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2 years ago

PLEASE HELP ME BOTH MY TUTORS LEFT AT THE SAME TIME I NEED MAJOR HELP!!! PPPPLLLLEEEEAAAASSSSEEE

Mathematics

1 answer:

Elenna [48]2 years ago

5 0

Problem 1

The formula to use is
s = r*theta

where,
s = arc length
r = radius
theta = angle in radians
Note: if the angle is not in radians, you have to convert it over to radians. However, in this case we are told the angle is "5pi/4 radians". So no conversion is needed.

In this case,
s = unknown (this is what we want to solve for)
r = 34
theta = 5pi/4
keep in mind that 5pi/4 is the same as (5/4)*pi

----------------------------

Plug the value of r and theta into the formula to get...
s = r*theta
s = 34*(5pi/4)
s = (34*5/4)*pi
s = 42.5*pi
s = 42.5*3.14
s = 133.45

----------------------------
----------------------------

Final Answer: 133.45

===============================================

Problem 2

sin(angle) = opposite/hypotenuse
sin(61.7) = 8/y
y*sin(61.7) = 8
y = 8/sin(61.7)
y = 9.08598042654456 ... use a calculator
y = 9 ... rounding to the nearest whole number

----------------------------
----------------------------

Final Answer: 9

===============================================

Problem 3

We need to know the length of BC. Let's call this x for now. Use the pythagorean theorem to find x

x^2 + 14^2 = 50^2
x^2 + 196 = 2500
x^2 + 196-196 = 2500-196
x^2 = 2304
sqrt(x^2) = sqrt(2304)
x = 48

So BC = 48 units long
Now we can compute the tangent of angle B

----------------------------

tan(angle) = opposite/adjacent
tan(B) = AC/BC
tan(B) = 14/48
tan(B) = 7/24

----------------------------
----------------------------

Final Answer: 7/24

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Problem 4

In this current stage, I cannot answer this question because the image isn't showing up. On my end, all I see is a black rectangle with no triangle showing. It seems like some kind of glitch is happening. Please repost this image. Thank you.

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Problem 5

There are multiple answers here so it seems like there should be a restriction. Does it state what the restriction must be? Please let me know. Thank you.

===============================================

Problem 6

Rule:
sin(x) = cos(90-x)
where x is an angle in degrees

----------------------------

Using that rule mentioned above, we can replace the "sin(x)" term with "cos(90-x)" then solve for x

cos(63) = sin(x)
cos(63) = cos(90-x)
both arguments must be equal, so 63 must be equal to 90-x

63 = 90-x
63+x = 90-x+x
x+63 = 90
x+63-63 = 90-63
x = 27

----------------------------
----------------------------

Final Answer: 27

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6/7 is the awnser for this one

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2 years ago

3. A new process has been developed for applying pho toresist to 125-mm silicon wafers used in manufac turing integrated circu

dlinn [17]

Answer:

The null hypothesis is $H_o : \mu = 13.4000$

The alternative hypothesis is $H_a : \mu \ne 13.4000$

The null hypothesis is rejected

The 99% confidence level is $13.3930 < \mu < 13.3994$

Step-by-step explanation:

From the question we are told that

The sample size is n = 10

The population mean is $\mu = 13.4 000 \ angstroms$

The level of significance is $\alpha = 0.05$

The sample data is

13.3987, 13.3957, 13.3902, 13.4015, 13.4001, 13.3918, 13.3965, 13.3925, 13.3946, and 13.4002

Generally the sample mean is mathematically represented as

$\= x = \frac{13.3987+ 13.3957\cdots +13.4002 }{10}$

=> $\= x = 13.3962$

Generally the sample standard deviation is mathematically represented as

$\sigma = \sqrt{\frac{\sum (x_i - \= x)^2}{n} }$

=> $\sigma = \sqrt{\frac{ (13.3987 - 13.3962)^2 + (13.3987 - 13.3962)^2 + \cdots + (13.3987 -13.4002)^2 }{10} }$

=> $\sigma =0.0039$

The null hypothesis is $H_o : \mu = 13.4000$

The alternative hypothesis is $H_a : \mu \ne 13.4000$

Generally the test statistics is mathematically represented as

$z = \frac{\= x - \mu}{\frac{\sigma}{\sqrt{n} } }$

=> $z = \frac{13.3962 - 13.4000}{\frac{0.0039}{\sqrt{10} } }$

=> $z = 3.08$

Generally the p-value is mathematically represented as

$p-value = 2P( z > 3.08)$

From the z-table $P(z > 3.08)= 0.001035$

$p-value = 2* 0.001035$

$p-value = 0.00207$

So from the obtained value we see that

$p-value < \alpha$

Hence the null hypothesis is rejected

Consider the b question

Given that the confidence level is 99% then the level of significance is

$\alpha = (100 -99)\%$

=> $\alpha = 0.01$

Generally from the normal distribution table critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 2.58$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }$

=> $E = 2.58 * \frac{0.0039}{\sqrt{10} }$

=> $E = 0.00318$

Generally the 99% confidence interval is mathematically represented as

$13.3962 - 0.00318 < \mu < 13.3962 + 0.00318$

=> $13.3930 < \mu < 13.3994$

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3 years ago

In a group of 700 people only 5% of them have red hair how many people hade red hair

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35 people have red hair. Do 700 times 0.05.

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2 years ago

Rebecca moves to a large city that had two event stadiums. The larger stadium can hold 4.5 times 10^4 people, which is about 15

NNADVOKAT [17]

Answer:

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Step-by-step explanation:

Total number of people larger stadium can hold equals 4.5 times $10^{4}$ people,

which equals 45,000 people.

Now,

it is given that larger stadium can hold 15 times more people than small stadium .

So, smaller stadium will hold 15 times less people than the larger stadium ,

Which equals , $\frac{45000}{15}$ = 3,000 people.

Thus ,

Smaller stadium can hold a total of 3,000 people.

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2 years ago

A rectangle is 3 feet longer than it is wide. Write the equation for the perimeter of the rectangle.

maria [59]

Let x be the width of the rectangle
Therefore length=3+x
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Hope this is helpful mark me as brainlist

Thank You!

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2 years ago