If ∠P, ∠Q, and ∠R are given, as well as the value of p, then explain whether the Law of Sines or the Law of Cosines should be used to solve for q.
Law of Sines, two angles and an opposite side are known
Law of Sines, two sides and an opposite angle are known
Law of Cosines, two sides and the included angle are known
Law of Cosines, all sides are known
Answers
Answer:
Law of Sines, two angles and an opposite side are known
Step-by-step explanation:
Law of Sines, two angles and an opposite side are known
q/sinQ = p/sinP
q = p/sinP * sinQ
Related Questions
A money box contains only 10-cent
and 20-cent coins. There are 33
coins with a total value of $4.60.
How many coins of each?
Answers
Answer:
Below in bold.
Step-by-step explanation:
x + y = 33 where x = 10 cent coin and y = 20 cent coin
10x + 20y = 460
Multiply first equation by 10:
10x + 10y = 330
Subtract this from the second equation:
10y = 130
y = 13
So there are 13 20c coins
and 33 - 13 = 20 10c coins.
This is a real logic problem you just need to trial and error
A binary operation is defined on the set of real numbers ℝ by
x ∆ y = x²− 2xy + y
²
; x, y ∈ ℝ.
i. Find m such that 2 ∆ − 5 = √m
ii. Simplify ((n+1) ∆ y)/n
; n ≠ 0
Answers
Answer:
I. m = 2401
II. ((n+1) ∆ y)/n = 1/n[(n – y + 2)(n – y) + 1]
Step-by-step explanation:
I. Determination of m
x ∆ y = x² − 2xy + y²
2 ∆ − 5 = √m
2² − 2(2 × –5) + (–5)² = √m
4 – 2(–10) + 25 = √m
4 + 20 + 25 = √m
49 = √m
Take the square of both side
49² = m
2401 = m
m = 2401
II. Simplify ((n+1) ∆ y)/n
We'll begin by obtaining (n+1) ∆ y. This can be obtained as follow:
x ∆ y = x² − 2xy + y²
(n+1) ∆ y = (n+1)² – 2(n+1)y + y²
(n+1) ∆ y = n² + 2n + 1 – 2ny – 2y + y²
(n+1) ∆ y = n² + 2n – 2ny – 2y + y² + 1
(n+1) ∆ y = n² – 2ny + y² + 2n – 2y + 1
(n+1) ∆ y = n² – ny – ny + y² + 2n – 2y + 1
(n+1) ∆ y = n(n – y) – y(n – y) + 2(n – y) + 1
(n+1) ∆ y = (n – y + 2)(n – y) + 1
((n+1) ∆ y)/n = [(n – y + 2)(n – y) + 1] / n
((n+1) ∆ y)/n = 1/n[(n – y + 2)(n – y) + 1]
Yam
190
Groundnuts
90
Vegetables
30. What is the ratio of the land used
for groundnuts to the land for
vegetables
Answers
Answer:
3:1
Step-by-step explanation:
90:30 simplified is 3:1
Pls Help I will give Brainliest!
Answers
Answer:
Step-by-step explanation:
To find the percentage, what I did was that I divided 55 and 163 and the answer I got was 33%. However, my answer was incorrect. Because my answer was incorrect, how do I go about this problem?
Answers
Answer:
200
Step-by-step explanation:
You were right to divide 55 by 163. The problem, however, asks for the answer to be rounded to the nearest tenth.
Therefore, 55 / 163 = 0.3374 = 33.7%
Hope this helps!
At the beginning of a population study, a city had 320,000 people. Each year since, the population has grown by 2.1%. Lett be the number of years since start of the study. Let y be the city's population. Write an exponential function showing the relationship between y and t.
Answers
Answer:
y = 320,000(2.1)^t
Step-by-step explanation:
uhm, im not very good at explaining, but everytime the year increases, the population will exponentially increase, that's why 't' is an exponent
Answer:
[tex]y=320000(1.021)^t[/tex]
Step-by-step explanation:
To increase something by x% mulitply it by (1+x)
in other words, to increase sometihng by 2.1% mulitply it by
(1+.021) or 1.021
because we are mulitplying 320000 by 1.021 each year we can write the equation as
y=320000(1.021)^t
A circle P is circumscribed about a regular hexagon ABCDEF
Arcs AB, BC, CD, DE, EF, FA are all equal
Select one:
a. False
b. True
Answers
Answer: True
Explanation:
Let point G be the center of both the hexagon and the circle.
The measure of arc AB is the same as central angle AGB, both of which are 360/6 = 60 degrees. This applies to the other arc measures as well. The full 360 degree circle is split up into 6 equal pieces, each piece being 60 degrees.
Set up an equation and find the missing value of x.
Answers
Answer:
x = 35
Step-by-step explanation:
The angles shown are vertical angles
Vertical angles are congruent
Hence, 80 = 2x + 10
( Note that we just created an equation that we can use to solve for x )
We now solve for x using the equation we created
80 = 2x + 10
Step 1 subtract 10 from each side
80 - 10 = 70
10 - 10 cancels out
We now have 70 = 2x
Step 2 divide each side by 2
70/2 = 35
2x / 2 = x
We're left with x = 35
[3⋅5]7=
help pls anyone pls help me
Answers
An College student complained that the cost of textbooks was too high. She randomly surveyed 36 other students and found that the mean amount of money spent for textbooks was $121.60. If the standard deviation of the population was $6.36, find the best point estimate. Show your work.
Answers
Answer:
The best point estimate for the mean amount of money spent for textbooks for all students at the College is of $121.60.
Step-by-step explanation:
Best point estimate:
The best point estimate of a population mean is the sample mean.
In this question:
The sample mean amount of money spent for textbooks was $121.60, which means that the best point estimate for the mean amount of money spent for textbooks for all students at the College is of $121.60.
A grapefruit is 8% heavier than an orange, and an apple is 10% lighter than the
orange.
By what percentage is the grapefruit heavier than the apple?
pls answer
Answers
Grapefruit=108
Orange=100
Apple=90
a) (108-90)/90*100 = 18/90*100=20%
b) (108-90)/108= 18/108*100=16 2/3%
Answer:
The grapefruit is 20% heavier than the orange:)
Step-by-step explanation:
Let the weight of orange be x.
This means that the weight of grapefruit is:
1.08x
( Since grapefruit is: 8% heavier than orange )
Also, the weight of apple is 10% lighter than apple.
This means that the weight of apple is: 0.90 x
is the sum of two rational numbers sometimes zero ture or false?
Answers
Answer:
True.
Step-by-step explana
-4/5 + 4/5 is 0
Is each statement true for parallelogram DEFG? Drag each statement into the correct box.
DF=EG
EF=DG
∠DEG ≅ ∠FGE
Answers
The statements DF=EG, EF=DG and ∠DEG ≅ ∠FGE are true for parallelogram DEFG.
What is Quadrilateral?a quadrilateral is a four-sided polygon, having four edges and four corners.
DEFG is a parallelogram.
A parallelogram is a simple quadrilateral with two pairs of parallel sides.
The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.
DF=FG is a true statement.
The diagonal passing through a parallelogram are equal in length.
EF=DG is a true statement
The opposite sides of a parallelogram are equal.
∠DEG ≅ ∠FGE are congruent angles.
Because the opposite angles of a triangle are equal in meausure.
Hence, the statements DF=EG, EF=DG and ∠DEG ≅ ∠FGE are true for parallelogram DEFG.
To learn more on Quadrilateral click:
https://brainly.com/question/29934440
#SPJ2
+
= 1
Which ellipse has a major axis that is vertical?
A (x + 1)2 (y + 12)2
20
6
8 3x2 + 7y2 - 21 = 0
© An ellipse with foci (0, 15) and (0, -15) and co-vertices (4,0).and (-4, 0)
An ellipse with vertices (0, 4) and (30, 4) and co-vertices (15, 3) and (15,5)
Answers
Answer:
Step-by-step explanation:Bó tay
This is a 30-60-90 triangle. What is the measure of x?
Answers
Each time Caroline goes shopping she decides whether or not to buy fruit.
The probability that she does buy fruit is 0.6.
Independently, she then decides whether or not to buy a CD, with a probability of 0.2 that she does buy a CD.
Work out the probability that she buys fruit or buys a CD or both.
Answers
Answer:
this probability is 0.68
Step-by-step explanation:
the probability she buys fruit but not a CD is
0.6 × (1 - 0.2) = 0.48
the probability she buys a CD by not fruit is
0.2 × (1 - 0.6) = 0.08
the probability that she buys both is
0.6 × 0.2 = 0.12
the probability that she buys fruit or a CD or both is adding all 3 probabilities :
0.48 + 0.08 + 0.12 = 0.68
For brainlest:)))) answer
Answers
Answer:
0Step-by-step explanation:
There are not rotational symmetry.
Calls to a customer service center last on average 2.8 minutes with a standard deviation of 1.4 minutes. An operator in the call center is required to answer 75 calls each day. Assume the call times are independent. What is the expected total amount of time in minutes the operator will spend on the calls each day
Answers
Answer:
The expected total amount of time the operator will spend on the calls each day is of 210 minutes.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
n-values of normal variable:
Suppose we have n values from a normally distributed variable. The mean of the sum of all the instances is [tex]M = n\mu[/tex] and the standard deviation is [tex]s = \sigma\sqrt{n}[/tex]
Calls to a customer service center last on average 2.8 minutes.
This means that [tex]\mu = 2.8[/tex]
75 calls each day.
This means that [tex]n = 75[/tex]
What is the expected total amount of time in minutes the operator will spend on the calls each day
This is M, so:
[tex]M = n\mu = 75*2.8 = 210[/tex]
The expected total amount of time the operator will spend on the calls each day is of 210 minutes.
2 sin x cos x – sin x = 0
Answers
Answer: PiN, Pi/3+2PiN, 5Pi/3+2PiN
Step-by-step explanation: Use formula sheet
Someone please help, thank you
Answers
Step-by-step explanation:
everything can be found in the picture
Answers:
(a) [tex]n = 2(r+m)[/tex]
(b) [tex]n = \frac{h^2}{9}[/tex]
===========================================
Work Shown:
Part (a)
[tex]\frac{n}{2} - m = r\\\\\frac{n}{2} = r+m\\\\n = 2(r+m)[/tex]
In the second step, I added m to both sides. Afterward, I multiplied both sides by 2 to fully isolate n.
------------------------
Part (b)
[tex]3\sqrt{n} = h\\\\\sqrt{n} = \frac{h}{3}\\\\n = \left(\frac{h}{3}\right)^2\\\\n = \frac{h^2}{3^2}\\\\n = \frac{h^2}{9}\\\\[/tex]
First I divided both sides by 3. After that, I squared both sides. The (h/3) squares to (h^2)/9.
What is the sample space for the suits of a standard 52-card deck of cards?
Answers
All the possible outcomes of an experiment.
Example: choosing a card from a deck
There are 52 cards in a deck (not including Jokers)
So the Sample Space is all 52 possible cards: {Ace of Hearts, 2 of Hearts, etc... }
The sample space for the suits of a standard 52-card deck of cards is {Hearts, Diamonds, Clubs, Spades}.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
The sample space for the suits of a standard 52-card deck of cards consists of four elements, one for each suit:
Hearts
Diamonds
Clubs
Spades
Each card in the deck belongs to one of these four suits. Therefore, the sample space for the suits of a standard 52-card deck of cards is {Hearts, Diamonds, Clubs, Spades}.
Hence, the sample space for the suits of a standard 52-card deck of cards is {Hearts, Diamonds, Clubs, Spades}.
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ2
Write this ratio as a fraction in simplest form without any units. 6 weeks to 49 days You can use the table below to help convert the units.
Answers
Step-by-step explanation:
6 weeks : 49 days
42 days : 49 days
42/49(HCF is 7, so divide both values by 7)
that will equal to 6/7
A band played an encore at 2 of its last 4 shows. Considering this data, how many of the
band's next 14 shows would you expect to have an encore?
shows
Answers
The number of times that the band played an encore at 7 out of the next 14 shows.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The band should do an encore at a rate of 2 out of every 4 gigs, or 2/4 = 1/2 shows, according to the available statistics.
We may use the following percentage to determine how many of the following 14 performances will likely have an encore:
1/2 = x/14
14 = 2x
x = 7
Therefore, we can expect the band to play an encore at 7 out of the next 14 shows.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
What is the volume of the solid figure?
help pls
Answers
Answer:
B, 4x6x7 and 1x3x3.
Step-by-step explanation:
First, remember the formula: V=LWH (Volume equals length times width times height). Lastly, find the equations that match that formula, therefor B, 4x6x7 and 1x3x3 matches the formula, so B is your correct answer.
10 mugs and 2 plates cost £54
8 mugs and 2 plates cost £46
Write down and solve simultaneous equations
(M is the cost of a mug and p is the cost of a plate, in £
Answers
Answer:
mug = 4
plate = 7
Step-by-step explanation:
10 x + 2y =54
8x + 2y = 46
2x = 8
x = 4
2y = 14
y = 7
why museums are regarded as information resources?
Answers
Step-by-step explanation:
everything can be found in the picture
Answer:
Hello There!!
Step-by-step explanation:
Museums are regarded as information resources because there are historical things and artifacts there.
hope this helps,have a great day!!
~Pinky~
Shen started to run on a treadmill after setting its timer for 93 minutes. The display says that he has finished 69% of his run. How many minutes have gone by?
Round your answer to the nearest tenth.
Answers
Answer:
64.2 minutes
Step-by-step explanation:
We are given that
Shen set timer to run=93 minutes
He has finished his run=69%
We have to find total number of minutes have gone by.
69% of 93
=[tex]\frac{69}{100}\times 93[/tex]
By using
a%[tex]=\frac{a}{100}[/tex]
69% of 93=[tex]\frac{6417}{100}[/tex]
69% of 93=64.17 min
69% of 93[tex]\approx 64.2min[/tex]
Hence, 64.2 minutes have gone by.
Is -40/8 positive or negative?
Answers
Answer:
Negative. The answer gives - 5
Answer:
Negative
Step-by-step explanation:
-40/8 is equivalent to -5. Since -5 or "negative five" is negative (as it states), the equation is negative.
Which region represents the solution to the given system of inequalities?
Answers
Answer:
The intersection region shown in the graph attached is the solution of the system of inequalities
Discount Comics is running a special: 20 comics for $5.00. Seth purchases 30 comics for $7.50. What is the sale price per comic?
$ per comic?
Answers
Answer:
$0.25
Step-by-step explanation:
Answer:
A
Step-by-step explanation: