A right triangle has side lengths 5 , 12 , and 13 as shown below. Use these lengths to find tanX , cosX , and sinX
Answers
Answer:
\($\text{sin}(x)=\frac{12}{13} $\)
\($\text{cos}(x)=\frac{5}{13} $\)
\($\text{tan}(x)=\frac{12}{5} $\)
Step-by-step explanation:
Consider:
\($\text{sin}(x)=\frac{\text{Opposite}}{\text{Hypotenuse}} $\)
\($\text{cos}(x)=\frac{\text{Adjacent}}{\text{Hypotenuse}} $\)
\($\text{tan}(x)=\frac{\text{Opposite}}{\text{Adjacent}} $\)
I will apply adjacent side to angle \(x\) as 5. and opposite side to angle \(x\) as 12.
So,
\($\text{sin}(x)=\frac{12}{13} $\)
\($\text{cos}(x)=\frac{5}{13} $\)
\($\text{tan}(x)=\frac{12}{5} $\)
tan x 5
12
sin x 5
13
cos x 12
13
this is the correct answer
Related Questions
At a recent football game of 8,450 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Relish Chili
54 36 60
Based on the data in this sample, how many of the people in attendance would prefer ketchup on a hot dog?
4,225
3,380
3,127
3,042
Answers
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Answer:
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Step-by-step explanation:
Find the quotient: 0.21 ÷ 7 = ___. Explain how the strategy you use to solve this problem relates to a strategy you would use to solve a problem with only whole numbers.
Answers
Answer:
The answer would be .03. How I solved the problem is I moved the decimal of .21 two places to the right resulting in 3. Then I moved the decimal back after getting the answer resulting in .03
Step-by-step explanation:
A hexagon is graphed on the coordinate plane below. Which side is 4 units long? On a coordinate plane, point F is (negative 2, 4), point G is (2, 4), point H is (4, 0), point J is (4, negative 6), point K is (negative 4, negative 6), and point L is (negative 4, 0). GH FG LK KJ
Answers
Answer:
fg
Step-by-step explanation:
Write the equation of the line in slope-intercept form using y=mx+b
Answers
Answer:
y = -1/2x -7
Step-by-step explanation:
. The slope of the line (rise over run) goes down so it's negative and it you go down (bc it's negative slope) 1 and go over 2 so it would be -1/2
. B stands for the y intercept so it would be -7 because the line goes through -7 on the vertical line.
Rational function / Adding
Please draw steps and show answer
Answers
Answer:
(6x² +20x -5)/(x² +6x +8)
Step-by-step explanation:
You want the sum of (5x)/(x+2) and (x² -5)/(x²+6x+8).
Common denominatorEach term can be expressed with the same denominator. Then the numerators can be added.
\(\dfrac{5x}{x+2}+\dfrac{x^2-5}{x^2+6x+8}=\dfrac{5x(x+4)}{(x+2)(x+4)}+\dfrac{x^2-5}{(x+2)(x+4)}\\\\\\=\dfrac{5x^2+20x+x^2-5}{(x+2)(x+4)}=\boxed{\dfrac{6x^2+20x-5}{x^2+6x+8}}\)
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The bank does not charge a fee for cashing checks as long as members keep a balance, b, of at least $500 in their checking account. Write an inequality that represents this situation using “b”.
RULEZ:
1. NO LINKS
2. NO FAKE ANSWERS: DNIHXJNGSNLJS
3. First Correct Answer Will get Brainliest
4. Answer if u are sure you know that you tried to solve it
Thanks For Helping
Answers
Answer:
b ≥ 500
Step-by-step explanation:
since the balance has to be at least 500, b has to be grater than or equal to 500, so b ≥ 500
PLZ HELP IM TIMED! Mr. Jones wants to buy 6 tickets to a play. Each ticket costs $10. Mr. Jones has $45 in his pocket.
How much more money does he need to buy all 6 tickets?
Answers
Answer:
$15 because 6×10=60 60-45=15
Jerry climbed 210 feet in elevation.He then went down 300 feet.What integer represents his total change in elevation?
Answers
Answer:
-90 feet cause it’s 210 - 300 = -90
Answer:-90
Step-by-step explanation:
210-300=-90
HEEELLPPPPP QUICKK!!!!!
Answers
Answer: 75%
Step-by-step explanation: most numbers seem to repeat so it might happen more often
please write a function for the points (1/3,0) (-2 3/4,0) and (0,-5) and explain the steps.
thank you!
