}\) and \(b=\sqrt{5}\).

Therefore, the general solution of the differential equation y"-8y+15y=0 is \(y(t) = C_{1}sinh(\sqrt{3}t) + C_{2}sinh(\sqrt{5}t)\), where \(C_{1}\) and \(C_{2\) are constants of integration.

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Answer:

I am sorry just today we start this lesson

Answer

Use the fact that 45 times 1/9 = 5. Them multiply by 8 to get the answer, 40.

Step-by-step explanation:

Answer: y = 5x + 26

Step-by-step explanation:

To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.

We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Substituting the values, we get:

y - 1 = 5(x - (-5))

Simplifying further:

y - 1 = 5(x + 5)

Expanding the brackets:

y - 1 = 5x + 25

Rearranging the equation to the slope-intercept form (y = mx + b):

y = 5x + 26

Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.

Answer: I think your answer is B!!

Step-by-step explanation: i might not be right but im pretty sure

To find the equation of the tangent plane to the surface z = ln(x - 7y) at the point (8, 1, 0), we need to determine the partial derivatives of z with respect to x and y at that point.

First, let's find the partial derivative ∂z/∂x:

∂z/∂x = 1/(x - 7y)

Next, let's find the partial derivative ∂z/∂y:

∂z/∂y = -7/(x - 7y)

Now, let's evaluate these partial derivatives at the point (8, 1, 0):

∂z/∂x = 1/(8 - 7(1)) = 1/(8 - 7) = 1

∂z/∂y = -7/(8 - 7(1)) = -7/(8 - 7) = -7

At the point (8, 1, 0), the partial derivatives are ∂z/∂x = 1 and ∂z/∂y = -7.

The equation of a plane can be expressed as:

z - z0 = (∂z/∂x)(x - x0) + (∂z/∂y)(y - y0)

Using the values we calculated:

z - 0 = 1(x - 8) + (-7)(y - 1)

Simplifying, we get:

z = x - 8 - 7y + 7

Rearranging terms, the equation of the tangent plane to the surface at the point (8, 1, 0) is:

z = x - 7y - 1

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Answer:

10^4

Step-by-step explanation:

10×10×10×10=10,000, which is given number.

Answer:

97500 apples left

Step-by-step explanation:

haha hope this helps

Answer:

The correct answer is: Option H: 14.4 units

Step-by-step explanation:

CD is a line segment and let M be the mid-point of the line segment.

As we know that a mid-point divides the line in two equal parts, this means that the length of line segment will be the double of distance between one end and mid-point

Given

C( 2,-1) => (x1,y1)

M(8,3) => (x2,y2)

The distance formula is given by:

\(d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Putting the values

\(|CM|= \sqrt{(8-2)^2+(3-(-1))^2}\\|CM| = \sqrt{(8-2)^2+(3+1)^2}\\= \sqrt{(6)^2+(4)^2}\\=\sqrt{36+16}\\=\sqrt{52}\\= 7.211\)

We know that

\(CD = 2CM\\CD = 2 * 7.211\\CD = 14.422\\CD = 14.4\)

Hence,

The correct answer is: Option H: 14.4 units