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3 years ago

What trigonometric function has the same value as sin 75?

1 answer:

5 0

Cosine and Sine are related by the formula cos(x)= sin(x+90). Setting x+90 equal to 75 results in x=-15, Therefore, cos(-15) = sin (75). Since cos is an even function, cos(15)=cos(-15)= sin(75).

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The temperature of a city changed -24 degrees Celsius over a 6 week period. Write an expression the show the average change in t

Ne4ueva [31]

Answer:

The expression is (-24) / 6 = -4degrees which means that in each week the average change in temperature was -4 degrees Celsius.

Step-by-step explanation:

Change in a quantities can as well be interpreted as rate of change which is used in many everyday problems, such as weather forecast, traveling , in science and so on.When we are talking about rate of change it's is usually in ratio such as Miles per hour or feet per second can be used in calculation involving rates of speed. It is how one quality is changing with respect to time , for instance, rate equals distance divided by time: r = d/t.

In finance rate of change is also applicable we can have Unit price which is a particular rate that compares a price to some unit of measure. Example is $64 per dozen.

Therefore, Given from the question,

The temperature of a city changed -24 degrees Celsius ,

Time =6 weeks period.

Then change is r = d/t.

= (-24) / 6

Change = (-24) / 6 = -4 degrees

This means that each week the average change in temperature was -4 degrees Celsius.

3 0

3 years ago

Evaluate the following expression when x = 3 and y = 4:

JulijaS [17]

I don't understand. What are the values given? Are they values of an x,y plot?
If you plot them they are a straight line with y =6x - 2.9 but I don't know what you mean by when x=3 and y = 4?

5 0

3 years ago

Assume that cigarettes cost $7 per pack and consider a 21 year old college student smoker who smokes 15 packs of cigarettes per

stepladder [879]

Answer:

The answer is $57657.6

Step-by-step explanation:

First, you must determine the amount of money the student saves per month. To do this, the number of cigarette packages she smokes is multiplied by the price she pays for them.

Per month: 15 packs*$7 each packet=$105

This means that per month she save $ 105.

Now you must determine the amount of money saved per year, knowing that in a year there are 12 months. Therefore, you make a simple rule of three: If in a month you save $ 105, how much money do you save in 12 months?

Per year: $\frac{105*12months}{1 month} =1260$

This means that per year she save $ 1260. And she each month invests the amount she would have spent on cigarettes in a savings plan that averages a 4% annual return. This means that in addition to saving $ 1260 per year, she gets 4% annually. For this you must first know how much 4% equals. For that you must keep in mind that to obtain a percentage in decimals, you must divide by 100. Then 0.04 represents 4%.

Now, to get the annual return of the savings plan you multiply the percentage by the amount invested in the plan. And to determine the total amount of money she save in a year with this plan, you add the amount invested plus the annual return. All this is:

0.04*$1260+$1260=$1310.4

This means that finally per year she save $ 1310.4 with the annual return.

You know that between 65 and 21 years of age of the student, there is a difference of 44 years, obtained by calculating 65 years minus 21 years. Then you can make a simple rule of three to determine the amount of money saved during those 44 years:if in one year the student save $1310. 4, how much money do she save in 44 years?

$\frac{1310.4*44 years}{1 year} =57657.6$

So, finally,  she will have saved $ 57657.6 by the time she is 65

5 0

3 years ago

The box plot shows the number of years during which 12 teams have participated in a rugby tournament:

Anit [1.1K]

The answer is

B. 3 schools

100% Verified!

Hope This Helps!:)

3 0

2 years ago

5PLSS NEED HELP.........

love history [14]

Answer:

acute: 7, 9

right: 8, 10

obtuse: 5, 6

Step-by-step explanation:

When you have a number of identical calculations to do, it is convenient to do them in a spreadsheet. You only need to enter the formula once and copy it as many times as needed.

The attachment shows the "sum of squares" calculation and comparison to the square of the longest side. When the sum is too small, the longest side is longer than needed for a right angle, so the triangle is obtuse. When the sum is too great, the longest side is too short for a right angle, so the triangle is acute.

We have skipped the tedious arithmetic and shown the results in the attached table.

8 0

2 years ago