All categories

3 years ago

Which of the following is a true statement for 0 degrees less than theta less than 90 degrees?

Mathematics

1 answer:

Grace [21]3 years ago

5 0

Answer:

Step-by-step explanation:

See the graph for an example using the specific angles $\theta=60^\circ , \,\, \180^\circ-\theta=120^\circ$

See how the red segments are equal in length but going in opposite directions?

$\tan{60^\circ}=\sqrt{3} \\ \tan{120^\circ=-\sqrt{3}$

a. This can't be correct: it says $\tan{\theta}$ is equal to its opposite. That is never true in Quadrant I where all tangent values are positive.

b. Not true in Quad. I. Consider $\tan{60^\circ}, \,\, \tan{30^\circ}$ .

You might be interested in

Ann and Betty shared some money in the ratio 2:3. Ann received 120 dollars.

natka813 [3]

B/120=3/2 multiply both sides by 120

b=360/3

b=$120.00

4 0

3 years ago

Read 2 more answers

Beth is taking out a loan to purchase a new home. She is financing $50,000 for 25 years at an interest rate of 14.25%. What is h

kozerog [31]

The present value (PV) of a loan for n years at r% compounded t times a year where there is equal P periodic payments is given by:

$PV=P\left( \frac{1-\left(1+ \frac{r}{t} \left)^{-nt}}{ \frac{r}{t} } \right)$

Given that <span>Beth is taking out a loan of PV = $50,000 to purchase a new home for n = 25 years at an interest rate of r = 14.25%. Since she is making the payment monthly, t = 12.

Her monthly payment is given by:

$50,000=P\left( \frac{1-\left(1+ \frac{0.1425}{12} \right)^{-25\times12}}{ \frac{0.1425}{12} } \right) \\ \\ =P\left( \frac{1-(1+0.011875)^{-300}}{ 0.011875 } \right)=P\left( \frac{1-(1.011875)^{-300}}{ 0.011875 } \right) \\ \\ =P\left( \frac{1-0.028969}{ 0.011875 } \right)=P\left( \frac{0.971031}{ 0.011875 } \right)=81.770994P \\ \\ \therefore P= \frac{50,000}{81.770994} =\$611.46$

Therefore, her monthly payment is about $611.50
</span>

3 0

3 years ago

A certain kind of animal weighs about 75 pounds at birth and gains about 2 pounds per day for the first few weeks. Determine tho

Elodia [21]

<h3>Answer:</h3>

<h3>Step-by-step explanation:</h3>

Let w represent the weight of the animal in pounds, and d the age in days. The problem statement tells us ...

... w = 75 +2d

We want to find d when w > 125.

... 75 +2d > 125 . . . . . substitute the above expression for w

... 2d > 50 . . . . . . . . . subtract 75

... d > 25 . . . . . . . . . . . divide by 2

The animal will weigh more than 125 pounds when it is more than 25 days old.

4 0

3 years ago

If an experimenter sets equal to .01, then she is defining a "statistically rare" event as an event occurring more than one time

Fynjy0 [20]

Answer:

The correct answer is an event occurring one or fewer times in 100 times if the null hypothesis is true.

Step-by-step explanation:

For a statistically rare event, its probability is relatively small and the event is very unlikely to occur. Therefore, if an experimental sets equal to 0.01 which is statistically rare, then we can interpret this mathematically as:

p(event) = 0.01 = 1/100

where p(event) is the probability of the event.

In addition, statistically, null hypothesis signifies no major difference between the specified parameters, and any obvious difference that might occur as a result of experimental error. Thus, it can be concluded that the event is occurring one or fewer times in 100 times if the null hypothesis is true.

3 0

3 years ago

Jordan uses a 20% off coupon when she buys a camera that originally cost $100.00 How much money does jordan save and what is the

prohojiy [21]

100 - (1-20%) = 80$
so basically the camera cost 80

5 0

3 years ago

Read 2 more answers