If b = 7 and A = 80 degrees,
find c.

Step-by-step explanation:

3x+12=2x+2x

3x+12=4x

3x-4x=-12

-x=-12

x=12

Answer:

no, the answer is x = 12

Step-by-step explanation:

3(x + 4)= 2x - (-2x)

3(x + 4)= 2x + 2x

3x + 12 - 12 = 4x - 12

3x - 4x = 4x - 12 - 4x

-x = -12

x = 12

When the cosine of an angle (0) is 3/5 and the angle lies in quadrant 4, the exact value of the sine of that angle is -4/5.

To find the exact value of sin(0), we can utilize the Pythagorean identity, which states that \(sin^2(x) + cos^2(x) = 1,\) where x is an angle in a right triangle. Since the terminal side of the angle (0) is in quadrant 4, we know that the cosine value will be positive, and the sine value will be negative.

Given that cos(0) = 3/5, we can determine the value of sin(0) using the Pythagorean identity as follows:

\(sin^2(0) + cos^2(0) = 1\\sin^2(0) + (3/5)^2 = 1\\sin^2(0) + 9/25 = 1\\sin^2(0) = 1 - 9/25\\sin^2(0) = 25/25 - 9/25\\sin^2(0) = 16/25\)

Taking the square root of both sides to find sin(0), we have:

sin(0) = ±√(16/25)

Since the terminal side of (0) is in quadrant 4, the y-coordinate, which represents sin(0), will be negative. Therefore, we can conclude:

sin(0) = -√(16/25)

Simplifying further, we get:

sin(0) = -4/5

Hence, the exact value of sin(0) when cos(0) = 3/5 and the terminal side of (0) is in quadrant 4 is -4/5.

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Note the correct and the complete question is

Q- Find the exact value of sin(0) when cos(0) =3/5 and the terminal side of (0) is in quadrant 4​ ?

The first significant digit is 6, and the second is 2, giving a value of 62. Therefore, rounding it to two significant digits yields 6.3 × 10⁴

For six significant digits, start with 6 and then include the following 5 numbers, which yields 6.26160. Since the number to the right of 0 is 7, which is greater than or equal to 5, we add 1 to the last significant digit. The final answer is 6.26160 × 10⁴

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Answer:

55%

Step-by-step explanation:

22 is 55% of 40

Answer:

55%

Step-by-step explanation:

we add the number of students together first

22+18

40

Now we divide 22 by 40 since 22 got vanilla

22/40

0.55

Multiply by 100 to get percent

55%

Hopes this helps please mark brainliest

The area of the region that is bounded by the curve r=5sin(θ) and lies in the sector 0≤θ≤π is 25/2 square units.

To find the area of the region that is bounded by the curve r=5sin(θ) and lies in the sector 0≤θ≤π, we can use the formula for the area of a polar region:

A = 1/2 ∫(b,a) r(θ)² dθ

where a and b are the values of θ that define the region.

In this case, the region is defined by 0 ≤ θ ≤ π and r(θ) = 5\(sin(\theta)^{(1/2)}\), so we have:

A = 1/2 ∫(π,0) [5\(sin(\theta)^{(1/2)}\)]² dθ

Simplifying the integrand:

A = 1/2 ∫(π,0) 25sin(θ) dθ

Using the identity ∫sin(θ)dθ = -cos(θ), we get:

A = 1/2 [-25cos(π) + 25cos(0)] = 25/2

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The evaluation of the segment formed by the parallel lines using Thales Theorem also known as the triangle proportionality theorem are;

8. \(\overline {ST}\) is parallel to \(\overline{PR}\)

9. \(\overline{ST}\) is parallel to \(\overline{PR}\)

10. \(\overline{ST}\) is not parallel to \(\overline{PR}\)

11. x = 57.6

12. x = 25.8

13. x = 11

14. x = 10

15. x = 5

16. x = 17

Thales Theorem also known as the triangle proportionality theorem states that a parallel line to a side of a triangle that intersects the other two sides of the triangle, divides the two sides in the same proportion.

