In AABC, a = 3, b = 8, and m/C= 60. Find the length of side c

Answer:

4 or 8, depending on how you interpret the questions

Step-by-step explanation:

In order to break even, they have to sell 4 widgets.  In other words, to make back the $200 they spent on design, they have to sell 4 widgets.  Anything over that is profit.  This assumes the entire $50 selling price goes to profit (no other information was given).

x = number of widgets

50x ≥ 200

x ≥ 4

To make another $200 above the break even, they have to sell 4 more widgets for a total of 8.

Step-by-step explanation:

given,

the complete angle is complementry angle which is 90°

let the first angle be x and second angle be 7x ( as second angle is 7 times more than first angle )

now,

→ x + 7x = 90

→ 8x = 90

→ x = 90/8 = 11.25

therefore

1st angle = x = 11.25°

2nd angle = 7x = 7 × 11.25 = 78.75°

hope this answer helps you dear take care and may u have a great day ahead!

The scale factor of the dilation of figure A to figure B is 3/2 based on the given parameters

Dilation involves enlarging or reducing the side length of a shape to create another shape by a constant scale factor, where the scale factor does not equal one.

From the figure, we have the following corresponding sides in figure A and figure B

The scale factor of the dilation of figure A to figure B is calculated using the following scale factor formula

Scale factor = Figure B / Figure A

Substitute the known values in the above equation

Scale factor = 12/8

Divide 12 by 4 and then divide 8 by 4

Scale factor = 3/2

Based on the given parameters, the scale factor of the dilation of figure A to figure B is 3/2

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Answer:

error in step 1

Step-by-step explanation:

well where is does the step not make sense?

remember cos(pi) = -1 and sin(pi)=0

that means step 1 is strange... it didn't distribute properly

it should have been:

cos(pi) - cos(A)

hope that helps! ^-^

The error is made at step 1). The correct trigonometric identity is cos(π - A) = cosπcosA + sinπsinA.

Trigonometric identities are equalities that involve trigonometric functions and are true for every value of the occurring variables for which both sides of the equality are defined.

cos(π - A) = cosπcosA + sinπsinA

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Based on the 1.5 × IQR rule for outliers, there is no evidence to support the student's claim because there is only one outlier at 58 minutes.

The interquartile range is the difference between upper and lower quartiles. The semi-interquartile range is half the interquartile range. When the data set is small, it is simple to identify the values of quartiles.

Mathematically, interquartile range (IQR) is the difference between quartile 1 (Q₁) and quartile 3 (Q₃):

IQR = Q₃ - Q₁

The following interquartile ranges was calculated by using Excel:

Q₃ = 31.5

Q₁ = 20.5

Now, the interquartile range (IQR) is given by:

IQR = Q₃ - Q₁

IQR = 31.5 - 20.5

IQR = 11

Based on the 1.5 × IQR rule for outliers, we have:

1.5 × IQR = 1.5 × 11 = 16.5

Therefore, our fences will be 16.5 points below Q₁ and 16.5 points above Q₃:

Lower fence = 20.5 - 16.5 = 4.5

Upper fence = 4.5 + 31.5 = 36.

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20 years is the answer.

\(\text{A = R}(1+\text{r})^\text{t}\)

\(\text{A}=415\)    

\(\text{R}=230\)

\(\text{r}=3\%\)

\(415=230 \ (1+3\%)^ t\)

\(\text{t = log}1.03 \ \ \ \dfrac{315}{230}\)

t=19.89 (use calculator)

David will invest at least 20 years.

An investment is a dedication of an asset to achieve an increase in value over a period of time. Investing requires the sacrifice of current assets such as time, money and effort. In finance, the purpose of an investment is to generate a profit on the invested asset

The most common example of an investment type. Investment is generally what you want to use in the future with the aim of generating regular cash flow or increasing the value of something over time so that you can sell it at a higher price than you purchased.

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The measure of an exterior angle of a triangle is equal to the measure of its neighboring interior angle if both measure 90 degrees, according to the theory of supplementary angles.

If the sums of two angles equal 180 degrees, they are said to be supplementary.

However, two angles do not need to be near one another in order to be complementary.

If two angles' measures sum up to 180 degrees, they are said to be supplementary.

A triangle's outside angle complements the neighboring inner angle.

The adjacent internal angle will therefore likewise be 90 degrees if the exterior angle is.

Therefore, the measure of an exterior angle of a triangle is equal to the measure of its neighboring interior angle if both measure 90 degrees, according to the theory of supplementary angles.

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Correct question:
Can the measure of an exterior angle of a triangle ever equal the measure of its adjacent interior angle? Explain in 2-3 sentences.

In linear equation with two variables "ax + by = c", a and b cannot be equal to Zero. which is the correct answer would be an option (A).

