Answers
Answer:
a
Step-by-step explanation:
The possible trigonometric function is option (C) [tex]sec \theta = \frac{3}{\sqrt{5} }[/tex] and [tex]tan \theta = \frac{-2}{\sqrt{5} }[/tex] is the correct answer.
What is trigonometry?Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.
For the given situation,
The trigonometric function, sin θ = -2/3
We know that [tex]sin \theta = \frac{opposite}{hypotenuse}[/tex]
So, opposite = -2, hypotenuse = 3
The other side of the right triangle adjacent side can be found by using the Pythagoras theorem,
[tex]adjacent=\sqrt{hypotenuse^{2} -opposite^{2} }[/tex]
⇒ [tex]adjacent=\sqrt{3^{2} -(-2)^{2} }[/tex]
⇒ [tex]adjacent=\sqrt{9-4 }[/tex]
⇒ [tex]adjacent=\sqrt{5}[/tex]
Now, [tex]cos \theta = \frac{adjacent}{hypotenuse}[/tex] and [tex]tan \theta = \frac{opposite}{adjacent}[/tex]
Then, [tex]cos \theta = \frac{\sqrt{5} }{3}[/tex]
[tex]sec \theta = \frac{1}{cos \theta}[/tex]
⇒ [tex]sec \theta = \frac{1}{\frac{\sqrt{5} }{3} }[/tex]
⇒ [tex]sec \theta = \frac{3}{\sqrt{5} }[/tex]
[tex]tan \theta = \frac{-2}{\sqrt{5} }[/tex]
Hence we can conclude that the possible trigonometric function is option (C) [tex]sec \theta = \frac{3}{\sqrt{5} }[/tex] and [tex]tan \theta = \frac{-2}{\sqrt{5} }[/tex] is the correct answer.
Learn more about trigonometry here
https://brainly.com/question/16965914
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Related Questions
A soccer team gets three points for a win, one point for a tie, and zero points for a loss. The team plays ten games and has three more wins than losses. What is the greatest possible number of points the team could have?
Answers
Answer: 19.
Step-by-step explanation:
The highest you can go is 6 and 3 because you can't do 7 and 4. 6 wins would add up to 18 points. The one game that is missing we can say could be a tie, which would add 1 point, making it 19 possible points.
Answer:
Highest number of wins and losses can only be 6 & 3 and if u take 7 & 4 as taking 7&4 will make total 11 and we know that there was only 10 games.
So we can conclude like this
Number of wins: 6
Number of losses: 3
Number of draws: 1
Thus the points will be, (6*3)+(3*0)+(1*1)
18+0+1
=19 points
What are the coordinates of the image of point T(2,4) over the transformation D(1/2,R), where R(6,-2) is the center. X= ? Y= ?
Answers
9514 1404 393
Answer:
T'(4, 1)
Step-by-step explanation:
The dilation transformation around a center not the origin is ...
T' = k(T -R) +R . . . . for dilation factor k and center R
This can be simplified to ...
T' = 1/2T -1/2R +R = 1/2T +1/2R = (T +R)/2
Using the given point values, we find the image point to be ...
T' = ((2, 4) +(6, -2))/2 = (8, 2)/2 = (4, 1)
The image point is T'(4, 1).
Jada’s teacher fills a travel bag with 5 copies of a textbook. The weight of the bag and books is 17 pounds. The empty travel bag weighs 3 pounds. How much does each book weigh? whats the equation not the answer
Answers
5×3=15
17+15=32
Step-by-step explanation:
3÷17=15
15+5=20
Answer:
Step-by-step explanation:
Is 0.88 bigger or smaller or equal to 0.178
Answers
hope i helped !
Answer:
0.88 is bigger than 0.178
Step-by-step explanation:
0.8 > 0.1
So you can assume 0.88 is bigger than 0.178
simplify
square roots.
Answers
Answer:
zy^5
Step-by-step explanation:
PLS HELP!!
The corresponding sides of triangles ABC and DEF are congruent. Which statements are always true for triangles ABC and DEF? Select all that apply.
A.) There is a sequence of rigid motions that carries ABC to triangle DEF.
B.) triangles ABC and DEF are congruent by side-side-side.
C.) triangles ABC and DEF are both equilateral triangle‘s by side-side-side.
Answers
Answer:
A and B are true
Step-by-step explanation:
Write the equation of the line of reflection in the following picture
Answers
Answer:
it is reflected in the x-axis so y=0
1.Write an equation that models the following verbal statement and show/explain how you know your translation is correct.
Five less than four times a number is equal to three times the number.
2. Alejandra stayed 3 nights in a hotel for a total of $254.91. If each night was the same price, what did Alejandra pay per night? Show your thinking, use units to label your answer!
Answers
Answer:
Step-by-step explanation:
4x-5 = 3x
help me please:) will very much appreciate it
Answers
2. 7/4
Here is my answer, hope to help you
what is Pythagorean triples
Answers
A Pythagorean triple consists of three positive integers a, b, and c, such that a2 + b2 = c2. Such a triple is commonly written (a, b, c), and a well-known example is (3, 4, 5). If (a, b, c) is a Pythagorean triple, then so is (ka, kb, kc) for any positive integer k.
Answer:
A pythagorean triplet is a set of three numbers which satisfies the pythagoreus theorum - ( a^2+b^2=c^2).
Example:
3, 4 and 5
3^2 + 4^2 = 5^2
9+ 16 = 25
I hope am right!
The function f(x) =5x coverts x nickels to pennies. Find a function that converts X Pennys to Nichols then convert 50 pennies to Nichols. 
Answers
Answer:
[tex]f'(x) = \frac{1}{5}x[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 5x[/tex] --- Nickel to Penny
Required
Determine the function that converts penny to nickel
This question implies that we determine the inverse of the function.
We have:
[tex]f(x) = 5x[/tex]
Represent f(x) with y
[tex]y = 5x[/tex]
Swap the positions of x and y
[tex]x = 5y[/tex]
Make y the subject by dividing both sides by 5
[tex]\frac{1}{5}x = \frac{5y}{5}[/tex]
[tex]\frac{1}{5}x = y[/tex]
[tex]y =\frac{1}{5}x[/tex]
Replace y with f'(x)
[tex]f'(x) = \frac{1}{5}x[/tex]
Hence, the function that converts x pennies to nickels is [tex]f'(x) = \frac{1}{5}x[/tex]
When Sam's little brother was born, he was 18 inches tall. Each year, he grows an average of 3 inches.
Answers
an aquarium has a length of 7/2 feet, a width of 4/3 feet and a height of 3/2 feet. what is the volume of the aquariam
Answers
Answer:
7
Step-by-step explanation:
V = l x w x h
=7/2 x 4/3 x 3/2
=84/12
=7 feet cubed
A radioactive substance decays at a continuous rate of 12% per year, and 90 mg of the substance is present in the year 2000. (a) Write a formula for the amount present, A (in mg), t years after 2000. MathPAD Response msnViewer_resp_str_c04q_go_2_006_1_svg ViewEdit (b) How much will be present in the year 2010
Answers
Answer:
A(t) = 90e^0.12t ;
299 mg
Step-by-step explanation:
General Continous growth rate equation :
A = Pe^rt
A = amount present, t years after year of initial amount.
Here,
P = 90 mg, amount in year 2000
r = rate = 12% = 0.12
t = years after 2000
Therefore,
A is written as ;
A(t) = 90e^0.12t
Amount present in year 2010 ;
t = 2010 - 2000 = 10
A(10) = 90e^0.12(10)
A(10) = 90 * e^1.2
= 90 * 3.3201169
= 298.81052
= 299 mg
Pepper Jackie decides her map of the youth center is too small.
She draws a new map of the youth center that is 3 times larger.
What is the scale of the new map?
Answers
Answer:
the scale factor is 3.
Answer:
The scale factor is 3.
Question 5 of 20
Which of the following triangles are right triangles? Check all that apply.
A. A triangle with side lengths 8, 15, 17
B. A triangle with side lengths 9, 12, 15
C. A triangle with side lengths 5, 12, 13
D. A triangle with side lengths 6 inches, 8 inches, 12 inches
Answers
Answer:
B. A triangle with side lengths 9 12 15
Step-by-step explanation:
9/3= 3
12/3= 4
15/3 = 5
A perfect right triangle is 3, 4, 5.
What can be said about a set of data with a standard deviation of 0? (This is a reading assessment question. Be certain of your answer because you only get one attempt on this question.) Choose the correct answer below. A. All the observations are the same value. B. All the observations are 0. C. For every positive value, there is a corresponding negative value (as in 4 and −4; 6 and −6).
Answers
Answer:
A.) All the observations are the same value
Step-by-step explanation:
One of the statistical measures used to determine the spread or variability of a dataset is the variance or standard deviation. The standard deviation determines how a set of value varies about the mean value.
Mathematically,
Variability or spread = mean + number of standard deviations
Hence, a standard deviation of 0 ; means they there is no variability in the dataset. Hence, a standard deviation of 0 means all observations are of the same value.
For a set of data with a standard deviation of 0, the correct option is:
A: "All the observations are the same value."
What is the standard deviation?
For a given set {x₁, x₂, ...} with N elements.
With a mean M, we define the standard deviation as:
[tex]S= \sqrt{\frac{\sum (x_i - M)^2}{N - 1} }[/tex]
Notice that, because we have a squared element in the sum, all the elements of the sum are positive. So if we have a single value of the set that is different than the mean, then the standard deviation will be larger than zero.
Then the only case where the standard deviation is zero is the case where all the elements of the set are equal to the mean of the set, and that only happens if all the elements of the set are equal.
So the correct option is A:
"All the observations are the same value. "
If you want to learn more about standard deviation, you can read:
https://brainly.com/question/15858152
Find the volume of the rectangular prism. 4 in 3 [in 4 in 4 in
Answers
Answer:
12
Step-by-step explanation:
What is the value (m2h6w4)3
Answers
Answer:
The answer is 144 mhw
Answer:
[tex]3m^{2} 3h^{6}3w^{4}[/tex]
Step-by-step explanation:
[tex]3(m^{2} h^{6}w^{4})\\3m^{2} 3h^{6}3w^{4}[/tex]
Weak battery is considered to be a part of routine
O A. wear and tear
O B. maintenance
O C. check
O D. inspection
Answers
Answer:
A. wear and tear
Step-by-step explanation:
A battery is generally expected to become weaker over time, as a consequence of the normal use of equipment. The presence of a weak battery would be found by a routine check, and replaced by routine maintenance.
The fact that a battery is weak would be considered the result of routine wear and tear
Question 11
Select all expressions that are equivalent to 9(6k + 3r).
A
15k + 121
B
54k + 27r
С
6(3k + Or)
D
3(18k +91)
Answers
Answer:
I think it is d
Step-by-step explanation:
so sorry if it wrong i tried my best
Answer:
b for sure im not sure if there are any more
ugh i have this question and im not sure if there are any other answers
Step-by-step explanation:
Students in a reading class have three options for their book project: making a brochure, writing a news article, or designing a computer presentation.
Answers
- brochure 4 blue chips
- article 6 yellow chips
- computer presentation 10 red chips
Work: you have to do the proportions
• 20 : 100= x : 20 ➡️ (20 • 20): 100= 4
• 30 : 100 = x : 20 ➡️ (30 • 20):100= 6
• 50 : 100 = x : 20 ➡️ (50 • 20) : 100: 10
Proof:
4 + 6 + 10= 20 chips
Answer:
4
6
10
Please give me brainliest, I really need it.
Explain 5 different ways you use Math in your everyday life.
This is a telpas thing btw
Answers
Answer:
School, Looking at what episode of anime I am on, Looking at the time, Looking at my calendar, and another is when I am doing brain teasers!
Step-by-step explanation:
Does this count?
Answer:
Time deltas
Step-by-step explanation:
can someone please help me with this. i will give you brainliest
Answers
Answer: I want to say it is the second one, but i'm not to sure.
Step-by-step explanation:
The perimeter of a triangle is 38 feet. One side of the triangle is 4 feet shorter than the second side. The third side is 6 feet longer than the second side. Find the length of each side.
Answers
Answer:
First side, a = 8 ft.
Second side = 12 ft.
Third side, c = 18 ft.
Step-by-step explanation:
Let the sides of the triangle be a, b and c respectively.
Given the following data;
Perimeter = 38ft
First side, a = b - 4
Third side, c = b + 4
The perimeter of a triangle is given by the addition of all its three (3) sides.
Mathematically, the perimeter of a triangle is given by the formula;
P = a + b + c
Substituting into the equation, we have;
38 = (b - 4) + b + (b + 6)
38 = 3b + 2
3b = 38 - 2
3b = 36
b = 36/3
b = 12ft
To find the first side, a;
a = b - 4
a = 12 - 4
a = 8ft.
To find the third side, c
c = b + 6
c = 12 + 6
c = 18 ft.
If the dimension in a room is 10 ft by 20 ft what’s the approximate in square meters
Answers
18.58
May Nilbin Be With You
Answer:
60.96 meters
Step-by-step explanation:
Multiply 10 by 20, multiply that answer by 0.3048
Nathan is going to invest in an account paying an interest rate of 6% compounded continuously. How much would Nathan need to invest, to the nearest ten dollars, for the value of the account to reach $1,200 in 8 years?
Answers
Answer:
731.48
Step-by-step explanation:
you take 6 percent form 100 percent with give 94 percent
then you times 1200 by 94 percent 8 times to get awnser
Answer:700
Step-by-step explanation:
f(x) =
=
Find f'(x) and f''(x).
+
EL
ALEHER
24
) (
f''(x) = {
Epe
Answers
To make things easier, first rewrite
f(x) = x / (x + 7/x) = x ² / (x ² + 7)
i.e. multiply f by x/x, which is valid because x can't be 0 anyway as it's outside the domain of f.
Now, by the quotient and chain rules, we get
f '(x) = ((x ² + 7) (x ²)' - x ² (x ² + 7)') / (x ² + 7)²
… = (2x (x ² + 7) - x ² (2x)) / (x ² + 7)²
… = (2x ³ + 14x - 2x ³) / (x ² + 7)²
… = 14x / (x ² + 7)²
f ''(x) = ((x ² + 7)² (14x)' - (14x) ((x ² + 7)²)') / ((x ² + 7)²)²
… = (14 (x ² + 7)² - (14x) (2 (x ² + 7)² (x ² + 7)')) / (x ² + 7)⁴
… = (14 (x ² + 7)² - (14x) (2 (2x) (x ² + 7)²)) / (x ² + 7)⁴
… = (14 (x ² + 7)² - 4x (14x) (x ² + 7)²) / (x ² + 7)⁴
… = 14 (x ² + 7)² (1 - 4x) / (x ² + 7)⁴
… = 14 (1 - 4x) / (x ² + 7)²
… = (14 - 56x) / (x ² + 7)²
Helpppppppp with Tuesday question 1 pleaseeeeeee
Answers
Answer:
k = 2.8
Step-by-step explanation:
Subtract 3.9 from both sides of the equation
k + 3.9 = 6.7
k + 3.9 - 3.9 = 6.7 - 3.9
k = 3.9 - 6.7
k = 2.8
Order 4/5, 1/4, 6/8, 5/9 from least to greatest
Answers
Answer:
1/4,5/9,6/8,4/5
Step-by-step explanation: