Answers
Answer:
[tex]q=31.7\\p=28.4[/tex]
Doing all calculations with 3 significant figures.
Step-by-step explanation:
First, we'll obtain the value of 'q', this by realizing how the two angles together form a right triangle with inner angles of 30, 60, 90.
Furthermore, the opposite side of the angle of 30 is 'q' and its adjacent is given as 55. Hence, we can solve for 'q' using tangent as follows:
[tex]tan(30)=\frac{q}{55} =.577[/tex]
We solve for 'q':
[tex]q=.577*55=31.7[/tex]
Now to solve for 'p', we first will calculate what '55-p' is equal to.
First, we realize '55-p' corresponds to the adjacent side to the angle of 50 inside the small right triangle (the one with inner angles of 50, 40, 90) and q (which we now know is 31.7) correspond to the opposite side. Hence, we again use tangent as follows:
[tex]tan(50)=\frac{q}{55-p} =\frac{31.7}{55-p} =1.19[/tex]
We solve for 'p':
[tex]1.19(55-p)=31.7\\65.5-1.19p=31.7\\1.19p=33.8\\p=\frac{33.8}{1.19}=28.4[/tex]
Related Questions
Help me ! This is due today
Answers
Answer:
y = 1/4 x + 1
The slope is 1/4, and the y intercept is 1.
Let me know if this helps!
Lines that appear to be tangent are tangent. O is the center of the circle. What is the value of x?
Answers
Answer:
28
Step-by-step explanation:
Neat Question.
Thanks for posting.
The straign line (horizontal) makes an isosceles triangle inside the circle. So the bottom angle of the triangle is also 59 degrees. The central angle of the interior triangle is
180 - 59 - 59 = 62.
x and the 62 degree angle are complementary -- both are in the 90 degree angle triangle made by the tangent. x + 62 = 90
x = 90 - 62 = 28
Answer:
x = 28°
Step-by-step explanation:
PQ is tangent to circle O, ∠OPQ = 90°
∠QPR = 90-59 = 31°
mOP = mOR (radius) ∠PRO = ∠OPR = 59° (isosceles triangle)
∠PRO = ∠QPR + x° (triangle exterior angle)
x = 59° - 31° = 28°
look at the picture for the question 10 points will mark brainilest
Answers
Answer:
you want to have an answer to the question do you, i wish i could help but im only here for my answers
Step-by-step explanation:
sorry
Answer:
B
Step-by-step explanation:
accidentally commented
The length of a side of a cube can be determinad
by finding the cube root of its volume. If a cube has
a volume of 64 cm3 what s the length of a side?
A 40 cm
B. 80 cm
C. 16.0 cm
D. 32.0 cm
Answers
Answer:
4 cm
which is none of the listed answers
Step-by-step explanation:
∛64 = 4
proof:
4x4x4 = 64
What is the area of a rectangle with the measurement of the length of 12 and width of 6
Answers
Answer:
72 units^2
Step-by-step explanation:
determine the supplement of 50 degree
please help me please i really need help please
Answers
Answer:
Step-by-step explanation:
The supplement of 50° is the angle that when added to 50° forms a straight angle (180° ).
A researcher reports that 80% of high school seniors would pass a driving test, but only 45% of high school freshmen would pass the same driving test. Assume that the researcher’s claim is true. Suppose a driving test is given to a random sample of 90 high school seniors and a separate random sample of 85 high school freshmen. Let and be the sample proportions of seniors and freshmen, respectively, who pass the test. What are the shape and mean of the sampling distribution of ? skewed left with mean –0.35 skewed right with mean 0.625 exactly Normal with mean 0.35 approximately Normal with mean 0.35 approximately Normal with mean 0.625
Answers
Answer:
approximately Normal with mean 0.35
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
A researcher reports that 80% of high school seniors would pass a driving test, but only 45% of high school freshmen would pass the same driving test.
This means that [tex]p_1 = 0.8, p_2 = 0.45[/tex]
Subtraction of Variable 1 by Variable 2:
By the Central Limit Theorem, the shape will be approximately normal.