Answers
The function for the points are y = -15x - 5
How to determine the functionFrom the information given, we have that;
The points are;
(1/3,0) (-2 3/4,0) and (0,-5)
Using the point-slope form of a linear equation, we have;
y - y₁ = m(x - x₁)
Such that;
m is the slope of the liney - y₁ and (x - x₁) are the pointsUsing (1/3, 0) and (0, -5), we have that the slope is;
m = (0 - (-5))/0 -1/3)
expand the bracket
= 5 / (-1/3)
= -15
Now, take any of the given points and substitute the values
Using (1/3, 0), we get;
y - 0 = -15(x - 1/3).
y = -15x - 5.
Learn more about functions at: https://brainly.com/question/25638609
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The function for the points solved by (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)
We have given the points:
(1/3,0) (-2 3/4,0) and (0,-5)
Using the formula of linear equation
\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)
Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)
that is 1/3 = \(a\), 0 = \(a_{1}\) and
0 = \(b\), -5 = \(b_{1}\)
\(x\) refers to the slope of line (take any variable)
Now for finding the value of \(x\),
\(x=a-a_{1}/b-b_{1}\)
inserting the values,
\(x=[0-[-5]]/[0-1/3]\\x= -15\)
Substitute the value of \(x\) in the equation
\(a-0=-15[b-1/3]\)
By simplifying the equation, we get
\(a=-15b-5\)
To know more about functions and points:
https://brainly.com/question/30721594
Please help mee! Thanks!!
Answers
Answer:
1. A 2. D
Step-by-step explanation:
you need a rectangle, go across from point L until you're over point O. Then you can count how many unit it took to get over point O.
7/r+2 to the power of 3 +s/3+11
Answers
Answer:
A, C
Step-by-step explanation:
When terms are added, the result is called a sum. (A)
When values are divided the result is called a quotient. (C)
__
The coefficient of s is 1/3.
The term 2³ is a constant. There is no variable in this term. The "3" is called an "exponent."
What is the value of the expression shown?
|7|
A) –7
B) 7
C) – 1/7
D) 1/7
Answers
You have a pizza with diameter 12
2
3 in., and a square box that is 12.65 in. across. Write 12
2
3 as a decimal. Can you fit the pizza inside the box?
What is the decimal expansion for 12
2
3?
A.12.6
B.12.65
C.12.6
D.12.66
pls help me
Answers
Answer:
D is the right choice and no you cannot fit the pizza inside the box.
Step-by-step explanation:
D is the answer because to turn 2/3 into a decimal you would divide 2 by 3 and the answer you would get would be 0.66666666666...You would then add 12 to the answer and get 12.6666... Once you get this answer you would round it to the hundredths to get 12.67 but since that is not an option you could use D, 12.66 inches.
Answer:
I believe the answer is D.
Step-by-step explanation:
I really need help like ASAP if possible! Giving 50 points!
Answers
Answer:
13. $18.60
14. $15.79
Step-by-step explanation:
13.
Jeff starts off with $46.18
He then gives half of his money to his brother (so divide starting money by 2)
46.18 / 2 = 23.09
He now has $23.09
He then buys two donuts for $0.75 each ( 0.75 * 2 = 1.50 ) and a cup of coffee for $2.99 ( so he spent a total of 4.49 ) so we then subtract 4.49 from 23.09
23.09 - 4.49 = 18.6
He had $18.60 left over
14. 5 friends split a 65.20 bill at a restaurant
65.20 / 5 = 13.04
they also each left a $2.75 tip
13.04 + 2.75 = 15.79
They each payed $15.79
Answer: Jeff has $18 dollars and 6 cents or $18.6
Step-by-step explanation:
Half of $46.18 is $23.09. Then if he bought two donuts and each donut cost $0.75 then you plus $0.75 + $0.75 = 1.5. You then minus $ 1.5 from your current $23.09 dollars, which will equal $21.59. You have to minus the coffe amount which will is $2.99 . You minus $21.59 - $2.99 =$18.6.
4. At Rory’s school, students must join one after-school club. Based on the data in Graph #2, which club attracted about 30% of students?
A. yearbook
B. art
C. drama
D. hiking
E. running
F. science
5. Approximately What percent of students chose not to join the yearbook club?
A. 15%
B. 30%
C. 75%
D. 85%
E. 90%
6. About what percent of students joined the art club?
A. 30%
B. 25%
C. 20%
D. 15%
E. 5%
Answers
Determine whether each equation is an identity or whether it has no solution.-3(2x+1)=2(-3x-1) help is this a no solution or infinite
Answers
Answer:
No solution.
Step-by-step explanation:
Distribute.
-3(2x + 1) = 2(-3x - 1)
-6x - 3 = -6x - 2
Combine like terms.
-6x - 3 = -6x - 2 add 3 to both sides
-6x = -6x + 1 add 6x to both sides
0 = 1 this is false.
Because we ended up with a false equation, there is no solution to this equation.
Answer:
no solution
Step-by-step explanation:
Perform the indicated multiplication, using the distributive property.
-3(2x+1)=2(-3x-1) becomes -6x - 3 = -6x - 2
This has no solution because -3 is never equal to -2.
37+6.50w 9+8.25w
Help please show work
Answers
37 + 9
6.50w + 8.25w
48 +14.75W
37+9
6.50w+8.25w
Next add the terms:
46
14.75w
Final Answer: 14.75w + 46
The pool has a diameter of 5 feet and a height of 3 feet
Answers
Answer:
what are you asking
Step-by-step explanation:
cool?
Question: The pool has a diameter of 5 feet and a height of 3 feet
Answer:
You would Multiply 5x3=15.
Hope this Helps!
help me with these two!
Answers
Answer:
A
\( \frac{2 + 3x}{7x} \)
B
\( \frac{8}{y} \)
Step-by-step explanation:
A
\( \frac{2}{7x} + \frac{3x}{7x} = \frac{2 + 3x}{7x} \)
B:
\( \frac{5}{y} + \frac{3}{y} = \frac{5 + 3}{y} \)
\( = \frac{8}{y} \)
Use a number line to order the numbers from least to greatest.
Answers
Assign the numbers to the number line in the following order:
2.15=2.15
220%=2.2
9/4=2.25
*2.15* is easy enough to place as it is already in decimal form. However, the other 2 options need to be converted to decimals in order to be placed. We have the fraction 9/4 and percentage 220%. 9/4 can either be simply divided on a calculator or turned into the mixed fraction 2 and 1/4, which is *2.25*. Finally, we know that converting a decimal to a percentage we multiply the decimal by 100. Therefore, to convert a percentage to a decimal we divide 100 or move the decimal to the left 2 places. With this conversion rule, 220% transforms to *2.2* and we have the third and final number for our number line. Arranging these three numbers from least to greatest:
2.15, 2.2, 2.25
if 4/4 is 1 then 9/4 is 2 whole with 1/4 left
220%=2.2 and 2.15 is still 2.15
The aquarium is 2 1/2 miles from her hotel. She walks 1/4 to the bus stop. Takes the bus for 1 3/4 miles and walks the rest of the way. How far did she walk?
Answers
Answer:
2/4
Step-by-step explanation:
Change the 2 1/2 to 2 2/4
now subtract 1/4 from 2 2/4 leaving 2 1/4
Now subtract 1 3/4 from 2 1/4 in which you get 2/4
which is the answer :)
If xx and y vary directly and y is 21 when x is 7, find y when x is 5
Answers
Answer:
y = 15
Step-by-step explanation:
We need to solve for k
y = x
21 = 7k Divide both sides by 7 to solve for k
3 = k
y = xk
y = 5(3)
y = 15
Answer: y = 15
Step-by-step explanation:
Please help me fast! I will give brainly
This is the question,
YOU BE THE TEACHER Your friend says that because of the order of operations, the expressions are equivalent. Is your friend correct?
10-(5x2)+7 or 10-5x2+7
Yes or No
And Explain the answer
Answers
Answer:
He's correct.
Step-by-step explanation:
As long as there is no change in sign of the variables.
Help with this please.
Answers
Answer: look at the image for the answer and the explanation
Step-by-step explanation:
-8/15k = -4 can't find this anywhere
Answers
Answer:32/15
Step-by-step explanation:
please help,................
Answers
Answer:
Step-by-step explanation:
Whats wrong
Here is the second page!
Answers
Answer:
Step-by-step explanation:
Hope this helped a bit and i will figure out 6
2. 5/8 ounces yeast
3. 5/6 cup of powdered milk
4. 15 Tablespoons butter
5. 7 and 1/2 cups more bread flour than wheat flour (8 3/4 cup - 1 1/4 cup)
6.multiply by half ( half of 2/8 is 1/8 so that equals 3/8
The spinner is divided into 8 congruent sections.
After 96 spins, how many times would Tiffany expect the spinner to land on a color section beginning with the letter "B"?
Answers
Answer:
48
Step-by-step explanation:
96/8=12*4=48
Here is the picture for my most recent question.
Answers
Answer:
what is it asking 4
Step-by-step explanation: