"solve for the following trig ratios using the unit circle":
1. tan(1755 degrees)
i have no idea how to do this. like do i use estimation orrrr.???
Answers
=========================================================
Explanation:
The goal is to get that 1755 degree angle between 0 and 360, so we can refer to the unit circle later.
Subtract off 360 from this until we get to that target
1755 - 360 = 13951395 - 360 = 10351035 - 360 = 675675 - 360 = 315Or a shortcut could be
1755 - 4*360 = 315The angles of 1755 degrees and 315 degrees are coterminal. They point in the same exact direction which is directly southeast in quadrant IV.
Now use the unit circle (see below) to find that
sin(315) = -sqrt(2)/2cos(315) = sqrt(2)/2Dividing those two items and simplifying gets us
tan(315) = sin(315)/cos(315) = -1
Then we go from tan(315) = -1 to tan(1755) = -1
Related Questions
In parallelogram EFGH if GE=30 find GJ.
Answers
Answer:
GJ = 15
Step-by-step explanation:
ParallelogramGE = 30
GE is the diagonal.
In a parallelogram, the diagonal bisect each other
GJ = GE ÷ 2
= 30 ÷ 2
GJ = 15
Can someone answer these 2 for me please ? :)
Answers
Answer:
1) B. (6,-3)
2) D. (-8,-2)
Right triangles and trigonometry
Answers
Answer:
x=5.11
Step-by-step explanation:
Hi there!
We are given a right triangle (notice the right angle), with one of the angles being equal to 64 degrees
We also know one of the sides is 42, another is x, and the other one is not marked
We want to find the value of x, which we can do using trigonometry
The 3 main trigonometric functions are:
Sine, which is opposite/hypotenuse
Cosine, which is adjacent/hypotenuse
Tangent, which is opposite/adjacent
First, let's find which side is which
The side opposite the 64 degree angle is the opposite; this side is the side marked as 42
The adjacent side would be the other leg (one of the sides creating the right angle); in this case, that would be the side marked as x
The hypotenuse in this case would be the side that hasn't been marked yet
Since we are given values for both the opposite and the adjacent, let's use tangent to find x
Since 64° was the angle we referenced to determine which side was which, we will also make the ratio with this angle.
Therefore, the ratio will be:
[tex]tan(64)=\frac{42}{x}[/tex]
Now we need to solve for x; start by multiplying both sides by x
x * tan(64) = 12
Now divide both sides by tan(64)
x = [tex]\frac{12}{tan(64)}[/tex]
Plug [tex]\frac{12}{tan(64)}[/tex] into your calculator; make sure the calculator is on degree, not radian mode
[tex]\frac{12}{tan(64)}[/tex] ≈ 5.11 (rounded to the nearest hundreth)
So x is about 5.11
Hope this helps!
Topic: trigonometry in right triangles
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Randy is starting a beehive so that he can have fresh
honey. He decides to check the current population of bees
in the hive by marking 160 bees. Later, Randy collects 240
bees and observes that 30 of them are marked. What is the
BEST estimate for the bee population?
Answers
Answer:
1,280
Step-by-step explanation:
Find the volume of the cylinder. Round your answer to the nearest tenth if necessary. Use 3.14 for π.
A can of juice has a radius of 7 inches and a height of 8 inches. What is the volume of the can?
The volume of the can is about _____.
Answers
Answer:
1230.9
step by step explanation:
PLEASE HELP!!!!!!! IMA DESPRATE!!!!!!! A radioactive isotope decays exponentially. The time it takes for half of the amount to decay is called the isotope's half-life. If an isotope has a half-life of 16 hours and you initially have 154 mg, how much will you have left after 64 hours? Round to the nearest thousandth.
Answers
Since the isotope is initially 154 mg, the amount of radioactive isotope left after 64 hours is 9.625 mg
To answer the question, we need to know what radioactive decay is.
What is radoactive decay?Radioactive decay is the spontaneous disintegration of a larger atom to a smaller one
What is half-life?Half-life of a radioactive isotope is the time it takes for the isotope to decay to half its initial value.
Amount left after n half livesThe amount left after n half lives is N = (1/2)ⁿN₀ where N₀ = initial mass of isotope.
Given that the half-life of the isotope is 16 hours, and we desire the amount present after 64 hours.
The number of half-lives after 64 hours is n = time/half-life
= 64 h/16 h
= 4
Since we have 154 mg of isotope present, N₀ = 154 mg
Given that
n = 4 and N₀ = 154 mgSubstituting the values of the variables into N, we have
N = (1/2)ⁿN₀
N = (1/2)⁴ × 154 mg
N = 154 mg/16
N = 9.625 mg
So, the amount of radioactive isotope left after 64 hours is 9.625 mg
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|2x+1|=-13 what is the answer
Answers
Answer:
There is no answer
Because absolute value causes a positive answer and it is written here -13 !!!
it's impossible
Match each function with its range.
Answers
Step-by-step explanation:
1. y <= 0
2. all real numbers
3. y >= 0
4. y >= 2
5. y >= -2
6. y <= 2
The difference between a number and seven is less than or equal to -3. Find the possible numbers. n ≤ 4 n ≥ 4 n ≤ -10 n ≥ -10
Answers
Answer:
n ≤ 4
Step-by-step explanation:
"The difference between a number and seven is less than or equal to -3" can be written as n-7 ≤ -3
n-7 ≤ -3
Add 7 to both sides
n ≤ 4
Answer is n ≤ 4
See picture attached for the math
A triangle has vertices T(3, 7), U(6, -6), and V(5, -9).
The image of the triangle has vertices T'(8, 1), U'(-5,
4), and V'(-8, 3).
Which transformations could have produced the
image?
OT(1.-2) ° Ty=x
Ory=x0 T(1, -2)
O Ta. -2) o Ro, 180°
O
O Ro. 180
Ta. -2)
Answers
Step-by-step explanation:
y=2x find the value of y and x
Which of the following is the correct factorization of the polynomial below?
Answers
Which is least? 1.26 ÷ 0.3 OR 7.84 ÷ 5.6
Answers
so clearly...the 2nd one is the least
hope it helps...!!!
Answer:
7.84 / 5.6 is least
Step-by-step explanation:
1. 1.26 / 0.3
= 4.2
2. 7.84 / 5.6
= 1.4
answer of 1. is 4.2 and 2. is 1.4
1.4 is less than 4.2
Twice the difference of a number and 6 is 5
Use the variable x for the unknown number
Answers
To rewrite a word equation as a numerical equation, we can recognize certain keywords and change them into numbers or operations.
twice = multiply by 2difference = subtract'a number' = let this be xis = equalsSolving the QuestionWe're given:
Twice the difference of a number and 6 is 5⇒ twice = (2 ×)
⇒ difference of a number and 6 = (x - 6)
⇒ is 5 = ( = 5)⇒ 2(x-6) = 5
To solve for x, isolate the variable:
2(x-6) = 5
2x-12 = 5
2x = 17
x = [tex]\dfrac{17}{2}[/tex]
Answer[tex]\dfrac{17}{2}[/tex]
How much should you put in an investment paying a simple interest rate of 5% if you needed $4000 in eighteen mont
Answers
Answer:
$ 53,333.33
Step-by-step explanation:
The formula for simple interest is I = PRT. So, we are trying to solve for P(original investment). To do this, we get the formula P = I / RT. This is the formula we will be using.
Work:
First, converting R percent to r a decimalr = R/100 = 5%/100 = 0.05 per year,putting time into years for simplicity,18 months ÷ 12 months/year = 1.5 years,then, solving our equation
P = 4000 / ( 0.05 × 1.5 ) = 53333.333333333
P = $ 53,333.33
PLEASE HELP ASAP
what is an equation of the line that passes through the points (2,-3) and (2,6)
Answers
Answer:
x = 2
Step-by-step explanation:
The two points have the same x-coordinates, so lie on the same vertical line:
x = 2
What is the third angle on a triangle with angels of 45 and 45?
Answers
- - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
what is the third angle of a triangle with angles of 45 and 45?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond[/tex]
Angles in a triangle always add up to [tex]\bold{180\textdegree}[/tex].
❖ Here we are given 2 angles:-
45 and 45, which add up to 90.
❖ Subtract 90 from 180:-
90
✶ So the angles are 45, 45 and 90.
Good luck.
- - - - - - - - - -- - - - - - - - - - -- - - - - - - - - -
Answer:
90 degrees.
Step-by-step explanation:
As there are 180 degrees in a triangle
third angle = 180 - 45 - 45 = 90 degrees.
There are two boys and 23 girls, what’s the ratio of girls to all children?
Answers
Answer:
23:25
Step-by-step explanation:
Answer:
23/25 23 to 25 23:25
Step-by-step explanation:
Two boys 23 girls=25 children
girls=23
23/25
isaac gets paid $400.00 per week plus a commission of $10.00 for every item he sells. write the equation that shows the relationship between the number of items he sells and his weekly income.
Answers
y= 10x + 400 is the correct equation
Answer:
400w + 10x
I have no idea what I'm doing
Find the area of the yellow region.
Round to the nearest tenth.
5ft
Answers
Answer: 9.3
I calculated the area of the square, then I calculated the area of the circle. Then I subtracted the two.
Answer:
5.3
Step-by-step explanation:
A square has equal sides
LXW=A
5x5= 25
diameter of the circle is 5 ft
D/2=R 5/2= 2.5
Area of a circle is [tex]\pi r^2[/tex] (Pi=3.14)
[tex]3.14 X (2.5)^2[/tex]= 3.14 x 6.25= 19.625.
Area of yellow region
Area of square - Area of circle.
25-19.625 = 5.375 rounded to nearest 10th is 5.3
Find the 4th term of the geometric sequence whose first term is 3 and common ratio is 2.
Answers
The 4th term of the geometric sequence whose first term is 3 and the common ratio is 2 is 24.
What is a geometric sequence and how to find its nth terms?Suppose the initial term of a geometric sequence is a
and the term by which we multiply the previous term to get the next term is r then the sequence would look like
a, ar, ar², ar³,...., arⁿ
Thus, the nth term of such sequence would be aₙ = a₁ × r⁽ⁿ⁻¹⁾ (you can easily predict this formula, as for the nth term, the multiple r would've multiplied with initial terms n-1 times).
Given the first term of the sequence is 3, while the common ratio is 2, therefore, the fourth term of the geometric sequence can be written as,
aₙ = a₁ × r⁽ⁿ⁻¹⁾
a₄ = 3 × 2⁽⁴⁻¹⁾
a₄ = 3 × 2³
a₄ = 24
Hence, the 4th term of the geometric sequence whose first term is 3 and the common ratio is 2 is 24.
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Frank bought a pair of gloves for $9.95 and a hat for $5.25. What is the best estimate of much he spent?
$15.00
$10.00
$5.00
$25.00
Answers
Answer:
$
15.00
Step-by-step explanation:
Round the costs of the gloves and hat. $9.95 is very nearly $10. And even though $5.25 is over $5 , it is still very close. $10+$5 is $15. This is the estimate.
The total debt to total assets of lans landscaping was 0.51. The total of lan assets was $234,00. What the amount of total debt?
Answers
The total amount of debt is $119,340.
What is the amount of total debt?The total debt to total assets ratio is a financial ratio. It is the ratio of total debt to total asset. It also known as the total debt ratio
Total debt ratio = total debt / total asset
total debt = value of the ratio x value of the assets
0.51 x $234,000 = $119,340
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Can someone help with this? I've been stuck on this for a while
Answers
Step-by-step explanation:
how is that math ?
anyway,
*♡ = O
●* = H
arrow up and filed triangle = E
arrow down and 3/4 circle = R
The figure shows a planter Mrs Washington uses for flowers please help fast
Answers
Answer:
67.5 ft^3
Step-by-step explanation:
7.5 * 2 * 3.5 + 3 * 2.5 *2 = 67.5 ft^3
write 28% as a fraction
Answers
Answer:
28% as a fraction can be written in many ways. The most simplest way to convert a percentage to a fraction would just to put it over 100. For example, 50% would be 50/100 therefore 28% would be 28/100.
However, we can simplify that fraction even more by doing (28/4)/(100/4) which would give us 7/25.
Hope this helps!
A square has sides with lengths of (x − 1) units. A rectangle has a length of x units and a width of (x − 2) units. Which statements about the situation are true? Select all that apply. A The value of x must be greater than 2. B The difference in the areas is 2x−1. C The area of the square is (x2 − 1) square units. D The area of the rectangle is (x2 − 2x) square units. E The area of the square is greater than the area of the rectangle.
Answers
Answer:
A, D, E
Step-by-step explanation:
AREA OF SQUARE
[tex](x - 1)(x - 1) = x^2 - 2x + 1[/tex]
AREA OF RECTANGLE
[tex]x(x - 2) = x^2 - 2x[/tex]
Using this we know that the difference is 1, so B is incorrect. We also know that D and E are correct because we solved for the area. C is also wrong, by the same reasoning. Now, all we need to see is if A is right. Plug in x = 2.
[tex](2)^2 - 2(2) + 1 \\= 4 - 4 + 1 \\= 1[/tex]
Because the area of the square is a square unit larger than the rectangle, the rectangle would have an area of 0, which is impossible, so A is correct.
Find the approximate values of the five-number summary for the data set represented by this box plot.
05 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100
Please hurry!!!
Answers
Answer: Minimum: 0
Quartile Q1: 22.5
Median: 50
Quartile Q3: 77.5
Maximum: 100
Step-by-step explanation:
I need helppppppp :((
Answers
Answer:
H x/10 = 18/8
Step-by-step explanation:
The fact that DE is parallel to CB means DE divides AC in the same proportion that it divides AB. This fact can be used to write a proportion to find x.
__
[tex]\dfrac{\overline{DC}}{\overline{AD}}=\dfrac{\overline{EB}}{\overline{AE}}\\\\\boxed{\dfrac{x}{10}=\dfrac{18}{8}}\qquad\text{matches choice }\textbf{H}[/tex]
_____
Additional comment
The values used in the other answer ratios are not "corresponding."
Answer:
H
Step-by-step explanation:
∠ADE is a scaled version of ∠ ABC.
So,
18:8
and
10:x
Ratios can be expressed as fractions:
[tex]\frac{8}{18}[/tex] and [tex]\frac{x}{10}[/tex].
Since the scale factor is the same,8/18 has to be the same as 10/x.
Therefore,[tex]\frac{8}{18}[/tex]=[tex]\frac{x}{10}[/tex].
Hope this helps!!!
Please mark me as brainliest!!!
This took a lot of effort.
Calculate (C ∘ F) for the month
Answers
To calculate temperature (C ∘ F) Celsius to Fahrenheit for the month, use the following expression.
[tex]^oC=\dfrac{5}{9}(^oF-32)[/tex]How to convert Celsius to Fahrenheit?
Temperature is the way to express the hotness or coldness of a body or object surface. The scales of measuring temperature are:
Celsius FahrenheitKelvinTo convert Fahrenheit to Celsius, we use the following formula.
[tex]^oF=^oC\times\dfrac{9}{5}+32[/tex]
The formula to convert Celsius to Fahrenheit is
[tex]^oC=\dfrac{5}{9}(^oF-32)[/tex]
Now, there is no data given in the problem. Thus, the above formula for any data can be used to convert the unit of temperature measurement.
Hence, to calculate temperature (C ∘ F) Celsius to Fahrenheit for the month, use the following expression.
[tex]^oC=\dfrac{5}{9}(^oF-32)[/tex]
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The executive summary component of a business plan is to describe
a where the funds to start and operate your business will come from, when you expect to see
profit, and how much profit you expect to see
b. the size of the market, how your business will fit into the market, and how your business will
stand out from other businesses in the market
c. the 'big picture behind your business, what your business has to offer the consumer, and why
your business will be successful
d. how your business will be organized and what type of management or department structure
your business will have
Please select the best answer from the choices provided
ΟΑ
О В
ОС
Answers
Answer:
Executive summary describes the 'big picture behind your business, what your business has to offer the consumer, and why
Step-by-step explanation:
B is right