Answers
Answer:
Step-by-step explanation:
For a right-angled triangle, given hypothesis of 13 and adjacent side of 5, the opposite side = sqrt (13^2 - 5^2)
= sqrt (169 - 25)
= sqrt (144)
= 12; as the side cannot be -12
By definition, tanΘ = opposite side / adjacent side
= 12/5
= 2 2/5 or 2.4
Answer:
\(\tan \theta=\boxed{\dfrac{12}{5}}\)
Step-by-step explanation:
Pythagoras Theorem
\(a^2+b^2=c^2\)
where:
a and b are the legs of the right triangle.c is the hypotenuse (longest side) of the right triangle.Find the missing side length (the side opposite angle θ) by using Pythagoras Theorem:
\(\implies a^2+b^c=c^2\)
\(\implies 5^2+b^2=13^2\)
\(\implies 25 +b^2=169\)
\(\implies b^2=144\)
\(\implies b=\sqrt{144}\)
\(\implies b=12\)
Trigonometric ratios
\(\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}\)
where:
θ is the angle.O is the side opposite the angle.A is the side adjacent the angle.H is the hypotenuse (the side opposite the right angle).From inspection of the given right triangle:
θ = θO = 12A = 5Substitute the given values into the tan ratio:
\(\implies \tan \theta=\dfrac{12}{5}\)
Related Questions
Jim's Camera shop sells two high-end cameras, the Sky Eagle and Horizon. The demands for these two cameras are as follows: DS = demand for the Sky Eagle, PS is the selling price of the Sky Eagle, DH is the demand for the Horizon, and PH is the selling price of the Horizon.
DS = 229 − 0.60PS + 0.35PH
DH = 269 + 0.10PS − 0.64PH
The store wishes to determine the selling price that maximizes revenue for these two products. Develop the revenue function for these two models. (Enter your answer in terms of
PS and PH.)
revenue =
Answers
The revenue is given by the product of the price and the demand function
The revenue function for Sky Eagle is RS = 229·PS - 0.60·PS² + 0.35·PS·PH.The revenue function for Horizon is RH = 269·PH + 0.10·PS·PH - 0.64·PH².Reasons:
The given parameters are;
The demand function for the Sky Eagle, DS = 229 - 0.60·PS + 0.35·PH
The demand function for the Horizon, DH = 269 + 0.10·PS - 0.64·PH
The above demand functions gives the quantity demanded
Therefore, the revenue function is given by the product of the price and the demand function as follows;
RS = PS × DS = PS × (229 - 0.60·PS + 0.35·PH) = 229·PS - 0.60·PS² + 0.35·PS·PH
The revenue for Sky Eagle RS = 229·PS - 0.60·PS² + 0.35·PS·PH
Revenue for Horizon is found as follows;
RH = PH ×(269 + 0.10·PS - 0.64·PH) = 269·PH + 0.10·PS·PH - 0.64·PH²
The revenue for Horizon, RH = 269·PH + 0.10·PS·PH - 0.64·PH²
Learn more demand function here:
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what is 3/2 divided by 1/8
helppp
Answers
Answer: 12
Step-by-step explanation:
The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.
which of the following is equivalent to x^2 -5x +6
Answers
Hello!
x² - 5x + 6
= (x² - 2x) + (-3x + 6)
= x(x - 2) - 3(x - 2)
= (x - 2)(x - 3)
-2 x + 4 =2 x - 4 solve .
Answers
Answer:
\(\sf{x = 2}\)
Step-by-step explanation:
Question type: solving equations with variables on both sides.
\(\textsf{This is a question with variables on both sides, to solve this we need to get the variable x }\)
\(\textsf{alone. (getting the x on one side)}\)
--------------------------------------------------------------
\(\sf{-2x~+~4~=~2x~-~4\)
Subtract 4 from both sides.
\(\sf{-2x~=~2x~-8\)
Subtract 2x from both sides.
\(\sf{-4x~=~-8}\)
Divide both sides by -4.
\(\bf{x~=~2\)
Therefore, x would be 2.
\(-jurii\)
Answer:
x=2
Step-by-step explanation:
What is $6.977 rounded to the nearest cent
Answers
Answer:
6.98
Step-by-step explanation:
You just round the seven up
Please someone help me I rlly don’t get this I’ll give you like 40 points
Answers
Answer:
Step-by-step explanation:
H(n)=91x(-1/7) n-1
do not know
Hope it helps the answer is the 2nd one have a great day
Determine the value of the ratio of 2:10
Answers
2/2=1
10/2=5
Therefore, 2:10=1:5
How is this solved a history class comprised of 3 female and 10 male students , if the instructor of the class randomly chooses 9 students from class for an oral exam what is probation of 2 female and 7 make students selected
Answers
Answer:
0.306
Step-by-step explanation:
Using binomial probability,
\(\binom{9}{2}(3/13)^2 (10/13)^7 \approx 0.306\)
Help please !!!! HELP #brainliest
Answers
Answer:
the fist number on the first one second on the seconded one and third on the third one
Step-by-step explanation:
The probability of no homework is .02. What is the probability of no homework 3 days in a row?
Answers
Answer:
The answer is 0.006667
Step-by-step explanation:
The answer is 0.06667 because .02 divided by 3 equals 0.006667.
arrange the fractions from the largest to the smallest circle 4/6,2/3,1/2
Answers
4/6 is equal to 2/3
1/2 is less than both of them, therefore we write it as mentioned above.
Solve for the exact solutions in the interval [0,2]
List your answers separated by a comma, if it has no real solutions, enter DNE.
![Solve for the exact solutions in the interval [0,2] List your answers separated by a comma, if it has](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/T4DZjcEt3TRBDPvOs0HF3QykR4WfDi8B.png)
Answers
The solutions to the trigonometric equation in this problem are given as follows:
θ = π/6.θ = 5π/6.θ = 7π/6.θ = 11π/6.What are complementary angles?Two angles are said to be complementary angles when the sum of their measures is of 90º.
For complementary angles, we have that the sine of one of the angles is the cosine of the other angle, hence in this problem we have that 2θ and θ are complementary angles.
Then the value of θ is obtained as follows:
2θ + θ = 90
3θ = 90
θ = 30º.
θ = π/6.
The equivalent angles, which are also solutions to the equation, are given as follows:
θ = 5π/6. -> second quadrant.θ = 7π/6. -> third quadrant.θ = 11π/6. -> fourth quadrant.More can be learned about complementary angles at brainly.com/question/98924
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The graph compares the weights in pounds of 100 dogs and cats that are brought in
to a veterinarian's office. Using the medians, how much more does a typical dog weigh than a typical cat?
Answers
Answer:20
Step-by-step explanation:this is wrong
Answer:
40
Step-by-step explanation:
subtract median of dogs and median of cats
what is
2/3 of 1/4 of x = 1360
Answers
Answer:
\( \boxed{ \bold{ \huge{ \boxed{ \sf{x = 8160}}}}}\)
Step-by-step explanation:
\( \sf{ \frac{2}{3} \times \frac{1}{4} \times x = 1360}\)
To multiply one fraction by another, multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term
\( \longrightarrow{ \sf{ \frac{2 \times 1}{3 \times 4} \times x = 1360}}\)
\( \longrightarrow{ \sf{ \frac{2}{12} \times x = 1360}}\)
\( \longrightarrow{ \sf{ \frac{1}{6} x = 1360}}\)
Solve for x
\( \longrightarrow{ \sf{x = 1360 \times 6}}\)
\( \longrightarrow{ \sf{x = 8160}}\)
Hope I helped!
Best regards! :D
Evaluate the following functions.
Help
Answers
And you do the same thing for the second equation except this has -1 for x so you get 2(-1)^2+4(-1)+9 which equals 2-4+9=7. Make sense? Hope this helps
Choose the standard form equation that equals the combination of the two given equations.4x+5=-4 and y-3=2A.x-y=14B.4x-y=-14C.4x-y=-4D.x-4y=-14
Answers
the standard form equation that equals the combination of the two given equations is 4x+5=-4 and y-3=2
How do you solve for standard form?
The standard form of a linear equation is Ax+By=C. To change an equation written in slope-intercept form (y=mx+b) to standard form, you must get the x and y on the same side of the equal sign and the constant on the other side. Use inverse operations to move terms.
learn more about of equation here
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At a sale this week, a desk is being sold for $536. This is 67% of the original price.
What is the original price?
Answers
Answer:
884.4
Step-by-step explanation:
Answer:
The original price is 895.12$
I haven't done percent in ages, lmk if you get it right
kudos to any other answer besides this
Step-by-step explanation:
f(3)= 5x^2 - 4x + 9
evaluate this quadratic function
Answers
Answer:
\(f(3) = 38\)
Step-by-step explanation:
Given the quadratic function
\(f\left(x\right)=\:5x^2\:-\:4x\:+\:9\)
Evaluating the quadratic function
\(f\left(x\right)=\:5x^2\:-\:4x\:+\:9\)
substitute x = 3
\(f\left(3\right)=\:5\left(3\right)^2\:-\:4\left(4\right)\:+\:9\)
\(f(3) = 45-16+9\)
\(f(3) = 38\)
Therefore,
\(f(3) = 38\)what is the area of the shaded area. Round to the nearest whole unit.
please help!!!
Answers
Answer:
69.53 or 70(depending on rounding)
Step-by-step explanation:
The squares area is (9*2)^2 which is 324.
The circles area is 9^2 pi or 254.47 approx.
Subtract and you get 69.53 or 70
Which of number below are whole numbers
Answers
Answer:
D and F
Step-by-step explanation:
Numbers such as 0,1,2,3 etc are Whole numbers
Answer:
Your answer is D and F
Step-by-step explanation:
because only 951 and 3 are the numbers with no points and whole numbers require this..
HOPE THIS HELPS YOU
PLS MARK AS BRAINLIEST
The class midpoint for the class 23 - 29 is
Answers
The midpoint is 26.
Midpoint in this scenario = mean
(23+29)/2 = 26
Answer:
-6
Step-by-step explanation:
please help me on this im confused please ty
Answers
The domain of the graph of the exponential function is (d) all real numbers
Calculating the domain of the graphFrom the question, we have the following parameters that can be used in our computation:
The graph of the exponential function
The rule of an exponential function is that
The domain is the set of all real numbers
This means that the input value can take all real values
However, the range is always greater than the constant term
From the graph, the constant term is 0
So, the range is y > 0
Read more about domain at
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the volume of a rectangular prism is 10 cubic feet. what could the dimensions of the prism be
Answers
Answer: 2x5x1, 1x10x1 (in any order) and any 3 multiples that make 10
Step-by-step explanation:
Answer:
There are multiple possible sets of dimensions for a rectangular prism with a volume of 10 cubic feet. Here are some possible solutions:
A rectangular prism with dimensions of 1 ft x 2 ft x 5 ft (length x width x height) would have a volume of 10 cubic feet, since 1 x 2 x 5 = 10.
A rectangular prism with dimensions of 2 ft x 1 ft x 5 ft (length x width x height) would also have a volume of 10 cubic feet, since 2 x 1 x 5 = 10.
A rectangular prism with dimensions of 0.5 ft x 1 ft x 20 ft (length x width x height) would also have a volume of 10 cubic feet, since 0.5 x 1 x 20 = 10.
A rectangular prism with dimensions of 5 ft x 1 ft x 2 ft (length x width x height) would have a volume of 10 cubic feet, since 5 x 1 x 2 = 10.
There are infinitely many other possible sets of dimensions for a rectangular prism with a volume of 10 cubic feet.
Does this equation represent direct proportion?
Answers
Yes, the equation y = 5x represents direct proportion.
What is a proportional relationship?In Mathematics, a proportional relationship produces equivalent ratios and it can be modeled or represented by the following mathematical equation:
y = kx
Where:
y and x represent the variables.k represents the constant of proportionality.In order to have a proportional relationship, the variables representing the each of the quantities must have the same constant of proportionality:
Constant of proportionality, k = y/x
Constant of proportionality, k = 5/1
Constant of proportionality, k = 5.
In conclusion, we can logically deduce that the given equation represents direct proportion.
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Complete Question:
Does this equation represent direct proportion?
y = 5x
Find the value of x in the figure.
Answers
Answer: x= 18
Step-by-step explanation:
90+25+3x+11= 180
126+3x=180
3x= 54
x= 18
3(18)+11
65
Members of a book club have 4 different novels to choose from each time they meet. Which of the following could be used to stimulate randomly choosing a novel?
Answers
Spinning a spinner with four equal sized sections and assigning a novel to each section.
Spinning a spinner with four equal-sized sections and assigning a novel to each section is the correct option to stimulate randomly choosing a novel. The spinner can be designed with each section representing one of the four novels
The spinner is spun to randomly select one of the novels. Since each section is equal-sized, each novel has an equal probability of being selected.
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The complete question Members of a book club have 4 different novels to choose from each time they meet. Which of the following could be used to stimulate randomly choosing a novel?
(a) Placing 6 marbles in a bag (3 red and 3 blue) and drawing one ball from the bag
(b) spinning a spinner with four equal sized sections and assigning a novel to each section
(c)Tossing a fair coin, where each of the outcomes represents a novel
(d) Rolling a number cube labeled 1-6, where each book is represented by 2 numbers
Solve using the tangent formula(real answers please)
Answers
Answer:
21.17
Step-by-step explanation:
tan= opposite/ adjacent
tan(36)= x/29
0.73= x/29
x= 21.17
A pound of rice has a mixture of two types of rice, each costing $10 and $30, if the average cost per is $24, what is the ratio of the different types of rice?
Answers
Answer:
3:7
Step-by-step explanation:
Let x = pounds of the $10 rice in the mixture
Let y = pounds of the $30 rice in the mixture
Total cost of the $10 rice = 10x
Total cost of the $30 rice = 30y
(10x + 30y) / (x + y) = 24
Solve this equation for y/x:
10x + 30y = 24(x + y)
10x + 30y = 24x + 24y
30y - 24y = 24x - 10x
6y = 14x
y/x = 6/14 simplify the fraction
y/x = 3/7
So, the ratio of the two different types of rice (y:x) is 3:7, meaning a pound of the rice mixture has 3 parts of the $30 rice to 7 parts of the $10 rice.
why do the hands on the clock form an angle?
Answers
Answer:
The entire clock measures 360 degrees. As the clock is divided into 12 sections. The distance between each number is equivalent to 30 degrees (360/12)
I hope this helps you!
Hi does anybody know the answer to this?
Answers
Answer:
(L)= 36 ft. 3/10
Step-by-step explanation:
Correct me if I'm wrong. Have a good day! :)
Answer:
28 ft
Step-by-step explanation:
50+50+33+33=166 <-- Perimeter of Mss Roberts
Mr Neils width is 1.1 * 50 = 55
166 = 55 + 55 +2l
56=2l
28 = l
the length is 28 ft.