Answer:
c Kayla is answer
Step-by-step explanation:
Since sine lies between-1 and +1 we have cosecant, reciprocal of sin lying always outside -1 and 1.
i.e. |cosec x|>1
For acute angle sine, cos , tan are positive
So cosec x >1 and similarly since cos x <1, sec x >1 always
But tanx varies between 0 and infinity for acute angles
Hence cot can take values from 0 to infinity
Hence the correct answer is that of Kayla
The cosecant and secant of an acute angle are always greater than 1, but the cotangent can be greater than 1, less than 1 or equal to 1.
The statement about cosecant, secant, and cotangent values that is correct is Kayla's: The cosecant and secant of an acute angle are always greater than 1, but the cotangent can be greater than 1, less than 1 or equal to 1.
What is the sine of an angle?In Trigonometry, the sine of an acute angle is a ratio of the length of an opposite side of a right-angled triangle to the length of its hypotenuse. Also, the sine of an angle generally lies between -1 and 1.
What is the cosecant (cosec) of an angle?In Trigonometry, the cosecant (cosec) of an acute angle is a ratio of the length of its hypotenuse to the length of an opposite side of a right-angled triangle. Thus, the cosecant of an angle is the reciprocal of the sine function and as such lies outside -1 and 1.
What is the cotangent of an angle?The cotangent of an acute angle is a ratio of the length of its adjacent side to the length of an opposite side of a right-angled triangle.
In conclusion, Kayla's statement about the values of cosecant, secant, and cotangent is correct.
Read more on cosecant here: https://brainly.com/question/23419192
Naomi has 50 red and white beads.the number of red beads is 1 more than 6 times the number of white beads. how many red beads does naomi have
Crystal estimated that repairs to her car would cost about $100. The cost of repairs was actually $175. Fill in the box with Crystal's percent error
percent error=100 times error/predicted
error=175-100=75
predicted=100
percent error=100 times 75/100=75
the answer si 75% error
Find the length of the hypotenuse of a right triangle with legs of lengths 12 ft and 16 ft answer
Answer:
Step-by-step explanation:
but what ab this one: Find the length of the hypotenuse of a right triangle with legs of 5 ft and 12 ft.
A right triangle in which one angle is the right angle and the two sides are perpendicular to each other. Hence, the length of the hypotenuse is [tex]20ft[/tex].
What s the right triangle?
A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly called a rectangle triangle, is a triangle in which one angle is a right angle, i.e., in which two sides are perpendicular.
Here, the lengths of the triangle are [tex]12ft[/tex] and [tex]16ft[/tex] .
As we know,
[tex]H^{2}=P^{2}+B^{2}[/tex] ..........[tex](1)[/tex]
Now, substituting the values in the equation [tex](1)[/tex], we get
[tex]H^{2}=(12)^{2}+(16)^{2}\\H^{2}=144+256\\H^{2}=400\\H=\sqrt(400)\\H=20ft[/tex]
Hence, the length of the hypotenuse is [tex]20ft[/tex].
To know more about the right triangle
https://brainly.com/question/2632981
#SPJ2
Can someone explain to me how to solve these ?
if 161 is 35% of students at school who play sports how many students are at school?
Abigail drives at an average speed of 60 miles per hour for 3 hours. The graph shows her distance versus time. Which statements are true? Check all that apply. As Abigail’s time increases, her distance increases. As Abigail’s time increases, her distance decreases. At 2 hours, Abigail has traveled 120 miles. At 1.5 hours, Abigail has traveled 100 miles. At 3 hours, Abigail has traveled 180 mile
The statements are to be checked whether they are true or not.
The true statements are:
As Abigail’s time increases, her distance increases.
At 2 hours, Abigail has traveled 120 miles.
At 3 hours, Abigail has traveled 180 mile
Abigail is driving at a speed of 60 miles per hour for 3 hours.
The function representing the situation will be
[tex]y=60x[/tex]
where,
[tex]y[/tex] is the distance in miles
[tex]x[/tex] is the time in hours
If time increases this means [tex]x[/tex] increases so, distance [tex]y[/tex] will also increase.
At 2 hours [tex]x=2[/tex]
[tex]y=60\times 2=120[/tex]
The distance traveled is 120 miles.
At 1.5 hours [tex]x=1.5[/tex]
[tex]y=60\times 1.5=90[/tex]
The distance traveled is 90 miles.
At 3 hours [tex]x=3[/tex]
[tex]y=60\times 3=180[/tex]
The distance traveled is 180 miles.
Learn more:
https://brainly.com/question/14238918
https://brainly.com/question/13044921
If 5 ounces is equal to 140 grams, then 2 pounds of pizza dough is equal to how many grams?
What’s the answer pleaseeeeeeeee
y^2 +6^2 = 12^2
y^2 +36 = 144
y^2 = 108
sqrt(108) = 10.392 = 6sqrt(3)
Answer is B 6sqrt(3)
Suppose you have 48 feet of fencing to enclose a rectangular dog pen. The function : A = 24x-x^2 , where x = width , gives you the area of the dog pen in square feet. What width gives you the maximum area? What is the maximum area ?
PLEASE HELP ASAP!! *if you can give explanation/work it would be great* if not that is okay ..
The width that gives the maximum area of the rectangular pen is 12 feet, and the maximum area is 144 square feet.
Explanation:To maximize the area of a rectangle with a fixed perimeter, you want to make the rectangle as close to a square as possible. This maximizes the area because it distributes the available fencing evenly among the sides, optimizing the area enclosed. The given function, A = 24x - x^2, represents the area of a rectangle with width 'x' and length 'L' where L = (48-2x) / 2.
Maximization or minimization of a function occurs at its turning point. For a quadratic function like ours, the maximum or minimum happens at the vertex. The x-coordinate of the vertex is given by -b/2a. So, in our function A = -x^2 + 24x (which is the same as 24x - x^2), a = -1, b = 24.
Substitution gives: x = -(24) / 2*(-1) = 12 feet. Therefore, the width that gives you the maximum area is 12 feet.
Substitute x = 12 into the function to find the maximum area: A = 24*12 - 12^2 = 288 - 144 = 144 square feet.
Learn more about Maximum Area here:https://brainly.com/question/16213025
#SPJ12
Mrs. hensen cataloged a group of incoming library books in 8 hours. mr. taylor can catalog the same number of books in 4 hours. mrs. phillips can catalog them in 6 hours. how long would it take if they all worked together?
What two numbers can you multiply to get 84?
A number is a multiple of 3 if and only if the number is odd
True or false
What is the common difference of the arithmetic sequence 1/5, 6/5 , 11/5 ,16/5 , ...?
PLEASE HELP 30 POINTS!!!!!!
how many times must 24 be added until the sum is 1500
Which equation can be used to solve for b?
A) tan(30°) = 5/b
B) tan(30°) = b/5
C) tan(30°) = 10/b
D) tan(30°) = b/10
In this exercise we want to calculate the value of angle B, so we have to:
Letter A
So knowing the tangent formula as:
[tex]tan(x) = opposite / adjacent[/tex]
Knowing some information given in the exercise such as:
the hypotenuse is the longest side of 10Side b is adjacent to the 30° angleSide 5 is opposite of the 30° angleSo we have:
[tex]tan(30)=5/b[/tex]
See more about triangles at brainly.com/question/25813512
The diagram shows triangle MNP. Which term describes point Q?
Answer:
(B) Incenter
Step-by-step explanation:
From the given figure, it can be seen that PMN is a triangle where MQ is the angle bisector of ∠NMP, PQ is the angle bisector of∠NPM and NQ is the angle bisector of ∠MNP.
Also, It is equally distant from the three line segments forming the sides of the triangle. Thus, By the definition of incenter, Q can be named as the incedntre of the given triangle PMN.
Since, the centroid, circumcenter and orthocenter does not satisfy the conditions given in the figure, thus Q can not be considered as centroid, circumcenter and orthocenter.
Hence, option B is correct.
Answer:
the answer is incenter
Step-by-step explanation:
took the apex quiz got it correct !
Find an equation of the line containing the point (3,3) and parallel to y = 2 x − 1 y=2x-1.
If I set a goal of signing up 30% of customers to receive emails. that means that if I speak to 130 customers today I need to collect email addresses from ?
Answer:39
Step-by-step explanation:
130+30%=39
Plz see picture and question attached
A bag contains 80 marbles: 40 are red, 20 are blue, and 20 are black. what is the probability of selecting a red or blue marble at random
Which linear system of equations does the matrix represent?
-3 5 | 15
2 3 | -10
The matrix represents the system of linear equations: -3x + 5y = 15 and 2x + 3y = -10.
Explanation:The matrix represents the system of linear equations. Each row corresponds to an equation and each column to a coefficient of the unknowns. So, the given matrix:
-3 5 | 15
2 3 | -10
Represents the system of linear equations:
-3x + 5y = 15
2x + 3y = -10
Where x and y are the unknown variables that we are trying to solve for.
Learn more about System of Linear Equations here:https://brainly.com/question/20379472
#SPJ2
Tanisha bought 4 bundled packs of comic books. The price of each pack was the same. After she bought the packs, her account balance showed a change of −$86.64. What would have been the change to Tanisha's account balance had she bought only 1 bundled pack of comic books?
