Sin 0 = -8/17 and cos 0 = 15/17 find tan0
Answers
Answer:
Step-by-step explanation:
Givens
sin(theta) = - 8/17
cos(theta)= 15/17
Tan(theta) = ?
Comment
Without using the Pythagorean Theorem, you could simply use tan(theta) = Sin(theta) / cos(theta)
Tan(theta) = sin(theta) / cos(theta)
Tan(theta) =[tex]\dfrac{\dfrac{-8}{17} }{\dfrac{15}{17} }[/tex]
Now turn the bottom fraction upside down and multiply.
Tan(theta) = [tex]\dfrac{-8}{17}*\dfrac{17}{15} = \dfrac{-8}{15}[/tex]
Answer Tan(theta) = -8/15
Related Questions
Which expression is equivalent to (1/^y)-1/5
Answers
Answer:
5-y/5y
Sorry Im not to sure but maybe this will help?
Step-by-step explanation:
Can u help me pls i will be putting some more problems
look the image
Answers
Step-by-step explanation:
So here...two triangle is measured in 78° and 30° ..here to find the value of third angle...
we need to subtract 180° from the sum of 78° and 30° ...cause the sum of all angle of triangle is 180° ..
x + 78° + 30° = 180°
x + 108° = 180°
x = 180° - 108°
x = 72°
hence the value of third angle is 72°....
Noah borrowed $5000 from the credit union for 180 days. The interest rate is 11.4% per year. How much must Noah pay to the credit union after 180 days?
Answers
The amount that Noah pays to the credit union after 180 days will be $5143.85.
What is compound interest?Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.
We know that the compound interest is given as
A = P(1 + r)ⁿ
Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.
We have
P = $5,000
r = 0.114 / 12 = 0.0095
n = 3
A = 5000(1 + 0.114)³
A = $5143.85
More about the compound interest link is given below.
https://brainly.com/question/25857212
#SPJ1
6. Use the following matrices to answer the questions. (2 points each)
5 -8
2 -6
-8
-2 3
A
외
B =
[4
18] c- [5 5] -
C=
9 1
03
9
1
a. Is the operation E + C possible? Circle YES or NO
If yes, state the dimensions of the answer:
b. Is the operation B + C possible? Circle YES or NO
If yes, state the dimensions of the answer:
c. Is the operation E. D possible? Circle YES or NO
If yes, state the dimensions of the answer:
d. Is the operation D E possible? Circle YES or NO
If yes, state the dimensions of the answer:
e. Is the operation A D possible? Circle YES or NO
If yes, state the dimensions of the answer:
1
-1 10
E
11
7 -1 0
Answers
Answer:
its a such a hard questions i think you should ask to you're teacher ?
Are these numbers rational or irrational? -7 √10 (square root of 10) √16 (square root of 16) 52% 1.235 1. Rational 2. Irrational please answer quickly I need to get this test done
Answers
Answer:
-7, rational
sqrt 10, irrational
sqrt 16 = 4, rational
52% = 0.52, rational
1.235, rational
[tex]\text{A rational number is a real number that is in the form of}~ \dfrac pq,\\\\\text{where p and q are integers and}~ q \neq 0\\\\\text{The real numbers that cannot be expressed as the ratio of two integers}~ \\\text{ are called Irrational numbers.}\\\\-7 = \dfrac{-7}1 \\\\\text{So}~ -7 ~ \textbf{is rational.}\\\\\\\sqrt{10} ~ \text{is irrational because 10 is not a perfect square.}\\\\\text{So}~ \sqrt{10}~ \textbf{is irrational.}\\\\\\[/tex]
[tex]\sqrt{16} = \sqrt{4^2} = \left(4^2 \right)^{\tfrac 12} = 4 = \dfrac 41\\\\\text{So,}~ \sqrt{16}~ \textbf{is rational.}\\\\\\52\% = \dfrac{52}{100}\\\\\text{So,}~ 52\%~ \textbf{is rational.}\\\\\\1.235 =\dfrac{1235}{1000}\\\\\text{So,}~1.235~ \textbf{is rational.}[/tex]
The functions f(x) and g(x) are shown on the graph.
Using f(x), what is the equation that represents g(x)?
g(x) = log3(x) – 4
g(x) = log3(x) + 4
g(x) = log3(x – 4)
g(x) = log3(x + 4)
Answers
We can see that g(x) is a translation of 4 units to the left of f(x), then:
g(x) = log₃(x + 4).
How to get the equation that represents g(x)?
Here we can see that g(x) is a shift of f(x). Is clear that the asymptote of g(x) is 4 units to the left of the asymptote of f(x), so we can say that g(x) is a shift of 4 units to the left of f(x).
Remember that for a given function f(x), an horizontal shift of N units is given by:
g(x) = f(x + N).
If N is positive, the shift is to the left.If N is positive, the shift is to the right.Then a shift of 4 units to the left is written as:
g(x) = log₃(x + 4).
Then the correct option is the last one.
If you want to learn more about translations:
https://brainly.com/question/24850937
#SPJ1
In the braces below, list all subsets of the set {6, 7, 8).
