Right Triangle Trigonometry

Right Triangle Trigonometry

Answers

Answer 1

Answer:

B. 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Trigonometry

[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cos∅ = adjacent over hypotenuse

Step-by-step explanation:

Step 1: Define

Angle = 37°

Adjacent Leg = x

Hypotenuse = 10

Step 2: Solve for x

Substitute [Cosine]:                    cos37° = x/10Isolate x:                                      10cos37° = xRewrite:                                       x = 10cos37°Evaluate:                                     x = 7.98636Round:                                         x ≈ 8
Answer 2

Step-by-step explanation:

please it my steps to work on paper whorksheet

Right Triangle Trigonometry

Related Questions

Simplify.
12 + 15 : 3x6 - 4

Answers

Answer:

Step-by-step explanation:

Divide the numbers

12+153⋅6−412+153⋅x6−412+315​⋅x6−412+56−412+5x6−4 12+5x6−4

A manufacturer of salad dressings uses machines to dispense liquid ingredients into bottles that move along a filling line. The machine that dispenses salad dressings is working properly when 8 ounces are dispensed. Suppose that the average amount dispensed in a particular sample of 35 bottles is 7.91 ounces with a variance of 0.03 ounces squared. Is there evidence that the machine should be stopped and production wait for repairs? The lost production from a shutdown is potentially so great that management feels that the level of significance in the analysis should be 99%.

Answers

Answer:

Step-by-step explanation:

From the given information:

The null hypothesis is:

[tex]H_o: \mu = 8[/tex]

The alternative hypothesis is:

[tex]H_1 : \mu \ne 8[/tex]

The sample size n = 35

Sample mean = 7.91

variance = 0.03

Standard deviation = [tex]\sqrt{0.03} = 0.173[/tex]

The t-test statistics is computed as:

[tex]t = \dfrac{\bar x - \mu}{\dfrac{s}{\sqrt{n}}}[/tex]

[tex]t = \dfrac{7.91 -8}{\dfrac{0.1732}{\sqrt{35}}}[/tex]

[tex]t = \dfrac{-0.09}{\dfrac{0.1732}{5.916}}[/tex]

t = - 3.0741

Degree of freedom:

df = n - 1

df = 35 - 1

df = 34

Level of significance = 1 - C.I

= 1 - 0.99

= 0.01

The t_{critical} value for the two-tailed test at 0.01 is within the rejection region:

[tex]t_{critical} = -2.728 \ and \ 2.728[/tex]

Decision rule: To reject [tex]H_o[/tex] if  [tex]t< -2.728 \ or \ t > 2.728[/tex]

As [tex]t_{statistics}[/tex] fails the rejection region, we reject [tex]H_o[/tex]

Conclusion: There is sufficient evidence to believe that the machine will not dispense 8 ounces & and it must be stopped for repairs.

You can use hypothesis testing with t test to know if there is enough evidence that he machine should be stopped and production wait for repairs.

There is enough evidence that the machine should be stopped and production wait for repairs.

Given information about taken sample are:Sample mean [tex] \overline{x} = 7.91[/tex]Sample size n = 35Sample standard deviation [tex]s = \sqrt{variance} = \sqrt{0.03} = 0.1732[/tex]Confidence should be of 99%.

Let the population mean be denoted by [tex]\mu[/tex]

Forming hypotheses:

Null hypothesis: [tex]\mu = 8[/tex] (that is, machine needs no repair and working fine)

Alternate hypothesis: [tex]\mu \neq 8[/tex] (that is, machine is not dispensing right amount and need repairs)

Using t test:

[tex]t = \dfrac{\overline{x} - \mu}{\dfrac{s}{\sqrt{n}}}[/tex]

[tex]t = \dfrac{7.91- 8}{\dfrac{0.1732}{\sqrt{35}}} = -0.30821[/tex]

Degree of freedom = sample size - 1 = 34

Level of significance = [tex]\alpha = 1 -0.99 = 0.01[/tex]

From t tables we have:

[tex]t_{critical} = t_{0.01} = \pm 0.278[/tex] (two tailed test) (at 34 degree of freedom)

Since obtained value of t -0.30821 is less than the minimum value of range [tex](-0.278, 0.278)[/tex], thus lying outside the range and thus, we cannot accept the null hypothesis and end up accepting the alternate hypothesis.

Thus, there is enough evidence that the machine should be stopped and production wait for repairs.

