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2 years ago

Find the exact value of cos A in simplest radical form?

Mathematics

1 answer:

Mamont248 [21]2 years ago

3 0

Answer:

cosA = 7/8

Step-by-step explanation:

cos∅ = adjacent over hypotenuse

cosA = 14/16

cosA = 7/8

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Andrew deposits $300 into an account that earns 2% interest each year. After the first year, Andrew has $306 in the account. Aft

Sliva [168]

Answer:

It is a simple interest account

Step-by-step explanation:

As we might see from the given earnings, the amount of money he earned each year is the same as in the previous year. This means that the amount of money is growing linearly instead of exponentialy. This is characteristic to a simple interest account, which is found by using the formula:

I=Prt

where I = interest earned.

P = principal

r = Interest rate

t = time in years,

if we use this formula to calculate the amount of money earned after t years, we can see it will be the same as the values reported:

I=$300(0.02/year)(1year)=$6

I=$300(0.02/year)(2years)=$12

I=$300(0.02/year)(3years)=$18

So this simple interest account.

8 0

2 years ago

Body armor provides critical protection for law enforcement personnel, but it does affect balance and mobility. The article "Imp

yKpoI14uk [10]

Answer:

No, there is not enough evidence to support the claim that true average task time with armor is less than 2 seconds.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that true average task time with armor is less than 2 seconds.

Then, the null and alternative hypothesis are:

$H_0: \mu=2\\\\H_a:\mu< 2$

The significance level is 0.01.

The sample has a size n=52.

The sample mean is M=1.95.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=0.2.

The estimated standard error of the mean is computed using the formula:

$s_M=\dfrac{s}{\sqrt{n}}=\dfrac{0.2}{\sqrt{52}}=0.028$

Then, we can calculate the t-statistic as:

$t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{1.95-2}{0.028}=\dfrac{-0.05}{0.028}=-1.803$

The degrees of freedom for this sample size are:

$df=n-1=52-1=51$

This test is a left-tailed test, with 51 degrees of freedom and t=-1.803, so the P-value for this test is calculated as (using a t-table):

$P-value=P(t$

As the P-value (0.039) is bigger than the significance level (0.01), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that true average task time with armor is less than 2 seconds.

3 0

2 years ago

What kind of salad do snowmen eat? Punchline 73 answer key

motikmotik

Answer:

Coldslaw

Step-by-step explanation:

6 0

2 years ago

Find a ⋅ b. a = 8i + 6j, b = 4i + 5j

frutty [35]

You could rewrite this as double brackets, as you are multiplying together two sets of two terms. It would then look like:
(8i + 6j)(4i + 5j)
and you can expand by multiplying together all of the terms

8i × 4i = 32i²
8i × 5j = 40ij
6j × 4i = 24ij
6j × 5j = 30j²

To get your final answer, you then just need to add together all of the like terms, and get 32i² + 30j² + 64ij

I hope this helps!

7 0

2 years ago

Read 2 more answers

Convert 12080 gallons per month into liters per hour

Anastaziya [24]

In this question , we have to convert 12080 gallons per month to liters per hour .

There are 3.78541 liters in 1 gallons , and there are 30 days in a month, and 24 hours in a day .

So to convert 12080 gallons per month, we have to multiply 12080 by 3.78541 and divide the result by the product of 30 and 24. THat is

$12080 gallons per month = \frac{12080*3.78541}{24*30} liters / hour$