Find the measure of the angle indicated (x). Round to the nearest tenth Show your work to support your answer
Answers
Answer:
Karen, this type of question is such a tricky question, there is a lot of things that you just have to remember for these. Also, this type of question is asked a lot on brainly, you are in good company :P This also makes me wonder if math teachers are just REALLY BAD at teaching this.. hmmm Something is up with this type of problem b/c I have answer 100s of these type on here.. they are tricky. soooo...
Step-by-step explanation:
1st ,
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
with the above info, we can solve your triangle :P not meant to sound "wrong" .. anyway
look for the info you are given and what you want to find... and match that to one of the 3 formulas. after you've done this a few 100 times.. you'll just remember the above formulas. :D
sooo I see that we want to find that angle ∅ and we know two of the sides and that this is a right triangle.. which means we can use the above formulas on this triangle. So we know the adjacent side and the opposite side, to the angle, soo lets use TOA
Tan(∅) = Opp / Adj
Tan(∅) = 4 / 13
now the algebra gets a little tricky here.. but it's just using the inverse function of the Tan to find the angle .. it's just going backwards with the function is all.. nothing to see here... move along.. :D
take the inverse Tan function ( arcTan) on both sides... sooo
∅ = arcTan( 4 /13 ) ( this will find the angle, but make sure your calculator is set to degrees.. and not radians )
∅ = 17.1027...°
So, now we know that angle ∅
SOH CAH TOA is super helpful for this kind of triangle problem :)
Related Questions
The U.S. and many other countries have recently tightened airport security. A sociologist is interested in estimating the proportion of the travelers who feel that airports are safe. The sociologist found that 375 of the 500 travelers randomly selected and interviewed indicated that the airports were safe. With an alpha level of 0.05, conduct a test to determine whether the true proportion of interest is higher than 0.7.
Answers
Answer:
0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.
Step-by-step explanation:
Conduct a test to determine whether the true proportion of interest is higher than 0.7.
This means that the null hypothesis is: [tex]H_{0}: p = 0.7[/tex]
And the alternate hypothesis is: [tex]H_{a}: p > 0.7[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.7 is tested at the null hypothesis:
This means that [tex]\mu = 0.7, \sigma = \sqrt{0.7*0.3}[/tex]
The sociologist found that 375 of the 500 travelers randomly selected and interviewed indicated that the airports were safe.
This means that [tex]n = 500, X = \frac{375}{500} = 0.75[/tex]
Value of the z-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.75 - 0.7}{\frac{\sqrt{0.7*0.3}}{\sqrt{350}}}[/tex]
[tex]z = 2.44[/tex]
P-value of the test:
Probability of z being larger than 2.44, that is, a proportion larger than 0.75.
This is, looking at the z-table, 1 subtracted by the pvalue of Z = 2.44. S
Z = 2.44 has a pvalue of 0.9927
1 - 0.9927 = 0.0073
0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.
Can someone help me pls
Answers
Answer:
Oops, didn't mean to answer because I already answered this one.
Step-by-step explanation:
Help me I need to get this right
Answers
Answer:
0.006 (decimal form) or 0.6% (percentage form)
Step-by-step explanation:
0.1(0.2)(0.3) = 0.006
Evaluate the expression \dfrac{4^x}{2^x}
2
x
4
x
start fraction, 4, start superscript, x, end superscript, divided by, 2, start superscript, x, end superscript, end fraction for x=3x=3x, equals, 3.
Answers
Answer:
4
Step-by-step explanation:
(2)²ˣ/2ˣ is the expression equivalent to 4ˣ/2ˣ.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 4ˣ/2ˣ.
start fraction, 4, start superscript, x, end superscript, divided by, 2, start superscript, x, end superscript, end fraction for x=3x=3x, equals, 3.
In the given expression x is the variable and division is the operator.
Which means Four to the power of x and divided by two to the power of x.