Answers
(A+1)/a = y make a the subject of this equation
Answers
you’re welcome
k5500 is invested for a period of 4 years in a savings account. for the first year , the investment grows at a simple interest rate of 11% per annum and then at a rate of 12.5% per annum compound and quarterly for the rest of the period. Determine the value of the investment at the end of the 4 years
Answers
manyy is really short time samma basyo is really an amazing
The following scatter plot shows the data for NCAA quarterbacks comparing their attempted passes to completed passes.
Hint: A line of best fit follows the pattern of the data and is in the middle of the points.
Answers
Answer:
whats the question
Step-by-step explanation:
Calculate the volume of each diagrams.
Answers
The volume of the solid objects are 612π in³ and 1566πcm³
Volume of solid objectThe given objects are composite figures consisting of two shapes.
The volume of the blue figure is expressed as;
Volume = Volume of cylinder + volume of hemisphere
Volume = πr²h + 2/3πr³
Volume = πr²(h + 2/3r)
Volume = π(6)²(13+2/3(6))
Volume = 36π(13 + 4)
Volume = 612π in³
For the other object
Volume = Volume of cylinder + volume of cone
Volume = πr²h + 1/3πr²h
Volume = π(9)²(15) + 1/3π(9)²(13)
Volume= 81π (15+13/3)
Volume= 1566πcm³
Hence the volume of the solid objects are 612π in³ and 1566πcm³
Learn more on volume of composite figures here: https://brainly.com/question/1205683
#SPJ1
HELP URGENT WILL GIVE
BRAINLIEST!!!
Elsa is putting money into a
savings account. She starts
with $550 in the savings
account, and each week she
adds $70.
Let S represent the total
amount of money in the
savings account (in dollars),
and let W represent the
number of weeks Elsa has
been adding money. Write
an equation relating S to W
Then use this equation to
find the total amount of
money in the savings
account after 11 weeks.
Equation:__
Total amount of money after
11 weeks:
$__
Answers
Answer:
S x W + 550 = answer
Step-by-step explanation:
eh u dont need to know, yw
Answer:
Step-by-step explanation:
S= total amount in savings acc.
W= # of weeks
You have 550 in your acc and your adding 70 every week?
S= 550+70w
Then for 11 weeks: Equation- S=550+70*11
70*11=770
S= 550+770 - S= 1320
Total after 11 weeks is 1320
What is the vertex of the quadratic function f(x) =(x-6)(x+2)
Answers
Answer:
(2, -16)
Step-by-step explanation: set both (x +2) and (x-6) = 0.
You get the two x-intercepts -2 and 6. Find the midpoint of the two intercepts by -2 + 6 / 2 which gives you x=2. Then plug 2 in for x and solve the original equation. ( 2 - 6)(2+2) = -16. Therefore the vertex is at (2,-16).
Answer:
Step-by-step explanation:
f(x) = x^2 - 4x - 12
x = -(-4)/2 = 4/2 = 2
(2)^2 - 4(2) - 12 = 4 - 8 - 12 = -4 - 12 = -16
vertex: (2, -16)
Determine if the triangle with the given sides is acute, obtuse, or right.
7, 12, 16
Answers
order the numbers from least to greatest
Answers
Answer:-3, -2, -1/10, -0.8, 0.8, 7
Step-by-step explanation:
Determine whether 5, 238 is divisible by 2, 3, 4, 5, 6, 9, or 10.
Answers
Answer:
2, 3, 6
Step-by-step explanation:
Simply try each value using long division.
2:
Since 5,238 ends in an even number, that automatically means it is divisible by 2.
5238/2=2619
Now for 3:
5238/3=1746 no remainder or decimal, so 3 also works
4:
You can either do long division again with 4, or you can see if 5238 divided by 2 (5238/2) is also divisible by 2. Since 2619 doesn't end in an even number, 4 is a no go.
Long division 5238/4=1309.5 decimal here, so 4 isn't an answer
5:
This is also very easy, simply check if the number ends in 0 or 5. Since 5,238 does not, 5 doesn't work either.
6:
You can do the same thing as with 4, except this time trying to find if 5238 divided by 3 (5238/3) is divisible by 2. Since 1746 ends in an even number, 6 also works.
Long division: 5238/6=873
9:
You can do the same thing as with 6, except this time trying to find if 5238 divided by 3 (5238/3) is divisible by 3.
1746/3=548 with a remainder of 2, which means 9 doesn't work
Long division: 5238/9=548.66 repeating
10:
Finally, 10 is another easy one. Simply check if the number ends in 0. 5,238 does not, so 10 doesn't work.
help me solve this please help I will gave u brilliant answer
Answers
Answer: 1.) 3 2/3 2.) 2 9/10 3.) 9 11/15 4.) 7 11/12
B. Question 2,
My answer is reasonable, because if we round 1 7/10 to 2 and 1 1/5 to 1
2+1=3 and my answer is 2 9/10. This estimate makes sense because 2 9/10 can be rouned to 3, meaning it is reasonable.
Step-by-step explanation:
1 1/6 + 2 3/6= 3 4/6
Simplifyed=3 2/3
1 7/10 + 1 2/10 = 2 9/10
7 5/15 + 2 6/15= 9 11/15
4 8/12 + 3 3/12= 7 11/12
A. Using the spinner above, what is the probability that a player will draw 3 cards?
B. What is the probability that a player will draw 1 card on the first spin and 2 cards on a second spin?
C. Harold wants the probability that a player draws 3 cards and moves 2 spaces to be 3/8. How can he change the spinners to result in this probability?
Answers
Answer:
A-1/3
B-1/8
C-?
Step-by-step explanation:
The perimeter of a rectangle is 78 cm. If the length is 24 cm, how wide is the rectangle?
Write an equation you can use to answer this question. Use w as your variable in the equation.
Answers
Answer:
15(cm)
Step-by-step explanation:
48 + 2w = 78
2w = 30
w = 15(cm).
What is the sum of the 3rd and 5th square number??
Answers
Answer:
34
Step-by-step explanation:
3rd and 5th square numbers means 3² and
5² .
so we know 3² is another word of saying 3×3
3×3=9
5×5=25
9+25=34
Determine the composition of
transformations that would map figure ABCD to figure A'B'C'D"
1. The transformation that would map vertex B to B' is
Answers
Reason: choices are translation, reflection, rotation, or dilation, this is translation
Find the greatest common factor of 6m² and 7m².
Answers
Answer:
your answer is 4 my friend
Step-by-step explanation:
In a parallelogram PQRS, if angle P = (2x+25) degrees and angle Q = (3x-5) degrees, then write the measures of angle S and angle R.
Answers
Consecutive angles of a parallelogram are supplementary, so:
[tex]2x+25+3x-5=180\\5x+20=180\\5x=160\\x=32[/tex]
This means [tex]m\angle P=2(32)+25=89^{\circ}[/tex] and that [tex]m\angle Q=3(32)-5=91^{\circ}[/tex].
Since opposite angles of a parallelogram are congruent,
[tex]\boxed{m\angle S=91^{\circ}, m \angle R=89^{\circ}}[/tex]
Put these numbers in order from least to greatest 1/8, -0.333, -1/7
Answers
Answer:
-0.333, -1/7, 1/8
Step-by-step explanation:
1/8 is the greatest because it is a positive number while the other two numbers are negative.
-0.333 or -1/3 is smaller than -1/7.
(write in algebraic expression) Ice cream shop is open within the month of june,july and august
The shop served 100 fewer customers than they did in july
They served twice as many customers in august as they did in june
In total they served 400 customers over these three months
Answers
The algebraic expression of the situation above is 4x - 100 = 400
How to form an algebraic expression?Let
the amount of ice cream they serve in July = x + 100
the amount of ice cream they serve in June = x
They served twice as many customers in august as they did in June.
Therefore,
the amount of ice cream they serve in August = 2(x)
the amount of ice cream they serve in August = 2x
Therefore,
2x + x + x + 100 = 400
4x - 100 = 400
4x = 500
x = 500 / 4
x = 125
learn more on algebraic expression here:https://brainly.com/question/13223163
#SPJ1
5 less than n is equal to 38
Answers
N-5=38
You add five on both sides, to isolate n.
N=43
EASY POINTS
What is the slope-intercept equation of this line?
Answers
Answer:
B
Step-by-step explanation:
The y-intercept is 8
The slope is -2x
Therefore the slope-intercept is y = -2x + 8
Can anyone answer this?
Answers
A card is drawn from a standard deck of cards without jokers
What is the probability that the card is either black or a heart
Answers
Answer:
Step-by-step explanation:
Remark
The two black suites are
Clubs
Spades
Each of them has 13 cards so the total number of black cards is 2*13 = 26
Add to that the hearts which also has 13 cards
The total number of possible good cards is 13 + 26 = 39
Answer
P(hearts or Black) = 39/52
P(hearts or Black) = 3/4
P(hearts or Black) = 0.75
E
6m
10m
8m
F
1.1
Calculate the length of the following
a)
DG
b)
EF
1.2 Determine the value of x
1.3
Given 17sinA-15-0 and 0° SA≤90°
Determine the values of the following with the aid of a diagram
a)
tan A
b)
1-cosA
c)
cos¹ A-cosecA
1.4 Simplify the following fraction WITHOUT USING A CALCULATOR
tan 45°.sin 30°-cot45°
sec 60⁰
මමමමම
(1)
(4)
(2)
(5)
(23)
Answers
The value of the tanA is 15/8, and the value of the 1 - cosA is 9/17 after calculating the base length which is 8 units.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
Here the diagram and some data are missing.
But using Pythagoras or trigonometric ratio we can find the length.
We have:
17sinA-15-0
sinA = 15/17
Using Pythagoras theorem:
Base length = √(17² - 15²) = 8 units
= tanA = 15/8
= 1 - cosA = 1 - 8/17 = 9/17
We can find the rest of the trigonometric ratio.
Thus, the value of the tanA is 15/8, and the value of the 1 - cosA is 9/17 after calculating the base length, which is 8 units.
Learn more about trigonometry here:
brainly.com/question/26719838
#SPJ1