An angle measures 69.8° more than the measure of its complementary angle. What is the measure of each angle?

The number of ways to form a 6-member fund-raising committee with at most 2 accounting majors and accounting and finance majors is determined by considering three cases and calculating the possibilities in each case.

To form the fund-raising committee with at most 2 accounting majors, we consider the following cases:

Case 1: No accounting majors on the committee

The committee will consist of 6 finance majors, which can be chosen in (8 choose 6) ways.

Case 2: Exactly 1 accounting major on the committee

The committee will have 1 accounting major and 5 finance majors. The accounting major can be chosen in (10 choose 1) ways, and the finance majors can be chosen in (8 choose 5) ways.

Case 3: Exactly 2 accounting majors on the committee

The committee will have 2 accounting majors and 4 finance majors. The accounting majors can be chosen in (10 choose 2) ways, and the finance majors can be chosen in (8 choose 4) ways.

To find the total number of ways, we add up the possibilities from each case:

Total number of ways = (8 choose 6) + (10 choose 1) * (8 choose 5) + (10 choose 2) * (8 choose 4).

By evaluating this expression, we can determine the number of ways the fund-raising committee can be formed.

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By Quadratic Formula factors of \(a^2+4b^2\) are \((a+2bi),(a-2bi)\).

The quadratic formula in elementary algebra is a formula that gives the solution(s) to a quadratic equation. In addition to the quadratic formula, there are various methods for solving quadratic equations, including factoring (direct factoring, grouping, and the AC technique), completing the square, graphing, and others.

The following general quadratic equation is given:

\(ax^2+bx+c=0\)

The quadratic formula is:

\(x=\frac{-b+\sqrt{b^2-4ac} }{2a}, \frac{-b-\sqrt{b^2-4ac} }{2a}\);

where x stands for an unknown, a, b, and c are constants, and a≠0.

Each of these two answers is also referred to as a quadratic equation root (or zero). These roots, which are clearly stated as \(y = ax^2 + bx + c\), are the x-values at which any parabola crosses the x-axis geometrically.

Given;

\(y=a^2+4b^2;\\\)

By comparing this with general equation \(x=a,a=1,b=0,\)\(c=4b^2\)

By substituting in the formula;

\(x=\frac{-0+\sqrt{(0)^2-4(1)(4b^2)} }{2(1)} =2bi\\(or) x=\frac{-0-\sqrt{(0)^2-4(1)(4b^2)} }{2(1)} =-2bi\)

That gives us;

\(y=(a+2bi)(a-2bi)\)

By Quadratic Formula factors of \(a^2+4b^2\) are \((a+2bi),(a-2bi)\).

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The percentage of melon in Salma's and Luke's fruit salads will be roughly 57% and 58%, respectively. Luke's fruit salad will consequently taste more melon-like.

This technique allows us to calculate both the value of multiple units from the value of a single unit and the value of single unit from the value of multiple units.

A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary technique.

We typically utilize this technique for math calculations.

This approach will be helpful to you while tackling problems involving ratio and proportion, algebra, geometry, etc.

According to our question-

Out of the 7 cups of fruit, Salma uses 4 cups of melons. 4/7 is around 57%.

Out of the 12 cups of fruit, Luke uses 7 cups of melons. Around 58 percent is 7/12.

Hence, The percentage of melon in Salma's and Luke's fruit salads will be roughly 57% and 58%, respectively. Luke's fruit salad will consequently taste more melon-like.

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In a rectangle having an area of 36 cm, if the length is three times more than the width of the rectangle is approximately 3.46 cm.

Let's assume that the width of the rectangle is "w" cm-

According to the problem, the length of the rectangle is three times longer than the width. Therefore, the length of the rectangle would be 3w cm.

The area of the rectangle is given as 36 cm². We know that the formula for the area of a rectangle is A = length x width.

So, we can substitute the values we have and get:-

36 = (3w) x w

Simplifying the equation, we get:-

36 = 3w²

Dividing both sides by 3, we get--

12 = w²

Taking the square root of both sides, we get--

w = √12

w ≈ 3.46

Therefore, the width of the rectangle is approximately 3.46 cm.

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Answer:

25.0

Step-by-step explanation:

Notice that points A, B, and C form a right triangle. This allows us to use the Pythagorean theorem, a^2 + b^2 = c^2, to find the missing side. AB is the hypotenuse, so substitute 55 for c, and BC is the leg, so substitute 49 into either a or b in the formula.

a^2 + b^2 = c^2

49^2 + b^2 = 55^2

b^2 = 3025 - 2401

b^2 = 624

b = sqrt (624)

b = 24.9799919936

Step-by-step explanation:

point x at 2 and point y at -4

Answer:

y=-6x+360

Step-by-step explanation:

The y intercept, b, is easy; its already listed as 360.

The slope we find by using some points:

300-360

10-0

=

-60

10

=

m=-6

y=mx+b

y=-6x+360

Answer:

b

Step-by-step explanation:

Answer:

\((x^{2} +5)^{2}\)

Answer:

7x + 8y = 16

Step-by-step explanation:

You need to get the slope of the given line.  

The line is in standard form ax + by = c

The slope = -a/b.  (That's a little formula you can use to find the slope when the line is in standard form)

In this problem,  m = - 7/8

Since the line we are trying to find is parallel, it has a slope of -7/8

Now use the point-slope form

y - (-12) = -7/8(x - 16)    Multiply thru by 8 to remove the fractions

8(y + 12) = -7(x - 16)

8y + 96 = - 7x + 112

7x + 8y = 16

Answer:

obviously he's lazy like dude come on exercise big balloon any way just divide 14 by 20

Step-by-step explanation

Answer:

divide 14 by 20

Step-by-step explanation:

I saw the other answer.

Control charts are used to monitor and identify when a process is out of control. There are several situations that indicate an out-of-control process, and these can be recognized on a control chart. Here are five such situations:

A point falls outside the control limits: If a data point falls above the upper control limit or below the lower control limit, it indicates that the process is out of control. This suggests that there may be a significant change or variation in the process.

Nonrandom patterns: Nonrandom patterns in the data points on a control chart, such as a consistent upward or downward trend, cycles, or oscillations, suggest that the process is not stable. These patterns indicate the presence of special causes of variation.

Runs and streaks: A run or streak refers to a series of consecutive data points that are either above or below the central line on the control chart. Runs or streaks suggest a lack of randomness and indicate that the process is not in control.

Lack of points within control limits: If there are long stretches of data points that are consistently clustered near one control limit or the central line without points within the control limits, it suggests that the process is not stable and may be exhibiting a systematic bias or shift.

Excessive variation: If there is excessive variation in the data points on the control chart, indicated by a wide spread of points around the central line, it suggests that the process is not under control. This can be recognized when the data points exceed the expected range of variation. These situations provide clear indications that a process is out of control and requires investigation and corrective actions to address the underlying causes of the variations. Control charts help in quickly identifying these situations and facilitating timely interventions to maintain process stability and quality.

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123456789012345678900987654321123456

Answer: the value of x is 9 and the value of y is 9 there you have your answer

Step-by-step explanation:

It took both Sandy and Tom 54 seconds to cover the same distance.

We can set up an equation based on their relative speed

Take the supposition that Tom needs "t" seconds to travel the distance. Sandy started jogging 12 seconds before Tom, so it will take her "t + 12" seconds longer to complete the same distance.

To determine the distance traveled by Sandy, multiply her speed (7 meters per second) by her time (t + 12) seconds. Tom's distance traveled may be determined by dividing his speed (9 meters per second) by his time (t) seconds.

Equating the distances covered by Sandy and Tom:

7(t + 12) = 9t

Expanding the equation:

7t + 84 = 9t

Subtracting 7t from both sides:

84 = 2t

Dividing both sides by 2:

t = 42

Tom traveled the distance in 42 seconds as a result. We add the 12-second lead Sandy had to determine the time it took for both Sandy and Tom to travel the same distance:

t + 12 = 42 + 12 = 54

So, it took both Sandy and Tom 54 seconds to cover the same distance.

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The value of the highlighted interior angle is 130 degrees.

What are interior angles ?

In geometry, interior angles are angles that are formed inside a polygon. For a polygon with n sides, there are n-2 interior angles. The sum of the interior angles of a polygon depends on the number of sides it has.

For example, in a triangle (a polygon with 3 sides), there are 3 interior angles. The sum of these angles is always 180 degrees.

In a quadrilateral (a polygon with 4 sides), there are 4 interior angles. The sum of these angles is always 360 degrees.

In a pentagon (a polygon with 5 sides), there are 5 interior angles. The sum of these angles is always 540 degrees.

According to the question:

When two parallel lines are intersected by a transversal, the alternate interior angles are congruent.

Therefore, we can write:

angle A = angle B

Substituting the given expressions for angle A and angle B, we get:

19x - 3 = 18x + 4

Solving for x, we get:

x = 7

Substituting x = 7 into the expression for angle B, we get:

angle B = 18x + 4 = 18(7) + 4 = 130

Therefore, the value of the highlighted angle is 130 degrees.

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Answer: 60°C

Step-by-step explanation:

Because you would find the absolute number of the negative so it would be 13 instead of -13 and then you add it to 47..... 13+47=60

Hi Student!

The first step that we need to take before solving this problem is understand what we need to do and what information we are given to do that.  So first they are asking for us to determine the solution (or find theta) in both degrees and radians.  The information that is given to us is the equation \(8* cos (\theta) = 4\).

After completing the initial step, the next step is to actually start solving the equation for the unknown which in this case is theta or the angle.

Divide both sides by 8

Multiply by the inverse of cos

After solving for the unknown or theta, we were able to determine that the solution for our equation is 60 degrees.  Now we can move onto the final step which is to convert our answer to radians to complete the final part of the problem statement.

We can convert from degrees to radians by multiplying by π/180 which would get rid of degrees and give us radians.

Plug in the values

Simplify the expression

Therefore, our final answer is that our solution in degrees is 60 degrees and our solution in radians is π/3.

Answer:

no it's me too haha

Step-by-step explanation:

yes currently i am taking my pre calc final and am definitely failing it

Answer: A

\(256a^{20} b^{24}\)

=πr^2h

=π(5)^2*11

=25*11π

=275π yd^3

Answer:

 \(Arc \ length = 2\pi r \frac{\theta}{360} =\) 172.3m

Step-by-step explanation:

the correct answer is option a 6a-7

Answer:

yes it is equivalent

Step-by-step explanation:

18 ÷10=1.8

5×1.8=9 (which is the numerator of the second fraction/ratio(

Answer:

Yes

Step-by-step explanation:

5/10 and 9/18 are both half

5/10 simplified down (Divide both 5 and 10 by 5) is 1/2

9/18 simplified down (Divide both 9 and 18 by 9) is 1/2

Please give brainliest if I helped at all! :)

If last week Salazar played 13 more tennis games than Perry and they played a combined total of 53 games, then Salazar played a total of 33 games.

Let the total number of games played by Perry be x.

It is given that, Salazar played 13 more tennis games than Perry.

⇒ Total games played by Salazar = x + 13

Also, Salazar and Perry played a combined of 53 games.

Hence, total number of tennis games played by Salazar and Perry = 53

⇒ Games played by Salazar + Games played by Perry = 53

⇒  x + (x + 13) = 53

2x + 13 = 53

2x = 53 - 13

2x = 40

x = 40 / 2

x = 20

Therefore, total number of games played by Salazar = x+13

= 20 + 13

= 33

Thus, Salazar played total 33 games.

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Answer:

it takes 10 ones to make a ten.

Answer: 20 Minutes

Step-by-step explanation:

If you are traveling double the speed, the end time is going to be half of the original time.

The probability of a intersect b, when both are mutually exclusive events is 0.05.

As the question stated-

Let two mutually exclusive events, a and b.

Probability of a is 0.1,

Probability of b is 0.5.

Then,

P(a ∩ b) = P(a).P(b)

P(a ∩ b) = 0.1 x 0.5

P(a ∩ b) = 0.05

Thus, the probability of a intersect b, when both are mutually exclusive events is 0.05.

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Answer: Read the step by step explanation for the answer

Step-by-step explanation:

We can use the Pythagorean theorem to find the hypotenuse of the right triangle formed by the given point (4, 3) and the origin (0, 0):

r = √(4² + 3²) = 5

Then we can use the coordinates of the point (4, 3) to determine the values of the trigonometric functions:

sin(θ) = opposite/hypotenuse = 3/5

cos(θ) = adjacent/hypotenuse = 4/5

tan(θ) = opposite/adjacent = 3/4

csc(θ) = hypotenuse/opposite = 5/3

sec(θ) = hypotenuse/adjacent = 5/4

cot(θ) = adjacent/opposite = 4/3

Therefore, the values of the six trigonometric functions of θ are:

sin(θ) = 3/5

cos(θ) = 4/5

tan(θ) = 3/4

csc(θ) = 5/3

sec(θ) = 5/4

cot(θ) = 4/3

The number of years that will take for the schools to have the same number of students is given as follows:

11 years.

The number of students in each school is modeled by linear functions in slope-intercept format, as follows:

y = mx + b.

In which:

The functions for this problem are given as follows:

They will have the same number of students when:

Sp(t) = Se(t).

Hence:

1074 + 19t = 1206 + 7t

12t = 132

t = 132/12

t = 11 years.

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Answer:

((I do not have the answers for one, two, or four))

3.)

•What do you know?

-It’s about 425 miles from San Jose to Los Angeles and 320 miles from San Jose to Santa Barbara.

•What do you want to find out?

-How many miles it is from Santa Barbara to Los Angeles.

•What kind of answer do you expect?

-If using variable, I expect that I will get the number of miles from one city to the other.

5.)

425 = 320 + X

6.)

425 = 320 + X

Subtract 320 from both sides.

7.)

X = 105

From Santa Barbra to Los Angeles it is 105 miles.

8.)

320 + 105 = 425