Use the given measurements on the triangle to write the following trig ratios and answer the question that follows Please help!
Use the given measurements on the triangle to write the - 1

Answers

Answer 1
Answer:

Answer:

1. sin P = 20/29

cos P = 21/29

tan P = 20/21

sin Q = 21/29

cos Q = 20/29

tan Q = 21/20

2. We can notice that the sin and cos of P vs Q are switched and the tan's are a reciprocal of each other

Step-by-step explanation:

For Part 1

With knowledge of SOH CAH TOA

Sin = Opp/Hyp

Cos = Adj/Hyp

Tan = Opp/Adj

So:

sin P = 20/29

cos P = 21/29

tan P = 20/21

sin Q = 21/29

cos Q = 20/29

tan Q = 21/20

For Part 2

We can notice that the sin and cos of P vs Q are switched and the tan's are a reciprocal of each other


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What two numbers add to negative 9 but multiply to 24

Answers

There aren't any numbers that add to 24 but multiply to 9. But you can still factorise - remember, you only need to get numbers that add up to the middle number if the coefficient of y^2 is 1. That means if you just have y^2, not 2y^2 or 3y^2 or 16y^2 like we do here. 

16y^2+24y+9 = (4y+3)^2

there is a circular path around a sports field Soniye X 18 minutes drive one round of the field while Ravi takes 12 minutes for the same the first they both started the same point in same time I am going the same direction after how many minutes will they meet again at the starting point​

Answers

Yes it is 14 The answer to the question

Grace is looking at a report of her monthly cell-phone usage for the last year to determine if she needs to upgrade her plan. The list represents the approximate number of megabytes of data Grace used each month.700, 735, 680, 890, 755, 740, 670, 785, 805, 1050, 820, 750



What is the standard deviation of the data? Round to the nearest whole number.


65

75

100

130

Answers

In order to find the standard deviation, we first have to calculate the mean (average) of the numbers. To get this we add all the numbers together and then divide by 12 since there are 12 numbers. The mean = 782. Next, we take each number and subtract the mean, taking the result and squaring it. For this we get: 6724, 2209, 10404, 11664, 729, 1764, 12544, 9, 529, 71824, 1444, 1024. Now we sum all of these up and take the average by dividing the sum by 12. Doing this we get 120868/12=10072. The last step is the take the square root of that number to get the standard deviation. The final result is 100.

The standard deviation of the given set is:

S = 130.

How to get the standard deviation?

Here we have the set:

{700, 735, 680, 890, 755, 740, 670, 785, 805, 1050, 820, 750}

First, we need to get the mean of the set which is:

M = (700 + 735 + 680 + 890 + 755 + 740 + 670 + 785 + 805 + 1050 + 820 + 750)/(12) = 704.17

Then the standard deviation is:

S = \sqrt{((700 - 704.17)^2 + (735 - 704.17)^2+ (680 - 704.17)^2 + ... + (820 - 704.17)^2 + (750 - 704.17)^2)/(12)} = 129.5

So we conclude that the standard deviation, rounded to the next whole number, is S = 130

If you want to learn more about standard deviation:

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Find the value of x
a) 5
b) -1
c) 6
d) 2

Answers

Answer:

a) 5

Step-by-step explanation:

x+2 = 2x-3

-x -x

2 = x-3

+3 +3

5 = x

A. using the graph, describe the key characteristics of the graph (positive/negative slope, proportional/non proportional, y-intercept).B. write in words what the slope of the graph means in context.

C. write in words what the y-intercept of the graph means in context.

D. write in words what the graph of the line is showing.

Answers

Final answer:

The graph has a positive slope, is non-proportional, and has a y-intercept of 2. The slope represents the rate of change between the x and y variables. The y-intercept represents the value of y when x is 0. The graph shows a relationship where y increases by a constant rate of 3 for every one unit increase in x.

Explanation:

A. The graph has a positive slope. It is non-proportional as the points do not lie on a straight line. The y-intercept is 2.

B. The slope of the graph represents the rate of change between the x and y variables. In context, it means that for every unit increase in x, y increases by 3 units.

C. The y-intercept of the graph represents the value of y when x is 0. In context, it means that when x is 0, y is equal to 2.

D. The graph of the line is showing a relationship between x and y variables, where y increases by a constant rate of 3 for every one unit increase in x, starting from a y-value of 2 when x is 0.

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Final answer:

In a graph, the slope describes the rate of change, and the y-intercept is where the line intersects the y-axis. A positive pitch rises from left to right, while a negative one falls. A proportional graph reflects a constant rate of change, while a non-proportional one shows a non-constant rate of change.

Explanation:

We need to know the specifics of the graph to explain the components you've asked about. A positive slope on a chart is represented by a line that rises from left to right, while a negative slope descends from left to right. The value of the pitch can be determined by the rise over run (change in y / change in x).

A graph is proportionalif the line passes through the origin (0,0) and has a constant slope. If it doesn't, it's considered non-proportional, meaning the change rate is unstable.

The y-intercept is the point where the line intersects with the y-axis. In the context of an equation, it's the value of 'y' when 'x' equals zero.

A graph's slope depicts the change rate between the two variables. The y-intercept typically represents the starting value or the value of 'y' when 'x' has yet to apply. Finally, the overall graph of a line shows the relationship between two variables, represented in a way that changes in one variable correspond with a change in another.

Learn more about Graph Analysis here:

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the maximum height of a vehicle that can safely pass under a bridge is 12 feet and 5 inches a truck measures 160 inches into height. which best explains whether or not the truck can pass safely under the bridge

Answers

convert 12 feet and 5 inches to inches
1 foot=12 inches
12 feet times 12=144 inches
144+5=149 inches

160>149
it cannot pass through it is too high