Work out
26 ÷ (-7-12 ÷ 2)

Answer:

Use the sum of angle measures rule.

Step-by-step explanation:

If you are given two angles and one missing angle, it's good to remember that all angles add up to 180°.

You can add the the given angles measurements, and subtract them by 180. You should then get the missing angle measure.

Brainilest Is Appreciated.

The first rider the displacement is, 17 km.

And the 2nd river the displacement is 20.22 km.

What is right triangle?

A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangled triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and other angles of the right triangle.

It is asked in this problem is who's displacement is greater (not distance) it means that the shortest distance of starting and ending point with direction from start and end.

Here we have two triangle with two arm know for both.

So we have to find the 3rd arm for both triangle.

Now we have for a right triangle

a^2 + b^2 = c^2

For other triangle we know the cosine law of triangle is,

a^2 + b^2 - 2ab cosθ = c^2

θ is the opposite angle of c

For the first rider the displacement is,

c = \(c = \sqrt{a^2 + b^2} = \sqrt{8^2 + 15^2} = 17 km\\\)

For the 2nd river the displacement is

\(c = \sqrt{a^2-b^2 -2abcosheta}\),  θ = 120°

\(c = \sqrt{8^2 + 15^2 - 2ab cos(120)} \\c = \sqrt{289 - 240cos(120)} \\c = \sqrt{289 - (-120)} \\c = \sqrt{289 + 120}\\ c = \sqrt{409} \\c = 20.22km\)

Hence, the first rider the displacement is, 17 km.

And  the 2nd river the displacement is 20.22 km.

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Answer:

the answer is = 61

Step-by-step explanation:

Answer: (10,-16)

Step-by-step explanation:

\(A(-4,8)\ \ \ \ C(3,-4)\ \ \ \ \ B(x_B,y_B)=?\\\)

See the graph below.

                             \(\displaystyle\\\boxed {x_C=\frac{x_A+x_B}{2} }\\\\\)

Multiply both parts of the equation by 2:

\(2x_C=x_A+x_B\\2x_C-x_A=x_A+x_B-x_A\\2x_C-x_A=x_B\)

Hence,

\(x_B=2*3-(-4)\\x_B=6+4\\x_B=10\)

                            \(\displaystyle\\\boxed {y_C=\frac{y_A+y_B}{2} }\)

Multiply both parts of the equation by 2:

\(2y_C=y_A+y_B\\2y_C-y_A=y_A+y_B-y_A\\2y_C-y_A=y_B\)

Hence,

\(y_B=2*(-4)-8\\y_B=-8-8\\y_B=-16\\Thus,\ B(10,-16)\)

Answer:

Width of the rectangle = 6.325 units

Length of the rectangle = 12.65 units

Side length of the square the 6.325 units.

Step-by-step explanation:

The length of a rectangle is twice the width. The area of the rectangle is 80 square units.

The area of the rectangle = Length × Width

Length = 2W

80 square units = 2W × W

80 = 2W²

W² = 80/2

W² = 40

W = √40

Width of the rectangle = 6.3245553203 units

Approximately = 6.325 units

Length = 2 × Width

= 2 × 6.325

= 12.65 units

• Notice that you can divide the rectangle into two squares with equal area. How can you estimate the side length of each​ square?

We you divide a rectangle into 2 squares,

The length is divided into two.

Hence, the length of the rectangle = 12.65 units

12.65 units ÷ 2 = 6.325 units.

Hence, the side length of the square the 6.325 units.

Answer:

8,192....this is the answer

The given statistic is said to be an "unbiased estimator". In this statistic, the mean is equal to the true value of the estimated parameter.

In a statistic, if the mean is equal to the estimated parameter, then that statistic is said to be an unbiased estimator. It is used to estimate a population parameter.

Consider a statistic.

"A statistic describes a portion of the target population".

"A parameter describes the whole population".

In a statistic, the mean of the sampling distribution is equal to the true value of the estimated parameter.

I.e., μ = E(x)

So, that statistic is said to be an unbiased estimator.

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The value of x and y in the algebra (3x - y, 2) = (2, x + y) ​ are 1 and 1 respectively.

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

Given the algebra:

(3x - y, 2) = (2, x + y) ​

Therefore, equation:

3x - y = 2        (1)

Also:

x + y = 2        (2)

From both equations, solving simultaneously:

x = 1, y = 1

The value of x and y are 1 and 1 respectively.

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Answer:

$12

Step-by-step explanation:

C0-starting price

C1-price after discount

P- precentage

C1=C0-P/100*C0

C1=20-40/100*20

C1=20-8

C1=12

Answer:

\(\frac{1}{12^{16} }\)

Step-by-step explanation:

\((12^{-2}) ^{8}\)

When a power is raise to a power, you multiply the exponents

\(12^{-16}\)

To make the power positive, you put the power under 1.

\(\frac{1}{12^{16} }\)

Answer:

The area of the actual park = 1,012.5 m^2

Step-by-step explanation:

In this question, we want to calculate the actual area of the park.

The scale drawing is given as 10 cm by 5 cm

Let’s translate this to actual measurements;

Since 1 cm = 4.5 m, then 10 cm will be 10 * 4.5 = 45 m while 5.0cm will be 5 * 4.5 = 22.5 m

So the actual dimensions of the park will be ;

45m by 22.5 m

Mathematically, the area of a rectangle = L * B = 45 m * 22.5 m = 1,012.5 m^2

FALSE. The number of dots in a dotplot of a bootstrap distribution is equal to the size of the bootstrap sample, not the original sample.

In a bootstrap analysis, multiple samples of the same size are drawn from the original sample with replacement, creating a distribution of sample statistics. The dotplot of this distribution represents the frequency of the sample statistics and can help us understand the variability of the original sample.

The number of dots in the dotplot reflects the number of bootstrap samples, which can be much larger than the original sample size. Therefore, the number of dots in the bootstrap distribution can be different from the size of the original sample.

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Symbolab is an online math tool that offers a wide range of math-related services, including a derivative calculator. The derivative calculator provided by Symbolab is a free tool that allows users to calculate the derivative of a given function with respect to a variable.

To use the Symbolab derivative calculator, you simply need to enter the function you want to differentiate and choose the variable with respect to which you want to differentiate the function. The calculator will then provide you with the derivative of the function in a step-by-step format, including the derivative rules used at each step.

The Symbolab derivative calculator supports a wide range of functions, including trigonometric functions, exponential functions, logarithmic functions, and more. It also supports partial derivatives and implicit differentiation.

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Answer:

Yes

Step-by-step explanation:

A Parallelogram is a flat shape with opposite sides parallel and equal in length.  NOTE: Squares, Rectangles and Rhombuses are all Parallelograms

Hope this helps (:

The interest on principle $775 over eight year at rate 1.47% is  $91.14

Simple interest is a interest which is only based on principle amount, it does not imply on yearly interest.

The given principle, p = $775 ,

Rate r = 1.47 %,

and Time = 8 year.

To find interest I, Use formula,

I=(p × r × t)/100,

I=775 ×1.47 ×8/100,

I = $91.14

So the interest is I = $91.14

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To calculate the project's NPV in the best-case scenario, we need to consider the best possible values for each variable.

Here are the steps-

Step 1: Calculate the annual cash inflow.
Annual revenue = Unit price * Expected sales

= $80 * 40,600

= $3,248,000

Step 2: Calculate the annual cash outflow.

Annual variable cost = Variable cost * Expected sales

= $60 * 40,600

= $2,436,000
Annual fixed cost = Fixed cost

= $440,800
Annual depreciation = Initial investment / Project life

= $14,000,000 / 10

= $1,400,000
Annual tax = (Annual revenue - Annual variable cost - Annual fixed cost - Annual depreciation) * Tax rate

= ($3,248,000 - $2,436,000 - $440,800 - $1,400,000) * 0.21

= $208,720

Step 3: Calculate the annual net cash flow.

