Answers
Answer:
see explanation
Step-by-step explanation:
Given
cotθ = [tex]\frac{4}{5}[/tex] = [tex]\frac{adjacent}{opposite}[/tex]
Use Pythagoras' identity to calculate the hypotenuse h
h² = 4² + 5² = 16 + 25 = 41 ( take square root of both sides )
h = [tex]\sqrt{41}[/tex]
θ is in quadrant III where sinθ < 0 and secθ < 0
sinθ = [tex]\frac{opposite}{hypotenuse}[/tex] = - [tex]\frac{5}{\sqrt{41} }[/tex] = - [tex]\frac{5\sqrt{41} }{41}[/tex]
cosθ = [tex]\frac{adjacent}{hypotenuse}[/tex] = - [tex]\frac{4}{\sqrt{41} }[/tex]
secθ = [tex]\frac{1}{cos0}[/tex] = - [tex]\frac{\sqrt{41} }{4}[/tex]
Related Questions
If x+y= -4 and xy=2, then find the value of x²+y²
Answers
Answer:
x² + y² = 12
Step-by-step explanation:
x + y = -4
xy = 2
x² + y² = (x+y)² - 2xy = (-4)² - 2(2) = 16 - 4 = 12
Xy=2
(x+y)^2= x^2+y^2+2xy
(-4)^2=x^2+y^2+2(2)
16 = x^2+y^2+4
x^2+y^2=16-4
Therefore x^2+y^2 = 12
please i need a helping hand
Jessie's mom gave her some money to go shopping. She has $100 to spend on new shirts at the store. The store Jessie chooses is having a sale; all shirts cost $10. The function T(s)=10s represents the total cost of the shirts, where s is the number of shirts purchased. What is the domain of T(s) in this context?
Question 9 options:
all non-negative integers that are multiples of 10
all whole numbers
all non-negative rational numbers
all non-negative integers less than or equal to 10
Answers
Answer:
T(s)'s domain is A
Hope This Helps!!!
Answer:
d
Step-by-step explanation:
the shirts are only 10 dollars so that means that the domain is all negative numbers that are either equal to or less than 10, not the multiples.
What are corresponding angles
Answers
Answer:
the angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.
Which of the following statements is NOT true?
ILL GIVE BRAINLIEST
Answers
Answer:
The answer to that is the ratios of the rise to the run for the triangles are equivalent
[tex]\sqrt{6}\:\times \sqrt{6}\:[/tex]
Answers
Answer:
6
Step-by-step explanation:
[tex]\sqrt{6} *\sqrt{6}[/tex]
[tex]\sqrt{6*6} \\\sqrt{6^2}[/tex]
6
what is h(6)?
PLS HELP I FAILED THIS TEST TWICE
Answers
Answer:
the answer should be b (14)
Answer: hydrogen 6
Step-by-step explanation:
..geometry is hell on earth send help also enjoy the drawing I made the describes my feelings toward geometry >:)
Answers
Answer:
Step-by-step explanation:
(2x + 3) times (5x + 6)
Answers
helpppp me please!!!! asapppppppo thank you!
Answers
Answer:
3
Step-by-step explanation:
=> y= log _5 125
=> y = log _5 5³
Using properties of log ,
=> y = 3 log_5 5
= > y = 3*1
=> y= 3
[tex]y = log_{5}(125) \\ = > y = log_{5}( {5}^{3} ) \\ = > y = 3 log_{5}(5) \\ = > y = 3 \times 1 \\ = > y = 3[/tex]
Answer:y = 3
Hope it helps.
Do comment if you have any query.
To make some additional money, Vanessa began to
walk her sister's dog in order to help the dog lose
weight. Each week, the dog lost 0.2 pounds of weight
from walking with Vanessa. If the dog's starting weight
was 40 pounds, find the number of weeks that it will
take for the dog to weigh 38 pounds.
write an equation and isolate the variable.
Answers
Answer:
10 weeks
Step-by-step explanation:
Initial weight: 40
1 week = 0.2 lbs lost
40 - 38 = 2 lbs lost (goal)
x = number of weeks
0.2*x = 2
0.2x = 2
x = 10
a. What iS the slope of the line that passes through (-2, 3) and (4, -5)?
Answers
Answer:
slope = - [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 3 ) and (x₂, y₂ ) = (4, - 5 )
m = [tex]\frac{-5-3}{4-(-2)}[/tex] = [tex]\frac{-8}{4+2}[/tex] = [tex]\frac{-8}{6}[/tex] = - [tex]\frac{4}{3}[/tex]
The organizers of a conference needs to prepare at least 200 notepads for the event
and have a budget of $160 for the notepads. A store sells notepads in packages of 24
and packages of 6.
24x + 6y > 200
This system of inequalities represent these constraints:
(16x + 5.40y = 160
Answers
The system of inequalities represent these constraints is 24x + 6y > 200 and 16x + 5.40y ≤ 160
Inequalities shows the non equal comparison of numbers or expressions.
Let x represent the number of packages of 24 notepads and y represent the number of packages of 6 notepads
Since the organizers need to do at least 200 notepads, hence:
24x + 6y > 200
Also, they have a budget of $160. Let us assume that each 24 package cost $16 and each 6 package cost $5.40, hence:
16x + 5.40y ≤ 160
The system of inequalities represent these constraints is 24x + 6y > 200 and 16x + 5.40y ≤ 160
Find out more at: https://brainly.com/question/25285332
vanillaor chocolate?? xD lol >:>
Answers
Answer:
Chocolate for sure XD
Step-by-step explanation:
Hope this helps!! lol
If angle 4 = 100, what is angle 6?
Answers
Answer: 100
Step-by-step explanation:
Because the two horizontal lines are parallel and diagonal splits them, 4 and 6 are congruent so they have the same angle.
4, 2, 8 and 6 all have the same angles.
1, 3, 5 and 7 all have the same angles as well.
ERROR ANALYSIS Describe and correct the error in identifying the terms, coefficients, and constants in the algebraic expression 2x2y
Answers
Given the algebraic expression, [tex]2x^2y[/tex], the error in the analysis shown in the diagram attached is the wrong listing of terms.
The correct analysis is:
Term: [tex]2x^2y[/tex]Coefficient: 2Constant: NoneRecall:
Given an expression, say, [tex]2x^2 + 4x + 5[/tex].
The expression has 3 terms, namely: [tex]2x^2, 4x, $ and 5[/tex]The coefficients are: 2 and 4.The constant is: 5Thus, we are given the expression, [tex]2x^2y[/tex],
The expression has only 1 term: [tex]2x^2y[/tex]
1 coefficient: 2
It has no constant.
Therefore, given the algebraic expression, [tex]2x^2y[/tex], the error in the analysis shown in the diagram attached is the wrong listing of terms.
The correct analysis is:
Term: [tex]2x^2y[/tex]Coefficient: 2Constant: NoneLearn more here:
https://brainly.com/question/4839601
PLEASE PLEASE HELP ME OUT
Answers
Answer:
It is 77 degrees
Step-by-step explanation:
Since line M and N are parralell, the angles are the same
Answer:
X=77
HOPE THIS HELPS
- Todo ❤️
Step-by-step explanation:
Alternative angle thingies are equal
The cylinder has a radius of 3 inches and a height of 9 inches. Find the volume of the
cylinder rounded to the nearest tenth.
Answers
Answer:
Volume = 254.3 inches². Step-by-step explanation: The formula for determining the volume of a cylinder is expressed as.Step-by-step explanation:
The measure of an angle is 137°. What is the measure of its supplementary angle?
Answers
Answer:
43°
Step-by-step explanation:
that is the measure of its supplementary angle
Answer:
43 degrees
Step-by-step explanation:
180 - 137 = 43
hope this helped!
do you guys like babymetal?
Answers
please help!!! i will make you brainliest!!
Answers
Step-by-step explanation:
Here's the answer, goodluck
solve pls brainliest
Answers
Answer:
Mixed Number: 5 [tex]\frac{7}{10}[/tex]
Improper Fraction:[tex]\frac{57}{10}[/tex]
Step-by-step explanation:
A mixed number is when you express the decimal as a fraction, 0.7 is the same as [tex]\frac{7}{10}[/tex], so 5[tex]\frac{7}{10}[/tex] is your answer.
An improper fraction is a fraction where the numerator is bigger than the denominator, to do this you multipy the whole number 5, which can be written as [tex]\frac{5}{1}[/tex], by [tex]\frac{10}{10}[/tex].
[tex]\frac{5}{1}[/tex]·[tex]\frac{10}{10}[/tex]=[tex]\frac{50}{10}[/tex]
Then add 0.7, or [tex]\frac{7}{10}[/tex].
