If the measure of an angle is 38 degrees, find the measure of its complement.

Boris should navigate 79.74° to go to Island C.

Given,

Boris is on vacation at a tropical bay that has three islands.

Distance between Island A and Island C = 13 miles

Distance between Island B and Island C = 14 miles

Distance between Island A and Island B = 8 miles

Boris rents a boat on Island A and plans to navigate to Island C.

We have to find that at what angle should she navigate to go to Island C

Here,

14² = 13² + 8² - (2 × 13 × 8) Cos A

Cos A = (13² + 8² - 14²) / (2 × 13 × 8)

Cos A = (169 + 64 - 196) / 208

Cos A = 37/208

A = arc Cos 0.178

A = 79.74°

Therefore,

Boris should navigate 79.74° to go to Island C.

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The given question is incomplete. Completed question is given below;

Boris is on vacation at a tropical bay that has three islands. He rents a boat on Island A and plans to navigate to Island C, which is 13 miles away. Based on the figure below, at what angle θ should he navigate to go to Island C? Carry your intermediate computations to at least four decimal places. Round your answer to the nearest tenth of a degree . × S

Image is attached;

Answer: The first one

Step-by-step explanation:

3a + 11 > 5

Subtract 11 from both sides:-

3a > 5 - 11

3a > -6

a > -2

Answer:

It would be the first one

Step-by-step explanation:

problem---> 3a + 11 > 5

FIND a

1. Subtract 11 from both sides:-

which would look like this "3a > 5 - 11"

=3a > -6

a > -2

ANSWER; C.

Therefore , the solution of the given problem of fraction comes out to be 3/11 = 0.272 and -12.54 = -1254/100.

Any class of related sums or fractions can serve as a representation of a whole. In standard English, a percentage is used to represent the quantity of a specific size. 8, 3/4. Also wholes are fractions. Its fraction to denominator ratio is used in mathematics to express numbers. These fractions are all made up of basic integers. Due to differences in actual percentage calculations, numerators, and numerators, the fraction of a difficult fraction contains a fraction.

Here,

given :

3 over 11

can be written in decimal as

=> 3/11 = 0.272

Negative 5 over 8

=> -5/8 = -0.625

Negative 7 over 10

=> -7/10 = -0.7

2 and 5 over 6

=> 2 5/6 = 17/6 = 2.83

Negative 1 and 80 over 99

=> - 1 80/99 = -19/99 = 0.191

To fraction

Negative 0. 15

=> -0.15 = 15/100

Negative 7. 75

=> -7.75 = -775/100

Negative 12. 54

=> -12.54 = -1254/100

Therefore , the solution of the given problem of fraction comes out to be 3/11 = 0.272 and -12.54 = -1254/100.

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Answer:

x=d/a - by/ac

Steps:

ax+by/c=d

(cax+by)/c=d

cax+by=cd

cax=cd-by

x=(cd-by)/ca

x=cd/ca - by/ca

x=d/a - by/ac

Answer:

mean: 2.6, mode: 1, median: 1

Step-by-step explanation:

The mean is essentially the average of the data set which can be defined as: \(\frac{\text{sum of data set}}{\text{amount of data in data set}}\). So adding all the values together you get: \(26\). and counting all the numbers in the data set you find the data set has 10 numbers. This gives you the equation: \(\frac{26}{10} = 2.6\) which is the mean

To find the mode, you find which number occurs most frequently, this is of course 1, which can really be determined by just looking at the data set for a second. all the other numbers only occur once, while 1 is in the data set 5 times. So 5 is the mode

To find the median you sort the data, from min to max, and then find the middle number. Sorting the data set gives you. -2, 1, 1, 1, 1, 1, 4, 5, 6, 8. Since this data set has an even amount of numbers, there is not going to be an exact middle. If you go the "middle" which is the 5th and 6th number, you add these two numbers and divide the sum by 2. This gives you: (1+1)/2 = 1 So the median is 1

Answer:

Question 1 is a, Question 2 is B, and Question 3 is D

Step-by-step explanation:

To find dz/dt using the chain rule, we need to calculate the derivatives of z with respect to x and y separately, and then multiply them by the derivatives of x and y with respect to t.

Given:

z =  \(cosh^{2} (xy)\)

x = (1/2)t

y = \(e^{t}\)

Let's start by finding the partial derivatives of z with respect to x and y:

∂z/∂x = \(2cosh(xy) * sinh(xy) * y\)  (using the chain rule)

∂z/∂y = \(2cosh(xy) *sinh(xy)*x\)    (using the chain rule)

Next, let's find the derivatives of x and y with respect to t:

dx/dt = 1/2

dy/dt = \(e^{t}\)

Finally, we can use the chain rule to find dz/dt:

dz/dt = (∂z/∂x)(dx/dt) + (∂z/∂y)(dy/dt)

      = \(2cosh(xy) *sinh(xy)*y*(1/2) + 2cosh(xy)*sinh(xy)*x*e^{t}\)

Now, substitute the given expressions for x and y:

\(dz/dt = 2cosh((1/2)t*e^{t} * sinh((1/2)t*e^{t} *(1/2)* + 2cosh((1/2)t*e^{t} *sinh((1/2)t*e^{t} *((1/2)t)\)

Simplifying further, we have:

\(dz/dt = cosh((1/2)t*e^{t} *sinh((1/2)t*e^{t})* e^{t} + cosh((1/2)t* e^{t}*sinh((1/2)t*e^{t}* ((1/2)t)\)

This is the expression for dz/dt using the chain rule with the given values of x and y.

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Answer:

A: 0.3

B: 0.3

Step-by-step explanation:

Basically both answers are the same

The point D would need to be located at (2,-2) for ABCD to be a parallelogram.

To form a parallelogram, we need to know that the opposite sides should be parallel and equal in length. So the vector of AB should be equal and opposite to the vector of CD, and the vector of BC should be equal and opposite to the vector of AD.

Now, let's find out the vectors of AB and BC.AB = B - A = (3 - (-2), 5 - 1) = (5, 4)BC = C - B = (7 - 3, 2 - 5) = (4, -3)The vector of CD will be equal and opposite to AB, so CD = AB = (-5, -4). To find the fourth point D, we will add CD to C.D = C + CD = (7, 2) + (-5, -4) = (2, -2).

Therefore, the point D would need to be located at (2,-2) for ABCD to be a parallelogram.

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Answer:

the answer to that question is 11/16

Using the probability principle, the probability of picking two tiles which sums above 7 is 11/16.

Recall :

The only way to choose two tiles which sums up to a number greater than 7 would be :

Since selection is performed with replacement ;

The probability of choosing two tiles whose sum is greater than 7 ;

Hence, probability of choosing tiles with a sum greater than 7 is 11/16

Therefore, the probability of picking two tiles which sums above 7 is 11/16.

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Answer:

Translate this: Untuk memilih ketua, bendahara, dan sekretaris dari 10 anggota OSIS, kita dapat menggunakan kombinasi.

Jumlah cara menyusun susunan adalah:

C(10, 1) x C(9, 1) x C(8, 1) = 10 x 9 x 8 = 720

Jadi, ada 720 cara yang berbeda untuk menyusun ketua, bendahara, dan sekretaris dari 10 anggota OSIS.

Step-by-step explanation:

Answer:

The new coordinates are : (5,4)

Step-by-step explanation:

Answer:

greater than 90°.

Step-by-step explanation:

Answer:

The answer would be the first choice, less than 90°.

Step-by-step explanation:

The angles within a triangle add up to 180°.  If an angle is obtuse in the triangle (greater than 90°), it is impossible for the other angles to be obtuse or equal to 90°.

Answer:

bruh i think EVERYBODY is at least failing one class rn

Step-by-step explanation:

The probability of hitting the bullseye if the dart is thrown 40 times is approx. 3 times.

The quantity of occurrences of an event is referred to as its frequency. The concept of relative frequency is experimental rather than theoretical. It is experimental, therefore if we repeat the trials, we can get different relative frequencies. To determine the frequency, we must first:

Number of occurrences for the entire population

Frequency count for a particular demographic segment

If we know the two frequencies mentioned above, we can use the following formula to get the relative frequency probability. A subgroup's formula is as follows:

Subgroup Count / Overall Count: Relative Frequency

Given that, a player hits the bullseye with a dart 8% of the time.