8. The ratio of the sides the segment \(\overline{ST}\) divides the sides QR and QP of the triangle ΔPQR into are; 7/11.2 = 10/16 = 0.625

Therefore; according to the Thales theorem, \(\overline{ST}\) ║ \(\overline{PR}\)

9. The ratio of the sides the parallel side to the base divides the other two sides are;

33/41.8 = 15/19

45/(102 - 45) = 45/57 = 15/19

Therefore, \(\overline{ST}\) and \(\overline{PR}\) bisects \(\overline{QP}\) and \(\overline{QR}\) into equal proportions and therefore, \(\overline{ST}\) ║ \(\overline{PR}\)

10. The ratio of the sides the segment \(\overline{ST}\)  bisects the other two sides are;

24/57 and 19/38

24/57 ≠ 19/38, therefore \(\overline{ST}\) ∦ \(\overline{PR}\)

Second part; To solve for x

11. x/30 = 48/25

x = (48/25) × 30 = 57.6

x = 57.6

12. x/34.4 = (49 - 28)/28

x = 34.4 × (49 - 28)/28 = 25.8

x = 25.8

13. (2·x + 6)/52.5 = 32/60

(2·x + 6) = 52.5 × (32/60)

x = (52.5 × (32/60)) - 6)/2 = 11

x = 11

14. (x - 3)/21 = (x - 1)/27

27·x - 27 × 3 = 21·x - 21

27·x - 81 = 21·x - 21

6·x = 60

x = 60 ÷ 6 = 10

x = 10

15. (35 - 20)/20 = (4·x - 2)/(7·x - 11)

15/20 = (4·x - 2)/(7·x - 11)

15 × (7·x - 11) = 20 × (4·x - 2)

105·x - 165 = 80·x - 40

105·x - 80·x = 165 - 40 = 125

25·x = 125

x = 125/25 = 5

x = 5

16. (x - 3)/35 = 4/(x - 7)

(x - 3) × (x - 7) = 35 × 4 = 140

x² - 10·x + 21 = 140

x² - 10·x - 119 = 0

(x - 17) × (x + 7) = 0

x = 17 or x = -7

Therefore, the possible value of x is 17

x = 17

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The full Python code is included below as an image, and it sets the base and height of triangles 1 and 2, then calculates the bigger area.

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Answer:

1. 3/9 = 45/15

2. 5

3. 3

4. 5

5. 7

Answer:

last option

Step-by-step explanation:

The last choice

Answer:

Yes

Step-by-step explanation:

The idea is to use the formula for perpendicular gradients,

meaning m1 * m2 = -1

Since L2 passes through 2 points and to find gradient we just need 2 points,

we can use the 2 given points given

L2 gradient is (9 - (-7)) / (7 - (-1)) = 16/8 = 2

x + 2y = 4 rewrite as  y = -(0.5)x + 2

so our m1 is -0.5 and m2 is 2

-0.5 * 2 = -1  which was what we wanted to show.

L1 and L2 are perpendicular

Yes, Michael is correct.

Thew lines L1 and L2 are perpendicular.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

Given:

The straight line L1 has equation x + 2y = 4.

y = -x/2 + 2.

The straight line L2 passes through the points (-1, -7) and (7, 9).

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

m = 16/8

m = 2

Slope of L1 = -1/2 and slope of L2 = 2.

The slope of the lines are negative reciprocal of each other.

That means, the lines are perpendicular.

Therefore, lines are perpendicular.

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The integral of a trigonometric function with limits divided into three intervals. The goal is to determine the value of an. The provided image helps clarify the limits and the overall process.

1. Write down the integral expression: an = 2π ∫[0 to B-a] i(wt) cos(nwt) dwt + ∫[a to B] i(wt) cos(nwt) dwt + ∫[a+π to 2π] i(wt) cos(nwt) dwt.

2. Evaluate each integral separately by integrating the product of the trigonometric functions. This involves applying the integration rules and using appropriate trigonometric identities.

3. Simplify the resulting expressions and apply the limits of integration. The limits provided are 0 to B-a for the first integral, a to B for the second integral, and a+π to 2π for the third integral.

4. Perform the necessary calculations and algebraic manipulations to obtain the final expression for an.

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Answer:

3

Step-by-step explanation:

since all the values are the same.

factorize as shown

5+n=8

n=8-5

n=3.

Answer:

Increases from points 0x,-6y to 2x,-3y.

Step-by-step explanation:

Answer:

2L+2W

Step-by-step explanation:

U JUST MOVE THE 2 TO THE L AND MOVE THE 2W TO THE OTHER SIDE. I THINK MY ANSWER IS RIGHT BUT MAYBE WAIT FOR ANOTHER PERSON

Confirmed Solution:

\(p=2l+2w\)

Hope this helps!

150 meters of wire is required to enclose the land 5 times.

To find the length of wire required to enclose the equilateral triangle plot of land, we need to calculate the perimeter of the triangle.

An equilateral triangle has all sides of equal length. Let's assume the length of each side of the triangle is "s".

The area of an equilateral triangle is given by the formula:

Area = (√3 / 4) * s²

Given that the area is 43.3 sq m, we can set up the equation:

43.3 = (√3 / 4) * s²

To find the length of each side, we solve for "s":

s² = (43.3 * 4) / √3

s = 9.999

Rounding to integer

s = 10 m

Now, to find the perimeter of the triangle, we multiply the length of one side by 3

Perimeter = 3s

Perimeter = 3 * 10

Perimeter = 20

Since the wire needs to enclose the land 5 times, we multiply the perimeter by 5

Total wire required = 5 * Perimeter

Total wire required ≈ 5 * 30

Total wire required ≈ 150 meters

Therefore, 150 meters of wire is required to enclose the land 5 times.

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Answer:

I have no clue I really don't have no clue but you 10 divided by 3 and then you could double it by 2 and then after that you could develop by 3 and then that's how much Stephen get

Answer:

Step-by-step explanation:

To accumulate $300,000 for retirement in 35 years with a 10% interest rate, a monthly deposit of approximately $155.95 is needed. This calculation is based on the future value of an ordinary annuity formula.

To have $300,000 for retirement in 35 years with an account earning 10% interest, you would need to deposit a certain amount each month. The specific monthly deposit can be calculated using the formula for the future value of an ordinary annuity.

To determine the required monthly deposit, we can use the future value of an ordinary annuity formula:

\[ FV = P \times \left( \frac{{(1 + r)^n - 1}}{r} \right) \]

where:

- FV is the desired future value ($300,000)

- P is the monthly deposit

- r is the monthly interest rate (10% divided by 12)

- n is the number of periods (35 years multiplied by 12 months)

Rearranging the formula, we have:

\[ P = \frac{FV \times r}{(1 + r)^n - 1} \]

Substituting the given values, we can calculate the monthly deposit:

\[ P = \frac{300,000 \times \left(\frac{0.10}{12}\right)}{(1 + \frac{0.10}{12})^{35 \times 12} - 1} \]

Evaluating the expression, we find that the required monthly deposit is approximately $155.95 when rounded to the nearest two digits.

Therefore, to accumulate $300,000 for retirement in 35 years with a 10% interest rate, you would need to deposit approximately $155.95 each month. This calculation assumes a constant monthly deposit and does not account for factors such as inflation or varying interest rates.

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The probability that the three numbers are a solution to the equation x + y + z = 27 will be 0.1664.

It should be noted that the numbers are from 0 to 27. Therefore, there are 28 numbers.

The number of ways to selecting 3 out or 28 will be:

= 28 × 28 × 28

Therefore, the probability will be:

= 29C26/(28 × 28 × 28)

= 0.1664

Therefore, the probability is 0.1664.

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Answer:

Diagram B

Step-by-step explanation:

Answer:

3.78 yd

Step-by-step explanation:

Rectangle area = length x width

a = (w+10)*w = w² + 10w = 52

w² + 10w - 52 = 0

w = (-10 ± √10²-4*1*(-52)) / 2 = (-10 ± √308)/2 = (-10 ± 17.55)/2

width must be positive: w = (-10 + 17.55)/ 2 = 7.55/2 = 3.78

The solution to this system of linear equations y - x = 6 and y + x = -10 is (-8, -2).

y - x = 6

⇒y = x + 6

y + x = -10

⇒y = - x - 10

Since both equations are equal to y, equate them.

x + 6 = - x - 10

x + x = - 10 - 6

2x = - 16

Divide both sides by 2

x = -8

Put the value of x in either of the equations

y - x = 6

y - (-8) = 6

y + 8 = 6

y = 6 - 8

y = - 2

Therefore, the solution to the system of linear equations is (-8, -2).