[tex]\frac{50}{10}[/tex]+[tex]\frac{7}{10}[/tex]=[tex]\frac{57}{10}[/tex]
Would you please mark my answer brainliest if it helped you? :D
Simple interest
A. cannot be paid by credit unions.
B. cannot be expressed as a percentage.
C. is another name for compound interest.
D. is paid only on the original principal.
Answers
Step-by-step explanation:
option D is correct according to my understanding
hope this answer helps you dear! take care
The triangles are similar. What is the value of x? Enter your answer in the box. x =
Answers
Answer:
Value of x is used to consider unknown value. The letter “x” is commonly used in algebra to indicate an unknown value. It is referred to as a “variable” or, in some cases, a “unknown.” In x + 2 = 7, x is a variable. ... A variable need not be “x,” but might be “y,” "w," or any other letter, name, or symbol.
Given f(x)=2x+1 and g(x)=7-x. Find g(f(x)).
Answers
Answer:
f(g(x)) = 2(7 - x) + 1
Step-by-step explanation:
f(x) = 2x + 1
g(x) = 7 - x
The question in the picture itself says to find f(g(x)) so i'll find that instead
f(g(x)) = 2(7 - x) + 1
f(g(x)) = 14 - 2x + 1
f(g(x)) = -2x + 15
PLEASE HELP GIVING BRAINLIEST! :)
Answers
Answer:
10
Step-by-step explanation:
3a+b - 4
Let a =3 and b = 5
3(3) +5 -4
Multiply
9+5-4
Add and subtract
14-4
10
Answer:
10
Step-by-step explanation:
a = 3b = 5= 3a + b - 4
= 3(3) + 5 - 4
= (3 . 3) + 5 - 4
= 9 + 5 - 4
= 9 + 1
= 10
A bag contains 7 milk and 11 dark chocolates.
A sweet is selected at random.
What is the probability of choosing:
Answers
Answer and explanation:
Milk Chocolate would be 7/18
Dark Chocolate will be 11/18
Milk Chocolate is unlikely to be chosen
Dark Chocolate is likely to be chosen
Dark chocolate 11/18
write the equation of the line that passes through the points (3,1) and (-2,6) in slope intercept form
Answers
Answer:
y = - x + 4
Step-by-step explanation:
First find slope:
6-1/-2-3 = 5/-5 = -1
Then plug one point and slope into point slope form: y-y1 = k (x-x1)
Plug in (3, 1) and slope -1 --> y-1 = -1(x-3)
Simplify --> y - 1 = - x + 4
Then add 1 to both sides --> y = -x + 4
Determine which of the lines, if any, are parallel or perpendicular.
Line a: 4y - 12x = 20
Line b: 3y = -x + 2
Linec: y = 3x - 1
Answers
Step-by-step explanation:
ma=3,mb=_1/3, mc=3a and c are parallelb aree perpendicular to a and c11. Commercial jets fly between 30,000 ft and 36,000 ft. About how many hours of growing could
pass before the beanstalk might interfere with commercial aircrafts? Explain how you got your
answer
Answers
An exponential function is a function that increases rapidly as the time increases.
The number of hours that passes before the magical beanstalk interferes with commercial flight is approximately 9.384 hours.Reasons:
The function that gives the height of a beanstalk is presented as follows;
b(t) = [tex]3^t[/tex]
When the height is 30,000 ft., we have;
30,000 = [tex]3^t[/tex]
㏑(30,000) = t·㏑(3)
[tex]\displaystyle t = \mathbf{\frac{ln(30,000)}{ln(3)}} \approx 9.384[/tex]
The time it would take the beanstalk to grow 30,000 ft., t ≈ 9.384 hours
Similarly, the time it would take the beanstalk to grow to 36,000 ft. is found as follows;
[tex]\displaystyle t_{36,000} = \mathbf{\frac{ln(36,000)}{ln(3)}} \approx 9.55[/tex]
The time it would take the beanstalk to grow 36,000 ft., t ≈ 9.55 hours
The number of hours it will take the beanstalk to grow to 30,000 feet at
which it might interfere with commercial aircrafts is 9.384 hours.
Learn more here:
https://brainly.com/question/13917934
look at the example. how would the quotient change if the total number of seats was 3,200 instead of 320? explain
Answers
If the total number of seats is 3200 instead of 320, then the quotient will change by a product of 10
The dividends are given as: 3200 and 320
By comparing 3200 and 320, we have:
3200 > 320 i.e. 3200 is greater than 3203200 = 320 * 10 i.e. 3200 is greater than 320 ten timesQuotient is simply the result gotten from dividing two quantities.
This means that:
If the total number of seats is 3200 instead of 320, then the quotient will change by a product of 10
Read more about quotients at:
https://brainly.com/question/16134410
