Check all that apply: If cos theta = 15/17 then:

A. Sec theta = 17/15

B. Tan theta = 8/15

C. Sin theta = 15/8

D. Csc theta = 17/15

Answers

Answer 1

The options (A) and (B) are correct.

What is trigonometric Ratios?

"Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. It is with respect to any of its acute angles are known as the trigonometric ratios of that particular angle".

For the given situation,

Cos θ = 15/17

By using Pythagoras theorem,

We know Cos θ = [tex]\frac{base}{hypotenuse}[/tex]

Sine θ = [tex]\frac{perpendicular}{hypotenuse}[/tex]

tan θ = [tex]\frac{perpendicular}{base}[/tex]

By Pythagoras theorem, [tex]Hypotenuse^{2}= base^{2}+perpendicular^{2}[/tex]

⇒[tex]17^{2}=15^{2}+perpendicular^{2}[/tex]

⇒[tex]perpendicular^{2}= 289-225[/tex]

⇒[tex]perpendicular=\sqrt{64}[/tex]

⇒[tex]perpendicular=8[/tex]

Thus, Sec θ = 17/15

Tan θ = 8/15

Sine θ = 8/17

Cosec θ = 17/8.

Hence we can conclude that the options (A) and (B) are correct.

Learn more about trigonometric ratios here

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Answer 2

Answer:

tan and sec

Step-by-step explanation:

A amd B


Related Questions

In the diagram which angles are alternate interior angles with angle 14?

Answers

ANGLE 4 and ANGLE 12
Angle 4 and Angle 12

Solve each system:

80x+60y=85
100x-40y=20

Answers

y = 3/4 (fraction)
x= 1/2 (fraction)

Color of car. a. Qualitative/Ordinal b. Qualitative/Nominal c. Quantitative/Discrete d. Quantitative/Continuous

Answers

Colors are Qualitative and Nominal: Qualitative, because there is no number involved for "color" and Nominal, because their is no natural ordering for color

At the beginning of the month a store had a balance of −$554. During the month the store lost another $600. What is the current balance?

Answers

$-1,154. All you have to do is subtract 600 from -554.
$-554 - $600 = $-1,154
So the stores current balance is $-1,154.
Please mark brainliest and have an amazing day.

A parachutist's speed during a free fall reaches
207
kilometers per hour. What is this speed in meters per second? At this speed, how many meters will the parachutist fall during 5 seconds of free fall?

Answers

1) Convert using online calculators.
    207km/h = 57.5m/s

2) Use the rate from question 1.
    Make an equation and cross multiply to solve for x.
    57.5/1 = x/5
    x = 57.5(5)
    x = 287.5
    So he fell 287 meters in just 5 seconds

Zoey put a $1040 item on layaway by making a down payment of 13% of the purchase price. How much does she have left to pay after making the down payment?
A.$80
B.$135.20
C. $1040.00
D. $904.80

Answers

The amount of the down payment is
1,040×0.13=135.2

So the amount she has to pay after making the down payment is
1,040−135.2=904.8

It's d

Downpayment is the percent amount paid from a sum  of money. The amount left after the downpayment is  $904.80

Downpayment on a price

Downpayment is the percent amount paid from a sum  of money. If Zoey put a $1040 item on layaway by making a down payment of 13% of the purchase price, the amount he have left is;

Amount left = (100 - 13)% * 1040

Amount left .= 87% of 1040

Amount left = 0.87 * 1040

Amount left =  $904.80

Hence the amount left after the downpayment is  $904.80

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Can some PLEASE help me with 8 and 9!!????

Answers

x represents how much each ticket cost. The 8 represents the number of people who went to the movies ("a group of 8 friends...") 



PLEASE HELP IM RUNNING OUT OF TIME!!!!!

Which of the following radical expressions has an absolute value symbol in its simplified form?

I hope i wrote these right

MY CHOICES ARE:
a. 16x^4−−−−√4
b. 81x−−−√4
c. −125x^3−−−−−−√3
d. 64x^3−−−−√3

Answers

If I understand ur question correctly, the first one:

(16x^4)^(1/4) = 2*abs(x)

An urn holds 5 white and 3 black marbles. if 2 marbles are to be drawn at random without replacement and x denotes the number of white marbles, find the probability distribution for x

Answers

i = [tex]p(0) = \frac {3} {8} x \frac {2} {7} = \frac {3} {28} ; p (1) = \frac {3} {8} x \frac {5} {7} + \frac {5} {8} x \frac {3} {7} = \frac {15} {28}; p (2) = \frac {5} {8} x \frac {4} {7} = \frac {5} {14} [/tex]

 

(a)  i. The probability mass function of X is 5 / 14

Hypergeometric Distribution is the probability distribution of a hypergeometric random variable.

The hypergeometric distribution is used to calculate the statistical importance of having drawn a specific k successes (out of n total draws) from the aforementioned population in the hypergeometric test uses.


ii. Please see attached image for the answer.

Final answer:

To find the probability distribution for x, consider the possible values of x and calculate the probability of each value. When 2 marbles are drawn without replacement, there are two possible outcomes. The probability distribution for x is P(x = 0) = 3/28, P(x = 1) = 15/56, and P(x = 2) = 5/14.

Explanation:

To find the probability distribution for x, we need to consider the possible values of x and calculate the probability of each value.

Since there are 5 white marbles and 3 black marbles in the urn, the total number of marbles is 8.

When 2 marbles are drawn without replacement, there are two possible outcomes: (1) both marbles are white and (2) one marble is white and one marble is black.

Let's calculate the probabilities:

P(x = 0) = P(both marbles are black) = (3/8) * (2/7) = 6/56 = 3/28

P(x = 1) = P(one marble is white and one marble is black) = (5/8) * (3/7) = 15/56

P(x = 2) = P(both marbles are white) = (5/8) * (4/7) = 20/56 = 5/14

Therefore, the probability distribution for x is:

P(x = 0) = 3/28

P(x = 1) = 15/56

P(x = 2) = 5/14

What is the length of the hypotenuse of a right triangle if each of the two legs is 4 units? square root of 8 units 4 units square root of 32 units 8 unit?

Answers

Answer:

Well if you still need the answer around 4 years later LOL its √32

Step-by-step explanation:

Answer:

√32

Step-by-step explanation:

Because this is totally helpful 4 years later

Can someone help me figure this out: Factor 12y^2-27? I keep getting the steps confused.

Answers

Factor out the gcf first.

3(4y^2-9)

The binomial inside is a perfect square so keep factoring.

3(2y+3)(2y-3)

The pair of binomials cannot be further factored so stop there.

what is the distance between the points (3,7) and (15,16) on a coordinate plane?

Answers

distance = Sqrt((x2-x1)^2 +(y2-y1)^2)


15-3 =12

16-7=9

12^2 = 144

9^2 = 81

144+81 = 225

square root of 225 = 15

 the distance is 15

Use the distance formula: [tex]distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

[tex]\sqrt{(15 - 3)^2 + (16 - 7)^2} \\ \\ \sqrt{12^2 + 9^2} \\ \\ \sqrt{144 + 81} \\ \\ \sqrt{225} \\ \\ 15[/tex]

So, 15 units is the answer.

Consider the equation 5/3v +4 +1/3v =8 What is the result of the equation after the first step in the solution

Answers

5/3v + 4 + 1/3v = 8
first step would be to simplify...
2v + 4 = 8 <==

Four times the complement increased by forty-six is the same as twice the supplement. find the measures of the angle, the complement, and the supplement

Answers

x = measure of anglecomplement: 90 -x
supplement: 180 - x

Four times the complement increased by forty-six = 4(90-x) + 46
twice the supplement: 2(180 - x)
so
Four times the complement increased by forty-six is the same as twice the supplement

 4(90-x) + 46  = 2(180 - x)
360 - 4x + 46 = 360 - 2x
                 2x = 46
                   x = 23

answer

measure of angle x = 23
measure of complement = 90 - 23 = 67
measure of supplement = 180 - 23 = 157

How do you subtract two negative numbers?

Answers

when you have 2 negative numbers you actually add the 2nd number to the first one

 example:

-4 - -2 =  becomes -4 + 2 = -2

A panel containing four ​on-off switches in a row is to be set. assuming no restrictions on individual​ switches, use the fundamental counting principle to find the total number of possible panel settings.

Answers

Four switches may be modeles as:

_ _ _ _, where you can put one of two marks (off or on) on any _.

So, the number of different ways will be 2 * 2 * 2 * 2 = 16

Answer: 16 possible settings.

The four vertices of an inscribed quadrilateral divide a circle in the ratio 1 : 2 : 5 : 4.
The four angles of the quadrilateral are °, °, °, and °, respectively.

Answers

Answer:

The four angles of the quadrilateral are 30°, 60°, 150°, and 120°, respectively.

Step-by-step explanation:

Given  : The four vertices of an inscribed quadrilateral divide a circle in the ratio 1 : 2 : 5 : 4.

To find : The four angles of the quadrilateral are °, °, °, and °, respectively.

Solution : We have given that  The four vertices of an inscribed quadrilateral divide a circle in the ratio 1 : 2 : 5 : 4.

Let the angle of the quadrilateral is x

Then all the  angles are  x  , 2x , 5x ,4x

Complete angle formed by circle is 360 °

Sum of all the angle are 360

x + 2x + 5x + 4x = 360 .

12 x = 360 .

On dividing both sids by 12.

x = 30 .

Then

2x =  60

5x = 5 * 30 = 150 .

4x = 4 *30 = 120 .

Therefore, The four angles of the quadrilateral are 30°, 60°, 150°, and 120°, respectively.

Answer:

for plato users the answers are 45,75,135,105

Step-by-step explanation:

A student must choose to participate in two different events during field day. There are four track events, two academic events, and six team sports events. What is the approximate probability that the student will choose to participate in two team sports?
0.114
0.227
0.273
0.545

Answers

Answer:

.227

Step-by-step explanation:

Answer:

0.227

Step-by-step explanation:

Use the graph below to answer the question.


What is the slope of a line that is perpendicular to the line in the graph?

Answers

(0,0)(-3,3)
slope = 3/-3 = -1
slope of a line that is perpendicular to the line in the graph = 1

answer
1

Answer:

Im working on it right now and its 1

Step-by-step explanation:

In the formula that gives the circumference of a circle, which quantity is multiplied by 2Ï€ ?


A. Diameter
B. Radius
C. Area
D. Circumference

Answers

The circumference of an object is the total length of the line that forms the object. For a circle, the formula is:

C = 2 π r

We can see that in the formula, what is multiplied by 2 π is the radius (r).

Therefore the answer to this is

B. Radius

find the GCF 12, 18, 24

Answers

12= 2*2*3

18= 2*3*3

24= 2*2*2*3

The GCF would be equal to the product of all common multiples.

2*3=6

Final answer: 6
Hi, your answer would be 6. Hoped I helped!!!!!!

A bat flies at an average speed of 32 kilometres an hour. At this speed, how far will it fly in 15 minutes?

Answers

filling in 20 characters just to answer with a pic

Final answer:

To find out the distance a bat will fly in 15 minutes at an average speed of 32 kilometers per hour, you multiply the speed by the time in hours (15 minutes is 0.25 hours). The bat will fly 8 kilometers.

Explanation:

To calculate how far a bat flies in 15 minutes at an average speed of 32 kilometers per hour, we need to convert the time into hours since the speed is given in kilometers per hour (km/h). 15 minutes is equal to 0.25 hours (since there are 60 minutes in 1 hour, so 15 minutes divided by 60 minutes per hour equals 0.25 hours).

We can then use the formula for distance which is:

Distance = Speed × Time

The average speed of the bat is 32 km/h, and the time is 0.25 hours.

Distance = 32 km/h × 0.25 h = 8 km

So, the bat will fly 8 kilometers in 15 minutes.

A rope 10 feet long is cut into two pieces. One piece is used to form a circle and the other used to form a square. Find a function representing the area of both square and circle as a function of the length of one side of the square.

Answers

10-x=C=2πr

(10-x)/(2π)=r

A=π(100-20x+x^2)/(4π^2)

A=(x^2-20x+100)/(4π)

...

x/4=s, x=4s  using this in the area of a circle we get:

A=(16s^2-80s+100)/(4π)

A=(4s^2-20s+25)/π

And of course the area of a square is s^2

A=(4s^2+πs^2-20s+25)/π

The functions representing the areas of the square and circle as functions of the length of one side of the square x are [tex]\[ A_s(x) = x^2 \][/tex] and [tex]\[ A_c(x) = \frac{(10 - x)^2}{4\pi} \][/tex] respectively.

Let's denote:

- [tex]\( x \)[/tex] as the length of one side of the square (in feet).

- [tex]\( 10 - x \)[/tex] as the length of the rope used to form the circle.

1. Area of the Square [tex](\( A_s \))[/tex]:

The area of a square is given by the formula: [tex]\( A_s = x^2 \)[/tex].

2. Area of the Circle [tex](\( A_c \))[/tex]:

The circumference of the circle, formed by the rope, is used to find the radius [tex]\( r \)[/tex] of the circle:

[tex]\[ \text{Circumference} = 2\pi r = 10 - x \][/tex]

Solving for [tex]\( r \)[/tex], we get: [tex]\( r = \frac{10 - x}{2\pi} \)[/tex]

The area of the circle is then given by the formula: [tex]\( A_c = \pi r^2 \)[/tex].

Substituting the value of [tex]\( r \)[/tex], we get:

[tex]\[ A_c = \pi \left(\frac{10 - x}{2\pi}\right)^2 \][/tex]

[tex]\[ A_c = \frac{(10 - x)^2}{4\pi} \][/tex]

3/8 of people at a fun fair were children 3/4 of the remaining people were men there were 140 more children than women how many people went to the fun fair

Answers

The fraction of children was 3/8
The remaining fraction was 1-3/8=5/8
the fraction of men was 3/4*5/8=15/32
the fraction of women=1/4*5/8=5/32
given that the there were 140 more children than women, the fraction represented by this is:
3/8-5/32
=7/32
thus the total number of people who were there was:
1/(7/32)*140
=640
The answer is 640

If​ (x,y) are the coordinates of a point p in the​ xy-plane, then x is called the​ _______ of p and y is the​ _______ of p.

Answers

The first coordinate of a point P is called the x-coordinate of P, 

and the second coordinate of a point P is called the y-coordinate of P.

So 

"x is called the​ ___x-coordinate____ of p and y is the​ ___y-coordinate____ of p."


Answer:

x-coordinate
y-coordinate
Final answer:

In a Cartesian coordinate system, the x-coordinate represents the horizontal position of a point, and the y-coordinate represents the vertical position of a point.

Explanation:

In a Cartesian coordinate system, the x-coordinate represents the horizontal position of a point, and the y-coordinate represents the vertical position of a point.

For example, in the point (3, 5), the x-coordinate is 3 and the y-coordinate is 5.

Together, the x and y coordinates specify the precise location of a point in the xy-plane.

Complete the general form of the equation of a sinusoidal function having an amplitude of 1, a period of pi/2 , and a vertical shift up 3 units.

Answers

Sinusoidal equations are trigonometric functions involving sine and cosine functions. Graphically, they look like wave patterns having amplitudes and periods. The general form of a sinusoidal equation is 

y = A sin(Bx + C) + D

where

A = amplitude
B = frequency
C = shift on starting angle
D = shift of wave on the y-axis

From the given problem, A = 1 and D = 3. There is no value for C because there is no mention of any shift in angle. About the frequency, you can obtain this by getting the reciprocal of the period. Thus, B = 2/π. The complete equation is

y = sin(2x/π) + 3

Answer:

y = sin(4x) + 3

Step-by-step explanation:

y = Asin(Bx + C) + D

A is amplitude = 1

B = 2pi/period = 2pi / (pi/2) = 4

C does not mention.

D: shift up or down = 3

=> y = sin(4x) + 3

Make a frequency distribution and find the relative frequencies for the following number set. Round the relative frequency to the nearest tenth of a percent. Some of the answers will be used more than once and some may not be used.

10 30 40 50 60 70
10 30 40 60 60 80
20 30 50 60 70 90
20 30 50 60 70 90
Number Frequency Relative Frequency
10 %
20 %
30 %
40 %
50 %
60 %
70 %
80 %
90 %

Answers

number......frequency.....relative frequency
10                  2                    2/24 = 8.3%
20                  2                    2/24 = 8.3%
30                  4                    4/24 = 16.7%
40                  2                    2/24 = 8.3%
50                  3                    3/24 = 12.5%
60                  5                    5/24 = 20.8%
70                  3                    3/24 = 12.5%
80                  1                    1/24 = 4.2%
90                  2                    2/24 = 8.3%
total :           24

At maximum speed, an airplane travels 2,400 miles against the wind in 6 hours. Flying with the wind, the plane can travel the same distance in 5 hours. Let x be the maximum speed of the plane and y be the speed of the wind. What is the speed of the plane with no wind?

Answers

x - y  = 2400/6 = 400        where x = speed of plane and y = speed of wind.

x + y =  2400/5 = 480          - flying with the wind

adding the 2 equations 
2x = 880
x = 440

Speed of the plane with no wind = 440 mph

Answer: The speed of the plane with no wind is 440 miles per hour.

Step-by-step explanation:

Let the maximum speed of the plane be 'x'.

Let the maximum speed of the wind be 'y'.

Since we have given that an airplane travels 2400 miles against the wind in 6 hours.

As we know that

Downstream is given by

[tex]x+y=\dfrac{2400}{6}=400--------------(1)[/tex]

Since we have also given that flying with the wind, the plane can travel the same distance in 5 hours.

As we know tha t

Upstream is given by

[tex]x-y=\dfrac{2400}{5}=480-------------------(2)[/tex]

We just need to find the speed of the plane with no wind.

Using the elimination method,

[tex]x+y=400\\\\x-y=480\\\\-----------------------------\\\\2x=880\\\\x=\dfrac{880}{2}\\\\x=440[/tex]

Hence, the speed of the plane with no wind is 440 miles per hour.

$1,100 at 8%, for 15 years, compounded annually. Total Amount = $ Interest Amount = $

Answers

The formula to find the total amount is
A=p (1+r)^t
A future value?
P present value 1100
R interest rate 0.08
T time 15 years
A=1,100×(1+0.08)^(15)
A=3,489.39

To find the interest amount the formula is
I=A-p
I=3,489.39−1,100
I=2,389.39

Final answer:

Compound interest plays a crucial role in determining the final amount of an investment over time, showcasing the power of compounding. In this scenario, with an initial amount of $1,000, an interest rate of 10.1%, and 47 years of compounding annually, the total interest earned would be $91,045.80.

Explanation:

Compound interest is calculated on the principal amount plus the interest earned over time. In this case, with an initial amount of $1,000, an interest rate of 10.1% compounded annually, and an end amount of $92,045.80 after 47 years, compound interest plays a significant role in determining the final amount.

To calculate the total interest earned over the 47 years, you subtract the initial principal amount of $1,000 from the end amount of $92,045.80. This gives you the total interest earned. In this scenario, the total interest earned would be $92,045.80 - $1,000 = $91,045.80.

Compound interest is crucial in understanding how investments grow over time, and it showcases the power of compounding when money is invested wisely and for a long period.

round 0.9144 to the nearest tenth of a yard

Answers

0.9 should be correct
hope this helps:)

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