Answers
For the cosecant we will get:
[tex]csc(\pm \frac{pi}{4}) = \frac{1}{sin(\pm \frac{pi}{4})} = \pm \frac{2}{\sqrt{2} } = \pm \sqrt{2}[/tex]
So the correct option is the third one.
Which of the following choices is the value of cscθ given that cosθ= √2/2?First, we can write:
[tex]csc(x) = \frac{1}{sin(x)}[/tex]
Now, remember that:
[tex]cos(x) = \frac{\sqrt{2} }{2} \\\\for\ x = \pm \frac{pi}{4}[/tex]
And for the sine we have:
[tex]sin(pi/4) = \frac{\sqrt{2} }{2} \\\\sin(-pi/4) = -\frac{\sqrt{2} }{2} \\[/tex]
Then the cosecant for these possible values of x gives:
[tex]csc(\pm \frac{pi}{4}) = \frac{1}{sin(\pm \frac{pi}{4})} = \pm \frac{2}{\sqrt{2} } = \pm \sqrt{2}[/tex]
So the correct option is the third one.
If you want to learn more about trigonometric functions:
https://brainly.com/question/7331447
#SPJ1
Related Questions
HURRY PLEASE HELP!!!
The table represents a linear function. What is the slope of the function?
Answers
Answer:
-6
Step-by-step explanation:
you would use the slope formula y2-y1/x2-x1. the equation should be like 8-2/-2-(-1). Then simplify: 6/-1 or -6
a
2
3
4
5
6
7
8
Which is the graph of f(x) = -(x+3)(x + 1)?
10
Answers
Answer:
graph C
Step-by-step explanation:
(x+3)(x+1) = 0
therefore x = -3 and x = -1
MATH!!! find the volume of the pyramid
Answers
The area of polygons formulas to V=2.56m^2
We have to determine,
The volume of the pyramid.
What is the volume of the pyramid?The volume of a pyramid is found using the formula,
V = (1/3) Bh
where 'B' is the base area and 'h' is the height of the pyramid.
hight =2.4m
base=1.4+1.8
base=3.2m
V = (1/3) (3.2)(2.4)
V=2.56m^2
As we know the base of a pyramid is any polygon,
we can apply the area of polygons formulas to find 'B.
V=2.56m^2.
To learn more about the volume visit:
brainly.com/question/1972490
#SPJ1
2. Margie Spencer wants to have $100,000 in her savings account in 20 years. If her account pays 6.6% annual
interest compounded semiannually, how much must Margie deposit into her account now to meet her goal?
Answers
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$100000\\ P=\textit{original amount deposited}\\ r=rate\to 6.6\%\to \frac{6.6}{100}\dotfill &0.066\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semiannually, thus two} \end{array}\dotfill &2\\ t=years\dotfill &20 \end{cases}[/tex]
[tex]100000=P\left(1+\frac{0.066}{2}\right)^{2\cdot 20}\implies 100000=P(1.033)^{40} \\\\\\ \cfrac{100000}{1.033^{40}}=P\implies 27288.97\approx P[/tex]
Select the correct answer. if you pick a shirt at random from the given batch of 165 shirts, what is the probability that it is red and the size is medium? a. b. c. d. e.
Answers
The probability that a shirt picked at random is red and the size is medium is 48 / 165.
What is the probability?
Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that a shirt picked at random is red and the size is medium = number of red shirts that a medium size / total number of shirts
48 / 165.
Please find attached the table. To learn more about probability, please check: https://brainly.com/question/13234031
#SPJ1
Answer:
The probability that a shirt picked at random is red and the size is medium is 48 / 165.
Step-by-step explanation:
because it is
Select the correct answer. in which career would you most likely apply concepts from geometry? a. food critic b. social worker c. radio dj d. computer game designer
Answers
Answer:
Computer game designer.
Step-by-step explanation:
If you want to design a game, you need to have some basic shapes and stuff in it. I'm not sure what else needs to be explained here lol
Jason and yolanda both drew a simple random sample from a non-normally distributed population of 25,000. jason’s sample consisted of 0.24% of the population, while yolanda’s sample consisted of 0.32% of the population. whose sample can be used to make inferences about the population?
Answers
The correct answer is option D which is both Jason’s sample and Yolanda’s sample can be used to make inferences about the population
The complete question is given below:-
Jason and Yolanda both drew a simple random sample from a non-normally distributed population of 25,000. Jason’s sample consisted of 0.24% of the population, while Yolanda’s sample consisted of 0.32% of the population. Whose sample can be used to make inferences about the population?
neither Jason’s sample nor Yolanda’s sample
only Jason’s sample
only Yolanda’s sample
both Jason’s sample and Yolanda’s sample
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Since we have given that
Total number of population = 25000
Percent of a sample of Jason = 0.24%
Percent of a sample of Yolanda's = 0.32%
So, the number of the population according to Jason's sample is given by
= ( 0.24 / 100 ) x 25000
= 60
The number of the population according to Yolanda's sample is given by
= ( 0.32 / 100 ) x 25000
= 80
Both the sample can be used to make inferences about the population
Hence, the Last Option is correct.
To know more about probability follow
https://brainly.com/question/24756209
#SPJ1
HELPP PLEASE 50 POINTS
Tucker bought some envelopes plain envelope cost twenty-five cents each decorative envelopes cost $0.45 each. he bought at least one plain envelope and at least one decorative envelope he spent exactly the same amount on Plain envelopes as on decorative envelopes.
before taxes added what was the least total amount he could have spent?
A. 1.40$
B. 2.30$
C. 3.10$
D4.50$
Answers
Answer:
D.
Step-by-step explanation:
0.45*5=2.25
0.25*9=2.25
2.25*2=4.50
Hope this helps!
If not, I am sorry.
What is x, the angle at which the diagonal beam meets the 10-foot beam at the top of the frame? 16.7° 17.5° 72.5° 73.3°
Answers
The complete question is
"A theater production group is making frames to support wall-like props. Three-foot beams form right triangles with 10-foot beams to allow them to stand, as shown in the image.
What is x, the angle at which the diagonal beam meets the 10-foot beam at the top of the frame?
16.7°, 17.5°, 72.5°,73.3°"
The value of angle x would be 16.7 degrees.
What is the right triangle?A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse.
The angle of a right angle is always 90 degrees.
In order to find the value of x, a tan would be used.
This is because we have given the opposite and adjacent sides as 10 ft and 3 ft.
Tan Ф = opposite / adjacent
Tan Ф = (3/10)
= 16.7 degrees
The value of angle x would be 16.7 degrees.
Learn more about a right angle;
https://brainly.com/question/7116550
#SPJ1
Answer: the answer is 16.7°.
Step-by-step explanation: it show below.
The door prizes at a dance are gift certificates from local merchants. there are four $10 certificates, five $20 certificates, and three $50 certificates. the prize envelopes are mixed together in a bag and are drawn at random.
Answers
The probability that none of the prizes is a $10 gift certificate is; 7/99
The expected number of $20 gift certificates drawn is 2.083
How to find the Probability?This is a question of picking objects from a mixture without replacement. The modelling distribution is the hypergeometric distribution, given by the formula:
P(a) = C(A,a) * C(B,b)/C(A+B,a+b)
Where;
a = number of good objects picked
b = number of bad objects picked.
A = number of good objects in the given batch.
B = number of bad objects in the given batch.
a + b = total number of objects picked without replacement.
A + B = total number of objects in the batch.
A) In this question;
A = 4 ($10, good)
B = 3 + 5 = 8 ($20, $50, "bad")
a = 0, b = 5
a + b = 5
Thus;
P(a = 0) = C(4, 0) × C(8, 5)/C(12, 5)
P(a = 0) = 1 × 56/792
P(a = 0) = 7/99
B) $20 is the "good" prize.
Thus;
A = 5
B = 3 + 4 = 7
a + b = 5 (total number of prizes drawn)
Thus;
E[$20] = (5/(5 + 3 + 4)*5)
E[$20] = (5/12)*5
E[$20] = 25/12
E[$20] = 2.083
Complete Question is;
The door prizes at a dance are four $10 gift certificates, five $20 gift certificates, and three $50 gift certificates. The prize envelopes are mixed together in a bag, and five prizes are drawn at random.
What is the probability that none of the prizes is a $10 gift certificate?
What is the expected number of $20 gift certificates drawn?
Read more about Probability at; https://brainly.com/question/251701
#SPJ1
Beth says that the graph of g(x) = + 1 is a translation of 5 units to the left and 1 unit up of f(x) = . She continues to explain that the point (0, 0) on the square root function would be translated to the point (–5, 1) on the graph of g(x). Is Beth’s description of the transformation correct? Explain.
Answers
Beth's description of the transformation is incorrect
Complete questionBeth says that the graph of g(x)=x-5+1 is a translation of 5 units to the left and 1 unit up of f(x) = x. She continues to explain that the point (0,0) on the square root function would be translated to the point (-5,1) on the graph of g(x). Is Beth's description of the transformation correct? Explain
How to determine the true statement?The functions are given as:
g(x) = x - 5 + 1
f(x) = x
When the function f(x) is translated 5 units left, we have:
f(x + 5) = x + 5
When the above function is translated 1 unit up, we have:
f(x + 5) + 1 = x + 5 + 1
This means that the actual equation of g(x) should be
g(x) = x + 5 + 1
And not g(x) = x - 5 + 1
By comparison;
g(x) = x - 5 + 1 and g(x) = x + 5 + 1 are not the same
Hence, Beth's description of the transformation is incorrect
Read more about transformation at:
https://brainly.com/question/17121698
#SPJ1
The population of center city is modeled by exponential function
Answers
The range of the exponential function will be y ≥ 250,0003. Then the correct option is B.
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
The Population Of Center City Is Modeled By Exponential Function F, Where X Is The Number Of Years After The Year 2015.
The graph is given below.
We know that the exponential function is given as
y = abˣ
For x = 0, y will be 250,000
250,000 = a
For x = 40, y will be 400,000
400,000 = 250,000b⁴⁰
b = 1.0118
Then we have
y = 250,000 (1.0118)ˣ
Then the range of the exponential function will be y ≥ 250,0003.
More about the domain and range link is given below.
https://brainly.com/question/12208715
#SPJ4
solve pls brainliest
Answers
To solve: multiply 72 by 5/8
5/8 x 72/1
We can simplify this to become:
5/1 x 9/1
This gives us an answer of 45.
Solve the equation using square roots. 4x^2-371=29
Answers
Answer:
x = 100
Step-by-step explanation:
[tex]4x^{2} -371=29\\[/tex]
+ 371 +371
[tex]4x^{2} =400[/tex]
[tex]\sqrt{4x^{2} } =\sqrt{400}[/tex]
[tex]4x=400[/tex]
Divide both sides by 4.
x = 100
Hope it helps!
Find all angles, 0≤θ<360, that satisfy the equation below, to the nearest 10th of a degree.
4cos2θ+9=−14cosθ
Answers
Since cosine is negative in the second and 3rd quadrant, the required angles are 120 and 240 degrees
Trigonometry identityTrigonometry identities are expressed as a function of cosine, sine and tangent.
Given the trigonometry expression shown
4cos2θ+9=−14cosθ
Equate to zero
4cos2θ+9 + 14cosθ = 0
According to trig identity
cos2θ = 2cos²θ - 1
Substitute to have:
4(2cos²θ - 1)+9 + 14cosθ = 0
Expand
8cos²θ - 4 + 9 + 14cosθ = 0
8cos²θ+ 14cosθ + 5 = 0
let P = cosθ to have;
8P² + 14P + 5 = 0
Factorize the result
8P² + 10P + 4P + 5 = 0
2P(4P+5)+1(4P+5)=0
(2P+1) = 0 and 4P+5 = 0
2P = -1 and P = -5/4
P = -1/2 and -5/4
Recall that P = cosθ
If P = -1/2
cosθ = -1/2
θ = -60
Since cosine is negative in the second and 3rd quadrant, the required angles are 120 and 240 degrees
Learn more on trigonometry identity here: https://brainly.com/question/24349828
#SPJ1
1. suppose you purchased a new car for
$30,000 in 2015. if the value of the car
decreased by 8% each year, during what year
will the car be worth $10,000
Answers
$10000.00.
Each card in a standard deck of 52 playing cards is unique and belongs to 111 of 444 suits:
13 cards are clubs
13 cards are diamonds
13 cards are hearts
13 cards are spades
Suppose that Luisa randomly draws 4 cards without replacement.
What is the probability that Luisa gets 2 diamonds and 2 hearts (in any order)?
Answers
The probability that Luisa gets 2 diamonds and 2 hearts (in any order) is:
P = 0.022
How to get the probability?
The probability of getting a particular type of card, is given by the quotient between the number of cards of that type and the total number of cards.
Here, let's assume that the 4 draws are:
diamond-diamond-heart-heart.
In that order.
First, the probability of drawing a diamond card is equal to:
p₁ = 13/52
Because there are 13 diamond cards and 52 cards in total.
Bt after that draw, there will be 12 diamond cards and 51 cards in total, so the probability of getting the second diamond card is:
p₂ = 12/51.
Now, there are 13 heart cards and 50 cards in the deck, so the probability of getting the first heart card is:
p₃ = 13/50
And the probability of getting the second one is:
p₄ = 12/49.
The joint probability will be the product of the 4 individual probabilities, but we also need to take in account the possible permutations, these are:
(using D for diamond and H for heart).
D - D - H - H
D - H - D - H
D - H - H - D
H - D - D - H
H - D - H - D
H - H - D - D
So there are 6 permutations, this means that the probability is:
P = 6*p₁*p₂*p₃*p₄ = 6*(13/52)*(12/51)*(13/50)*(12/49) = 0.022
If you want to learn more about probability:
https://brainly.com/question/251701
#SPJ1
helppppppppppppppppppppppppp
Answers
Answer:
reason 1.) This is the original expression
reason 2.) you subtract 4 from both sides
reason 3.) you divide both sides by 2 to get x=5
Please help! Will mark big brain!
Answers
Answer:
The height of the ladder is 6.9 meter
Explanation:
Given:
angle: 60°opposite: 6 meterhypotenuse: height of ladderAs opposite and hypotenuse given, use sine rule:
[tex]\rightarrow \sf sin(x) = \dfrac{opposite}{hypotenuse}[/tex]
[tex]\rightarrow \sf sin(60) = \dfrac{6}{h}[/tex]
[tex]\rightarrow \sf h = \dfrac{6}{sin(60)} = 4\sqrt{3} = 6.928 \ meters \quad \approx \ 6.9 \ meters \ \ (one \ decimal \ place)[/tex]
what is the absolute value of 2x + 3 = 11
Answers
Expand the brackets.
4(t – 5)
Answers
Step-by-step explanation:
[tex] = 4(t - 5)[/tex]
[tex] = 4t - 4 \times 5[/tex]
[tex] = 4t - 20[/tex]
Answer:
4t - 20
Step-by-step explanation:
[tex]4(t - 5)[/tex]
[tex]4t(5)[/tex]
[tex]= 20[/tex]
[tex]= 4t-20[/tex]
The area of a sector of a circle is given by the equation uppercase A = StartFraction pi r squared uppercase S Over 360 EndFraction, where r is the radius of the circle and S is the angle measure of the sector. If Mia solved this equation for S, which of the following equations did she write?Which of the following equations is equivalent to S = pi r squared h?
Answers
A circle is a curve sketched out by a point moving in a plane. The equation that Mia will write is S = (360 × A)/(πR²).
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
Given the area of the sector of a circle is given by,
A = (πR²×S)/360°
Now, If Mia solved this equation for S, then the equation that she will write is,
S = (360 × A)/(πR²)
Hence, the equation that Mia will write is S = (360 × A)/(πR²).
Learn more about Circle:
https://brainly.com/question/11833983
#SPJ1
Answer: S = (360 × A)/(πR²).
Step-by-step explanation:
Express Books advertised a college dictionary for $27.65 and a dictionary
software package for $29.80. The state tax is 5.5 percent and the city tax
is 1.5 percent. What is the total purchase price?
O $55.67
O $61.47
O $58.99
O $60.60
A
Answers
The total purchase price of the dictionary and the software package is $61.47.
What is the total purchase price?The total purchase price is the sum of the dictionary, software package and taxes.
Total cost of the dictionary and the software package = $27.65 + $29.80 = $57.45
Total cost after the taxes = ( 1 + 0.055 + 0.015) x $57.45 = $61.47
To learn more about taxes, please check: https://brainly.com/question/25311567
#SPJ1
E im so confused-
( Please explain your answer! )
Answers
Answer:
B. 180° about the origin
Step-by-step explanation:
You are given a figure and its image, and asked to determine the angle of rotation. All of the answer choices indicate the center of rotation is the origin.
__
You have two clues that the rotation is 180° about the origin:
The original figure is in the 2nd quadrant, and the image is in the 4th quadrant, directly opposite the origin.Line ST is directed to the northeast; line S'T' is directed to the southwest, in exactly the opposite direction.__
To find the angle of rotation, you can look at the angle formed by a point, the center of rotation, and the image of the original point. Here, the angle UOU' is a straight angle, so the angle of rotation about O is 180°--the measure of that angle. (It can be convenient to use points close to the center of rotation, but any corresponding points on preimage and image will do.)
1.Isabel exercises no less than 45 minutes per day.
Use t to represent Isabel's amount of exercise (in minutes per day).
2. The vehicle's fuel is at least 45 miles per gallon.
Use f to represent the vehicle's fuel efficiency (in miles per gallon).
Answers
[1] t ≥ 45
Since Isabel exercises more ("no less") than 45 minutes a day, we will use greater than or equal to.
-> because being equal is not less, hence still "no less"
[2] f ≥ 45
Because the vehicle's fuel is "at least" that means it can also be equal too, hence the user of greater than or equal to.
A rectangular solid is dilated by a factor of 0.5
How many times larger is the volume of the resulting cube than the volume of the original cube
Enter your answer as a decimal and do NOT round
Answers
Answer:
0.125 times larger
Step-by-step explanation:
given the scale factor of 2 solids is k , then the volume factor = k³
here k = 0.5 , so
volume factor = (0.5)³ = 0.125
Which lists the steps in the correct order to find the median of this data set? 24, 16, 23, 30, 18, 29 O 1. Put the numbers in order. 2. Cross off high/low pairs. 3. Add the leftover numbers. 4. Divide the sum by 2. O1. Put the numbers in order. 2. Cross of high/low pairs. 1. Cross off high/low pairs. 2. Add the leftover numbers. 3.Divide the sum by 2. 1. Cross of high/low pairs.
Answers
Median is the central tendency of the data and always exists in the middle of the data set.
What is the median?The Median is the middlemost value of the numbers arranged in the ascending orders. Median is the central tendency of the data and always exists in the middle of the data set.
The process of finding the median if the number of data points is even is as follows:
Put the numbers or the data points in the order(increasing or decreasing i.e. ascending or descending order)Next cross of the high/ low pairsAdd the leftover numbersand divide the number( as obtained in the above step by 2)( if the number of data pints were even then we just need to arrange the numbers and cross the high/low pair and only one data point will be left which acts as the Median of the data set)
To know more about median follow
https://brainly.com/question/26151333
#SPJ1
parallelogram ABCD has vertices A(0,0)B(3,6)C(11,2) find the possible coordinates of D
Answers
The parallelogram ABCD formed by vertices A(x, y) = (0, 0), B(x, y) = (3, 6) and C(x, y) = (11, 2) has a point D with the following coordinates: D(x, y) = (14, 8).
How to determine the missing vertex of a parallelogram
In this question we know only three vertices of the parallelogram. To determine the missing point we must understand the properties of parallelograms. Vectorially speaking, we can find the missing vertex by using the following property:
[tex]\overrightarrow{AB} = \overrightarrow {CD}[/tex]
[tex]\vec B - \vec A = \vec D - \vec C[/tex]
[tex]\vec D = \vec C + (\vec B - \vec A)[/tex]
D(x, y) = (11, 2) + [(3, 6) - (0, 0)]
D(x, y) = (11, 2) + (3, 6)
D(x, y) = (14, 8)
The parallelogram ABCD formed by vertices A(x, y) = (0, 0), B(x, y) = (3, 6) and C(x, y) = (11, 2) has a point D with the following coordinates: D(x, y) = (14, 8).
To learn more on parallelograms: https://brainly.com/question/11220936
#SPJ1
How much greater is 8 x 10 to the power of 5 then 8 x 10 to the power of -1
Answers
Answer:
3.276.799.999,9875
Step-by-step explanation:
(8 × 10)^5 - (8 × 10)^-1 = 3.276.799.999,9875
Subtract
800,000 - .8 = 799,999.2
Pls Help, Will Give Brainlest
Answers
Answer:
19.1 ft³
Step-by-step explanation:
Hello!
Volume of a cylinder: [tex]V = \pi r^2h[/tex]
V = volumeπ = pi (3,14)r = radiush = heightWe can plug in the values and solve.
Solve[tex]V = \pi r^2 h[/tex][tex]V = (3.14)(1.5)^2(2.7)[/tex][tex]V = (3.14)(2.25)(2.7)[/tex][tex]V = 19.0755 \approx 19.1[/tex]The volume is approximately 19.1ft³
Step-by-step explanation:
[tex]\pink{\large{\underline{\underline{\sf Given:-}}}}[/tex]
[tex] \sf Radius_{\blue{cylinder}}=1.5 \: feet[/tex][tex] \sf Height_{\blue{cylinder}}=2.7 \: feet[/tex][tex]\pink{\large{\underline{\underline{\sf To\:find:-}}}}[/tex]
[tex] \sf Volume_{\blue{cylinder}}=?[/tex][tex]\pink{\large{\underline{\underline{\sf Solution:-}}}}[/tex]
We know that,
[tex]\underline{\boxed{\sf Volume_{cylinder}=πr^2h}}[/tex]
[tex]\longmapsto \sf 3.14×(1.5)^2×2.7[/tex]
[tex]\longmapsto \sf 3.14×2.25×2.7[/tex]
[tex]\longmapsto \sf 3.14×6.075[/tex]
[tex]\longmapsto \sf 19.0755≈19.1\: cubic\:feet[/tex]