Learn more about testing of hypothesis for single mean here:
https://brainly.com/question/25316952

Solve for y: 18x + 3y = 24​

Answers

Answer: y=8-6x

Step-by-step explanation:

Solve for x: 1/3 (x-22) = 4x
x = -2
x = 34
x = 2
x = -10 ​

Answers

Answer:

x=-2

Step-by-step explanation:

cos(0)=square root 3/3, sin 0<0. what is the value of sin0​

Answers

Answer:

sin θ = [tex]\frac{\sqrt{6} }{3}[/tex]

Step-by-step explanation:

Given that,

cos θ = [tex]\frac{\sqrt{3} }{3}[/tex]

From the trigonometric functions,

cos θ = [tex]\frac{adjacent}{hypotenus}[/tex]

⇒ adjacent = [tex]\sqrt{3}[/tex], and the hypotenuse = 3

Let the opposite side be represented by x, applying the Pythagoras theorem we have;

[tex]/hyp/^{2}[/tex] = [tex]/adj/^{2}[/tex] + [tex]/opp/^{2}[/tex]

[tex]/3/^{2}[/tex] = [tex](\sqrt{3} )^{2}[/tex] + [tex]x^{2}[/tex]

9 = 3 + [tex]x^{2}[/tex]

[tex]x^{2}[/tex] = 9 - 3

   = 6

x = [tex]\sqrt{6}[/tex]

Thus, opposite side = [tex]\sqrt{6}[/tex]

So that,

sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]

        = [tex]\frac{\sqrt{6} }{3}[/tex]

Therefore,

sin θ = [tex]\frac{\sqrt{6} }{3}[/tex]

I will give brainliest
Find x and y, there is no given info, and the line that is 8 units long is not a midsegment, but it is parallel to the line that is ten units long

Answers

Answer:

x = 1.25

y = 1.75

Step-by-step explanation:

Since, the line that is 8 units long is parallel to the line that is ten units long.

Therefore, both the triangles are similar by AA postulate.

Corresponding sides of of the similar triangles are in proportion.

Therefore,

[tex] \frac{5}{x + 5} = \frac{7}{y + 7} = \frac{8}{10} \\ \\ \implies \frac{5}{x + 5} = \frac{8}{10} \\ \\ 5 \times 10 = 8(x + 5) \\ \\ 50 = 8x + 40 \\ \\ 50 - 40 = 8x \\ \\ 10 = 8x \\ \\ \frac{10}{8} = x \\ \\ x = 1.25 \\ \\ \\ \frac{7}{y + 7} = \frac{8}{10} \\ \\ 7 \times 10 = 8(y + 7) \\ \\ 70 = 8y + 56 \\ \\ 70 - 56 = 8y \\ \\ 14 = 8y \\ \\ \frac{14}{8} = y \\ \\ y = 1.75[/tex]

Use a matrix to solve the system:

Answers

Answer:

(2.83 , 1 , 4)

Step-by-step explanation:

[tex]2x+2y-z=4\\4x-2y-2z=2\\3x+3y-4z=-4\\[/tex]

Rewrite these equations in matrix form

[tex]\left[\begin{array}{ccc}2&2&-1\\4&-2&-2\\3&3&-4\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}4\\2\\-4\end{array}\right] \\[/tex]

we can write it like this,

[tex]AX=B\\X=A^{-1}B[/tex]

so to solve it we need to take the inverse of the 3 x 3 matrix A then multiply it by B.

We get the inverse of matrix A,

[tex]A^{-1}=\left[\begin{array}{ccc}7/15&1/6&-1/5\\1/3&-1/6&0\\3/5&0&-2/5\end{array}\right] \\[/tex]

now multiply the matrix with B

[tex]X=A^{-1}B\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}7/15&1/6&-1/5\\1/3&-1/6&0\\3/5&0&-2/5\end{array}\right]\left[\begin{array}{ccc}4\\2\\-4\end{array}\right] \\\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}2.83\\1\\4\end{array}\right] \\[/tex]

Plz help plz I’m begging I will give brainliest

Answers

Answer:

B is the answer.

Step-by-step explanation:

Answer:

The second one

Step-by-step explanation:

-2 and 1/4 is the same as -9/4 bec -9/4 is just in the improper form.

(can i get brainliest now)

Which function could be represented by the graph on the
coordinate plane?

Answers

The last option f(x)=(x-8)^2 -6

The reason is that whatever is in the parenthesis is always opposite. So since the graph is on the right side that means it’s -8 not positive 8. And the -6 represents a vertical translation and the graph is placed below zero.

Answer:

f(x)=(x-8)^2 -6

Step-by-step explanation:

just say something so that you can have my points :)

Answers

Answer:

thanks !!

Step-by-step explanation: have a wonderful day :)

Answer:

Thank you!!

Step-by-step explanation:

Have a great day:)

The amount of change that goes up

Answers

Answer:

rates of change, positive or negative

Step-by-step explanation:

How would you write 0.7 repeated as a fraction

Answers

Answer:

7/9

Step-by-step explanation:

7/9 = 0.777777777777777777...

0.7 repeated can be written as a fraction [tex]\frac{7}{9}[/tex].

What are Fractions?

Fractions are defined as a part or portion in a whole. There are two parts for a fraction, numerator which is the upper part and the denominator, which is the lower part.

Fractions are generally written in the form [tex]\frac{p}{q}[/tex], where p and q are real numbers. Here, the number p is called the numerator and the number q is called the denominator.

Fractions can be simplified as decimals.

We have to find the fraction representing the number 0.7 repeated.

0.7 repeated is actually the number 0.77777.....

The quotient of 5/8 = 0.625

The quotient of 6/7 = 0.857...

The quotient of 7/9 = 0.777.......

The quotient of 7/100 = 0.07

So, the quotient of 7/9 is the required number.

Hence the fraction which on simplification gives 0.7 repeated is 7/9.

To learn more about Fractions, click on the link given below:

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trapped in a cell that contains 3 doors. The first door leads to a tunnel that returns her to back tothe cell after 2 days of travel. The second door leads to a tunnel that returns her back to the cell after 4days of travel. The third door leads her freedom after 1 day of travel. If it is assumed that Ally will alwaysselect doors 1, 2, and 3 with probabilities 0.5, 0.3, and 0.2 (respectively), what is the expected number ofdays until she reaches freedom

Answers

Answer:

The expected number of days until prisoner reaches freedom is 12 days

Step-by-step explanation:

From the given information:

Let X be the random variable that denotes the number of days until the prisoner reaches freedom.

We can evaluate E(X) by calculating the doors selected, If Y be the event that the prisoner selects a door, Then;

E(X) = E( E[X|Y] )

E(X) = E [X|Y =1 ] P{Y =1} + E [X|Y =2 ] P{Y =2} + E [X|Y =3 ] P{Y =3}

[tex]E(X) = (2 + E[X])\dfrac{1}{2}+ (4 + E[X])\dfrac{3}{10}+ 1 (\dfrac{2}{10})[/tex]

[tex]E(X) = (2 + E[X])0.5+ (4 + E[X])0.3+ 0.2[/tex]

Solving for E[X]; we get

E[X] = 12

If f(x)=|x−5|+2, find f(3)

Answers

Answer:

f(3) = 4

Step-by-step explanation:

The absolute value, |X|, is defined as the magnitude of a number without regard to its sign. For example, absolute value of 1 is 1 and absolute value of -1 is 1.

Thus, based on the function:

f(x)=|x−5|+2

f(3) = |3−5|+2

f(3) = |-2|+2

-Absolute value of -2 = 2-

f(3) = 2+2

f(3) = 4

2 3/4 2 11/12 in simplist form

Answers

Answer:

2 9/12 and 2 11/12

Step-by-step explanation:

if that is what u are asking. simplist form is 2 3/4 and 2 11/12.

Hope that helps and good luck :)

how many men have a waist measurement of more than 85cm

Answers

Answer:

29

Step-by-step explanation:

The answer is 29 hope this helps you! :)

Christopher has breakfast at a cafe and the cost of his meal is $36.00 Because of the service, he wants to leave a 10% , percent tip.


the answer is 39.60

Answers

Nice to know, thank you!

Kaitlyn is sharpening a pencil that is 19 cm. Each time she sharpens it goes down 2.5 cm. If she sharpens her pencil 4 times. How many centimeters of pencil does she have left?

Answers

Answer:

9 cm

Step-by-step explanation:

2.5x4=10

7x+8y=-23
3x - 16y= 29

Answers

Answer:

(-1, -2)

Step-by-step explanation:

Plz answer the question attached

Answers

Answer:

y = -2x + 5

Step-by-step explanation:

To find the slope, you need to pick two points and put into the slope formula.  It doesn't matter which ones, you will get the right answer regardless.  I used (-3, 11) and (2, 1).

