Assume that θ is an acute angle in a right triangle satisfying the given conditions. Evaluate the 5 remaining trigonometric functions. Sketch a triangle in the correct quadrant and label.

sec θ= 17/15
sin θ<0

Assume That Is An Acute Angle In A Right Triangle Satisfying The Given Conditions. Evaluate The 5 Remaining

Answers

Answer 1

Answer: See step by step. Replace the x with theta

Step-by-step explanation: Since sin is less than zero, and secant is positive. This means the trig values are in Quadrant 4.

We know that secФ=17/15. We need to find sin,cos,tan,csc, and cot.

We can find tangent by using the identity

[tex]tan^{2} (x)+ 1=sec^{2} (x)[/tex] where x is theta.

[tex]tan^{2} (x)+1=\frac{289}{225}[/tex]

[tex]tan^{2} (x)+\frac{225}{225} =\frac{289}{225}[/tex]

[tex]tan^{2}(x)=\frac{64}{225}[/tex]

tan x=[tex]\frac{8}{15}[/tex], Tangent in the fourth  quadrant is negative  so  the answer is instead

[tex]tan x= -\frac{8}{15}[/tex]

We can find cotangent by taking the recipocial of tan so

[tex]cot=-\frac{15}{8}[/tex]

We can find cos by taking reciprocal of sec remeber that cosine is positive in 4th quadrant so the answer is

[tex]cos =\frac{15}{17}[/tex]

We can find sin by doing quoteint identies.

[tex]\frac{sin x}{cos x} =tan x[/tex]

[tex]\frac{ sin x}{15/17} =-\frac{8}{15}[/tex]

[tex]sin x= -\frac{8}{17}[/tex]

To find csc, take reciprocal of sine.

[tex]csc=\frac{-17}{8}[/tex]


Related Questions

What are the x-intercepts of y = 4x^2 + 4x + 1?

Answers

Answer:

hope this helps:) have a good day

Answer:

-1/2 is the x vertex.

Step-by-step explanation:

(y = ax^2 + bx + c),

-(b)/2(a)

-(4)/2(4)

-4/8 = -1/2

-1/2 is x

Help me you will get the brain thing I need help with number 1

Answers

Answer:

A = (5, 4)

B = (4, 3)

C = (5, 2)

D = (6, 3)

Step-by-step explanation:

Before I do anything, I will write the figure's coordinates for ABCD

A = (2, 3)

B = (1, 2)

C = (2, 1)

D = (3, 2)

Now, a translation means adding and or subtracting the x and y coordinates within the ordered pairs.

3 units right means add 3 units to the value of coordinate x. Coordinate x will always be for any horizontal movement (left and right).

1 unit up means add 1 unit to the value of coordinate y. Coordinate y will always be for any vertical movement (up and down).

Make these adjustments to each ordered pair:

A = (2 + 3, 3 + 1)

A = (5, 4)

B = (1 + 3, 2 + 1)

B = (4, 3)

C = (2 + 3, 1 + 1)

C = (5, 2)

D = (3 + 3, 2 + 1)

D = (6, 3)

Unfortunately I cannot graph the points for you, but if you mark each ordered pair I've given and then connect them together with lines, it will be graphed.

ASAP PLEASE HELp!!! I WILL GIVE BRAINLEST!!!

Challenge-multistep:
Find the measure of arc AE

Answers

Answer:

Its 100

Step-by-step explanation:

I think <3 trust me on this shawty but not if its wrong

Mai hiked up a trail for 40 minutes. Name the time period where she gained elevation. PLEASE HELPPPPPPPP

Answers

22-26 minutes is where she hiked fastest

PLEASE ANSWER! 20 Points

What is the area of this figure?

Enter your answer in the box.

Answers

Answer:

area of the figure= 58.3ft²

Step-by-step explanation:

area of the figure= area of trapezoid+ area of a rectangle

area of the figure= [½(a+b)*height]+ (length*breadth)

area of the figure= [½(3+14)*3]+ (11*3)

area of the figure=25.3+ 33

area of the figure= 58.3ft².

Question 10 of 11 Find the measure of the exterior 1 60 252 O A. 95 OB. 85 OC. 35 O D. 120

Answers

Answer:

would help if u had a picture im assuming those numbers are a with shape

Help I need this now.

Answers

Answer:

I think Rose isn't correct.

Answer:

Rosa is incorrect because if we substitute b, for the number 4. The answer is not equal to 10.

Step-by-step explanation:

(3+9b)-2b=10

(3+9*4)-2*4=10

(3+36)-8=10

39-8=10

31=10

It is incorrect because the numbers are not the same.

Which expression is equivalent to 36a-12b?

3(6a-2b). 6(6a-2b). 3(6a+2b). 6(6a+2b)

Answers

Answer:

6(6a-2b)

Step-by-step explanation:

Answer:

6(6a-2b)

Step-by-step explanation:

if you multiply the 6 by what's in parenthesis you get 36a-12b

Equations and Expressions 1

Calculate if the value given for the variable is the solution or not.

6x-13=5 x=3


⅓(x+4)=20 x=48



4x+5.25=13.25 x=2



Solve

x/7=11


x-5=4



4x=20



x+3=5

Answers

DONT GO TO THE LINK IT MIGHT BE VIRUS OR SCARY OR TACKING THING BE SAFE

what is 2.1 divided by 1.488 rouded to the nearest tenth

Answers

Answer:

1.4

Step-by-step explanation:

1) 2.1/1.4888= 1.4111

2)1.4

Answer:

1.4

Step-by-step explanation:

2.1/1.488=1.41129032258

round to the nearest tenth

(remember 5 and above give it a shove, 4 and below let it go)

The volume of the trapezoidal prism is m?.

Answers

The volume of a trapezoidal prism is 471.5 m³.

What is a trapezoid?

An open, flat object with four straight sides and one pair of parallel sides is referred to as a trapezoid or trapezium.

A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases. The legs of a trapezium can also be parallel. The parallel sides may be vertical, horizontal, or angled.

The altitude is the measurement of the angle perpendicular to the parallel sides.

The area of a trapezoid is (1/2)×(sum of the two parallel sides)×height.

We know volume of a trapezoidal prism is [(1/2)×(b₁+b₂)×h}×H.

Therefore, The volume of this trapezoid is,

= (1/2)×(24 + 19)×21 m³.

= (1/2)×(43)×21 m³.

= 471.5 m³.

learn more about trapezoids here :

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A spinner is divided into an unknown number of equal-sized sections. Your friend spins it 100 times and tells you that it landed on section one 25 times. What is the best estimate of the number of sections the spinner is divided into? 4 25 100 400

Answers

Answer:

4

Step-by-step explanation:

the more sections there are the less of a chance the same section ould be landed on so many times. Its almost impossible to land on one of 400 25 times

Answer:

106,275,100

Step-by-step explanation:

you say if 100= 25 what about 4 25 100 400

=106,275,100

What is the effect of the b value in an exponential function? y = a* b^x


someone please help ive been asking and no one has answered

Answers

B is the starting point of the function. It is when x = 0 on the y axis.

solve
60000000+63636733-7373 ​

Answers

Answer:

your answer is 123629360

Step-by-step explanation:

60000000+63636733-7373 =123629360

i hope this helped

have a nice day,

mark brainliest if u like butterflys

I've been stuck on this for the past hour. Can someone tell me how to solve it?

Answers

Answer:

The answer is 2.5

Step-by-step explanation:

Your welcome! I sometimes get stuck on problems like you too for hours until I get it.

Answer:

Scale factor: 2.5

Step-by-step explanation:

Scale factor is the ratio between corresponding measurements. And a pre image is basically an (original image) while an image is the translated version of the original.

I'm not sure what the best way to explain my answer is, but you can either multiply or divide to find the answer.

4 x 2.5 = 10

8 x 2.5 = 20

10 x 2.5 = 25

5 x 2.5 = 12.5

10/4 = 2.5

20/8 = 2.5

25/10 = 2.5

12.5/5 = 2.5

Are these correct lol?

Answers

I'm sorry this isn't the answer, but I just want you to know that you are incredible and that I love you for you! You are special to everyone you meet, and should not change who you are. I know your life may be tough, but you are strong and can get through it!

Answer:

yes it is

Step-by-step explanation:

There are 753 students in a college. 419 female. What is the percentage of female?

Answers

419/753 x100=55.6% percentage of female

Please help I am stuck. This is due in one hour so please help. ​

Answers

Answer:

d

Step-by-step explanation:

d is correct 180-43=137

Answer:

D) m<4 = 137

Step-by-step explanation:

m<3 + 56  = 180

m<3 = 124

m<1 + 43 + 56 = 180

m<1 + 99 = 180

m<1 = 81

m<4 + 43 = 180

m<4 = 137

m<2 + <1 = 180

m<2 + 81 = 180

m<2 = 99

what is the percent of change from 90 to 18???

Answers

Answer:

5% decrease

Step-by-step explanation:

The percentage is 90 divided by 18 which gives you 7 so that you mulitple 7 x 18 = 179

Can someone help me with this Edginuity question?

Answers

100 inches times 12 1 minute 1 foot

If h(x) equals negative 7 (x minus 8 ) plus 2 find the value of h (negative 5)

Answers

Answer:

h = -7x - 11

Step-by-step explanation:

In the xy-plane, the graph of the equation y = x2 +2 intersects the x-axis in how many points?
O Zero
O One
Ο Two
O More than two

Answers

Answer:

0

Step-by-step explanation:

Here, we want to get the number of times the graph of the function intersects the x-axis

Mathematically we need to know the number of roots the function has

We can get this by the use of the discriminant

This is:

D = b^2 - 4ac

b is the coefficient of x which is 0 here

a is the coefficient of x^2 which is 1 here

c is the last number which is 2

So;

D = 0^2 -4(1)(2) = 0-8 = -8

the discriminant value is negative

This means there are no real roots

x-y plane is used for real numbers and thus since there are no real roots, the graph of the equation will not intersect any point on the x-axis

Nadia has £5 to buy pencils and rulers. Pencils are 8p each. Rulers are 30p each. She says “I will buy 15 pencils. Then I will buy as many rulers as possible. With my change, I will buy more pencils.” How many pencils and how many rulers does she buy?

Answers

Answer:

Total pencils: 17

Total rulers: 15

Step-by-step explanation:

"I will buy 15 pencils."

15 * 8p = £1.20

15 pencils

"Then I will buy as many rulers as possible."

£5 - £1.20 = £3.80

£3.80/30p = 12 remainder 20p

12 rulers

"With my change, I will buy more pencils.”

20p/8p = 2 remainder 4 p

2 pencils

Total pencils: 17

Total rulers: 15

Justin throw a football to his friend and the height of the football in meters above the ground after T seconds is modeled by f (t)=-4.9^2 + 30t+13 when did the football hit the ground

Answers

The football hits the ground at 6.53 seconds

The height function of the football is given as:

[tex]f(t) = -4.9t^2 + 30t + 13[/tex]

When the football hits the ground, f(t) = 0 i.e. the height of the football is 0.

So, we have:

[tex]-4.9t^2 + 30t + 13 = 0[/tex]

Using a calculator, we have:

[tex]t = \{-0.41, 6.53\}[/tex]

The value of time (i.e. t) cannot be negative.

So, we have:

[tex]t = 6.53[/tex]

Hence, the football hits the ground at 6.53 seconds

Read more about quadratic functions at:

https://brainly.com/question/11441586

please help. tap the photo to see the whole problem. thanks. ​

Answers

He didn’t multiply the equation by 1/2 in the second part so it threw his whole answer off. Hope this helps

The sum of two circles is 80 pi square meters. Find the length of the radius if one of them is twice as long as the other

Answers

Answer:

Length of Radius of large circle= 8

Lenght radius of first circle= 2

Step-by-step explanation:

THIS IS THE COMPLETE QUESTION

The sum of the areas of two circles is 80π square meters. Find the length of a radius of each circle if one of them is twice as long as the other.

What is the radius of the larger circle?

Area of a circle can be calculated by Below formula

A = πr^2............eqn(1)

Let ( X) = area of first circle

Y= the area of second circle

Rx= radius of first circle

Ry = radius of second circle

From the question, we know that

[X+ Y] = 80π .......eqn(2)

Substitute the radius formula for the area,

[π(Rx)^2 + π (Ry)^2] = 80π ......eqn(3)

But from the question, Radius of second circle is twice of the second one, then

Ry = 2Rx ..........eqn(4)

If we substitute eqn (4) into eqn(3)

[ π(Rx)^2 + π (2Rx)^2 = 80π

If factorize π out, then cancel it out

π[(Rx)^2 + π (2Rx)^2 = 80π

Then we have

(Rx)^2 + 4(Rx)^2 = 80

5(Rx)^2 = 80

(Rx)^2= 80/5

(Rx)^2= 16

(Rx)= 4

From eqn(4)

Ry = 2Rx

Ry= 2(4)

Ry= 8

Rx= 2 and Ry= 8

Hence, radius of first circle= 2

Lenght Radius of second circle= 8

There is a bag containing 10 red, 10 blue, and 10 yellow pieces of paper. Each paper color is numbered from 1 to 10. How would you express the probability that you select a blue piece of paper given that it has a number 10 on it?

A. P(blue)
B. P(10)
C. P(blue|10)
D. P(10|blue)

Answers

Answer:

D. P(10|blue)

Step-by-step explanation:

The correct expression for the probability of selecting a blue piece of paper given that it has the number 10 on it is:

C. P(blue|10)

What is probability?

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Here, "blue|10" means "blue given 10," which represents the conditional probability of selecting a blue paper given that the selected paper has the number 10 on it.

The formula for conditional probability is:

P(A|B) = P(A and B) / P(B)

In this case, A represents the event of selecting a blue piece of paper and B represents the event of selecting a paper with the number 10 on it.

We know that there are 10 blue pieces of paper and each color has 10 numbered pieces, so the total number of papers is 10+10+10=30.

Thus, the probability of selecting a paper with the number 10 on it is:

P(B) = 3/30 = 1/10

Out of the 10 blue pieces of paper, only one has the number 10 on it. Thus, the probability of selecting a blue piece of paper given that it has the number 10 on it is:

P(A and B) = 1/30

Therefore, the probability of selecting a blue piece of paper given that it has a number 10 on it is:

P(blue|10) = P(A and B) / P(B) = (1/30) / (1/10) = 1/3

Learn more about probability here:

https://brainly.com/question/30034780

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can someone please help me is it 65​

Answers

Answer:

Yes

Step-by-step explanation:

25 + 2(m-5)

25 + 2m - 10

25 + 50 - 10

75 - 10 = 65

(PLS PLS pls help)Find m

Answers

Answer:

44 degree

Step-by-step explanation:

180-140=40 degree

6×14+12=96

3×14+2=44

40+44+96=180

Twice the sum of a number and -6 equals -6 times the sum of the number and 4. Let n stand for the number. Solve for n.

Answers

Answer:

n = -18/7

Step-by-step explanation:

Represent the number with n.

Then:

n - 6 = -6(n + 4)

Performing the indicated multiplication, we get:

n - 6 = -6n - 24

Combining like terms results in 7n = -18, so n = -18/7

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