Annual net cash flow = Annual revenue - Annual variable cost - Annual fixed cost - Annual depreciation - Annual tax

= $3,248,000 - $2,436,000 - $440,800 - $1,400,000 - $208,720

= $162,480

Step 4: Calculate the NPV using the best-case scenario cash flows.-

\(NPV = Initial investment + (Annual net cash flow / (1 + Required rate of return)^n)\)

\(= -$14,000,000 + ($162,480 / (1 + 0.14)^1) + ($162,480 / (1 + 0.14)^2) + ... + ($162,480 / (1 + 0.14)^10)\)

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Using the laws of exponents, the solution to the given problem is: 25

Some of the laws of exponents are:

1) Product of powers rule: This means that we add powers together when multiplying like bases.

2) Quotient of powers rule: This means that we subtract powers when dividing like bases.

3) Power of powers rule: This means that we multiply powers together when raising a power by another exponent.

4) Power of a product rule: This means that when any base is being multiplied by an exponent, distribute the exponent to each part of the base.

5) Negative exponent rule: This means that when there is a number being raised by a negative exponent, flip it into a reciprocal to turn the exponent into a positive

We are given the expression:

\(\frac{1}{5^{-2} }\)

Using the negative exponent rule, we will have:

5² = 25

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The value of 'x' in the linear pair of angles is 126°.

We know when a transversal intersects two parallel lines at two distinct points,

Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.

We know the sum of linear pair of angles is 180°.

Therefore, From the given information

(x - 6)° + 60° = 180°.

x + 54° = 180°.

x = 180° - 54°.

x = 126°.

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Answer:

x = -4

Step-by-step explanation:

2(x-8)=x+5x

Combine like terms

2(x-8) = 6x

Divide by 2

2(x-8)/2 = 6x/2

x-8 = 3x

Subtract x from each side

x-8-x = 3x-x

-8 = 2x

Divide by 2

-8/2 = 2x/2

-4 =x

Using Taylor series, the approximation P3(1.2) = 0.77083. Error R3(1.2) < 0.000235. Thus, P3(1.2) - |R3(1.2)| = 0.770599, within 0.001 of f(1.2).

In part C, we found the third-order Taylor polynomial for f about x=1 to be P3(x) = 1 - 1/2(x-1) + 1/8\((x-1)^2\)- 1/48\((x-1)^3\).

To show that this approximation is within 0.001 of the exact value of f(1.2), we need to estimate the error using the remainder term. The remainder term for the third-order Taylor polynomial is given by R3(x) = f(x) - P3(x) = (1/4!)\((x-1)^4\)f⁴(c), where c is some number between 1 and x.

Using the given formula for fⁿ(1), we can compute f⁴(c) = (-1)³(3!)/2⁴ = -3/16. Thus, we have R3(1.2) = (1/4!)\((0.2)^4\)(-3/16) = -0.000234375.

Since R3(1.2) is negative, we know that P3(1.2) > f(1.2), so our approximation is too high. Therefore, to ensure that our approximation is within 0.001 of the exact value of f(1.2), we need to subtract the error bound from our approximation. That is, we need to use P3(1.2) - |R3(1.2)| as our estimate. Substituting values, we get P3(1.2) - |R3(1.2)| = 0.770833333 - 0.000234375 = 0.770598958.

Since |f(1.2) - P3(1.2)| < |R3(1.2)|, we can conclude that our approximation is within 0.001 of the exact value of f(1.2).

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Step-by-step explanation:

I just answered this. how often was that posted ?

the distance of a vertex to its 2 neighboring circle touching points is the same, because tangents emanating from the same point to the same circle must have the same distance to the touching points.

so, AB splits into a (from A to the circle touching point on AB) and b (from the circle touching point on AB to B).

b = AB - a

BC splits into b (from B to the circle touching point on BC) = AB - a, and c (from the circle touching point on BC to C).

c = BC - (AB - a) = BC - AB + a

CD splits into c (from C to the circle touching point on CD) = BC - AB + a, and d (from the circle touching point on CD to D).

d = CD - (BC - AB + a) = CD - BC + AB - a

DA now splits into d (from D to the circle touching point on DA) and ... a (from the circle touching point on DA to A).

a = DA - (CD - BC + AB - a) = DA - CD + BC - AB + a

0 = DA - CD + BC - AB

DA = CD - BC + AB = 8 - 5 + 4 = 7

Answer:

  DA = 7

Step-by-step explanation:

You have quadrilateral ABCD with an inscribed circle and side lengths AB=4, BC=6, CD=8, and you want to know the length of DA.

The tangents from each vertex of the quadrilateral to the inscribed circle are the same length, so we can work our way around the quadrilateral to find the missing length. The attached figure shows the tangent lengths working counterclockwise from vertex A.

The sum of the tangents from A and D is ...

  x + (7 -x) = 7

The length of DA is 7 units.

__

Additional comment

The sum of the lengths of opposite sides is the same in any quadrilateral with an inscribed circle. Here, that sum is 4+8 = 12, so the unknown side is 12-5 = 7.

Answer:the third one I suppose

Step-by-step explanation:

The probability of selecting 46 students out of a college population where 65% still need to take another math class is 0.05433 or 5.433%.

The probability of selecting 46 students out of a college population of which 65% still need to take another math class can be calculated using the binomial probability formula. To calculate the probability, the following information is needed:

Using the binomial probability formula, we can calculate the probability of selecting 46 students out of a college population where 65% still need to take another math class as follows:

\(P(X=46) = (N!/((N-r)! * r!)) * (p^r) * (1-p)^(N-r)\)

\(= (100!/((100-46)! * 46!)) * (0.65^46) * (1-0.65)^(100-46)\)
\(= 0.05433\)

Therefore, the probability of selecting 46 students out of a college population where 65% still need to take another math class is 0.05433 or 5.433%.

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a) The equation of the line parallel to 2x + 7y = 6 and passing through the point (4, -7) is 2x + 7y = 41. b) The equation of the line perpendicular to 2x + 7y = 6 and passing through the point (4, -7) is 7x - 2y = -14.

For part a), to find the equation of a line parallel to a given line, we need to use the same slope as the given line. The given line 2x + 7y = 6 can be rewritten as 7y = -2x + 6, which has a slope of -2/7. Since a line parallel to it will have the same slope, we can substitute the point (4, -7) into the point-slope form equation y - y1 = m(x - x1), where m is the slope. Plugging in the values, we get y + 7 = (-2/7)(x - 4), which simplifies to 2x + 7y = 41 in standard form.

For part b), to find the equation of a line perpendicular to a given line, we need to use the negative reciprocal of the slope of the given line. Again, rewriting 2x + 7y = 6 as 7y = -2x + 6, we can see that the slope is -2/7. The negative reciprocal of -2/7 is 7/2. Using the point (4, -7) and the point-slope form equation, we obtain y + 7 = (7/2)(x - 4), which simplifies to 7x - 2y = -14 in standard form.

Therefore, the correct answer for part a) is OC: 7x - 2y = -14, and the correct answer for part b) is OB: 2x + 7y = 41.

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Karan swam and biked for a total of 1 hour and 45 minutes.

let's say 60=100 for a total of 100 equaling 1 hour.

Therefore, 100+45= 145

Answer: LOL  GIVE ME POINTS

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

So, let’s find the distance between the two points.

We will use the distance formula: “

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

We will let (1, 4) be (x₁, y₁) and (4, 7) be (x₂, y₂). Substitute:

\(d=\sqrt{(4-1)^2+(7-4)^2\)

Evaluate:

\(d=\sqrt{(3)^2+(3)^2}\)

Evauate:

\(d=\sqrt{18}=\sqrt{9\cdot 2}=3\sqrt2\approx4.2\)

So, the distance between the two points is 4.2 units.

Since each unit is equivalent to one kilomeer, Alejandro wil need to walk approximately 4.2 kilometers.

So, our answer is A.

Answer:

960 I believe.

Step-by-step explanation: