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2 years ago

Which trig function would you use?

Mathematics

2 answers:

Vinil7 [7]2 years ago

8 0

Answer:

tangent.

Step-by-step explanation:

with reference angle 43°

perpendicular (p) = a

base (b) = 11

So here we use

tangent = p / b

Hope it will help :)

vovikov84 [41]2 years ago

7 0

I did not think was doing a good job

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A ball is thrown into the air with an upward velocity of 80ft/s. Its height H in feet after T seconds id given by the function H

pashok25 [27]

1. The function H= -16T^2+80T+5 is a parabola of the form $a x^{2} +bx+c$ , so to find the maximum height of the ball, we are going to find the y-coordinate of the vertex of the parabola. To find the y-coordinate of the vertex we are going to evaluate the function at the point $\frac{-b}{2a}$ .
From our function we can infer that $b=80$ and $a=-16$ , so the point \frac{-b}{2a} [/tex] will be $\frac{-80}{-2(16)} = \frac{5}{2}$ . Lets evaluate the function at that point:
$h=-16t^2+80t+5$
$h=-16( \frac{5}{2} )^2+80( \frac{5}{2} )+5$
$h=105$

We can conclude that the ball reaches a maximum height of 105 feet.

2. Since we now know that the maximum height the ball reaches is 105 feet, we are going to replace $h$ with 105 in our function, then we are going to solve for $t$ to find how long the ball takes to reach its maximum height:
$h=-16t^2+80t+5$
$105=-16t^{2}+80t+5$
$-16t^2+80t-100=0$
$-4(4t^{2}+20t-25)=0$
$4(2t-5)^2=0$
$2t-5=0$
$t= \frac{5}{2}$
$t=2.5$

We can conclude that the ball reaches its maximum height in 2.5 seconds.

3. Just like before, we are going to replace $h$ with 5 in our original function, then we are going to solve for $t$ to find how long will take for the ball to be caught 5 feet off the ground:
$h=-16t^2+80t+5$
$5=-16t^2+80t+5$
$-16t^{2}+80t=0$
$-16t(t-5)=0$
$t-5=0$
$t=5$

We can conclude that it takes 5 seconds for the ball to be caught 5 feet off the ground.

5 0

3 years ago

Kaitlyn was asked to find which expression below is equivalent to -3x + 5(x + 2)?

NISA [10]

The correct answer is c (2x+10)
I think her error was that she multiplied he numbers wrong

4 0

2 years ago

Read 2 more answers

A survey organization has used the methods of our class to construct an approximate 95% confidence interval for the mean annual

lawyer [7]

Answer:

$\bar X = \frac{66000+70000}{2}= 68000$

We can estimate the margin of error with this formula:

$ME= \frac{Upper -Lower}{2}= \frac{70000-66000}{2}= 2000$

And the margin of error is given by:

$ME = z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$

And we can rewrite the margin of error like this:

$ME =z_{\alpha/2}*SE$

Where $SE= \frac{\sigma}{\sqrt{n}}$

For 95% of confidence the critical value is $z_{\alpha/2}= \pm 1.96$

The Standard error would be:

$SE= \frac{ME}{z_{\alpha/2}}= \frac{2000}{1.96}= 1020.408$

For 99% of confidence the critical value is $z_{\alpha/2}= \pm 2.58$

And the new margin of error would be:

$ME = 2.58* 1020.408 = 2632.653$

And then the interval would be given by:

$Lower = 68000- 2632.653 = 65367.347$

$Upper = 68000+ 2632.653 = 70632.653$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

The 95% confidence interval is given by (66000 , 70000)

We can estimate the mean with this formula:

$\bar X = \frac{66000+70000}{2}= 68000$

We can estimate the margin of error with this formula:

$ME= \frac{Upper -Lower}{2}= \frac{70000-66000}{2}= 2000$

And the margin of error is given by:

$ME = z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$

And we can rewrite the margin of error like this:

$ME =z_{\alpha/2}*SE$

Where $SE= \frac{\sigma}{\sqrt{n}}$

For 95% of confidence the critical value is $z_{\alpha/2}= \pm 1.96$

The Standard error would be:

$SE= \frac{ME}{z_{\alpha/2}}= \frac{2000}{1.96}= 1020.408$

For 99% of confidence the critical value is $z_{\alpha/2}= \pm 2.58$

And the new margin of error would be:

$ME = 2.58* 1020.408 = 2632.653$

And then the interval would be given by:

$Lower = 68000- 2632.653 = 65367.347$

$Upper = 68000+ 2632.653 = 70632.653$

7 0

3 years ago

2 times 2 plus 10 plus 200 plus 56

serious [3.7K]

2×2 + 10 + 200 + 56
The order of operations requires the multiplication be done first.
= 4 + 10 + 200 + 56
The addition is done left to right.
= 14 + 200 + 56
= 214 + 56
= 270

5 0

3 years ago

Read 2 more answers

Which statement is an example of the Reflexive Property of Equality?

mafiozo [28]

Reflexive pretty much means something relating to itself. The reflexive property of equality simply states that a value is equal to itself. Further, this property states that for all real numbers, so your answer will be (A) x = x.

6 0

2 years ago