4ˣ/2ˣ.
The numerator 4ˣ can be written as (2)²ˣ
(2)²ˣ/2ˣ
Hence, (2)²ˣ/2ˣ is the expression equivalent to 4ˣ/2ˣ.
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help lol don’t understand smart teacher math awesome simple lol geometry brainlyesy
Answers
Answer:
1. square, 28cm^2
2. triangle, 60ft^2
3. trapezoid, 21ft^2
4. pentagon, 30cm^2
Step-by-step explanation:
4x+15 what is the value of X
Answers
Answer:
No solution
Step-by-step explanation:
4x+15 doesn't equal anything so it's impossible to solve.
Unless you forgot to add what it equals I can't solve it for you :(
9)
5.6 yd
5 yd
12 yd
Find the area. (A = 1/2 ( 61 + b2) h)
Answers
Answer:
Area, A = 63.6 square yards
Step-by-step explanation:
A trapezoid refers to a quadrilateral that is convex in shape; as such it has no equal sides and no parallel sides.
Let the height of a trapezoid be h.
Let the top base of a trapezoid be b1.
Let the bottom base of a trapezoid be b2.
[tex] Area \; of \; trapezoid = \frac {1}{2} * (Sum \; of \; nonparallel \; sides) * height [/tex]
Therefore, [tex] Area \; of \; trapezoid = \frac {1}{2} * (b_{1} + b_{2}) * h [/tex]
Given the following data;
Length, b1 = 5 yards
Width, b2 = 5.6 yards
Height, h = 12 yard
To find the area of geometrical shape (trapezoid), we would use the above formula;
A = 1/2 (b1 + b2) * h
Substituting into the formula, we have;
A = ½ * (5 + 5.6) * 12
A = ½ * (10.6)*12
A = 5.3 * 12
Area, A = 63.6 square yards
Find the height and area of the polygon. Round your answer to the nearest thousandths (Use exact values until the end).
Answers
Answer:
height 6 radicAL 2 area: 120 radical 2
Step-by-step explanation:
A snowball has a diameter of 6 centimeters. How long would it take the snowball to melt if it melts at a rate of 1.8 cubic centimeters a minute.
Answers
What is the tan M, sin M and Cos M?
Answers
I hope this helps you
tgM=39/80
sinM=39/89
cosM=80/89
Need help ASAP giving away 15 points will mark brainlyist as well
Answers
Answer:
1. < 11
2. < 5
3. < 1
4. x=38
5. x=25
6. x=6
7. x=18
8. x=52
9. x=15
10. x=12
Step-by-step explanation:
1. Vertical Angles
2. complementary angles= 90
3. vertical Angles
4. Supplementary Angles- 4x+28=180
5. vertical Angles :2x+5=55
6. Right Angle: 7x+8x=90
7. Supplementary Angles: 119+3x+7=180
8. vertical Angles: 3x=156
9. vertical angles: 8x-4=116
10. right angles: 3x+7+4x-1=90
why does nobody talk to circles?
Answers
why does nobody talk to circles? :3
Answer:
Is this a joke
Step-by-step explanation:
I don’t know the answer
Maybe it’s “Because there is no point”
What is the surface area of the cylinder with height 5 mi and radius 6 mi? Round your answer to the nearest thousandth.
Answers
Step-by-step explanation:
Given
h = 5 mi
r = 6 mi
Surface Area of Cylinder =
[tex]2\pi \: rh + 2\pi {r}^{2} \\ = 2\pi(6)(5) + 2\pi ({6}^{2}) \\ = 2\pi(30) + 2\pi(36) \\ = 60\pi + 72\pi \\ = 132\pi \\ = 414.690 {mi}^{2} (nearest \: thousandth)[/tex]
Answer: 414.69 m2
Step-by-step explanation:
Hello pleasee!!!!!!!!!!!!