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The volume of the body of revolution obtained by rotating the graph of f(z) around the z-axis is given by the integral ∫ a b π f²(z) dz. The cylindrical coordinates (r, ϕ, z) can be used to describe the resulting three-dimensional region R.

a) Sketch of the body of revolution obtained by rotating the graph of f(z) around the z-axis.

The body of revolution is obtained by rotating the graph of f(z) around the z-axis. When this is done, it results in a three-dimensional object known as the solid of revolution.

The sketch of the body of revolution can be drawn as follows: b) Describing the resulting three-dimensional region R using the cylindrical polar coordinates (r,ϕ,Z)

The cylindrical polar coordinates (r,ϕ,Z) can be used to describe the resulting three-dimensional region R. For instance, the cylindrical polar coordinates can be used to identify the height (z-coordinate) and the radius (r-coordinate) of the solid of revolution.

In this case, the region R can be described as follows: (r, ϕ, z) ∈ [0, f(z)], 0 ≤ r ≤ 2π, a ≤ z ≤ b c)

To find the volume of the body of revolution, the triple integral can be used. In this case, we can use the cylindrical coordinates as follows:

V = ∫ [0,2π] ∫ [a,b] ∫ [0,f(z)] r dz dr dϕ

We know that the function f(z) is defined on the interval [a, b]. Therefore, the volume of the body of revolution is given as:

V = ∫ a b π f²(z) dz

The answer is obtained by integrating over the interval [a, b]. This expression is a single integral with respect to z of an expression containing the function f(z).

Conclusion: Thus, the volume of the body of revolution obtained by rotating the graph of f(z) around the z-axis is given by the integral ∫ a b π f²(z) dz. The cylindrical coordinates (r, ϕ, z) can be used to describe the resulting three-dimensional region R.

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The total cost for a person to buy shoes is:

We know that,

the % of Sales tax = 6%= 0.06

Since the cost is unknown, considering the cost is $450

The total bill amount = $450 + 0.06*450

= $450+$27

Therefore, the total cost of shoes = $477

Although part of your question is missing, you might be referring to this full question: What is the total cost for a person to buy the shoes including a 6% sales tax when the cost is $450?

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The correct answer is option b. The Standard Deviation is the measure of variability that is most commonly used when reporting the mean, because it provides a good indication of how much the individual data points vary from the mean.

The mean of your dataset must first be determined before you can calculate the standard deviation. If you know the mean, you can use the formula below to determine the standard deviation:

1. Determine how much each data point differs from the mean.

2. Rectangle the discrepancies.

3. Total the disparities that have been squared.

4. Subtract the total number of data points from the sum of the squared differences.

5. Determine the result's square root.

This calculation yields the Standard Deviation, which shows how widely the individual data points deviate from the mean.

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Answer:

10^4

Step-by-step explanation:

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

To find the dimension of the eigenspace corresponding to each eigenvalue, we need to solve the equation (dim(x) - 1.1) = 0. In this case, there is no valid dimension for the eigenspace.

1. The equation dim(x) - 1.1 = 0 tells us that the dimension of the eigenspace (denoted by dim(x)) is equal to 1.1. However, dimensions must be whole numbers, so we cannot have a fractional dimension for an eigenspace. Therefore, in this case, there is no valid dimension for the eigenspace.

2. The concept of eigenspaces and their dimensions is typically associated with eigenvalues of matrices. However, in this case, you provided an equation involving the dimension of the eigenspace directly, without specifying any matrix or eigenvalues. As a result, we cannot provide specific eigenvalues or dimensions for eigenspaces without additional information.

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Yes, Ms. Ouzts will have enough to purchase the purse as $125 is greater than the total cost of the purse including tax, which is $108.50.

The sales tax in South Carolina is 8.5%, which means that the total cost of the purse including tax will be

= Cost of purse + Sales tax

Substitute the values in the equation

= $100 + (8.5% of $100) = $100 + $8.50 = $108.50

If Ms. Ouzts has $125 to spend on the purse, then she will have enough to purchase it because $125 is greater than $108.50.

In fact, she will have $125 - $108.50 = $16.50 left over after buying the purse.

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