[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } \\m=\frac{11 -1 }{-3 -2 } \\m=\frac{10 }{-5 } \\m=-2[/tex]

Now that you have the slope, you can plug it into point-slope form to find the equation in slope-intercept form.  You will also need to plug one of the given points.  Again, it doesn't matter which one.

[tex]y-y_{1}=m(x-x_{1} )\\y-1=-2(x-2)\\y-1=-2x+4\\y=-2x+5[/tex]

Which value is equivalent to the expression 45?

Answers

Answer:

what value are you talking about

Step-by-step explanation:

Answer:

It's 1024

Step-by-step explanation:

Your bill at the restaurant has total of 23.50. You received fantastic service from your server and would like to leave a 20% tip

Answers

Answer:

28.2

Step-by-step explanation:

Answer:

20% is 4.70

New total with tip = 28.20

Step-by-step explanation:

23.50 x .20

4.70

I NEED HELP ASAP PLZ

Answers

first one

Step-by-step explanation:

Answer:

1/2 is the answer

Step-by-step explanation:

The value of x, rounded to the nearest tenth is...

Answers

Answer:

67

Step-by-step explanation:

67 I’m pretty sure :(

Which value is equivalent to the expression 4^5

Answers

Answer:

20

Step-by-step explanation:

6a) Choose yes or no to tell whether the GCF of 9 and 15 is 3.
Yes
Or
No

Answers

Yes because the greatest common factor (largest factor both numbers share) is three

A meteorologist predicted that there would be 1.0 inches of rainfall from a storm. Instead, there were 2.2 inches of rainfall. Which statements are true?

a
The prediction was off 35%
b
The percent error of the prediction was about 55%.
c
If the percent error should be less than 20%, the prediction was acceptable.
d
The difference between the predicted and the actual rainfall was 1.2 inches

Answers

Answer:

pls write the question clearly

Step-by-step explanation:

hxhdhdudjfjfjfjfjjfucjdjshshsshsh

The statements that is true: B. The percent error of the prediction was about 55%.

D. Difference between the predicted and actual rainfall was 1.2 inches.

What is the percentage error?

Percentage error can be calculated  using this formula;

Percentage error = Actual value observed - Expected value /Expected value

The Percentage error is;

= 2.2 - 1.0 / 2.2

Percentage error = 1.2 /2.2

Percentage error = 0.545 × 100

Percentage error = 55% (Approximately)

Since Difference between the predicted and actual rainfall;

Difference = Actual rainfall - Predicted rainfall

Difference = 2.2 -1.2

Difference = 1.2 inches.

Hence the correct statement is option B and D.

Learn more about percentage error;

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which of the following is a quadratic function?

Answers

Answer:

A

Step-by-step explanation:

Y = ax2 +bx + c

Each of four test scores in Connie’s class is to be weighted equally. On the first three tests, Connie scored 80%, 90% and 95%. What percent must she score on her fourth test to have an overall average of exactly 90%?

Answers

Answer:

95%is the answer

Step-by-step explanation:

Answer:

95%

Step-by-step explanation:

We can use the balancing method to do this.. first what is the total below 90?

The total is 10% because 90-80 which was the only percentage below 90 is 10%. Then, what is the total above 90?

The total is 5% because the only percentage above 90 is 95 and 95-90 is 5%

Now we use the balancing method to get from 5-10.

Using the balancing method we get 95%

5. [Statistical independence] Consider a month consisting of exactly 28 days, split into four weeks of seven days each, such that the first of the month is a Monday. One of the 28 days will be selected uniformly at random (so that each day has probability 1/28 of being selected). Event A is that the selected day is a Monday or Wednesday. Event B is that the selected day falls either in the first or third weeks of the month. Are A and B independent or not? Show your work.

Answers

Answer:

They are independent events

Step-by-step explanation:

For independent events;

Pr(A & B) = Pr(A) × Pr(B)

Given that:

A = day is Monday or Wednesday

Since we have four weeks and each week will have one Monday and Wednesday each,

Pr(A) = (8/28)

B = day falls in the first or third week

Since, first and the third week has a total of 14 days,

Pr(B) = 14/28

Therefore;

Pr(A) × Pr(B) = 8/28 * 14/28

Pr(A) × Pr(B)  = 1/7

Now, A and B = day is either Monday or Wednesday, and it is in the first or third week

There are four such days, Thus Pr(A and B) = 4/28 = 1/7

Since, Pr(A and B) = Pr(A) * Pr(B),

A and B are independent events

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