The probability of hitting the dart is = 8/100.

Now, the probability of hitting the bullseye if the dart is thrown 40 times is:

p = 40 (8/100) = 3.2 times = 3 times.

Hence, the probability of hitting the bullseye if the dart is thrown 40 times is approx. 3 times.

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The given statement exists true. A matrix is broken down into orthogonal (Q) and upper triangular (R) matrices in a process known as QR decomposition (factorization).

A matrix can be expressed as the union of two distinct matrices, Q and R, using the QR matrix decomposition. R is a square upper/right triangular matrix and Q is an orthogonal matrix. R is also invertible because it is square and doesn't have zeros in its diagonal entries.

A matrix is broken down into orthogonal (Q) and upper triangular (R) matrices in a process known as QR decomposition (factorization). Finding eigenvalues and solving linear least squares problems both use QR factorization.

A = QR. Be aware that the QR-factorization of a rectangular matrix A is sometimes understood with Q square and R rectangular rather than Q rectangular and R square, as with the MATLAB command qr.

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The proof for each theorem is matched as;

<EFC is a right angle: Definition of a right angle

m<EFC = 90; Definition of a tangent line

m<EFC + m<FEC + m<ECF = 180 degrees; triangle sum theorem

90 + m<FEC + m<ECF = 180; substitution property of equality

m<FEC + m<ECF = 90; substitution property of equality

m<FEC + m<ECF = definition of complementary angles

To determine the values, we need to know the following;

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Answer:

A proportion is an equality of two ratios.

...

Things to remember

Determine whether the ratio is part to part or part to whole.

Calculate the parts and the whole if needed.

Plug values into the ratio.

Simplify the ratio if needed. Integer-to-integer ratios are preferred.

The most negative number corresponds to the variable that has the largest impact on the Value of the objective function. So, maximizing it first is most efficient.

What is pivot column in simplex method?

The Simplex method's pivot column is selected by the fundamental variable's biggest reduced cost coefficient. 4. The highest ratio of right side parameters to positive coefficients in the pivot column determines the pivot row in the Simplex approach.

A location of a leading entry in the matrix's echelon structure. A pivot is a non-zero number that is either transformed into a leading 1 and then used to make 0s, or it is utilized in a pivot position to create 0s.

The element of a matrix or array chosen first by an algorithm (such as Gaussian elimination, simplex algorithm, etc.) to do particular computations is known as the pivot or pivot element.

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Event A and B = 4

Event A or B = 2, 3, 4, 5, 6, 8

Complement of Event B = 1, 2, 7, 8

Event A: The marble selected has an even number.

The even numbers from 1 to 8 are 2, 4, 6, and 8. Therefore, the outcomes for Event A are: 2, 4, 6, 8.

Event B: The marble selected has a number from 3 to 6.

The numbers from 3 to 6 are 3, 4, 5, and 6. Therefore, the outcomes for Event B are: 3, 4, 5, 6.

Event A and B:

The outcomes that satisfy both Event A and Event B are the numbers that are both even and from 3 to 6. In this case, the only number that satisfies both conditions is 4.

Therefore, the outcome for Event A and B is: 4.

Event A or B:

The outcomes for Event A or Event B are the numbers that satisfy either Event A or Event B or both.

Combining the outcomes from Event A and Event B, we have: 2, 3, 4, 5, 6, 8.

Complement of Event B:

The complement of an event includes all the outcomes that are not part of the event.

In this case, the complement of Event B includes the numbers that are not from 3 to 6.

Therefore, the outcomes for the complement of Event B are: 1, 2, 7, 8.

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Complete question

A marble is selected from a bag containing eight marbles numbered 1 to 8.

The number on the marble selected will be recorded as the outcome.

Consider the following events.

Event A: The marble selected has an even number.

Event B: The marble selected has a number from 3 to 6.

Give the outcomes for each of the following events.

If there is more than one element in the set, separate them with commas.

Event A and B =

Event A or B =

Complement of the event B=

Answer:

x = 2

Step-by-step explanation:

First distribute:

-3 (x+4) = 6(-x-1)

-3x -12 = -6x -6

Isolate the variable:

-6 = -3x

Simplify:

-6/3 = x

x = 2

Hope this helps!

Answer:

133°

Step-by-step explanation:

Exterior Angle Theorem states that the sum of the two remote interior angles is equal to the exterior angle of the triangle.

Step 1: Combine like terms.

Step 2: Subtract x from both sides.

Step 3: Subtract 13 from both sides.

Step 4: Divide both sides by 2.

Step 5: Plug in 40 in 3x + 13.

Therefore, the answer is 133°.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

133°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

3x + 13 is an exterior angle of the triangle , then

3x + 13 = x + 10 + 83 , that is

3x + 13 = x + 93 ( subtract x from both sides )

2x + 13 = 93 ( subtract 13 from both sides )

2x = 80 ( divide both sides by 2 )

x = 40

Then

exterior angle = 3x + 13 = 3(40) + 13 = 120 + 13 = 133°

Answer:

No

Step-by-step explanation:

From the information provided, we can say that he is not correct. This is because the depth of the water is the only measurement that he is using to make his estimate. Comparing the depth of the aquarium and the bucket is one measurement, but both the aquarium and bucket are most likely of different shapes and sizes. Therefore, this equates to more buckets for the same amount of depth in the aquarium. To get a proper estimate on how long it will take he needs to calculate the volume of water in the bucket and compare it to the volume of water needed to fill the aquarium.

As per the combination method, there are 15 different ways are possible for this situation.

Combination method:

Combination method also known as NCR is a formula of combination and arrangement, where the object's order does not matter so much.

Given,

Here we have to find the number of ways to be selected as the best student and another student is to be selected as a runner-up among the 6 students.

Here we know that that the value of

Total number of students = 6

Best student = 1

Runner - up = 1

So, as per the NCR formula, the value of n = 6 and the value of r = 2

Then the possible combinations are calculated as,

=> ⁶C₂ = 6! / 2!(6 - 2)!

=> ⁶C₂ = 6!/2!4!

=>⁶C₂ = 15

Therefore, the resulting number of ways is 15.

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Answer:

Rs 2,or 2%profit

Step-by-step explanation:

the price he marked:

\(100 \times \frac{120}{100} = 120\)

(20 percent more than cost price)

The discount he put: 15 percent

\(120 \times \frac{85}{100} \)

Rs102

102 is 2 more than 100

and is 2%profit.

Brainliest please

Answer:

D

Step-by-step explanation:

I would have to assume its D since the starting point is (-7, 5) and the slope is 1/2, since it is a positive slope it would reach (13, 9)

The linear model for the snow (S) in terms of hours (h) during the snowstorm is S = 2h + 8, where S represents the snow in inches and h represents the number of hours since the start of the snowstorm.

To write a linear model for the snow (S) in terms of hours (h) during the snowstorm at the ski resort, we can use the information given:

The initial amount of snow on the ground when the snowstorm began is 8 inches.

The snow is falling at a rate of 2 inches per hour.

Based on this information, we can establish the following linear relationship:

S = 2h + 8

In this linear model, 'S' represents the amount of snow in inches, and 'h' represents the number of hours since the start of the snowstorm. The coefficient of 'h' is 2, representing the rate of snowfall per hour. The constant term 8 represents the initial amount of snow on the ground before the snowstorm started.

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Answer:

  a) 2.5

  b) 6.25

Step-by-step explanation:

For similar figures, the ratio of any corresponding linear dimensions is the same. The ratio of areas is the square of that.

The ratio of linear dimensions, larger to smaller, is ...

  (30 yd)/(12 yd) = 2.5

Perimeter is a linear dimension, the sum of side lengths. The ratio of perimeters is 2.5.

The ratio of areas, larger to smaller, is the square of the scale factor for side lengths:

  (2.5)² = 6.25

The ratio of the areas of the larger to smaller figure is 6.25.