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
Answers
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
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
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
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
Can someone help me with this Edginuity question?
Answers
Mai hiked up a trail for 40 minutes. Name the time period where she gained elevation. PLEASE HELPPPPPPPP
Answers
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)
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
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 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
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
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
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.
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.
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
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
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
what is the percent of change from 90 to 18???
Answers
Answer:
5% decrease
Step-by-step explanation:
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
#SPJ5
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.
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
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:
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:
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
(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
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 :
https://brainly.com/question/8643562
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There are 753 students in a college. 419 female. What is the percentage of female?
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please help. tap the photo to see the whole problem. thanks.
Answers
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
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
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
