select the three correct ways to describe an angle with a measure of 13 degrees

Answer:

Step-by-step explanation:

3

x

−

4

y

+

15

=

0

.

y

=

3

4

x

−

1

2

Correct answers 5.4

Distance from point (2,3) to the line 3x+4y+9=0

=>r=

3

2

+4

2

∣3(2)+4(3)+9∣

=>r=

9+16

∣16+12+9∣

=>r=

5

27

=>r=5.4

Answer:

the answer is C mean absolute deviation

The angle measure explained in the solution.

Given that, a || b, we need to find the missing angles,

∠1 = 42° [vertically opposite angles]

∠3 = 62° [vertically opposite angles]

∠2 = 180°-(∠1+62°) [angle in a straight line]

∠2 = 76°

∠4 = ∠2 [vertically opposite angle]

∠4 = 76°

∠4 = ∠9 = 76° [alternate angles]

∠9 = ∠12 = 76° [vertically opposite angle]

∠3 = ∠ 6 = 62° [alternate angles]

∠ 6 = ∠7 = 62° [vertically opposite angle]

∠3 + ∠5 = 180° [consecutive angles]

∠5 = 118°

∠5 = ∠8 = 118° [vertically opposite angle]

∠4 + ∠10 = 180° [consecutive angles]

∠10 = 104°

∠10 = ∠11 [vertically opposite angle]

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Answer:

yes i can but will have to get back to you in about half a hour just doing maths atm with the teacher

Step-by-step explanation:

The evaluation of equations by resolving into quadratic equations and factoring are presented as follows;

A quadratic equation is an equation which can be expressed as; f(x) = a·x² + b·x + c, where a, b, and c are real numbers and a ≠ 0.

1. √(30 - x) = x

x = √(30 - x)

x² = 30 - x

x² + x - 30 = 0

Factoring the above quadratic equation, we get;

(x + 6)·(x - 5) = 0

2. x = √(42 - x)

x² = 42 - x

x² + x - 42 = 0

(x + 7)·(x - 6) = 0

3. √(12 - r) = r

Squaring both sides of the equation, we get;

(12 - r) = r²

r² = 12 - r

r² + r - 12 = 0

(r + 4)·(r - 3) = 0

4. m = √(56 - m)

m² = 56 - m

m² + m - 56 = 0

(m + 8)·(m - 7) = 0

5. r = √(-1 - 2·r)

r² = -1 - 2·r

r² + 2·r + 1 = 0

(r + 1)² = 0

6. √(4·n + 8) = n + 3

4·n + 8 = (n + 3)² = n² + 6·n + 9

4·n + 8 = n² + 6·n + 9

n² + 6·n + 9 - (4·n + 8) = 0

n² + 6·n + 9 - 4·n - 8 = 0

n² + 2·n + 1 = 0

(n + 1)² = 0

7. -n + √(6·n + 19) = 2

-n + √(6·n + 19) = 2

√(6·n + 19) = n + 2

(6·n + 19) = (n + 2)² = n² + 4·n + 4

6·n + 19 = n² + 4·n + 4

n² + 4·n + 4 = 6·n + 19

n² + 4·n + 4 - (6·n + 19) = 0

n² - 2·n - 15 = 0

(x - 5)·(x + 3) = 0

8. 4 + √(-3·m + 10) = m

√(-3·m + 10) = m - 4

-3·m + 10 = (m - 4)² = m² - 8·m + 16

-3·m + 10 = m² - 8·m + 16

m² - 8·m + 16 = -3·m + 10

m² - 8·m + 16 + 3·m - 10 = 0

m² - 5·m + 6 = 0

(m - 3)·(m - 2) = 0

9. x - 5 = √(x + 1)

Squaring both sides, we get;

(x - 5)² = (√(x + 1))²

(x - 5)² = x + 1

x² - 10·x + 25 = x + 1

x² - 10·x + 25 - (x + 1) = 0

x² - 10·x + 25 - x - 1 = 0

x² - 11·x + 24 = 0

(x - 8)·(x - 3) = 0

10. n - 7 = √(3·n - 21)

(n -7)² = (3·n - 21)

n² - 14·n + 49 = 3·n - 21

n² - 14·n + 49 - (3·n - 21) = 0

n² - 14·n + 49 - 3·n + 21 = 0

n² - 17·n + 70 = 0

(n - 10)·(n - 7) = 0

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Answer:

x = 35

Step-by-step explanation:

since the figures are similar then the ratios of corresponding parts are in proportion, that is

\(\frac{x}{10}\) = \(\frac{14}{4}\) = \(\frac{7}{2}\) ( cross- multiply )

2x = 7 × 10 = 70 ( divide both sides by 2 )

x = 35

Answer:

-3

Step-by-step explanation:

First, identify the different possible ways to multiply 2 monomials and get an m^2 term: we can multiply a constant by an m^2 term, or we can multiply an m term by an m term.

Now, we can identify all the combinations of the products that will give a m^2 term:

m^2*-9=-9m^2

3m*2m=6m^2

Now, we just combine the 2 m^2 terms:

-9m^2+6m^2=-3m^2

Therefore, the coefficient of the term with a degree of 2 is -3.

Answer: 5.49 × 10-4

Step-by-step explanation:

When you move the decimal over move it over to the right by 4 units.

When you move right it is (-) negative. So you get 5.49 x 10-4.

Answer:

9^-3/9^12

Step-by-step explanation:

C. x² - 2x - 4

The four basic mathematical operations are addition, subtraction, multiplication, and division. When completing arithmetic, some operations are performed in a certain order. An operator may take action on one or more operands.

Given a polynomial equation 2x³ -3x² +6x +4 which has to divided by

2x +1. For that, we would use the factorization method.

Hence,

2x³ -3x² +6x +4

2x³ - 4 x² + x² + 8 x -2x + 4

now taking after making pair of two dividing by 2x + 1

((2x³  + x²) +( - 4 x² -2x ) + 8x + 4 ) / (2x + 1)

x² - 2x - 4

Therefore,  x² - 2x - 4 is the answer to the performed operation.

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Using relations in a right triangle, the secant of angle θ is given by:

D. 5/4.

The relations in a right triangle are given as follows:

Using the Pythagorean Theorem, the hypotenuse of the triangle is given as follows:

h² = 9² + 12²

h = sqrt(9² + 12²)

h = 15.

The secant of an angle is 1 divided by the cosine, hence:

Which means that option D is correct.

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The graph that represents the function f(x) = -2sin(x) +37 is graph D

The graph of the function f(x) = -2sin(x) +37 is a sinusoidal wave with an amplitude of 2 and a vertical shift of 37. The negative sign in front of the sine function indicates that the wave is inverted or reflected about the x-axis.

In this graph, the maximum value of the function is 39 (when x = 0) and the minimum value is 35 (when x = π).

In conclusion, the graph that represents the function f(x) = -2sin(x) +37 is graph D

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KM, JK, PK, and MJ are shown on the diagram.

Then the correct options are B, C, D, and F.

Since, Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

A line segment in mathematics has two different points on it that define its boundaries.

All the line segments will be

JK, JM, KM, MP, PK, and KL

The triangle KPM.

And the angle will be ∠LKJ, ∠PKM. ∠KMP. and ∠MPK.

Then the correct options are B, C, D, and F.

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Using the cosine ratio, the distance between Dimitri and Sarah is calculated as approximately 12.4 m.

The cosine ratio is a trigonometric ratio that represents the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle. It is calculated by dividing the length of the adjacent side by the length of the hypotenuse.

Using the cosine ratio, we have:

Reference angle (∅) = 72 degrees

Hypotenuse length = 40 m

Adjacent length = distance between Dimitri and Sarah = x

Plug in the values:

cos 72 = x/40

x = cos 72 * 40

x ≈ 12.4 [to one decimal place]

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Answer:

F will be +5

Step-by-step explanation:

The missing terms in the geometric progression given are:

x = 10      y = 20

The nth term of a Geometric progression is expressed by the formula:

an = ar^(n - 1)

Where we have:

an = nth term

a = first term of the geometric progression

n = number of terms

r = common ratio

We are given the geometric progression 5, x, y, and 40, where:

a1 = 5

a4 = 40

Therefore, we have:

40 = 5 * r^(4 - 1)

40 = 5 * r³

40/5 = r³

8 = r³

r = ∛8

r = 2

Since we know a and r, find the 2nd and 3rd which are represented by x and y respectively, by applying an = ar^(n - 1):

a2 = 5 * 2^(2 - 1)

a2 = 5 * 2^1

a2 = 10

x = 10

a3 = 5 * 2^(3 - 1)

a3 = 5 * 2²

a3 = 20

y = 20

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Answers are in bold

========================================================

Explanations:

Step-by-step explanation:

When the problem says 3f(x), it means that you are multiplying f(x) by 3. The same goes for 2g(x).

\(3(2x^2+8x-4)= 6x^2+24x-12\)

\(2(5x+6) = 10x+12\)

Now, we subtract f(x) from g(x) after being multiplied.

\((6x^2+24x-12)-(10x+12)\)

\(6x^2+14x-24\)

The height of the building can be  649.44 ft

What is angle of elevation ?

angle of elevation states that the angle which is formed between line of sight and horizontal line.

Given,  the base of the triangle is 1.75 mile. The angle opposite of the tall side, x, is 4 degrees.

height of the building is an unknown variable (x) .

tan(angle) = opposite length /adjacent length.

Opposite length is x, adjacent length is 1.75 mile, angle is 4 degrees.

tan(4º) = x / 1.75

rearrange for x

x = 1.75*tan(4º) = ~1.75*0.0699  miles.

x = ~0.123

Now to get feet, just multiply by 5,280 ft in one mile

Height of the building is 0.123 miles * 5280 ft/mile = 649.44 ft

Hence , The height of the building can be  649.44 ft .

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Answer: 11/9

Step-by-step explanation:

you would cross out the two 4s(using butterfly method) and make them 1s. So 11 x 1 and 1 x 9 = 11/9

Answer:

11/4 times 4/9 is 11/9

Step-by-step explanation:

We have to find,

(11/4) times 4/9

\((11/4)(4/9) = (11*4/4*9)\)

We can cancel the 4s from the numeratorand denominator to get,

\((11*4/4*9) = (11*1/1*9) = 11/9\\=11/9\)

The answer is 11/9

Answer:

The first step is to label the points being (1,2.3),(6,6.8) in which the first ordered pairs is the number of weeks, and the second one is the dollars in millions.

Hence, the slope is: m=(6.8-2.3)/(6-1) = 4.5/5 = 9/10 = 0.9

The slope represents the dollar rate in the millions per week. In this case, the movie grossed $0.9 million per week from week one to the sixth week.

After 300 trials, the experimental probabilities may not align perfectly with the theoretical probabilities. However, with more trials, the experimental probabilities tend to converge towards the theoretical probabilities for closer alignment.

To examine whether experimental probabilities after 300 trials align closely with theoretical probabilities, let's consider an example of flipping a fair coin.

Theoretical probability: When flipping a fair coin, the theoretical probability of obtaining heads or tails is 0.5 each. This assumes that the coin is unbiased and has an equal chance of landing on either side.

Experimental probability: After conducting 300 trials of flipping the coin, we record the outcomes and calculate the experimental probabilities. Let's assume that heads occurred 160 times and tails occurred 140 times.

Experimental probability of heads: 160/300 = 0.5333

Experimental probability of tails: 140/300 = 0.4667

Comparing the experimental probabilities to the theoretical probabilities, we can observe that the experimental probability of heads is slightly higher than the theoretical probability, while the experimental probability of tails is slightly lower.

In this particular example, the experimental probabilities after 300 trials do not align perfectly with the theoretical probabilities. However, it is important to note that these differences can be attributed to sampling variability, as the experimental outcomes are subject to random fluctuations.

To draw a more definitive conclusion about the alignment between experimental and theoretical probabilities, a larger number of trials would need to be conducted. As the number of trials increases, the experimental probabilities tend to converge towards the theoretical probabilities, providing a closer alignment between the two.

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The question probable may be:

Do experimental probabilities after 300 trials tend to align closely with theoretical probabilities? Consider an example scenario and calculate both the theoretical and experimental probabilities to determine if they are close.

Answer:

Step-by-step explanation:

The volume of this pyramid in cubic inches is 16.

Given that,

The base and height is 8 and 6.

Based on the above information, the calculation is as follows:

The volume is

= 16

Answer:

The values of b that satisfy the equation are:

b = (2√3 - 3) / 2

b = (-2√3 - 3) / 2

In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.

Step-by-step explanation:

To find the values of b that satisfy the equation 3(2b + 3)² = 36, we can solve for b by following these steps:

1. Divide both sides of the equation by 3:

  (2b + 3)² = 12

2. Take the square root of both sides:

  √[(2b + 3)²] = √12

  Simplifying further:

  2b + 3 = ±√12

3. Subtract 3 from both sides:

  2b = ±√12 - 3

4. Divide both sides by 2:

  b = (±√12 - 3) / 2

  Simplifying further:

  b = (±√4 * √3 - 3) / 2

  b = (±2√3 - 3) / 2

Therefore, the values of b that satisfy the equation are:

b = (2√3 - 3) / 2

b = (-2√3 - 3) / 2

In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.

Answer:

The sample size required is 2188.

Step-by-step explanation:

The (1 - α)% confidence interval for the population proportion is:

\(CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\)

The margin of error for this interval is:

\(MOE= z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\)

The information provided is:

X = 162

n = 462

MOE = 0.02

Assume the confidence level as 95%.

Compute the sample proportion as follows:

\(\hat p=\frac{X}{n}=\frac{162}{462}=0.351\)

The z-critical value for 95% confidence interval is:

\(z_{0.025}=1.96\)

Compute the sample size required as follows:

\(MOE= z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\)

      \(n=[\frac{z_{\alpha/2}\times \sqrt{\hat p(1-\hat p)}}{MOE}]^{2}\)

         \(=[\frac{1.96\times\sqrt{0.351(1-0.351)}}{0.02}]^{2}\\\\=2187.781596\\\\\approx 2188\)

Thus, the sample size required is 2188.

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The total number of people want in all is 531.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of buses = 9

Number of buses that has 63 people = 5

Number of buses that has 54 people = 4

The total number of people in all the buses.

= 5 x 63 + 4 x 54

= 315 + 216

= 531

Thus,

The total number of people want in all is 531.

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The correct matches are: 4 in. → 10.2 cm   ,   7 kg → 15.4 lb

6 gal → 22.7 L   and  65 ft → 19.8 m.

Conversions refer to the process of changing a measurement from one unit to another unit that measures the same quantity.

For example, converting distance from miles to kilometers, or converting weight from pounds to kilograms.

Here are the conversions:

1 inch = 2.54 cm (approx.)

1 kg = 2.205 lb (approx.)

1 gal = 3.785 L (approx.)

1 ft = 0.3048 m (approx.)

Using these conversions, we can find the equivalent measures:

4 in. → 4 × 2.54 = 10.16 ≈ 10.2 cm

7 kg → 7 × 2.205 = 15.435 ≈ 15.4 lb

6 gal → 6 × 3.785 = 22.71 ≈ 22.7 L

65 ft → 65 × 0.3048 = 19.812 ≈ 19.8 m

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