On the following unit circle, θ θtheta is in radians and tan ( θ ) = − 0.99 0.1 = − 9.9 tan(θ)= 0.1 −0.99 =−9.9tangent, left parenthesis, theta, right parenthesis, equals, start fraction, minus, 0, point, 99, divided by, 0, point, 1, end fraction, equals, minus, 9, point, 9. y y x x 1 1 − 1 −1 1 1 − 1 −1 θ θ ( 0.1 , − 0.99 ) (0.1,−0.99) A unit circle with an angle from the positive x-axis to a ray labeled theta. The point where the ray intersects the circle is labeled 0.1, negative 0.99 and is in the fourth quadrant. Without a calculator, evaluate the following expressions to the nearest
Answers
Answer: tan(pi+theta)=-9.9
Tan(2pi+theta)=-9.9
Step-by-step explanation:
By trigonometric expressions we conclude that the values of the tangent functions of the angles π + θ and 2π + θ radians are both equal to - 9.9.
How to calculate trigonometric functions from unit circle
A unit circle is a circle with a radius of a unit used to calculate the value of trigonometric functions associated to a right triangle. In this case, the tangent function for a point (x, y) is:
tan θ = y/x (1)
The trigonometric expression for the tangent of the sum of two angles:
[tex]\tan (\alpha + \theta) = \frac{\tan \alpha + \tan \theta}{1 - \tan \alpha \cdot \tan \theta}[/tex] (2)
Now we proceed to calculate the trigonometric expressions:
[tex]\tan (\pi + \theta) = \frac{\frac{-0.99}{0.1}+0}{1-\left(\frac{-0.99}{0.1}\right)\cdot (0)}[/tex]
[tex]\tan (\pi + \theta) = -9.9[/tex]
[tex]\tan (2\pi + \theta) = \frac{\frac{-0.99}{0.1}+0}{1-\left(\frac{-0.99}{0.1}\right)\cdot (0)}[/tex]
[tex]\tan (2\pi + \theta) = -9.9[/tex]
By trigonometric expressions we conclude that the values of the tangent functions of the angles π + θ and 2π + θ radians are both equal to - 9.9.
To learn more on trigonometric expressions: https://brainly.com/question/6904750
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Related Questions
plz answer this right what is[tex]−2(12−2(−4))x^{2}[/tex]
Answers
Answer:
-40x^2, first multiply -2(-4), this is 8 and sum with 12 and this is 20, finally mutiply by -2
I
3. Anayah is playing a game. She started with 10 points. In the first round she
lost 20 points. In the second round she won 45 points. Which of the
following shows the changes in Anayah scores?
a) 10 - 20 +45
b) 10 - 20 – 45
c) -10 - 20 + 45
d) -10 – 20 - 45
Answers
Answer:
A.
Step-by-step explanation:
It's set up exactly as it is said. She starts with 10 points automatically so you would put:
10
Then it says that she lost 20 points. Losing is subtraction. You would add this to the equation:
10-20
Then it says she won 45 points. Winning is addition. You would add this to the equation:
10-20+45
This equation matches up with A. thus A. being the correct answer. If they ask for the answer, it is 35 by the way. Hope this helps!
a) 10 - 20 +45
Step-by-step explanation:
Is known :
She started with 10 points.
In the first round she lost 20 points.
In the second round she won 45 points.
Asked :
Which of the following shows the changes in Anayah scores?Aswered :
She started with 10 points - In the first round she lost 20 points + In the second round she won 45 points
= 10 - 20 + 45
1. Which answer choice best describes an exponent? (Circle the correct letter.)
A. It is a number with 2 factors.
B. It is a number that is to be multiplied by the base number.
C. It is a number that tells how many equal factors there are.
D. It is a common factor to both numbers involved.
Which one
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Answer:
C. It is a number that tells how many equal factors there are
Step-by-step explanation:
Just as a coefficient tells you how many times a value appears in a sum, an exponent tells you how many times a value appears in a product.
The exponent ...
... is a number that tells how many equal factors there are
3
Question 2 (1 point)
The frequency of color blindness (dyschromatopsia) in the Caucasian American male
population is estimated to be about 8%. Let's call X the number of color-blind
individuals in a random sample of 8 Caucasian American males. The table gives the
probability distribution for X.
3
What is the mean of this distribution?
0
1
2
3
4
Х
P(X)
טן ס
0.513
0.357
0.109
0.019
0.002
2
Answers
Using the mean concept, it is found that the mean of the distribution is of 0.64.
The mean of a probability distribution is given by the sum of each outcome multiplied by it's probability.
In this problem, the probability of each outcome is given by:
[tex]P(X = 0) = 0.513[/tex]
[tex]P(X = 1) = 0.357[/tex]
[tex]P(X = 2) = 0.109[/tex]
[tex]P(X = 3) = 0.019[/tex]
[tex]P(X = 4) = 0.002[/tex]
The, the mean is:
[tex]E(X) = 0.513(0) + 0.357(1) + 0.109(2) + 0.019(3) + 0.002(4) = 0.64[/tex]
The mean of this distribution is 0.64.
A similar problem is given at https://brainly.com/question/24146527
Bag A contains 7x counters.
Bag B contains 2x counters.
Five counters are taken from bag A and put in bag B.
Write an expression, in terms of x, for the number of counters now in bag B.
Answers
Evaluate -30 divided by
-6. (1 point)
G
5
5
C
6
Od
Answers
Answer:
5
Step-by-step explanation:
-30÷(-6) is the same as 30÷6
30÷6=5
Answer:
5
Step-by-step explanation:
ignore any negative sign for now.
30÷6
We can divide 30 items evenly into 5 groups of 6.
Now consider the signs. Two negatives make a positive.
−30,−6→Positive
=5
Solve the inequality, write the answer in interval notation.
Answers
9514 1404 393
Answer:
(-∞, 2-√7) ∪ (2+√7, ∞)
Step-by-step explanation:
The factored form of a polynomial is helpful for solving related inequalities. For quadratics with two real zeros, the sign changes at each zero. If the leading coefficient is positive, the sign is positive to for x-values "outside" either zero, and is negative between the zeros.
Your inequality can be written in standard form as ...
x² -4x -3 > 0
x² -4x +4 -7 > 0
(x -2 -√7)(x -2 +√7) > 0 . . . . . factor the difference of squares (x-2)² -7
The zeros are at x=2-√7 and x=2+√7, so the product of these factors will be positive for x < 2-√7 and x > 2+√7. The solution in interval notation is ...
(-∞, 2-√7) ∪ (2+√7, ∞)
_____
Additional comment
We suspect a typo in the problem statement. If it were to read ... > -3, then the zeros would be at 1 and 3, and the solution would be (-∞, 1)∪(3, ∞).
Write an equation where the slope is 4/5 and a point of (-3,2)
Answers
Answer:
y=4/5x+22/5
Step-by-step explanation:
Using point-slope form!
find the slope of the line passing through each of the following pairs of points. (-6,0),(4,0)
Answers
Answer:
slope=0
Step-by-step explanation:
1/4a + 4b
a = -7 b = 0
Answers
9514 1404 393
Answer:
-7/4
Step-by-step explanation:
If you want to evaluate the expression for the given values of the variables, put the variable value in its corresponding place in the expression and do the arithmetic.
1/4a +4b
= 1/4(-7) +4(0)
= -7/4 +0 = -7/4
Cecilia set a goal to raise $4,800.00 for her favorite charity this year. She has decided to participate in a walk-a-thon to help her reach her goal. She found 30 sponsors and each sponsor has agreed to give her $0.50 for each mile that she walks in the walk-a-thon. If she walks a total of 25 miles, how much money will she still need to raise in order to reach her goal for this year?
A.
$4,675.00
B.
$5,175.00
C.
$4,762.50
D.
$4,425.00
Answers
Answer:
4,425$
Step-by-step explanation:
find the amount of Money raised
buy multiplying the amount raised per mile by each sponsor with the number of sponsor and the number of miles walked
[tex](30 \times 0.50) \times 25 = 375[/tex]
to find the remaining, subtract the raised amount from the intended amount.