The mean is the subtraction of the means of each proportion. So
[tex]p = p_1 - p_2 = 0.8 - 0.45 = 0.35[/tex]
So the correct answer is given by:
approximately Normal with mean 0.35
(10 POINTS) answer ASAP if you can
Answers
okay i only have 40 points left and i cant figure out my goformative that my teacher put up if i can get one of yalls discord or anything to were you can help me please do
Answers
Answer:
add me keegan#0839
Step-by-step explanation:
The distance in New York is 3 hours ahead of the distance in LA. The miles between the cities is 7,120. A plane left New York at 6:25a.m. and arrived at 8:25a.m. local time. At what speed did the plane travel?
Answers
Frisco ISD had a student enrollment of approximately 46,000 students in 2013 and is growing at an average rate of about 6% annually. If this rate continues the enrollment growth can be modeled using the equation 46000(1.06)t = y where t represents time in years and y represents number students. How many years will pass until the population of Frisco ISD is at 100,000 students? ≈ 13.33 years ≈ 85.91 years ≈ 5.62 years ≈ 2.05 years
Answers
Answer:
≈ 13.33 years
Step-by-step explanation:
The population of Frisco ISD after t years is given by the following equation:
[tex]y(t) = 46000(1.06)^{t}[/tex]
How many years will pass until the population of Frisco ISD is at 100,000 students?
This is t for which [tex]y(t) = 100000[/tex]. So
[tex]y(t) = 46000(1.06)^{t}[/tex]
[tex]46000(1.06)^{t} = 100000[/tex]
[tex](1.06)^{t} = \frac{100000}{46000}[/tex]
[tex]\log{(1.06)^{t}} = \log{\frac{100000}{46000}}[/tex]
[tex]t\log{1.06} = \log{\frac{100000}{46000}}[/tex]
[tex]t = \frac{\log{\frac{100000}{46000}}}{\log{1.06}}[/tex]
[tex]t = 13.33[/tex]
So the answer is ≈ 13.33 years
An independent research firm conducted a study of 100 randomly selected children who were participating in a program advertised to improve mathematics skills. The results showed no statistically significant improvement in mathematical skills, using a significance level of 0.05. The program is effective, which of the following would be an appropriate method for increasing power in this context?
a. Increase the sample size to 200 children.
b. Use a two-sided test instead of a one sided test.
c. Decrease the sample size.
d. Use alpha-0.01 instead of a-alpha.
e. Use a one sided test instead of a two-sided test.
Answers
Answer:
b) use a two-sided test instead of a one sided test.
Step-by-step explanation:
If we are using a significance level of 0.05, then the two-tailed test assigns half alpha to test for statistical significance in one direction and half alpha to test statistical significance in the other direction. This implies that .025 is present in each tail of the test statistical distribution. When using the two-tailed test, regardless of the direction of the relationship you assume, we test the possibility of the relationship in both directions.
Mrs. Jones is 4 times as old as her son. The sum of their ages is 50 years. How old was Mrs. Jones when her son was born?
Answers
Answer:
30
Step-by-step explanation:
is mrs. jones is 40, her son is 10, sum = 50.
ten years before son was 0, mrs. jones was 30
A party rental company has chairs and tables for rent. The total cost to rent 5 chairs and 3 tables is $31.the total cost to rent 2 chairs and 6 tables is $22.what is the cost to rent each chairs and each table?
Answers
Answer:
$1.25 & $10.25
Step-by-step explanation:
Let c be the cost of renting one chair and t be the cost of renting table. We're given two equations:
#1. 5c + 3t = 37
#2. 2c + 6t =64
We have a system of equations. Using our system of equations calculator, we can solve this problem any of 3 ways below:
Chairs (c) cost $1.25Tables (t) cost $10.25find the measure of each given angle
Answers
9514 1404 393
Answer:
∠2 = 19°
Step-by-step explanation:
Angles that are equal to 161° are vertical and corresponding angles: 1, 4, 5.
Angles that are equal to the supplement of 161° are the remaining angles: 2, 3, 6, 7.
Angle 2 is the supplement of 161°:
∠2 = 180° -161°
∠2 = 19°
ILL GIVE BRAINLIEST TO WHO EVER CAN ANSWER MY LAST QUESTION
Answers
Which of these is an exponential parent function?
A. f(x) = x
B. f(x) = x
C. f(x) = 2x
D. f(x) = 1x1
SMIT
Answers
Option B is correct, f(x) = 2ˣ is an exponential parent function.
What is a function?A relation is a function if it has only One y-value for each x-value.
