Points P and Q are equidistant
from à Common point n on a bearing
of 300 degree and 20 degree respectively. Find
the bearing of
Q From P.​

Answer:

The average temperature on the Equator is 137°F warmer than the average temperature at the South Pole.

76°c

Step-by-step explanation:

Answer:40b simplified

Step-by-step explanation:

Maria’s vegetable garden measures 5⅔ feet by 6⅚ feet. 38.72 feet² is the area of the garden. This can be solved using the concept of the area of rectangle.

A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. Because of this, it is also known as an equiangular quadrilateral. Because the opposing sides of a rectangle are equal and parallel, it can also be referred to as a parallelogram.

Each and every square is a rectangle since it is a quadrilateral with right angles on all four sides. But not all rectangles are squares; for a shape to be a square, all of its sides must have the same length.

So a square is also a rectangle and a rhombus. There is no square shape in the rectangle or rhombus. The trapezium shape is a parallelogram.

Maria’s vegetable garden measures 5⅔ feet by 6⅚ feet.

So, it is a rectangular garden.

Now, area = 5⅔ feet × 6⅚ feet

or, area = 17/3 feet × 41/6 feet

or, area = 697 /18 feet²

or, area = 38.72 feet²

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Explanation:

When we talk about "odds in favor", we will use a colon to separate two whole numbers. The first number represents the number of ways for Evelyn to be chosen treasurer (just one way) and the second number represents all the ways she doesn't get chosen (the four other people)

Put another way, writing "odds in favor are 1:4" basically means "there's 1 way to get Evelyn elected and 4 ways for her to not get elected"

Instead of writing 1:4 you could write "1 to 4"

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Side note: Contrast this with "odds against" and the ratio would flip from 1:4 to 4:1. Same idea, but the number of failures is listed first because we're focusing on the "against" (instead of "favor") portion. We read "4:1" as "4 to 1".

The odds in favor of Evelyn becoming treasurer are 1:5 or 1/5.

To determine the odds in favor of Evelyn becoming treasurer, we need to know the total number of possible outcomes and the number of favorable outcomes.

There are five members in the club, so there are five possible outcomes for the treasurer position, one for each member. Since Evelyn is one of the five members, she has one favorable outcome.

Therefore, the odds in favor of Evelyn becoming treasurer are 1:5 or 1/5.

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Answer:1.325

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

The correct statements regarding the transformations are given as follows:

Examples of transformations are given as follows:

Parallel lines are lines that have the same slope, that is, lines that do not intercept, and the transformations do not change whether the lines are parallel or not.

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The graph of h(x) = (x-1)^2 - 9 is a U-shaped parabola that opens upwards, with the vertex at (1, -9), and it extends indefinitely in both directions.

The function h(x) = (x-1)^2 - 9 represents a quadratic equation. Let's analyze the different components of the equation to understand the behavior of the graph.

The term (x-1)^2 represents a quadratic term. It indicates that the graph will have a parabolic shape. The coefficient in front of the quadratic term (1) implies that the parabola opens upwards.

The constant term -9 shifts the graph downward by 9 units. This means the vertex of the parabola will be at the point (1, -9).

Based on this information, we can draw the following conclusions:

The graph will be a U-shaped curve with the vertex at (1, -9).

The vertex represents the minimum point of the parabola since it opens upward.

The parabola will be symmetric with respect to the vertical line x = 1 since the coefficient of the quadratic term is positive.

The graph will extend indefinitely in both directions.

To accurately plot the graph, you can choose several x-values, substitute them into the equation to find the corresponding y-values, and then plot the points on the graph. Alternatively, you can use graphing software or calculators that can plot the graph of the equation for you.

Remember to label the axes and indicate the vertex at (1, -9) to provide a complete representation of the graph of h(x) = (x-1)^2 - 9.

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Answer:

She will need a time of 1024 units to complete the 10th station.

Step-by-step explanation:

A. As the quotient between consecutive terms is the same, the data is a geometric sequence.

B. The recursive formula is:

C. She will need a time of 1024 units to complete the 10th station.

In a sequence, if the difference between consecutive terms is the same, the sequence is arithmetic.

If the quotient between consecutive terms is the same, the sequence is geometric.

Item a:

When x increases by 1, y is multiplied by 2, hence, as the quotient between consecutive terms is the same, the data is a geometric sequence.

The statement thet complete the proof of the congruent triangles is (a) SAS criterion

From the question, we have the following parameters that can be used in our computation:

The incomplete proof

In the proof, we have

AD ≅ BC --- side length

DC ≅ DC --- side length

∠ADC ≅ ∠BCD -- angle

This means that the triangles are congruent by the SAS theorem

The SAS theorem is defined by "If two sides in one triangle are congruent to two sides in another triangle and the included angle in both are congruent, then the two triangles are congruent"

This means that they are congruent by the SAS congruent

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Answer: A. SAS criterion.

Step-by-step explanation: Angle : ∠ADC ≅ ∠BCD                                         Side length : AD ≅ BC                                                                                       Side length : DC ≅ DC                                                                                                

Because of this △ADC ≅ △BCD by SAS criterion.

Part 1

The value of y is twice that of x, so the equation is y = 2x.

Part 2

Substituting in x = 14, we get y = 2(14) = 28.

Answer:

its d

Step-by-step explanation:

I've taken this quiz before

Answer:

Step-by-step explanation:

                                                   error

Answer:

x ≈ 75.2

Step-by-step explanation:

using the tangent ratio in the right triangle

tan62° = \(\frac{opposite}{adjacent}\) = \(\frac{x}{40}\) ( multiply both sides by 40 )

40 × tan62° = x , then

x ≈ 75.2 ( to the nearest tenth )

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

\(3x+y=5\implies y=\stackrel{\stackrel{m}{\downarrow }}{-3}x+5\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

so we're really looking for the equation of a line that has a slope oif -3 and it passes through (2 , -4)

\((\stackrel{x_1}{2}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ - 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{- 3}(x-\stackrel{x_1}{2}) \implies y +4 = - 3 ( x -2) \\\\\\ y+4=-3x+6\implies {\Large \begin{array}{llll} y=-3x+2 \end{array}}\)

now, keeping in mind that perpendicular lines have negative reciprocal slopes

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ -3 \implies \cfrac{-3}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-3} \implies \cfrac{1}{ 3 }}}\)

so for this one, we're looking for the equation of a line whose slope is 1/3 and it passes through (2 , -4)

\((\stackrel{x_1}{2}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{ \cfrac{1}{3}}(x-\stackrel{x_1}{2}) \implies y +4 = \cfrac{1}{3} ( x -2) \\\\\\ y+4=\cfrac{1}{3}x-\cfrac{2}{3}\implies y=\cfrac{1}{3}x-\cfrac{2}{3}-4\implies {\Large \begin{array}{llll} y=\cfrac{1}{3}x-\cfrac{14}{3} \end{array}}\)

The average (mean) score for each of the innings is 64 runs for the first inning and 78 runs for the second inning.

To find the average (mean) score for each of the innings in two-innings cricket, we need to calculate the total runs scored in each inning and divide it by the number of innings played.

Given:

First inning score = 64 runs

Second inning score = 78 runs

To find the average for each inning, we divide the total runs by the number of innings played.

For the first inning:

Average score = First inning score / Number of innings

Average score = 64 runs / 1 inning

Average score = 64 runs

For the second inning:

Average score = Second inning score / Number of innings

Average score = 78 runs / 1 inning

Average score = 78 runs

It's worth noting that in two-innings cricket, the average score is calculated separately for each inning, as the total runs and the number of innings are considered independently for each inning.

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Answer:

C $973.39

Step-by-step explanation:

the answer is C on e2020

Answer:

⬇⬇⬇

The probability that out of 8 workers, 3 will ride in carpools is 0.254.

What is probability?

The mathematical concept of probability is used to determine the likelihood of an event. It is solely useful for calculating the probability that an event will occur. From 0 to 1, where 0 represents impossibility and 1 represents a particular occurrence.

We are given that 30% of all commuters ride to work in carpools.

Now, if eight workers are selected, then the probability that three will ride in carpools is determined by using the following

P (X = 3) = \(n C_{x} p^{x} (1-p)^{(n-x)}\)

We have n = 8, x = 3 and p = 0.3

So, using the formula, we get

⇒P (X = 3) = \(8 C_{3} (0.3)^{3} (1-0.3)^{(8-3)}\)

⇒P (X = 3) = \(8 C_{3} (0.3)^{3} (0.7)^{(5)}\)

⇒P (X = 3) = 56 *  \((0.3)^{3} (0.7)^{(5)}\)

⇒P (X = 3) = 56 * 0.027 * 0.16807

⇒P (X = 3) = 0.254

Hence, the probability that out of 8 workers, 3 will ride in carpools is 0.254.

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Considering the given stem-and-leaf plot, the quartiles are given as follows:

There is an even number of elements(26), hence the median is the mean of the 13th and 14th elements, which are 83 and 86, hence:

Me = (83 + 86)/2 = 84.5.

The first half has 12 elements, hence the first quartile is the mean of the 6th and 7th elements, which are 67 and 68, hence:

Q1 = (67 + 68)/2 = 67.5.

The third half also has 12 elements, starting at the second 86, hence the third quartile is the mean of the 6th and 7th elements of this half, hence:

Q3 = (91 + 92)/2 = 91.5.

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Answer:

Solution given:

5(9x-8)=4(x+2)

45x-40=4x+8

45x-4x=40+8

41x=48

x=\( \frac{48}{41} \)

Gabriella is not correct:

she has done in distribution

5(9x-8)=4(x+2)

45x-40=4x+8 not 45x-8=4x+2.

No, Gabriela is not solving correctly because her second step is wrong.

In a fraction the upper part is known as numerator and the lower part is known as denominator.

The problem is as under

(9x-8)/4=(x+2)/5

The above problem is solved as

5(9x-8)=4(x+2)

45x-40=4x+2

41x=42

x=42/41

Hence the value of x is 42/41 therefore the solution of Gabriella is wrong.

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Hello!

the answer is C! ( \(y=\frac{1}{3} x-6\) )

hope that helps!<3 have a good day!:))

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: y- (-3)= -3/5 (x-6)

Step-by-step explanation:

Answer:

2x+6y=2

Step-by-step explanation:

Answer:

(a)2030

Step-by-step explanation:

I'm assuming the 100 at the end of the question is a typo.
In 2040, the son's age can be written as \(\frac{x}{3}\), where x equals the age of his father. In 2050, the son's age can be written as \(\frac{x-10}{2}\) (as ten years is added between 2040 and 2050). When equated to each other--> \(\frac{x-10}{2}\) = \(\frac{x}{3}\), we can first simplify by multiplying both sides to reach the least common denomination 6, giving us 3(x-10)=2x --->3x-30=2x--->x=30 is the dad's age. The son's age in 2040, 30/3, is equal to 10 years, meaning he was born in the year 2030 (a).

Answer:

f(2) = 1

x = 0

Step-by-step explanation:

f(2) = 1 since y=1 when x=2.

f(0) = -3 since x=0 when y=-3

Answer:  -4 3/4

Step-by-step explanation:

Above is the answer if you have a drop down menu, because I have a drop down menu.

Answer:

B

Step-by-step explanation:

i got it right