[tex]4800 - 375 = 4425[/tex]
Solve the system of equations 4x+3y=3 and y=2x+6.
Answers
Answer:
Step-by-step explanation:
4x+3y=3
y=2x+6
4x+3(2x+6)=3
4x+6x+18=3
10x=3-18
10x=-15
x=-15/10=-1.5
y=2(-1.5)+6
y=-3+6
y=3
V=2x+6
4x+3(2x+6) =3
4×+6x+18=3
10x=3-18
10x=-15
x=-15/10=-1.5
y=2(-1.5) +6
V=-3+6
y=3
0.04 with 4 repeating as a fraction. Not the 04 repeating just the 4 is repeating. What is the answer???
Answers
Answer:
2/45
Step-by-step explanation:
0.04... is the same as 0.1 * 0.4... because we are moving it up a decimal place, it's the same as multiplying by ten: we needed to multiply by a tenth to cancel that out. 0.4... is the same as 4/9 and 0.1 is the same as 1/10. We can rewrite the expression above as: [tex](\frac{1}{10} )(\frac{4}{9} )[/tex]. Multiplying the two fractions results in 4/90 which can be simplified to 2/45.
9s4t3w ÷ 36s2t5
simplify as a single fraction
Answers
Answer:
[tex] \frac{3}{10w} [/tex]
Step-by-step explanation:
[tex] = \frac{9s4t3w}{36s2t5} [/tex]
simplifying you obtain the answer above
find 8th and 10th of G.P whose first term and common ratio are 6 and 2 respectively
Answers
Answer:
a₈ = 768 , a₁₀ = 3072
Step-by-step explanation:
The nth term of a GP is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 6 and r = 2 , then
a₈ = 6 × [tex]2^{7}[/tex] = 6 × 128 = 768
a₁₀ = 6 × [tex]2^{9}[/tex] = 6 × 512 = 3072
The speed of a bus weighing 2000 kg increases from 50 mls to 60 m/s in 4 s. Calculate the change in its momentum and the Force applied on it
Answers
Answer:
Momentum = 20 000 kgm/s
Force applied = 5000 N
Step-by-step explanation:
Momentum = Mass * Velocity
= 2000 kg * 10 m/s
= 20 000 kgm/s
Force = Mass * Acceleration
Acceleration = v - u / t
= 60-50/4
= 10/4
= 2.5 m/s^2
F = m*a
= 2000 * 2.5
= 5 000 N
how do you divide 2.6 by 2.952
Answers
Answer:
how do you divide 2.6 by 2.952
Step-by-step explanation:
please help me i’ll give brainlist to you
Answers
-10, -8, -3, 0, 2. Please give Brainliest
Answer:
0,-3,-8,-10,2
Step-by-step explanation:
0,-3,-8,-10,2 PLEASE GIVE MY 5 STARS thank you ❤
A sugar solution with a mass of 200 grams has a percent by mass concentration of 25%.
Answers
Answer:
1 million brothers i have in my family
A large cargo ship dropped anchor in the ocean. The anchor was released at a constant rate rate of speed from a height of 44 meters
Answers
Answer:
C and E
Step-by-step explanation:
The change in elevation was 44 + 20 = 64 m
the rate of fall was 64 m / 32 s = 2 m/s
The anchor reached the surface in 44 / 2 = 22 s so C is valid
E is correct as the ocean surface is origin and Up is the positive direction.
The anchor starts at 44 m above the surface and position is lower by 2 meters every second
From the question, the two correct options about the speed with which the anchor was released are:
Option COption EHow to solve for the solutionFirst we have to calculate the change that occurred in the elevation. Initially it was 44 meters but dropped 20 m below water.
44 + 20 = 64 meters
Next we calculate the rate with which the fall occurred
The time with which it fell was 32 seconds. = 64/32 = 2 meters pers second
44/2 = 22 hence it can be concluded that C is right.
Option E is also correct given that the water surface is above the ground and it is positive
Read more on distance here: https://brainly.com/question/2854969
A line passes through point (8,-9) and has a slope of
5/4
Write an equation in Ax+By = C form for this line.
Use integers for A, B, and C.
Answers
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Answer:
5x -4y = 76
Step-by-step explanation:
The point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
For the given point and slope, this equation is ...
y -(-9) = 5/4(x -8)
Multiplying by 4 gives ...
4y +36 = 5x -40
Subttracting 4y and adding 40 puts this into the desired form.
5x -4y = 76
Susanne runs a bakery. Five years ago the bakery sold 224 loaves of bread each day. Today they sell 329 loaves each day. What percent of increase in the number of loaves sold each day?
The percent of increase is %
(type a whole number or a decimal)
Answers
224-329/224=
46.875% increase
Answer:
46.875% - (rounded answers shown below)
Step-by-step explanation:
Percent increase can be calculated by this formula:
(new-original)/original * 100.
In this problem, the 'new' value is 329 because it is the large value and is the more recent out of the two values. Therefore, the 'original' value is 224, because it is the value that is less recent than 329.
So, plugging this into the formula, (329-224)/224. This becomes 105/224, which is 0.46875. We multiply this by 100, and the value then becomes 46.875.
If you want to round this percent, it becomes 47% (whole number) or 46.9% (decimal rounded to the nearest tenth)
How can you compare decimals such as 0.21, 1.32, 2.1, and 0.021?
Answers
Answer:
line up the decimal points first and then compare values, starting with the ones places, then compare the tenths place, then the hundredths, etc.
0.210 - this is 21/100
1.320 - this is 1 32/100
2.100 - this is 2 1/10
0.021 - this is 21/1000
Step-by-step explanation:
smallest is 0.021
0.210
1.32
largest is 2.1
The measure of an exterior angle at C of isosceles triangle ABC is 110 degrees. If AC = BC, fine the measure of each angle of the triangle.
Answers
Answer:
110°, 35° and 35°
Step-by-step explanation:
Sum of internal angles of a triangle always is 180°
then,
180° - 110° = 70°
and it's an isosceles triangle, the other two angles are equals to 35° (70° / 2)
If 4 is added to 3 times a number “a” the result is 16. What is the number?
Answers
Answer:
4
Step-by-step explanation:
4+3a=16
-4. -4
3a=12
/3. /3
a=4
Differentiate the function h(x) using the quotient rule.
h(x) =2x+5 /2--x
Answers
[tex]h'(x)=\frac{\frac{d}{dx}[2x+5] (2-x)-\frac{d}{dx}[2-x](2x+5) }{(2-x)^2}\\=\frac{2(2-x)-(-1)(2x+5)}{(2-x)^2} \\=\frac{4-2x+2x+5}{(2-x)^2}\\=\frac{9}{(2-x)^2} \\=\frac{9}{x^2-4x+4}[/tex]
What sales tax, at a rate of 6 1/2%, much you pay on the purchase of a computer hard disk drive costing $258.75?
Answers
Answer:
275.57
Step-by-step explanation:
258.75 ×6.5=16.817
275.57 +26.82 =275.57
If 23×23=529 then qhat ks 2.3×0.23
Answers
Answer:
0.529
Step-by-step explanation:
1) Use the algorithm method.
2 . 3
+ 0 . 2 3
---------------------------
0 . 0 6 9
0 . 4 6 0
-----------------------------
1
0. 5 2 9
2) Therefore, 2.3 × 0.23 = 0.529.
0.529
How many ways can 100 be written as the sum of distinct integers from the set {1, 2,..., 15}?
Answers
Answer:
48 ways
Step-by-step explanation:
Let me take a guess
S₁_₁₅ = (1+15)*7 + 8 = 120
There are 48 combinations of distinct digits from 1 to 15 to make 20
120-20=100
So every 20 has a corresponding 100
I wish I got it right, otherwise report it.
19) The supplement of an angle is 24° more than
the angle. What is the measure of the angle?
1) 7.50 2) 66°
3) 78°
4) 33°
Answers
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Answer:
3) 78°
Step-by-step explanation:
Let x represent the angle. Then 180-x is its supplement, and the difference is ...
(180 -x) -x = 24
90 -x = 12 . . . . . . . divide by 2
x = 90 -12 = 78 . . . . degrees
The measure of the angle is 78°.