The exponential parent function is of the form:
f(x) = aˣ
where a is a positive constant (the base of the exponential function).
Among the given options, the exponential parent function is,
⇒ f(x) = 2ˣ,
Because it has the form of an exponential function, where the base is 2.
f(x) = x is a linear function, not an exponential function.
f(x) = |x| is an absolute value function, not an exponential function.
f(x) = x² is a quadratic function, not an exponential function.
Hence, f(x) = 2ˣ is an exponential parent function, Option B is correct.
To learn more on Functions click:
brainly.com/question/30721594
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what is the answer of this 10+6=8+
Answers
Answer:
8
Step-by-step explanation:
I hope this helps you out with your question! Can you plz consider marking me brainliest and thanks! Plz tell me how the answer was! It feel nice to be appreciated! Comment /free for a giveaway entry of 20 thanks and 2 brainliest. Have an awesome day! Let me know if you have any questions! -KaraYeaton18
Answer:
8
Step-by-step explanation:
10+6=18; 8+8=16
In the ordered pair of numbers (-2,8) the number - 2 is called the
and the number 8 is called the
Answers
Answer:
x co-ordinate and y co-ordinate
GIVING BRAINIEST!!!!!!!!!!!! 3 times the difference of 4g and 4 is less than -6 times the sum of -3g and 4!
Answers
Answer:
3(4g-4)<-6(-3g+4)
Triangle Theorems please!!!!!!
Answers
Answer:
x = 8
Step-by-step explanation:
18. Let f(x) = ax? + bx-6 and 0 (x) = bx2 + ax.
If x-2 divides f(x) completely but leaves
the remainder -12 when it divides $(x),
then factorise f (x) + 0 (x) + 2x2.
Answers
Step-by-step explanation:
the number of members in A municipal corporation depends upon the _______ city
Need help on this question
Answers
Write each absolute value in a box to show the order from least to greatest.
|11| |–8| |–2| |5| |–12|
Answers
Answer:
|–2| |5| |–8| |11| |–12|
Answer:
|-2|,|5|,|-8|,|11|,|-12|
Step-by-step explanation:
This is the order because |-2| in absolute value is positive 2 and |11| in absolute value is still positive because you don't change the sign unless the ll was negative in absolute value.
Find the area. Simplify your answer.
x+8
x+7
Answers
Answer:
x² 15
Step-by-step explanation:
I'm not 100% sure.. sorry if I'm wrong..
What is m Angle Q B O? 5° 9° 12° 24°
Answers
Answer:
12
Step-by-step explanation:
Can you help me please here is the image
Answers
Answer: D all of the above
Step-by-step explanation:
A. you can see that the majoritie of the area is dessort becuase of the long expance of lack of vegitation and water
B. Because there is no other water sourses the cities would have to be along water
C. Along the nile river is vegitation
D. Must be D.
27. The traffic officer issued violation tickets to traffic
violators. If 68 of them composed 80% of the total
violators, how many violators are there in all?
A. 83
B. 84
C. 85
D. 86
28. There are 18 roses in a bunch of 24 flowers.
What percent of the flowers are roses?
A. 18%
B. 24% C. 60% D. 75%
29. A number is 20% of 50. What percent it is to
200?
A. 5%
B. 10% C.15% D. 20%
Please help
I really need it I'm gonna give u Brainliest
Answers
Answer:
27. C
28. D
29. A
Convert: 112 meters =______________________
centimeters
Answers
Answer: m cm
112.00 11,200
Step-by-step explanation:
Question 6 of 25
Today Charlie put a ring on layaway by making a down payment of $85 and
agreeing to pay $18 per month, starting next month, for 21 months. When will
Charlie receive the ring?
O A. In 21 months
O B. In 1 month
O C. Today
OD. In 18 months
Answers
Charlie will receive the ring in 21 months.
What does layaway mean?It is a method of buying something in which a person can make a downpayment to buy something at a store and the store holds the item on their behalf until the last payment is done after which they gain possession of it.
Charlie has put in a ring on layaway. This means that he will only receive the ring in 21 months after he has finished paying all the installments. He will not gain possession of the ring right away after making the downpayment of $85.
Thus, we have found that Charlie will receive the ring in 21 months. The correct answer is option A.
Learn more about layaway here: https://brainly.com/question/4428781
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