need help with this problem

Answer:

(x) ∠CAB

Step-by-step explanation:

In ΔCOD and ΔBOA

\(\frac{OA}{OB} = \frac{OD}{OC} \\\\\implies \frac{OC}{OB} = \frac{OD}{OA}\)

Also,

∠COD = ∠BOA (vertically opposite angles)

⇒ ΔCOD and ΔBOA are similar

⇒ ∠CDO = ∠BAO

⇒ ∠CDB = ∠BAC

⇒ ∠CDB = ∠CAB

The correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3)

For the first question:

The table shows a proportional relationship between x and y. To describe what the graph of this proportional relationship would look like, we can examine the given data points.

The data points are (12, 3), (8, 26), and (24, ?). We can observe that as x increases, y also increases. This indicates a positive correlation between the variables. Additionally, we can see that the ratio of y to x remains constant for each data point.

Now, let's analyze the answer options:

A. A line passes through the point (0, 0) and continues through the point (3, 12).

This answer option does not align with the given data because there is no data point with an x-value of 3 and a corresponding y-value of 12.

B. A line passes through the point (0, 0) and continues through the point (2, 8).

This answer option aligns with the given data because (2, 8) is a valid data point from the table, and the line passes through the origin (0, 0).

C. A line passes through the point (0, 0) and continues through the point (6, 24).

This answer option does not align with the given data because there is no data point with an x-value of 6 and a corresponding y-value of 24.

D. A line passes through the point (0, 0) and continues through the point (12, 3).

This answer option aligns with the given data because (12, 3) is a valid data point from the table, and the line passes through the origin (0, 0).

Based on the analysis, the correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3). This accurately represents the graph of the proportional relationship given in the table.

For the second question, I'm sorry, but you didn't provide the multiple-choice options or the complete question. Could you please provide the question and options so that I can assist you further?

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Letss try using Pythagoras Theorem with

\(a+b+c=180\\21+28+c=180\\c=180-21-28\\c=131\)

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To evaluate the limit of the function as x approaches 0, where f(x) = sin(x)/x, we can use L'Hôpital's rule.

According to L'Hôpital's rule, if we have an indeterminate form of the type 0/0 or ∞/∞, we can take the derivative of the numerator and denominator until we reach a determinate form.

Let's differentiate the numerator and denominator:

\(\begin{align}f(x) &= \frac{\sin(x)}{x} \\f'(x)&=\frac{d}{dx}(\sin(x)) \\ &= \cos(x)\end{align}\)

\(\begin{align}f(x) &= \frac{\sin(x)}{x} \\f'(x)&=\frac{d}{dx}(x) \\ &= 1\end{align}\)

Now we can evaluate the limit as x approaches 0 using the derivatives:

\(\begin{align}\lim_{x \to 0} f(x) &= \lim_{x \to 0} \frac{\sin(x)}{x} \\ &= \lim_{x \to 0} \frac{\cos(x)}{1} \quad \text{(using L'Hôpital's rule)} \\ &= \cos(0) \\ &= 1 \end{align}\)

Therefore, the limit of f(x) as x approaches 0 is 1.

Answer:

42

Step-by-step explanation:

The volume of the figure, by splitting it into two cuboids comes to be 3300 ft³.

The volume of a cuboid is the product of its three dimensions i.e. length, breadth, and height.

Let us split the given figure into two cuboids

So, the volume of the figure will be the sum of the volume of both the cuboids.

So, the volume of the cuboid with dimensions 20 ft x 25 ft x 5ft

= 20 x 25 x 5

=2500 ft³.

The volume of the cuboid with dimensions  4 ft x 25ft x 8ft

=4 x 25x 8

=800 ft³.

So, the volume of the figure = 2500 + 800 =3300 ft³.

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Answer:

25%

Step-by-step explanation:

Answer:

Answer

Step-by-step explanation:

okay so i'm not the best at math in general so im not so sure but i think the allowed grade for you still to pass would be 96 %

I Hope This Helps Btw is this an important quiz ur doing?

Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

Answer:

c) 44

Step-by-step explanation:

The area of triangle EFG is given as follows:

A = 18.63 square units.

The area of a rectangle of base b and height h is given by half the multiplication of dimensions, according to the formula presented as follows:

A = 0.5bh

The base is given by segment EF as follows:

\(EF = \sqrt{(9 - 4)^2 + (-7 -(-9))^2}\)

EF = 5.4.

The midpoint of EF is given as follows:

M(6.5, -8).

The height is given by the segment MG as follows:

\(MG = \sqrt{(6.5 - 3)^2 + (-2 - (-8))^2}\)

MG = 6.9.

Hence the area is given as follows:

A = 0.5bh

A = 0.5 x 5.4 x 6.9

A = 18.63 square units.

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There is a 90% probability that Abby and Bridget are seated adjacent to each other in the same row or the same column.

There are 10 total seating positions, and Abby and Bridget can be seated in any of these positions. There are two rows, and in each row there are 3 possible seating positions for Abby and 3 possible seating positions for Bridget, for a total of 6 possible seating arrangements in each row. There are also 3 possible seating positions for Abby and 3 possible seating positions for Bridget in the same column, for a total of 3 possible seating arrangements in the same column. Therefore, there are a total of 6+3=9 possible seating arrangements in which Abby and Bridget are seated adjacent to each other in the same row or the same column.

Out of all the possible seating arrangements, the probability that Abby and Bridget are seated adjacent to each other in the same row or the same column is therefore 9/10. This can be expressed as a fraction or as a decimal:

\(\frac{9}{10}\) = 0.9

This means that there is a 90% probability that Abby and Bridget are seated adjacent to each other in the same row or the same column.

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Answer:

10 points

Step-by-step explanation:

you just need to subtract the score in game 6 from the score in game 5

Answer:

10

Step-by-step explanation:

Look in the graph.

In game 6, use the last bar to the right in dark blue. The Tigers scored 35 points.

In game 5, use the purple bar. the Tigers scored 25 points.

To find the difference, we subtract.

35 - 25 = 10

Answer: 10

The mean distance increased by a factor of 2^(²/₃)

The given equation for the relationship between a planet's orbital period, T and the planet's mean distance from the sun, A is;

T² = A³.

Let the orbital period of planet X = T(X).

Let the orbital period of planet Y = T(Y).

Let the mean distance of planet X from the sun = A(X).

Let the mean distance of planet Y = A(Y).

Thus;

A(Y) = 2A(X)

Therefore;

[T(Y)]² = [A(Y)]³ = [2A(X)]^3

However, [T(X)]² = [A(X)]³

Thus;

[T(Y)]² = 2³[T(X)]² * [T(Y)]²/[T(X)]² = 2³T(Y)/T(X) = 2^(³/₂)

That's for orbital period but the mean distance will increase by 2^(²/₃)

Thus we conclude that, the mean distance increased by a factor of 2^(²/₃)

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Answer:

2 Superscript three-halves

Step-by-step explanation:

Edge

Answer:

\(-5x-5\)

Step-by-step explanation:

original functions:

\(f(x)=3x-8\\g(x)=8x-3\)

Subtract the polynomials:

\(f(x)-g(x) = (3x-8) - (8x-3)\)

Distribute the negative sign:

\(3x-8-8x+3\)

Combine like terms:

\((3x-8x)+(-8+3)\)

Add like terms:

\(-5x-5\)

\(\frac{1}{3}\) yessssss sirr

Answer: square root of 20= 4.48

Square root of 80= 8.95

Step-by-step explanation:

Rounding to the same number of significant digits as the measurement with the least number of significant digits (which is "350 ppm"), the expected CO₂ level by the end of 2030 would be 430 ppm.

Significant digits, also known as significant figures or sig figs, are the digits in a number that are considered to be accurate or meaningful. They represent the precision or reliability of a measurement or calculation.

In a number, all digits except for leading zeros are considered to be significant. For example, in the number 0.00456, there are three significant digits (4, 5, and 6), while the zeros before the 4 are not significant.

The rules for determining the number of significant digits in a number are:

All non-zero digits are significant.

Zeros between non-zero digits are significant.

Leading zeros are not significant.

To find the expected CO₂ level in the atmosphere by the end of 2030, we need to calculate the total increase in CO₂ levels from 2012 to 2030 and then add it to the 2012 CO₂ level of 396 ppm.

To calculate the total increase in CO₂ levels, we can use the following formula:

Total increase in CO₂ levels = rate of increase × time

where the rate of increase is 2.10 ppm per year and the time is the number of years from 2012 to 2030, which is 18 years.

Total increase in CO₂ levels = 2.10 ppm/year × 18 years = 37.8 ppm

Therefore, the expected CO₂ level in the atmosphere by the end of 2030 would be:

Expected CO₂ level = 2012 CO₂ level + total increase in CO₂ levels

Expected CO₂ level = 396 ppm + 37.8 ppm

Expected CO₂ level = 433.8 ppm

Rounding to the same number of significant digits as the measurement with the least number of significant digits (which is "350 ppm"), the expected CO₂ level by the end of 2030 would be 430 ppm.

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Answer:

= A (The fee at Bank R will be more than the fee at Bank Q only when a customer's balance is more than $600.)

Answer:

c

Step-by-step explanation:

Answer:

15 divided by 1/5 is equal to 1.

A probability is a numerical representation of the likelihood or chance that a specific event will take place.

12% of peanut M&M’s = brown

15% = yellow

12% = red

23% = blue

23% = orange

15% = green

Here, Probability of an event is represented as P

a) P(not green) = 100% - 15%

                        = 85%

                        = 0.85

b) P(yellow or red) = 15% + 12%

                               = 27%

                               = 0.27

c) P(three blue) = 0.23*0.23 *0.23

                         = 0.012 (rounded to 3 decimal places)

d) P(not green if you choose 6 )= \((0.85)^{6}\)

                                                    = 0. 377

e) P(at least 1 green if you choose 6 ) = 1 - 0.377

                                                              = 0.623

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Answer: 208

Step-by-step explanation:

The number 3536 is called the numerator or dividend, and the number 17 is called the denominator or divisor.

The quotient of 3536 and 17, the ratio of 3536 and 17, as well as the fraction of 3536 and 17 all mean (almost) the same:

3536 divided by 17, often written as 3536/17 = 208

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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Answer:

Well, the smallest successive composites with gap 17, 73, 2, and 19 would have to be:

1. $341 = 11 \times 31$

2. $458 = 2 \times 299$

3. $460 = 2^2 \times 5 \times 23$

4. $479 = 13 \times 37$

Answer:

65.3%

Step-by-step explanation:

P(2,3, OR 4)

You have to do each one individually then add them together

5C2(.4)^2 times (.6)^3 + 5C3(.4)^3 times (.6)^3 + 5C4(.4)^4 times (.6)^1=

.3465+.2304+.0768=.6528=65.3%

The polar coordinates for each point are given as follows:

a. \((r, \theta) = \left(2\sqrt{5}, \frac{7\pi}{4}\right)\)

b. \((r, \theta) = \left(6, \frac{\pi}{3}\right)\)

Suppose we have a point with Cartesian coordinates given as follows:

(x,y).

The polar coordinates will be found as follows:

For item a), the Cartesian coordinates are as follows:

(-4, 4).

Hence the polar coordinates will be given as follows:

For item a), the Cartesian coordinates are as follows:

(3, 3sqrt(3)).

Hence the polar coordinates will be given as follows:

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The initial investment of the function is 20 dollars.

The rate growth in percentage is 4%.

The investment after 10 years is 29.6 dollars.

The function \(y=20(1.04)^{t}\) represents the value y of a saving account after t years.

Therefore, the initial investment of the function is 20 dollars.

The rate growth in percentage can be calculated as follows;

rate growth in percent = 0.04 × 100

rate growth in percent = 4 %

Let's find the value of the investment after 10 years.

Therefore,

\(y=20(1.04)^{t}\)

t = 10

\(y=20(1.04)^{10}\)

\(y=20(1.48024428492)\)

y = 29.6048856984

Therefore, the investment after 10 years is as follows:

y = 29.6 dollars

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Answer:

17.07m/s

Step-by-step explanation:

v=d/t

d=956km

t=56sec

v=956/56

v=17.07m/s