Answers
Answer: go to I think it’s c but try a math solver to trust my answer
Step-by-step explanation:
Hope this helps
Sasha selected a random sample of bivariate data, with a sample size of 30, and calculated a slope of 3.6 for the sample slope of a regression model. Sasha constructed a 95 percent confidence interval to estimate the slope. Alex claims he can construct a confidence interval that is narrower by changing the sample size but keeping all other things the same. Which of the following sample sizes will make Alex's claim true?
A. 10
B. 15
C. 20
D. 25
E. 35
Answers
The sample size that will make the Alex's claim true is option E. 35.
What is Confidence Interval?Confidence interval in statistics is defined as the certain range of values that you estimate for the unknown parameter lies within.
This means that, if you do your experiment more than once and do resampling, then this is the percentage that the parameters falls within a range.
Sample size of Sasha = 30
She took a confidence interval of 95%.
Alex claims he can construct a confidence interval that is narrower by changing the sample size but keeping all other things the same.
The relation between the sample size and confidence interval is that when the size of sample increases, the confidence interval becomes narrower.
So if the Alex's claim has to be true, sample size must increase.
He can use sample size of 35.
Hence the correct option is E.
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Assume that in a given year the mean mathematics SAT score was 515, and the standard deviation was 116. A sample of 65 scores is chosen. Use the TI-84 Plus calculator. Part 1 of 5 (a) What is the probability that the sample mean score is less than 500
Answers
Answer:
His is a normal distribution question with a) x1 = 480 x2 = 520 P(480.0 < x < 520.0)=? This implies that P(480.0 < x < 520.0) = P(-2.4326 < z < 0.3475) = P(Z < 0.3475) - P(Z < -2.4326)
Step-by-step explanation:
A Sample Of 65 Scores Is Chosen. Use The TI-84 Plus Calculator. Part 1 Of 5 (a) What Is The Probability That The Sample Mean Score Is Less Than 5007
Which point graphed below has an x-coordinate that is less than 0 and a y-coordinate that is greater than 0?
O Point L
O Point M
O Point N
O Point o
Answers
solve for x using distributive property
2(x+7)=13
and
5(x-7)=17
Answers
Answer:
x= −1/2, x=52/5
Step-by-step explanation:
2(x+7)=13
(2)(x)+(2)(7)=13(Distribute)
2x+14−14=13−14
2x=−1
2x/2=−1/2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
5(x−7)=17
(5)(x)+(5)(−7)=17(Distribute)
5x+−35=17
5x−35=17
5x−35+35=17+35
5x=52
5x/5=52/5
evaluate the intergral2x(xsquared+3)exponent 4
Answers
Answer:
(x^2+3)^5/5 + C
Step-by-step explanation:
Here substitute u = x^2 + 3 , du/dx = 2x ---> dx= 1/2x du
Then: integral (u^4) du
Apply power rule: u^5/5
Then replace the substitution u=x^2+3 in u
= (x^2+3)^5/5 + C
Choose all the weights that are equal to 1 ton 200 pounds.
A.
35,000 ounces
B.
1,200 pounds
C.
2,200 pounds
D.
1,200 pounds 100 ounces
E.
1 ton 100 pounds 1,600 ounces
PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS ANSWER IF U DONT I WONT RATE BRAINLYEST IF U DONT U DUM
Answers
C and E i did it and got it right and Np
What is the area of the regular trapezoid below?
64 cn2,80cm2,240cm2,480cm2
Answers
Find the value of "x"
Answers
5/6 plus blank equals to 5/2
Answers
Answer:
5/6 + 5/3 = 5/2
Step-by-step explanation:
v=10 e=5
2v divided by e + 4
Answers
E=5 so 20 divided by 5=4
The answer of 2v/e is 4
A human resources manager selected a random sample of 200 workers who donate to charity. The following table shows the distribution of the 200 workers.
Count Type of worker Management Other white collar 96 50 S Blue collar 54
The manager conducts a goodness-of-fit test to determine whether the proportions of workers of these types are identical to the population proportions of workers donating to charity, which are 50 percent for management, 30 percent for other white-collar workers, and 20 percent for blue-collar workers. Which of the following statements must be true about the sample?
A. The expected number of blue-collar workers donating to charity is less than 30.
B. The expected number of management workers donating to charity is 100.
C. The expected numbers of other white collar and blue-collar workers donating to charity are the same.
D. The expected number of other white-collar workers donating to charity is 50
E. The combined expected numbers of other white collar and blue-collar workers donating to charity is greater than the expected number of management workers donating to charity.
Answers
Answer: B the expected # of management workers donating to charity is 100
Step-by-step explanation:
50% = management so, .50(200)=100
The difference between a blue-collar worker and a white-collar worker is Blue-collar workers are unskilled, manual laborers, and white-collar workers are professionals or semiprofessionals.
Thus the correct option is D.
What is a white-collar worker?White collar employees refer to individuals who work as a salaried employees in a professional workspace. They work on the managerial profile or executive profiles also clerical positions. This type of worker has a particular office setting in which they perform their task.
here, we have,
Blue collar employees refer to an individual who does not work on salaries instead they receive daily wages on the basis of the number of hours they spent. These refer to laborers or workers who do not have any qualifications or skills to perform the task.
Therefore, option D is appropriate.
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complete question:
What is the difference between a blue-collar worker and a white-collar worker? O White-collar workers must wear a shirt and tie to work, but blue-collar workers can dress casually. thing O White-collar workers keep their clothes clean during the course of the workday, and blue-collar workers do not. O Blue-collar workers have defined work clothes or protective attire, while white-collar workers wear white shirts. O Blue-collar workers are unskilled, manual laborers, and white-collar workers are professionals or semiprofessionals.
Which solid has one rectangular base and four lateral faces in the shape of triangles?
rectangular prism
rectangular pyramid
square pyramid
triangular prism
Answers
Answer:
the answer is B
Step-by-step explanation:
Answer:
Which solid has one rectangular base and four lateral faces in the shape of triangles? rectangular prismrectangular pyramidsquare pyramidtriangular prism
Step-by-step explanation:the answer is B
The library has allotted $480 for spring landscaping and has decided
to spend the money on flowering bushes. There is room to plant a total
of 36 bushes. Rose bushes cost $25 each and lavender bushes cost $5
each.
a. (2 PTS) Define your variables.
b. (3 PTS) Write an equation to represent the total number of bushes you
can purchase.
c. (3 PTS) Write an equation to represent the total cost of the bushes.
d. (3 PTS) How many of each type of bush should you purchase?
Answers
Answer:
a. x = roses
y= lavender
b. x + y=36
c. 25x + 5y = 480
d. 19 rose bushes and 1 lavender bush
ale.
2 Emily saw an anaconda snake at the zoo
that was 24 feet 6 inches long. Which
equation can Emily use to find L, the length
of the snake in inches only?
QL = (24 + 12) + 6
QL = (24 x 10) + 6
L = (24 + 6) + 12
L = (24 * 12) + 6
eset in
5
Answers
Answer:
L=(24*12) + 6
Step-by-step explanation:
24 feet by 12 since each foot is 12 inches after that you'll need to add the rest of the inches you've already measured which is why you add 6
I need to find the area, I just need to show my work any answers can help.
Answers
area of semicircle: 1/2 (3.14r^2)
radius is half of diameter so it would be 7.5
1/2 (3.14(7.5)^2)
=1/2 (176.71)
=88.355
rounded is 88.4
Roberta had money in his savings account. She spent $65 of it on a new pair of shoes. She has $78 left. How much money did she have in her savings before she bought the shoes?
Answers
Answer:
$ 143
Step-by-step explanation:
she had $ x before she spent the money
x - 65 = $ 78
x = $ 143