In a linear equation with two variables "ax + by = c", a and b can be any real numbers, including zero and integers. They can also be irrational numbers or rational numbers.

There is no restriction on the values of a and b in this equation.

As per the question, the following are all valid linear equations :

x + 0y = 2 ⇒ x = 2

0x + y = 1 ⇒ y = 1

Here above linear equations having only one variable so a and b cannot be equal to zero.

Thus, in a two-variable linear equation, a and b cannot be equal to zero.

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Answer:

6.3

Step-by-step explanation:

This is a right triangle, so in order to solve you can use the Pythagorean theorem; which is a² + b² = c² (The hypotenuse, or the longest side, equals C.  A and B equal the legs, or the shorter sides.)  So once you plug in the values, your equation should look like this:

3² + b² = 7²

Square each side, or in other words multiply it by itself.  

9 + b² = 49

Subtract 9 from both sides.  

b² = 40

Take the square root of 40 and your done!

b = 6.3

I hope this helped you!  :)

Answer:

Huhhhhhhhhhhhh 4x and 5x

Answer:

\(-y^2+6y+16\)

Step-by-step explanation:

\(-(y+2)(y-8)\)

\(-1(y+2) \times (y-8)\)

\((-y-2)\times (y-8)\)

\(-y(y-8)-2(y-8)\)

\(-y^2+8y-2y+16\)

\(-y^2+6y+16\)

The measure of the indicated angle to the nearest degree is D) 34°.

If one angle in a triangle is 90 degrees, then the sum of the other two angles must be 90 degrees as well since the angles in a triangle add up to 180 degrees.

A) 56°: This angle is already one of the known angles, not the remaining angle.

B) 48°: This angle cannot be the remaining angle since we already have a 56-degree angle, and the sum of the remaining two angles should be 180 - 90 - 56 = 34 degrees.

C) 42°: This angle cannot be the remaining angle since we already have a 56-degree angle, and the sum of the remaining two angles should be 180 - 90 - 56 = 34 degrees.

D) 34°: This angle can be the remaining angle. If one angle is 90 degrees and another angle is 56 degrees, then the remaining angle would be 180 - 90 - 56 = 34 degrees.

Therefore, the measure of the indicated angle to the nearest degree is D) 34°.

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Answer:

(4, -4) = (x, y) = A

Step-by-step explanation:

 5x + 2y = 12

- (5x - 2y = 28)

4y = -16

y = -4

5x + 2(-4) = 12

5x - 8 = 12

5x = 20

x = 4

can see picture but i tried sorry

Answer:

15cents.

Step-by-step explanation:

The cost of yogurt is $0.75

20% of this amount is the profit to the company

Profit = \(\frac{20}{100} * 0.75\)

          = $0.15

So the profit to the company is 15cents.

Answer:

78

Step-by-step explanation:

Answer:

1738

Step-by-step explanation:

Melissa has $11 remaining after purchasing 3.6 pounds of candy that cost $2.50 per pound.

Two or more expressions with an Equal sign is called as Equation.

Melissa had $20 to purchase candy for a party.

She purchased 3.6 pounds of candy that cost $2.50 per pound

Melissa spent 3.6 x $2.50

= 9 on candy.

Subtracting this amount from her initial $20, we get:

$20 - $9 = $11

Therefore, Melissa has $11 remaining after purchasing 3.6 pounds of candy that cost $2.50 per pound.

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Answer:

14<14*1.5

Step-by-step explanation:

This is because 14*1.5 is 21. 21 is greater than 14. I hope this helped you out!!

Answer:

y = -3/2 + 7

Step-by-step explanation:

The line crosses the y-axis at 7. Meaning b is 7. the line goes down by 3 and to the right by 2, so the slope is -3/2

Since the discriminant is negative, the equation has no real roots and therefore the function does not have any x-intercepts.

Why it is?

To analyze the function f(x) = 2x² + 12x + 2001:

   Axis of Symmetry: The axis of symmetry of a parabola is given by the equation x = -b/2a. In this case, a = 2 and b = 12, so the axis of symmetry is x = -12/(2*2) = -3.

   Vertex: The vertex of a parabola is located on the axis of symmetry. Using x = -3 as the axis of symmetry, we can find the y-coordinate of the vertex by plugging it into the function: f(-3) = 2(-3)² + 12(-3) + 2001 = 1983. Therefore, the vertex is (-3, 1983).

   Max or Min: Since the coefficient of the x² term is positive, the parabola opens upwards, so the vertex is a minimum point. Therefore, the function has a minimum value at x = -3.

   Y-Intercept: To find the y-intercept, we set x = 0: f(0) = 2(0)² + 12(0) + 2001 = 2001. Therefore, the y-intercept is (0, 2001).

   X-intercepts: To find the x-intercepts, we set f(x) = 0 and solve for x: 2x² + 12x + 2001 = 0. This quadratic equation does not factor, so we can use the quadratic formula: x = (-b ± √(b² - 4ac)) / 2a. Plugging in the values, we get:

x = (-12 ± √(12² - 4(2)(2001))) / (2*2) = (-12 ± √(144 - 16008)) / 4

x = (-12 ± √(-15864)) / 4

Since the discriminant is negative, the equation has no real roots and therefore the function does not have any x-intercepts.

   Increasing Interval: The function is increasing to the left of the vertex and decreasing to the right of the vertex. Therefore, the increasing interval is (-∞, -3).

   Decreasing Interval: The decreasing interval is (-3, ∞).

   End Behavior: As x approaches positive or negative infinity, the dominant term of the function becomes 2x², which grows without bound. Therefore, the end behavior of the function is that it approaches positive infinity as x approaches either positive or negative infinity.

   Positive Interval: The function is positive everywhere since the coefficient of the x² term is positive.

   Negative Intervals: The function does not have any negative intervals since it is positive everywhere.

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If we use alpha as the criteria or critical value for the maximum probability of incorrectly rejecting the null hypothesis, then when the p-value is less than alpha, the null hypothesis is rejected.

If we use alpha as the criteria or critical value for the maximum probability of incorrectly rejecting the null hypothesis, then when the p-value is less than alpha, the null hypothesis is rejected. This means that there is strong evidence to suggest that the alternative hypothesis is true and that the data set supports this conclusion. Therefore, we can conclude that the null hypothesis is not supported by the data and that we can reject it.
If we use alpha as the criteria or critical value for the maximum probability of incorrectly rejecting the null hypothesis, then when the p-value is less than alpha, the null hypothesis is rejected.

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Answer:

To convert gallons to liters, we need to multiply the number of gallons by 3.78541, which is the conversion factor.

Capacity in liters = 16 gallons * 3.78541 liters/gallon

Capacity in liters = 60.56 liters (rounded to the nearest tenth)

Therefore, the capacity of the gas tank in liters is approximately 60.6 liters.

Answer:

60.6

Step-by-step explanation:

First, we find how many liters there are in a gallon. We find there are 3.78541178 liters in a gallon. 16*3.78541178 =60.5665885 Rounding to the nearest tenth, we get 60.6 as our answer.

Answer:

2.5 sec

Step-by-step explanation:

Height of wall = 2.5 m

initial speed of ball = 14 m/s

height from which ball is kicked = 0.4 m

we calculate the speed of the ball at the height that matches the wall first

height that matches wall = 2.5 - 0.4 = 2.1 m

using \(V^{2}\) = \(U^{2}\) + 2as

where a = acceleration due to gravity = -9.81 m/s^2 (negative in upwards movement)

\(V^{2}\) = \(14^{2}\) + 2(-9.81 x 2.1)

\(V^{2}\) = 196 - 41.202

\(V^{2}\) = 154.8

v = \(\sqrt{154.8}\) = 12.44 m/s

this is the velocity of the ball at exactly the point where the wall ends.

At the maximum height, the speed of the ball becomes zero

therefore,

u = 12.44 m/s

v = 0 m/s

a = -9.81 m/s^2

t = ?

using V = U + at

0 = 12.44 - 9.81t

-12.44 = -9.81

t = -12.44/-9.81

t = 1.27 s

the maximum height the ball reaches will be gotten with

\(V^{2}\) = \(U^{2}\) + 2as

a = -9.81 m/s^2

0 = \(14^{2}\) + 2(-9.81s)

0 = 196 - 19.62s

s = -196/-19.62 = 9.99 m. This the maximum height reached by the ball.

height from maximum height to height of ball = 9.99 - 2.5 = 7.49 m

we calculate for the time taken for the ball to travel down this height

a = 9.81 m/s^2 (positive in downwards movement)

u = 0

s = 7.49 m

using s = ut + \(\frac{1}{2}\)a\(t^{2}\)

7.49 = (0 x t) +  \(\frac{1}{2}\)(9.81 x \(t^{2}\) )

7.49 = 0 + 4.9\(t^{2}\)

\(t^{2}\)  = 7.49/4.9 = 1.53

t = \(\sqrt{1.53}\) = 1.23 sec

Total time spent above wall = 1.27 s + 1.23 s = 2.5 sec

The probabilities as follows:

A. P(F2|F1) = 0.3 (30%)

B. P(F1|F2) = 0.25 (25%)

C. P(F1 or F2) = 0.19 (19%)

D. P(not F1 and not F2) = 0.81 (81%)

To solve this problem, we can use the concept of conditional probability and the principle of inclusion-exclusion.

Given:

P(F1) = 0.10 (Probability of failing at Check Point 1)

P(F2) = 0.12 (Probability of failing at Check Point 2)

P(F1 and F2) = 0.03 (Probability of failing at both Check Point 1 and Check Point 2)

A. To find the probability that an item failed at Check Point 1 and also failed at Check Point 2 (F2|F1), we use the formula for conditional probability:

P(F2|F1) = P(F1 and F2) / P(F1)

Substituting the given values:

P(F2|F1) = 0.03 / 0.10

P(F2|F1) = 0.3

Therefore, the probability that an item failed at Check Point 1 and also failed at Check Point 2 is 0.3 or 30%.

B. To find the probability that an item failed at Check Point 2 given that it failed at Check Point 1 (F1|F2), we use the same formula:

P(F1|F2) = P(F1 and F2) / P(F2)

Substituting the given values:

P(F1|F2) = 0.03 / 0.12

P(F1|F2) = 0.25

Therefore, the probability that an item failed at Check Point 2 and also failed at Check Point 1 is 0.25 or 25%.

C. To find the probability that an item failed at either Check Point 1 or Check Point 2 (F1 or F2), we can use the principle of inclusion-exclusion:

P(F1 or F2) = P(F1) + P(F2) - P(F1 and F2)

Substituting the given values:

P(F1 or F2) =\(0.10 + 0.12 - 0.03\)

P(F1 or F2) = 0.19

Therefore, the probability that an item failed at either Check Point 1 or Check Point 2 is 0.19 or 19%.

D. To find the probability that an item failed at neither of the check points (not F1 and not F2), we can subtract the probability of failing from 1:

P(not F1 and not F2) = 1 - P(F1 or F2)

Substituting the previously calculated value:

P(not F1 and not F2) = 1 - 0.19

P(not F1 and not F2) = 0.81

Therefore, the probability that an item failed at neither Check Point 1 nor Check Point 2 is 0.81 or 81%.

In conclusion, we have calculated the probabilities as follows:

A. P(F2|F1) = 0.3 (30%)

B. P(F1|F2) = 0.25 (25%)

C. P(F1 or F2) = 0.19 (19%)

D. P(not F1 and not F2) = 0.81 (81%)

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Based on the results of the simulation, the probability that Michaela will walk animals on:

a. both days = 1/6

b. one day only = 2/3

c. at least one day = 5/6

Probability is simply how likely something is to happen.

Grooming = 0, 1, 2

Walking = 3, 4, 5, 6, 7

Cleaning = 8, 9

Based on the data generated in simulation, categorizing it into "Michael will walk animals zero days/ one day only/ both days based on the digit categorization given above.

(2,9) - zero days

(5,2) - one day

(3,9) - one day

(0,1) - zero days

(8,3) -one day

(0,5) - one day

(8,3) - one day

(6,8) - one day

(4,7) - two days

(7,4) - two days

(1,5) - one day

Probability that Michaela will walk animals both days = \(\frac{2}{12} = \frac{1}{6}\)

Probability that Michaela will walk animals one day only = \(\frac{8}{12} = \frac{2}{3}\)

Probability that Michaela will walk animals at least one day = Probability that Michaela will walk animals one day only + Probability that Michaela will walk animals two days only  = \(\frac{8}{12}+ \frac{2}{12} = \frac{10}{12} = \frac{5}{6}\)

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Answer:

50.00-3.75n = b

Step-by-step explanation:

50.00 is the beginning balance she has on the gift card.

If she spends 3.75 every visit, and n represents the number of visits, then 3.75n will tell you how much she has spent with each visit.

1 visit: 50.00 - 3.75(1) = 46.25

2 visits: 50.00 - 3.75(2) = 42.50

3 visits: 50.00 - 3.75(3) = 38.75

The addition of the new clerk, a customer can expect to spend approximately 36 minutes in the department if there are 12 customers present.

To determine the total time a customer can expect to spend in the camera department, we need to consider the average time it takes for each clerk to serve a customer and the number of customers in the department.

Let's assume that there is only one clerk initially, taking an average of six minutes to serve each arrival. This means that a customer would spend approximately six minutes in the department.

Now, with the addition of another clerk who also takes an average of six minutes to serve each arrival, the overall service time will decrease. Since there are two clerks, the total time spent in the department can be reduced.

To calculate the new total time, we need to consider the concept of parallel processing. With two clerks working simultaneously, they can serve customers concurrently, effectively reducing the waiting time.

Assuming the arrival rate of customers is constant, the time a customer spends in the department can be estimated using the following formula:

Total time = (Number of customers / Number of clerks) * Average service time

Since we don't have the specific number of customers, we can't provide an exact value for the total time. However, we can provide an example calculation.

Let's say there are 12 customers in the department. With two clerks, the total time spent can be calculated as:

Total time = (12 customers / 2 clerks) * 6 minutes = 36 minutes

Therefore, with the addition of the new clerk, a customer can expect to spend approximately 36 minutes in the department if there are 12 customers present.

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