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Fantom [35]
3 years ago
12

In ΔWXY, the measure of ∠Y=90°, XW = 89, WY = 80, and YX = 39. What ratio represents the cosine of ∠X?

Mathematics
1 answer:
BartSMP [9]3 years ago
6 0

Answer:

It's 39/89

Step-by-step explanation:

cos X = adjacent/ hypotenuse = 39/89

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Mario invests 1,500 in a savings account that earns 2% interest a year. He also plans to set aside $50 cash a month. A:2100(1.02
Sedbober [7]

Answer:

<em>1500(1.02)^x  +   600x</em> is how much he has in savings at the end of x years where it be in the bank or elsewhere

Step-by-step explanation:

x is in years

Let's just think about the investment of 1500 in an account earning 2% per year.

Before the years even start, you are at 1500 ( present value).

The next year (year 1), it would be 1500*.02+1500=(1500)(1.02).

The next year (year 2), it would be 1500(1.02)(.02)+1500(1.02)=1500(1.02)(1.02).

We keep multiplying factors of (1.02) each time.

So for year x, you would have saved 1500(1.02)^x.

Now we are saving 50 cash per month. Per year this would be 12(50) since there are 12 months in a year.  12(50)=600.  

So the first year you would have 600.

The second year you would have 600(2) or 1200.

The third year you would have 600(3) or 1800.

Let's put this together:

1500(1.02)^x  +   600x

4 0
3 years ago
Calls to a customer service center last on average 2.8 minutes with a standard deviation of 1.4 minutes. An operator in the call
Natali5045456 [20]

Answer:

The expected total amount of time the operator will spend on the calls each day is of 210 minutes.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

n-values of normal variable:

Suppose we have n values from a normally distributed variable. The mean of the sum of all the instances is M = n\mu and the standard deviation is s = \sigma\sqrt{n}

Calls to a customer service center last on average 2.8 minutes.

This means that \mu = 2.8

75 calls each day.

This means that n = 75

What is the expected total amount of time in minutes the operator will spend on the calls each day

This is M, so:

M = n\mu = 75*2.8 = 210

The expected total amount of time the operator will spend on the calls each day is of 210 minutes.

6 0
3 years ago
PLEASE HELP NO ONE WILL PLEASE
kakasveta [241]
Right cylinderSolve for volumeV≈1005.31cm³<span><span><span>rRadiuscm</span><span>hHeightcm</span></span></span>
6 0
3 years ago
What is the equation of the line in slope intercept form form
Tamiku [17]
Those points you can see on the graph.
The first one refers to the x value and the second, to y value. If you notice, when you have x = 0, y = 3. When x = -5, y = 0.

When the line intercepts one of the axis, means the other coordinate is = 0.
3 is y intercept, it means the x value of that point is 0. The same happens to the x intercept - 5. It means the y value of that point is 0.

A ( -5 | 0 )
B ( 0 | 3 )

m = Delta y / Delta x.
Delta y is the variation over the x-axis. Delta x, the x axis.


Be safe!

5 0
3 years ago
Please answer this (photo below)
lozanna [386]

Answer:

Please see attached image for the graph

Step-by-step explanation:

To graph the elevation versus time, we start by plotting the first point at time zero (when the climb begins) when Zane is 20 meters below the edge (-20 meters). This corresponds to the point (0, -20).

One second later (1 in the horizontal axis), Zane has moved up 4 meters, now reaching -16 meters. This is the point (1, -16) on the graph.

One second later at time 2 seconds, he is another 4 meters up which corresponds to the point (2, -12) on the graph.

you can go on like this plotting more points on the graph.

Please see the attached image that illustrates this and shows the appropriate line that represents Zane's position versus time (pictured in red)

7 0
3 years ago
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