Answers
The measure of the angles are:
x = 70°
y = 140°
We have,
In ΔPQR,
PQ and PR are equal.
This means,
The opposite angles are equal.
So,
∠Q = ∠R = X
And,
∠Q + ∠R + ∠P = 180
x + x + 40 = 180
2x = 180 - 40
2x = 140
x = 70
Now,
∠R = 70
This means,
In ΔRST,
∠R = 180 - 70 = 110
∠S = 30
And,
∠T + ∠R + ∠S = 180
∠T = 180 - 110 - 30
∠T = 180 - 140 = 40
Now,
y + ∠T = 180
y = 180 - 40
y = 140
Thus,
The measure of the angles are:
x = 70°
y = 140°
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Related Questions
Write a possible equation for a cosine function that has a maximum point at (1, 11) and a minimum point at (8, 3).
Answers
M = A + |B| is the function's highest possible value. When sin or cos x equals 1, this maximum value is reached. m = A |B| is the function's lowest possible value. If either cos x or sin x is equal to 1, this minimum will be reached.
How do you find the maximum and minimum of a cosine function?The sine and cosine functions are graphed; to find the values of the sine and cosine functions for a variety of various degrees of angles, use a calculator, computer, or a collection of trigonometry tables (or radian).Because the sine and cosine functions have periods of 2, the patterns are continually repeated to the left and right.The sine and cosine functions can have a number of additional terms and factors added to them, changing how they look.The graph of the sine functions can be vertically shifted by adding the extra term A to the equation y = A + sin x. The sine function can have different amplitudes because to the additional element B in the equation y = B sin x. The graph's highest and minimum values, or one half of those values, make up the amplitude, or | B |, which is the maximum deviation from the x-axis. Both y = A + B sin x and y = A + B cos x are produced by combining these values. The minimum and maximum values for these two functions are specified by the following formulas. M = A + |B| is the function's highest possible value. When sin or cos x equals 1, this maximum value is reached. m = A |B| is the function's lowest possible value.If either cos x or sin x is equal to 1, this minimum will be reached.Example :
Draw the y = 1 + 2 sin x function on a graph. Which values represent the function's maximum and minimum?1 + 2 = 3 is the highest possible value. 1 + 2 = 1 is the minimum value.To Learn more About sin or cos refer To:
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the director of research and development is testing a new medicine. she wants to know if there is evidence at the 0.02 0.02 level that the medicine relieves pain in more than 390 390 seconds. for a sample of 75 75 patients, the mean time in which the medicine relieved pain was 398 398 seconds. assume the population variance is known to be 576 576 . find the p-value of the test statistic. round your answer to four decimal places.
Answers
The p-value of the test statistic is 0.5520
The director of research and development is testing the medicine to see if there is evidence that it relieves pain in more than 390 seconds. To do this, they took a sample of 75 patients, and found that the mean time for the medicine to relieve pain was 398 seconds, with a population variance of 576. The test statistic in this case is the p-value, which can be found using the formula for the Z-score, which is:
Z = (398 - 390) / (√576/75)
Plugging in the numbers, we get:
Z = (398 - 390) / (24/75) = 0.167
Using a Z-table, the p-value of the test statistic is 0.5520. Thus, the p-value of the test statistic is 0.5520, rounded to four decimal places.
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I need help with these 2 problems, my teacher would like fractions to help explain how I got it... Example (56/100=45/64) =) Thank you in advance!!
Answers
We operate as follows:
**First problem:
*We divide the total number of messes by the value of the sum of the ratio.
391 / (14 + 9) = 17
After that, we multiply this value times the ration for the Gooey messes and we will obtain the number of Gooey messes present in the 391 messes:
17 * 14 = 238
So, we can expect 238 Gooey messes.
**Second problem:
*We have 174 purple yogi berries; we will have to calculate the number of berries that represent the 76% if we want to know how many are not purple. We also have the following ration 24:76 here there are 24 purple yogi berries to 76, not purple yogi berries, now we calculate:
\(\frac{24}{76}=\frac{174}{NP}\Rightarrow NP=\frac{174\cdot76}{24}\Rightarrow NP=551\)So, we would expect 551, not purple yogi berries.
suppose a is a semisimple c-algebra of dimension 8. (a) [3 points] if a is the group algebra of a group, what are the possible artin-wedderburn decomposition for a?
Answers
The possible Artin-Wedderburn decomposition for a semisimple C-algebra 'a' of dimension 8, if 'a' is the group algebra of a group, is a direct sum of matrix algebras over the complex numbers: a ≅ M_n1(C) ⊕ M_n2(C) ⊕ ... ⊕ M_nk(C), where n1, n2, ..., nk are the dimensions of the simple components and their sum equals 8.
In this case, the possible Artin-Wedderburn decompositions are: a ≅ M_8(C), a ≅ M_4(C) ⊕ M_4(C), and a ≅ M_2(C) ⊕ M_2(C) ⊕ M_2(C) ⊕ M_2(C). Here, M_n(C) denotes the algebra of n x n complex matrices.
The decomposition depends on the structure of the group and the irreducible representations of the group over the complex numbers.
The direct sum of matrix algebras corresponds to the decomposition of 'a' into simple components, and each component is isomorphic to the algebra of complex matrices associated with a specific irreducible representation of the group.
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what is the least common factor of 8x^2, 6x, and 12x^3
Answers
Answer:
24 x^3
Step-by-step explanation:
H.E.L.P M.E P.LE.A.S.E
Answers
Answer:
9 square feet
Step-by-step explanation:
Formula was given
to simplify cvp calculations, it is assumed that blank______ will remain constant.
Answers
To simplify CVP calculations, it is assumed that blank volume will remain constant.
The blank volume is assumed to remain constant in CVP (Cost-Volume-Profit) calculations. The reason for this assumption is that the blank volume represents the fixed costs of production that do not vary with changes in the level of production or sales.
In CVP analysis, the contribution margin, or the difference between the unit selling price and variable cost per unit, is used to calculate the break-even point and target profit levels.
The assumption of constant blank volume simplifies these calculations and allows managers to focus on the variables that can be controlled, such as selling price, variable cost, and volume of production and sales.
However, it should be noted that in reality, the blank volume may not remain constant in the long run and may need to be adjusted to reflect changes in fixed costs or production processes.
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In an ideal transformer, use the relationship between primary and secondary emfs E1 and E2. and primary and secondary currents I1 and I2 to prove that primary power E1I1 is equal to the negative secondary power −E2I2. (2) Show that if the inductance is given as L=Niϕ, it can also be expressed as L=ℜN2.
Answers
The inductance L can be expressed as L = ℜN^2, which is an alternative representation of the inductance equation.
To prove that the primary power E1I1 is equal to the negative secondary power -E2I2 in an ideal transformer, we start by considering the relationship between the primary and secondary emfs and currents.
The primary emfs (E1) is related to the secondary emf (E2) by the turns ratio of the transformer, denoted as a. Therefore, we can write E2 = aE1.
Similarly, the primary current (I1) is related to the secondary current (I2) by the inverse of the turn ratio, which can be written as I2 = (1/a)I1.
Now, let's consider the power in the primary and secondary circuits. The power in the primary circuit is given by P1 = E1I1, and the power in the secondary circuit is given by P2 = E2I2.
Substituting the expressions for E2 and I2, we have P2 = (aE1)(1/a)I1, which simplifies to P2 = E1I1.
Therefore, we can conclude that the primary power E1I1 is equal to the negative secondary power -E2I2.
Regarding the expression of inductance, given as L = NiΦ, where N is the number of turns and Φ is the magnetic flux, we can further simplify it.
We know that the magnetic flux Φ is related to the current I by the inductance L, i.e., Φ = LI. Substituting this into the previous expression, we have L = NLI.
Since L is a scalar quantity, we can express it as L = ℜN^2, where ℜ is a constant that depends on the physical properties of the transformer.
Therefore, the inductance L can be expressed as L = ℜN^2, which is an alternative representation of the inductance equation.
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Teressa's Art and Nature students rented 10 aids for their Santa Monica Mountain Nature Hike. All the aids were Binoculars(B) and Mini Drones(D). Binoculars rent for $10 and Drones cost $24. The total cost for the rentals was $612.
A) write a unit equation for the number of visual arts?
B) write a money equation for the total amount?
c) solve for the number of Binoculars and Mini Drones?
D) How many hikers went on the trip if at least had a pair of Binoculars but 5 if them had both Binoculars and drones?
Answers
Aâ _______ is any event combining two or more simple events.
Answers
A compound event is any event combining two or more simple events.
How to complete the blanksFrom the question, we have the following parameters that can be used in our computation:
combining two or more simple events.
As a general rule
When two or more simple events are combined, the result is a compound event
An example is selecting 1 in a die and head in a coin
This means that the statement that completes the blank is compound event
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x - 0.1x = 54
Is x = 60 a solution
Answers
Answer:
yes
Step-by-step explanation:
60 - 0.1(60) = 54
60 - 6 = 54
54 = 54
Helen Mountain Tubing charges $25 for tube rental and $5 an hour to float down the river. Alpine Tubing charges $30 for tube rental and $2 an hour to float down the river. Create an equation to determine at what point the cost of both tubing companies is the same.
25x - 5 = 30x - 2
25x + 5 = 30x + 2
25 + 5x = 30 + 2x
25 - 5x = 30 + 2x
Answers
hi
As rental charges is contant and then price vary with time of location, then it's answer C
25 + 5x = 30 + 2x
geomtry 20 points: find m
Answers
Answer:
it is not factorable
Step-by-step explanation:
it is not factorable
3/m = 45/50 HELP! I WILL GIVE BRAINLIST IF CORRECT ANSWER
Answers
Step-by-step explanation:
the answer is 5 all you got to do is take away 45 from 50
Answer:
m = 3 1/3
Step-by-step explanation:
I believe the question must be to find a value for m such that 3/m - 45/50.
3/m = 45/50
45m = 150 [Cross multiply]
m = (150/45)
m = 3 1/3
11.Take a look at the following set of the average hours of work per week for two groups of adolescents and compute the more appropriate average score.
Child Group 1 Group 2
1 Lots Little
2 Little Somewhat
3 Somewhat Somewhat
4 Little Little
5 Little Somewhat
6 Little Lots
7 Little Lots
8 Little Somewhat
9 Somewhat Somewhat
10 Lots Somewhat
Answers
the more appropriate average score for the two groups of adolescents is 3.1 hours.
Average hours of work per week for Child Group 1: 2.6 hours
Average hours of work per week for Group 2: 3.1 hours
The more appropriate average score for the two groups of adolescents can be calculated by adding up all the hours of work for each group, then dividing it by the total number of adolescents in each group.
For Child Group 1, the sum of the hours of work is 2 + 0 + 1 + 0 + 0 + 4 + 4 + 0 + 1 + 4 = 16. The total number of adolescents in this group is 10, so the average hours of work per week is 16/10 = 1.6 hours.
For Group 2, the sum of the hours of work is 0 + 2 + 1 + 0 + 2 + 4 + 4 + 1 + 1 + 4 = 19. The total number of adolescents in this group is 10, so the average hours of work per week is 19/10 = 3.1 hours.
Therefore, the more appropriate average score for the two groups of adolescents is 3.1 hours.
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for the demand function, q=-5p 1200, determine the price p, that maximizes revenue
Answers
The price that maximizes revenue is p = 120.
The price that maximizes revenue, we need to find the value of price (p) that corresponds to the maximum value of revenue (R). Revenue is calculated by multiplying the quantity (q) sold by the price (p), so we can express revenue as R = p × q.
Given the demand function q = -5p + 1200, we can substitute this expression for q into the revenue equation:
R = p × q
R = p × (-5p + 1200)
To find the price that maximizes revenue, we can take the derivative of the revenue function with respect to price (p), set it equal to zero, and solve for p.
dR/dp = -10p + 1200 = 0
Solving this equation for p:
-10p + 1200 = 0
-10p = -1200
p = -1200 / -10
p = 120
Therefore, the price that maximizes revenue is p = 120.
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At a point 25 ft. from the base of a totem pole, the angle of elevation of the top of the pole is 50.1 °. How tall is the totem pole to the nearest foot?
Answers
Answer:
height ≈ 30 ft
Step-by-step explanation:
The situation is modelled by a right triangle.
let h be the height of the totem pole, then
tan50.1° = \(\frac{opposite}{adjacent}\) = \(\frac{h}{25}\) ( multiply both sides by 25 )
25 × tan50.1° = h , then
h ≈ 30 ft ( to the nearest foot )
Consider the following function.f(x) - 4 - X^2/3 Find f(-8) and f(8).Find all values c in (-8, 8) such that f'(c) = 0. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) Based off of this information, what conclusions can be made about Rolle's Theorem? a. This contradicts Rolle's Theorem, since f is differentiable, f(-8) = f(8), and f'(c) = 0 exists, but c is not in (-8,8).b. This does not contradict Rolle's Theorem, since f'(0) = 0, and is in the interval (-8, 8).c. This contradicts Rolle's Theorem, since f(-8) = f(-8) = f(8), there should exist a number c in (-8, 8) such that f'(c) = 0.d. This does not contradict Rolle's Theorem, since f'(0) does not exist, and so f is not differentiable on (-8, 8).
Answers
The function f(x) = - 4 - X^2/3 in the interval (-8 ,8 ) concludes the correct answer is option a. it contradicts Rolle's Theorem since although f is differentiable and f(-8) = f(8) but there is no number c in (-8, 8) implies that f'(c) = 0.
Function f(x) is equal to,
f(x) = - 4 - X^2/3
To find f(-8), we plug in x = -8 into the given function,
f(-8)
= 4 - (-8)^2/3
= 4 - 4
= 0
To find f(8), we plug in x = 8,
f(8)
= 4 - 8^2/3
= 4 -4
= 0
⇒f(-8) = f(8)
Take the derivative of f(x),
f'(x) = -2/3× x^(-1/3)
The values of c where f'(c) = 0, we solve the equation,
-2/3× c^(-1/3) = 0
⇒ (-2/3) / c^(1/3) = 0
⇒ -2/3 =0
Since the derivative of f(x) is never equal to 0.
There is no number c in (-8, 8) such that f'(c) = 0.
Therefore, function f(x) concluded that option (a) contradicts Rolle's Theorem since although f is differentiable and f(-8) = f(8), there is no number c in (-8, 8) such that f'(c) = 0.
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Uitute Start Video Share Content Participant original $14 markdown= 15% ole TOTAL original Mark down
Answers
Factor 15x + 35 using the GCF.
A. 5(3x + 7) B. 5(3x + 35) C. 15(x + 2) D. 7(2x + 5)
MARKING BRAINLIST!
Answers
what is 10 3/12 simplified??
Answers
Answer:
10 1/4
Step-by-step explanation:
What is k(-4)?
K(t)=13t-2
Answers
Answer:
-54
Step-by-step explanation:
plug (-4) in for t and solve for k(t)
please give answer i no wanna fail
Answers
Answer:48x14=672
139x12=1668
1668+672=2340
Step-by-step explanation:
You're finding the area of each stamp in length, so add the total area for each stamp together.
Brainly's not just for answers, it's for helping each other learn. :)
what is the answer i
Answers
Answer:
50 degrees
Step-by-step explanation:
A normal population has a mean of $75 and standard deviation of $5. You select random samples of 40. a Apply the central limit theorem to describe the sampling distribution of the sample mean with » = 40. What condition is necessary to apply the central limit theorem?
Answers
The Central Limit Theorem states that for a random sample of n observations drawn from any population with a finite mean μ and a finite standard deviation σ, the sampling distribution of the sample mean approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution.
To apply the Central Limit Theorem, the following condition is necessary:
1. The random sample should be selected from a population that has a finite mean (μ) and a finite standard deviation (σ).
In this case, the population mean is given as $75 and the population standard deviation is given as $5. Since both the mean and standard deviation are finite, the condition for applying the Central Limit Theorem is satisfied.
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The linear correlation coefficient for a set of paired variables is r=0.897. what proportion of the variation in y acn be explained by the linear relationship between x and y?
Answers
About \(80.5\%\) of the variation in y can be attributed to the linear relationship with x.
Used the concept of correlation coefficient that states,
The proportion of the variation in y that can be explained by the linear relationship between x and y can be determined by squaring the correlation coefficient
Given that,
When paired variables are considered, the linear correlation coefficient is,
\(r=0.897\)
Hence the proportion of the variation in y explained by x is,
\(r^2 = (0.897)^2\)
\(r^2 = 0.804609\)
This means that about \(80.5\%\) of the variation in y can be attributed to the linear relationship with x.
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2
4. Write 2 rational numbers between
--
and
4
4
Answers
Answer:
5 and 6 are rational numbers between 4 and 44
Step-by-step explanation:
The formatting is a little weird, so I'm not sure if your asking for 2 numbers between 4 and 44, or 4 and 4
*if it is 4 and 4 then clearly it's a trick question!
I'm going to assume the first option, because the second option is impossible
5 and 6 are rational numbers between 4 and 44
does -2 (6 - 3x) = -12 + 6x have any solutions?
Answers
First to answer
Answer:
This equation has Infinite solutions! or should i say that All real numbers are solutions.
Let me know if it is correct!
Answer:
No solution
Step-by-step explanation:
-2 (6 - 3x) = -12 + 6x
-12+6x=-12+6x
Similar term cancel from both side so they have no solution
1- (-16) and 11- (11) just in case this information is needed it's integers I'm doing this for extra credit
Answers
Answer:
?
Step-by-step explanation:
HELPLPOO ASAP PLEASE HELP MEE