A) 21.60
B) -21.60
C) 21.66
D) 21.66
Kim was walking down a rocky path for 4 minutes the election dropped steadily altogether it dropped 8 feet what was the chance in elevation per minute for the 4 minutes?
in 4 minutes it changed 8 feet
so 8/4 =2 feet per minute change
and since it dropped it would be a negative change so -2 feet per minute
Use a quadratic equation to find two real numbers that satisfies the situation. The sum of the two numbers is 2, and their product is –48.
To find two real numbers whose sum is 2 and product is -48, we form a quadratic equation x^2 - 2x - 48 = 0. Using the quadratic formula, we get two pairs of numbers (8, -6) and (-6, 8) that satisfy the given conditions.
Explanation:To find two real numbers that satisfy the given conditions, namely their sum being 2 and their product being –48, we can set up a system of equations or use a . Let's denote the two numbers as x and y. We know:
x + y = 2xy = -48We can express y in terms of x from the first equation: y = 2 - x. Substituting this into the second equation gives us:
x(2 - x) = -48
This simplifies to a quadratic equation:
x^2 - 2x - 48 = 0
Using the, x = (-b ± √(b^2 - 4ac)) / (2a), with a = 1, b = -2, and c = -48, we find the two possible values for x, which in turn gives us the corresponding values for y:
x = (2 ± √(4 + 192)) / 2
x = (2 ± √196) / 2
x = (2 ± 14) / 2
Therefore, the two solutions are x = 8 or x = -6. Since we were looking for two numbers, using x + y = 2, the corresponding y values are y = -6 and y = 8, respectively. Hence, the two pairs of numbers that satisfy the conditions are (8, -6) and (-6, 8).
Holes drilled several kilometers into Earth’s crust provide direct evidence about Earth’s interior in the form of a. seismic waves. b. rock samples. c. liquid iron. d. volcanic eruption. Please select the best answer from the choices provided A B C D
Answer:
b. Rock Samples
Explanation:
Rock samples are obtained by drilling with special drills into the substance.
So, holes drilled several kilometers into Earth's crust provide direct evidence about Earth's interior in the form of a rock samples.
What are the characteristics of a gas?
A. a definite shape but no definite volume
B. no definite shape but a definite volume
C. a definite volume and definite shape
D. no definite shape or definite volume
Answer:
D
Step-by-step explanation:
So the question says...
Suppose you have ∠SMB and m ∠SMB =125.35 °.
Part A: Determine the angle measure that is complement to ∠SMB, if possible. If ∠SMB does not have a complementary angle, then explain why it does not.
Part B: Determine the angle measure of the supplement of ∠SMB.
Part C: Determine the angle measure of the angle complement to ∠SMB’s supplement.
I’m stuck on this question so if anyone can help me with it that would be greatly appreciated. Thanks!
Part A: ∠SMB does not have a complementary angle
Part B: The angle measure of the supplement of ∠SMB is 54.65°
Part C: The angle measure of the angle complement to ∠SMB's supplement is 35.35°
The given angle is ∠SMB and m ∠SMB =125.35 °
For Part AComplementary angles are angles that sum up to 90°.
To determine the angle measure that is complement to ∠SMB, we will find the angles that adds up to ∠SMB to give 90°. Since ∠SMB is already greater than 90°, therefore, ∠SMB does not have a complementary angle.
For Part B.Supplementary angles are angles that sum up to 180°.
To determine the angle measure of the supplement of ∠SMB, we will find the angle that adds up to ∠SMB to give 180°. Let the measure of the angle be x, that is
x + 125.35° = 180°
∴ x = 180° - 125.35°
x = 54.65°
∴ The angle measure of the supplement of ∠SMB is 54.65°
For Part C
To determine the angle measure of the angle complement to ∠SMB's supplement, we will determine the measure of the angle that adds up to ∠SMB's supplement to give 90°. Let the angle be y
Then,
y + 54.65° = 90°
(NOTE: ∠SMB's supplement is 54.65°)
∴ y = 90° - 54.65°
y = 35.35°
∴ The angle measure of the angle complement to ∠SMB's supplement is 35.35°
Hence,
Part A: ∠SMB does not have a complementary angle
Part B: The angle measure of the supplement of ∠SMB is 54.65°
Part C: The angle measure of the angle complement to ∠SMB's supplement is 35.35°
Learn more here: https://brainly.com/question/9143526
Lines that never intersect are perpendicular True or False
Find the approximate value of the circumference of a circle with the given radius. Use = 3.14. Round your results to one more decimal than in the given radius. 4 inches C = 12.5 inches 12.6 inches 25.1 inches 25.2 inches
Answer:
[tex]25.1\ inches[/tex]
Step-by-step explanation:
we know that
The circumference of a circle is equal to
[tex]C=2\pi r[/tex]
we have
[tex]r=4\ in[/tex]
substitute
[tex]C=2(3.14)(4)=25.1\ in[/tex] -----> one more decimal than the given radius (nearest tenth)