Answer is 105 degrees.
Explanation:
Given two parallel lines AB and CD and a transversal cutting the two lines.
We know that when a transversal cuts two parallel line,
i) corresponding angles would be equal
ii) Interior angles total to 180
iii) alternate angles are equal.
In the picture given we have corresponding angles as
(2,6) . Hence angle 2 = angle 6.
Angle 6 = 75 (given)
Hence angle 2 =75.
Angles 1 and 2 are supplementary because they form a linear pair.
Hence angle 1 = 180-75
Angle 1 =105
Trigonometric ratio
adjacent= 12 cm
angle= 22°
find the opposite side by using tan.
The opposite side of the right angle triangle by using Tan.
Solution:[tex]tan \: 22 = \frac{x}{12} [/tex]
[tex]x = 12 \times tan \: 22[/tex]
[tex]x = 4.8 \: cm[/tex]
Therefore, the opposite side of the right angle triangle is 4.8 centimeters
x/12
x= 12*tan 22
x= 4.8 cm
hope this helps
Question 13 of 17
Which values of x would make a polynomial equal to zero if
the factors of the polynomial were (x+4) and (x+8)?
Answer:
-4 and -8
Step-by-step explanation:
(x+4)(x+8) = 0
x+4 = 0 or x +8 = 0
x = -4 or x = -8
Which is the equation of a trend line that passes through the points (7, 450) and (14, 401)? y = negative 7 x 499 y = negative startfraction 1 over 7 endfraction x 451 y = startfraction 1 over 7 endfraction x 449 y = 7 x 401
The equation of the line that passes through the points (7, 450) and (14, 401) is y + 7x = 499
How to find equation of a line?The equation of a line can be represented as follows:
y - y₁ = m(x - x₁)
where
m = slopeTherefore, (7, 450)(14, 401)
m = 401 - 450 / 14 - 7 = -49 / 7 = -7
Therefore, using (7, 450)
y - 450 = -7(x - 7)
y - 450 = -7x + 49
y + 7x = 49 + 450
y + 7x = 499
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4. At a local print shop, 25 copies cost $1.50. At this rate, how much would 60 copies cost?
Answer:
60 copies would cost 3.60
Step-by-step explanation:
The function[tex]f(x)=-11sin (\frac{7}{3}x+\frac{1}{6}) - 2[/tex] models the average rate of change in temperature of a substance monitored in an experiment. In the function, x represents the number of minutes since the commencement of the experiment and the temperature of the substance is measured in degrees Fahrenheit.
Over what range of temperatures does the average rate of change in temperature fall?
Range of temperatures does the average rate of change in temperature fall -13F and 9 F
What is formula for Fahrenheit?The Fahrenheit temperature scale is used in the United States; the Celsius, or centigrade, scale is employed in most other countries and for scientific purposes worldwide. The conversion formula for a temperature that is expressed on the Celsius (°C) scale to its Fahrenheit (°F) representation is: °F = (9/5 × °C) + 32.
Given function:
f(x)= -11 sin(7/3 x+ 1/6) -2
The function will be maximum at
7/3 x +1/6= 3π/2
So, the maximum temperature will be
= -11 sin (3π/2) -2
= 11 -2
=9 F
The function will be minimum at
7/3 x +1/6= π/2
So, the maximum temperature will be
= -11 sin (π/2) -2
= -11 -2
= -13 F
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one lap around a dirt track is 1 /3 of a mile. It takes Bryce 1/9 of an hour to ride one lap.
Answer:
3 miles/hour.
Step-by-step explanation:
If the question is what is Bryce's average speed over the lap it is:
Distance / time
1/3 / 1/9
= 1/3 * 9
= 9/3
= 3 miles/hour.
-7-3 log₂ (-n + 10) = -16
Answer:
2
Step-by-step explanation:
-3 log₂ (-n + 10) = -16+7
-3 log₂ (-n + 10) = -9
log₂ (-n + 10) = -9/-3
log₂ (-n + 10) = 3
-n + 10 = 2^3
-n + 10 = 8
n=2
help me pleeeeeeease
[tex]P = l + l + b + b[/tex]
[tex]P = 2(2a + 3) + 2(8a - 12)[/tex]
[tex]\boxed{\sf{P=20a-18}}[/tex]
Question 2:[tex]P = 20(3) - 18[/tex]
[tex]P = 60 - 18[/tex]
[tex]\boxed{\sf{P = 42 cm}}[/tex]
Question 3:[tex]P = (3b + 7) + (7b - 2) + (7b - 2)[/tex][tex]\boxed{\sf{P = 17b+3}}[/tex]
Question 4:[tex]P = 17(6) + 3[/tex]
[tex]P = 102 + 3[/tex]
[tex]\boxed{\sf{P = 105 \: m}}[/tex]
Cube Root Values
What two whole numbers does 81 lie between
Answer:
between 4 and 5
Step-by-step explanation:
consider perfect cubes either side of 81 , that is
64 < 81 < 125 , then
[tex]\sqrt[3]{64}[/tex] < [tex]\sqrt[3]{81}[/tex] < [tex]\sqrt[3]{125}[/tex] , that is
4 < [tex]\sqrt[3]{81}[/tex] < 5
You collect a random sample of size n from a population and calculate a 95% confidence
with an increased margin of error?
O Use a 98% confidence level.
O Use a 90% confidence level.
O increase the sample size.
O Use the same confidence level, but compute the interval n times. Approximately 5% 0
© Nothing can guarantee that you will obtain a larger margin of error. You can only say
In a recent telephone survey, 5,000 randomly selected teenagers were asked to cite their primary social network site. Six of 10 teenagers said they use Mybook as
their primary social network site. A 95% confidence interval to estimate the true proportion of teenagers who use Mybook as their primary social network site is found to
be (0.2964, 0.9036). Which of the following is a correct interpretation of the confidence level?
O Ninety-five percent of all samples of this size would yield a confidence interval of (0.2964, 0.9036).
O There is a 95% chance that the true proportion of teenagers who use Mybook as their primary social network site is in the interval (0.2964, 0.9036).
O Ninety-five percent of the time, the procedure used to generate this interval will capture the true proportion of teenagers who use Mybook as their primary
social network site
O Ninety-five percent of all the samples of size 5,000 lie in the confidence interval (0.2964, 0.9036).
O There is a 95% chance that randomly selected teenagers will be part of the 60% who use Mybook as their primary social network site.
(05.04 MC)
Leon wants to estimate the proportion of the seniors at his high school who like to watch football. He interviews a simple random sample of 50 of the 200 seniors on
campus. He finds that 32 like to watch football. Is the random condition for finding confidence intervals met? Explain.
O Yes, the random condition for finding confidence intervals is met because np = 32 and n(1 - P) = 18, both of which are greater than 10
O Yes, the random condition for finding confidence intervals is met because the sample size is greater than 30.
O No, the random condition for finding confidence intervals is not met because np = 32 and n(1 - p) = 18, both of which are less than 100
O No, the random condition for finding confidence intervals is not met because the sample is not at least 50% of the population
O Yes, the random condition for finding confidence intervals is met because the sample is a simple random sample.
Cilantro tastes like soap to some people. This soap taste is inherited through the olfactory receptor gene OR6A2. About 14% of the population has this gene. You wa
to estimate the proportion of Americans who have this gene. How large a sample must you test, with a 3% margin of error and 95% confidence, to estimate the
proportion of people who carry the OR6A2 gene?
O 514 people
O 134 people
O 17.689 people
O 35 people
01.028 people
The faculty members at McAdenville High School want to determine whether there are enough students to have a Winter Formal. Sixty-three of the 150 students
surveyed said they would attend the Winter Formal. Construct and interpret a 99% confidence interval for p.
O The 99% confidence interval is (0.3162, 0.5238). We are 99% confident the true proportion of students attending the Winter Formal is between 31 62% and
52.38%.
© The 99% confidence interval is (0.3162, 0.5238). There is a 99% chance that a randomly selected student who will attend the Winter Formal lies between
31.62% and 52.38%
O The 99% confidence interval is (0.3162, 0.5238). Ninety-nine percent of all samples of this size will yield a confidence interval of (0.3162, 0.5238).
O The 99% confidence interval is (0.4762, 0.6838). We are 99% confident that the true proportion of students attending the Winter Formal is between 47 62%
and 68.38%
O The 99% confidence interval is (0. 4762, 0.6838). Ninety-nine percent of all samples of this size will yield a confidence interval of (0.4762, 0.6838)
PLEASE HELP ASAP, please don’t waste my time if you don’t know what your talking about THANK YOU GUYSSS
A strategy which would produce a new confidence interval with an increased margin of error is to: A. use a 98% confidence level.
What is a confidence interval?A confidence interval simply refers to a range of estimated values which defines the probability that a population parameter will lie within it.
How to calculate the margin of error?Mathematically, a margin of error is calculated by using this formula:
[tex]MOE_{\gamma}=Z_{\gamma} \times \sqrt{\frac{\sigma^2}{n} }[/tex]
From the above formula, we can deduce that the margin of error is directly proportional to the critical value and inversely proportional to the square root of sample size.
This ultimately implies that, increasing the confidence level from 95% to 98% would increase the critical value and by extension the margin of error and vice-versa.
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96x 3+(9*8) ÷ 126,980 =?
Answer:
288.000567018 or [tex]3(32x^{3} +\frac{3.8}{126980})[/tex]
Step-by-step explanation:
hope this helps
pls mark brainliest
help help help help help
Answer:
mPS = 80°
Step-by-step explanation:
angles on a circle subtended by the same arc are congruent
∠ PQS and ∠ PRS are both subtended by arc PS , then
10 + 3x = 110 - 7x ( add 7x to both sides )
10 + 10x = 110 ( subtract 10 from both sides )
10x = 100 ( divide both sides by 10 )
x = 10
then
∠ PQS = 110 - 7x = 110 - 7(10) = 110 - 70 = 40°
the inscribed angle PQS is half the measure of its intercepted arc PS , then
PS = 2 × 40° = 80°
suppose that there is a circular race track. Joseph takes 25 minutes to finish it and Owuor takes 35 minutes
to finish it. If both of them start running from the same point at the same time in the same direction, after
how many minutes will they meet for the first time on the starting point?
Answer:
They will cross the finish line together in 175 minutes.
Step-by-step explanation:
This question asks you to consider the 25 and 35 times table.
I listed the 25 and 35 times tables and tried to find the lowest common multiple.
You can see that on Josephs' 7th lap of the track he will cross the line simulatneously with Owuor who will be on his 5th lap. So the answer should be 175 minutes.
25 × 1 = 25 35 × 1 = 35
25 × 2 = 50 35 × 2 = 70
25 × 3 = 75 35 × 3 = 105
25 × 4 = 100 35 × 4 = 140
25 × 5 = 125 35 × 5 = 175
25 × 6 = 150 35 × 6 = 210
25 × 7 = 175
25 × 8 = 200
How do I look at the recently posted questions? i'm lost and I want to answer some questions but I forgot how to go to the section. Send help please.
There should be q icon that says give answer, to find new questions in that section refresh the page
Which expression is equivalent to -15-(-8)
Answer:
the answer is 15-8
I hope this helps you
Answer:
-15+8
Step-by-step explanation:
2. f(x)=4x+1 and g(x)=x2−4x−5, find (g◦f)(4).
Answer:
(g · f)(4) = 45
Step-by-step explanation:
f(x)=4x+1
g(x)=x² - 4x- 5
(g · f)(x) = 4(x² - 5) + 1
(g · f)(4) = 4(4² - 5) + 1
Following pemdas
(g · f)(4) = 4(16 - 5) + 1
(g · f)(4) = 4(11) + 1
(g · f)(4) = 44 + 1
(g · f)(4) = 45
A rice field in the shape of a parallelogram is 300 m long. The perpendicular distance between the base and its opposite side is 7. What is asked for in the problem? 120 m. What is its area? 8. What facts are given? 9. What is the formula to solve the problem? 10. What is the complete answer?
Question : A rice field in the shape of a parallelogram is 300 m long. The perpendicular distance between the base and its opposite side is 120m . Find area .
Answer36000 sq. m
SolutionGiven :
parallelogram is 300 m long and distance between base and its opposite side is 120m* .
Length = 300 m
Perpendicular height = 120 m
Formula used :Area of parallelogram = Length × Perpendicular height.
=> 300 × 120
=> 36000 sq. m
_____________Parallelogram is a type of quadrilateral whose opposite sides are equal .is 2.06532 rational or irrational?
Answer:
irrational
Step-by-step explanation:
irrational because it has decimals at the end.
Since we can write the given decimal number into fractional form therefore it is a rational number.
Use the concept of decimals defined as:
Every digit in a number has a place value in mathematics. The value a digit in a number represents based on where it is in the number is known as place value.
The given number is:
2.06532
The number 2.06532 is rational because it can be expressed as a fraction of two integers.
In this case,
It can be written as the fraction 206532/100000.
Hence,
The given number is a rational number.
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Calculate the volume of the figure below.
Answer:
4080 cm³
Step-by-step explanation:
Figure is of a cuboid
Given length (l) = 30cm
breadth (b) = 17cm
height (h) = 8cm
Volume of cuboid = l.b.h
= 30 × 17 × 8
= 4080 cm³
1
Select the correct answer.
Which function defines (f + g)(),
f(t) = ln(2x) – 15
g(x) = 3 sin(I) – 7
=
OA. (f + 9) () = ln(2x) + 3 sin(x) + 22
3a )
OB
B. (f + g)() = ln(2x) + sin(o) – 66
OC. (f + 3)(0) = ln(2x) + 3 sin(a) – 22
(
In
D. ( + g)(x) = ln(2x) – 3 sin(x) = 8
Reset
Next
The addition of the functions f(x) and g(x) will be ln (2x) + 3 sin(x) – 22. Then the correct option is C.
What is a function?A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.
The functions are given below.
f(x) = ln (2x) – 15
g(x) = 3 sin(x) – 7
Then the addition of the function will be
(f + g)(x) = f(x) + g(x)
(f + g)(x) = ln (2x) – 15 + 3 sin(x) – 7
(f + g)(x) = ln (2x) + 3 sin(x) – 22
Then the correct option is C.
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Answer:
See photo
Step-by-step explanation:
Plato/Edmentum
Please awnser last question if correct we can do thisss
Answer:
B = (8,2)
C = (8,9)
D = (5,4)
Step-by-step explanation:
Hope this helps!
Answer:
Point B: (-8,2) Point C: (-8,9) Point D: (-5,4)
Step-by-step explanation:
Since you are reflecting over the y-axis, the numbers in the coordinates will be the same but they will all have a negative "x" value instead of both numbers in the coordinate being positive.
Point B: (8,2) --> (-8,2)
Point C: (8,9) --> (-8,9)
Point D: (5,4) --> (-5,4)
Drag numbers to the table so it shows a proportional relationship between x and y.
PLEASE HELP
Answer:
4 box: 9
5 box:4.5
6 box: 27
Step-by-step explanation:
Do 3/.5= 6 so multiply the numbers by 6
1.5•6=9
4.5•6=27
Hope this helps! ;-)
A point is plotted on the number line at 4 3/5 . A second point is plotted at −3 3/4 .
What is the length of a line segment joining these points?
Enter your answer as a simplified mixed number in the box.
Answer:
8 7/20
Step-by-step explanation:
Converting both numbers to improper fractions :
4 3/5
⇒ (4 x 5/5) + 3/5
⇒ 20/5 + 3/5
⇒ 23/5
-3 3/4
⇒ - (3 x 4/4 + 3/4)
⇒ - (12/4 + 3/4)
⇒ -15/4
Take the LCM as 20 and convert :
23/5
⇒ 23/5 x 4/4
⇒ 92/20
-15/4
⇒ -15/4 x 5/5
⇒ -75/20
Now find the difference :
⇒ 92/20 - (-75/20)
⇒ 92/20 + 75/20
⇒ 92 + 75 / 20
⇒ 167/20
Now convert into a mixed number :
⇒ 167/20
⇒ 8 7/20
Find the difference
4-3/5-(-3-3/4)23/5+15/44(23)+5(15)/2092+75/20167/208-7/20Guests at a wedding have an appetizer
choice of soup or a salad, an entrée choice
of chicken, steak, or vegetarian, then a
dessert choice of vanilla or chocolate cake.
How many different meals are possible?
3421880 number of the different meals are possible.
What is the combination?The arrangement of the different things or numbers in the number of the ways is called as the combination.
It is given that:-
Number of appetizers is 7, the number of entres is 10, and that there's 4 choices of desserts.
So let's take each course by itself. You can choose 1 of 7 appetizers. So we have n = 7 After that, you chose an entre,
so the number of possible meals to this point is
n = 7 x 10 = 70
Finally, you finish off with a dessert, so the number of meals is:
n = 70 x 4 = 280
Therefore the number of possible meals you can have is 280. Note: If the values of 77, 1010 and 44 aren't errors, but are actually correct, then the number of meals is
n = 77 x 1010 x 44 = 3421880
Therefore 3421880 different meals are possible.
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In the figure below, \overline{AC}
AC
start overline, A, C, end overline and \overline{BD}
BD
start overline, B, D, end overline are diameters of circle PPP.
What is the arc measure of minor arc \stackrel{\large{\frown}}{BC}
BC
⌢
B, C, start superscript, \frown, end superscript in degrees?
The measure of minor arc BC is equal to ∠BPC which is 147 degrees.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
From the diagram:
4k + 159 = 2k + 153 (vertical opposite angles are equal)
4k + 159 = 2k + 153
k = -3
Arc Bc = 4k + 159 = 4(-3) + 159 = 147
The measure of minor arc BC is equal to ∠BPC which is 147 degrees.
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Answer: 147 :)
Step-by-step explanation:
khan academy
[tex]x \6 - 1 = x \4 + 1 \2[/tex]
answer. the question pls pls pls pls
Answer:
-18
Step-by-step explanation:
Hope it helps....................................................
This diagram shows the plan for a wooden deck. The scale dimensions of the deck are shown.
If the scale used in the diagram is 1/4 = 1ft.
what is the perimeter of the actual deck?
36 ft
48 ft
12 ft
3 ft
The probability of spinning am even number is 40%. What is the probability of not spinning an even number, written as a decimal
Answer:
That would be 0.6 that means 60 percent.
Answer:
Probability of not spinning an even number is 0.6
Step-by-step explanation:
Total probability is 100 since it represented by %.
Therefore if 40% is the probability of spinning an even number then that of not spinning an even number is simply
100% - 40% = 60%
Expressing 60% as a decimal gives us 0.6
Which of the following can represent the three angles in an obtuse, scalene triangle?
-50, 30, 100
-40, 50, 90
-30, 30, 120
-50, 50, 80
Answer:
30, 30, 120
Step-by-step explanation:
Answer:
•50, 30, 100
Step-by-step explanation:
One side (100) is much bigger than the rest (over 90), and the other two are not alike or the same, making it scalene.
Hank has 6 black pens, 4 red pens, and 14 pencils in his desk drawer.
If he reaches into his desk drawer and randomly selects something to write with, what is the probability that he will grab a pen?