Answers
Answer:
[tex]cos\alpha =\frac{7}{25}; \ tan\alpha =-\frac{7}{24}.[/tex]
Step-by-step explanation:
if π<α<2π and cotα<0, then 1.5π<α<2π. It means, that cosα>0 and tanα<0.
1) tanα=1/cotα; ⇒tanα= -7/24;
2) [tex]cos\alpha =\frac{1}{\sqrt{1+cot^2\alpha }}}; \ cos\alpha =\frac{7}{25}.[/tex]
Related Questions
HELP! TRIGONOMETRY QUESTION!!
Answers
Use the law of cosines, which says
189² = 215² + 123² - 2×215×123 cos(∠P)
==> cos(∠P) = 25,633/52,890
==> ∠P ≈ 61.06°
Question 8 If f (2) = (1 + 3) and g (2) VO+ 7, find g (f (x)). 9(f()) = 1 + 10 O g(f ()) = VI + 3 +7 Og(f (x)) = v= + 10 Og(f (2)) = 2? + 10
Answers
Answer:
x+10
Step-by-step explanation:
f(x) = (x+3)^2 and g(x) = sqrt(x)+7
g(f(x)) =
Replace f(x) in for x in the function g(x)
= sqrt((x+3)^2)+7
= x+3 +7
= x+10
4x+5x+7+x+2 Combine like terms
Answers
Answer:
10x+9
Step-by-step explanation:
Since 4, 5, and 1x are all x terms you add them up. So 4x+5x+1x=10x. The same goes for 7 and 2, except they are non-x terms. So 7+2= 9. That means that the final answer is 10x+9.
Hope this helps!
I just need help on this and fast
Answers
hope this helps you understand the concept
(6,9) is F
(-4,-5) is B
(-7,6) is L
(-5,0) is E
(1,5) is M
(7,2) is K
I can’t tell what the first one say for the last question. If it’s B it’s quadrant 3
(7,2) is quadrant 1
(-7,6) is quadrant 2
I can’t tell what the 4th one is. It’s either quadrant 3 or 4. If both X and Y is negative, it’s quadrant 3. If the X is positive and it has negative 3 as a Y, it’s in quadrant 4
E is on the X axis
(-9,-9) is in quadrant 3
Ones to re do: N is (-9,-3) not positive 9 or positive 3. I is (5,-7) not positive 7. G is (-9,-9) C is (-2,7)
And if it helps write it as a number line on the y axis and x axis so you don’t mix up the positives and negatives
Hope these answers help! Keep up the good work! Don’t give up :)
arccos 2x + arccos x = TT/2
How to solve find x ?
Answers
arccos(2x) + arccos(x) = π/2
Apply cos to both sides, then expand the right side using the identity I mentioned in a comment:
cos(arccos(2x) + arccos(x)) = cos(π/2)
cos(arccos(2x)) cos(arccos(x)) - sin(arccos(2x)) sin(arccos(x)) = 0
Now think of arccos(2x) and arccos(x) as angles in two right triangles. Let θ = arccos(2x) and φ = arccos(x) (and let's also assume that both have measure between 0 and π/2). These are angles such that
cos(θ) = 2x
cos(φ) = x
In these triangles, you then have
sin(θ) = sin(arccos(2x)) = √(1 - 4x ²)
sin(φ) = sin(arccos(x)) = √(1 - x ²)
while
cos(θ) = cos(arccos(2x)) = 2x
cos(φ) = cos(arccos(x)) = x
So the original equation is transformed to
2x ² - √(1 - 4x ²) √(1 - x ²) = 0
Solve for x :
2x ² = √(1 - 4x ²) √(1 - x ²)
(2x ²)² = (√(1 - 4x ²) √(1 - x ²))²
4x ⁴ = (1 - 4x ²) (1 - x ²)
4x ⁴ = 1 - 5x ² + 4x ⁴
0 = 1 - 5x ²
x ² = 1/5
x = ± 1/√5
Now bearing in mind that we assume 0 < φ < π/2, we should have cos(φ) = x > 0, so we take the positive solution,
x = 1/√5
I need help ASAP!!! Please explain how to solve the answer.
Answers
Answer:
Does the answer help you?
Please choose my answer as a brainliest answer and please rate.
It take a few minutes to solve your question.
Calculate the area of each shape
Answers
Answer:
a) 3x² + 7x + 2
b) 4x² + 2x - 12
c) x² + 8x + 12
d) π (16x² + 144)
Step-by-step explanation:
a) Rectangle
A = bh
A = 3x + 1 (x + 2)
A = 3x² + 6x + 1x + 2
A = 3x² + 7x + 2
b) Parallelogram
A = bh
A = 2x + 4 (2x - 3)
A = 4x² + (-6x) + 8x + (-12)
A = 4x² + 2x - 12
c) Trapezoid
A = a + b/2 (h)
A = [(x + 3) + (x + 9)]/2 (x + 2)
A = (2x + 12)/2 (x + 2)
A = x + 6 (x + 2)
A = x² + 2x + 6x + 12
A = x² + 8x + 12
d) Circle
A = πr²
A = π (4x + 12)²
A = π (16x² + 144)
This will be you're simplest answer unless you multiple 16x² + 144 times pi (π) and round.
solve A = 1/2bh, for b
Answers
Answer:
b=2A/h
Step-by-step explanation:
First I throw everything else to another side with A by dividing them
(A = b)/2h
then I get
b=2A/h
Step-by-step explanation:
A = 1/2 bh
divide by 1/2
2A = bh
divide by h
2A/h = b
One fifth of a number is subtracted from one fourth of the number,the result is 8 more than 10.Find the number
Answers
Answer:
4
Step-by-step explanation:
Let the number be x.
According to the question,
[tex]\dashrightarrow \sf { \dfrac{1}{4}x - \dfrac{1}{5}x= 8 + 10 } \\[/tex]
[tex]\dashrightarrow \sf { \dfrac{5x + 4x}{2}= 18 } \\[/tex]
[tex]\dashrightarrow \sf { \dfrac{9x}{2}= 18 } \\[/tex]
[tex]\dashrightarrow \sf { 9x = 18 \times 2 } \\[/tex]
[tex]\dashrightarrow \sf { 9x = 36 } \\[/tex]
[tex]\dashrightarrow \sf { x =\cancel{ \dfrac{36}{9} }} \\[/tex]
[tex]\dashrightarrow \underline{\boxed{\pmb { \frak {x = 4 }}}} \\[/tex]
The number is 4.
f (x) = -x^2 + x + 14 Find f(2)
Answers
f(x) = -x² + x + 14
f(2) = -2² + 2 + 14 = -4 + 16 = 12
f(2) = 12
Answer:
12
Step-by-step explanation:
f (x) = -x^2 + x + 14
Let x= 2
f(2) = - (2)^2 +2+14
= -4 +2+14
= -2 +14
= 12
Solve for x: two thirds plus one third times x equals two times x
NEED ANSWER ASAP DUE INN THREE HOURS
Answers
Hey there! I'm happy to help!
Let's write this equation out.
2/3+1/3x=2x
We want to get all of the variables on the left side and all the numbers on the right side so we can see what number x is equal to. First, Let's subtract 2/x from both sides.
2/3+1/3x-2x=0
We subtract 2/3 from both sides.
1/3x-2x=-2/3
We combine our x values.
-5/3x=-2/3
We divide both sides by -5/3.
x=-5
Have a wonderful day and keep on learning! :D
a car averaged 72 kph .on a trip if the car travelled for 9 hours how far did it go
Answers
648 km
Explanation:
d = v x t
d = 72 x 9
d = 648 km
Answer:
648 km
Step-by-step explanation:
distance travelled= speed * time
distance= 72kph * 9 hours
distance= 648 km
PLEASE HELP!! Important test!! Option 1 isn't coming up so if you could try to solve others that would be great!
Answers
Answer:
4
Step-by-step explanation:
Func 2 is -2
Func 3 is 1
Func 4 is 8
Func 1 is unknown
A box contains cards number 1-10. A card is drawn at random, without replacement, and a second card is drawn. What is the probability that the first number is a multiple of five and the second number is a multiple of three?
Answers
Answer:
Step-by-step explanation:
Total outcome is 10 and favorable outcome is 2 ⇒ the probability that the first number is a multiple of five is [tex]\frac{2}{10}[/tex] = [tex]\frac{1}{5}[/tex]
Total outcome is 9 and favorable outcome is 3 ⇒ the probability that the first number is a multiple of three is [tex]\frac{1}{3}[/tex] if first draw was successful, and [tex]\frac{2}{9}[/tex] if the first number was multiple of three.
Using conditional probability, it is found that there is a 0.0667 = 6.67% probability that the first number is a multiple of five and the second number is a multiple of three.
A probability is the number of desired outcomes divided by the number of total outcomes.
Conditional Probability
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.In this problem:
Event A: First number is a multiple of 5.Event B: The second number is a multiple of 3.There are 10 numbers, of which 2(5 and 10) are multiples of 5, hence [tex]P(A) = \frac{2}{10} = 0.2[/tex]
Then, supposing a multiple of 5 is taken, there will be 9 numbers, of which 3(3, 6 and 9) are multiples of 3, hence [tex]P(B|A) = \frac{3}{9} = \frac{1}{3} = 0.3333[/tex]
Then:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]P(A \cap B) = P(A)P(B|A)[/tex]
[tex]P(A \cap B) = 0.2(0.3333)[/tex]
[tex]P(A \cap B) = 0.0667[/tex]
0.0667 = 6.67% probability that the first number is a multiple of five and the second number is a multiple of three.
A similar problem is given at https://brainly.com/question/14398287
According to the graph, is f even, odd, or neither?
Choose 1 answer:
a. Even
b. Odd
c. Neither
Answers
Answer:
a
Step-by-step explanation:
an even function is symmetrical about the y- axis
This graph has symmetry about the y- axis and so is Even
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6. Solve for x!! please help!
Answers
x/2 = -7
=> x = -7 × 2
=> x = -14
Answer:
x=-14
Step-by-step explanation:
[tex]\frac{x}{2} =-7\\\\x=-14\\[/tex]
hi im back pls help me :) i'll give brainliest
Answers
Answer:
b
Step-by-step explanation:
y + 6 = -2(x - 4)
Step-by-step explanation:
We’re going to start off simple so we’re not going to write the graph in point-slope form yet, but let’s practice how to write it in slope-intercept form.
Thus, the question is already giving us a slope, which is something needed.
Slope-Intercept Form: y = mx + b where m = slope
Now solve for b which it means for y-intercept.
The y-intercept is always located at the y-axis when x = 0. In this case, b = 2
Now let’s place the dimensions of what we have so far
y = -2x + 2
Then we’re going to use the point for point-slope form.
Point-Slope Form: y - y1 = m(x - x1)
To write the graph in point-slope form, use the Slope-intercept form to fill out the dimensions.
Slope-Intercept Form: y = -2x + 2
With the point: (4, -6)
“That means 4 = x1 and -6 = y1)
Point-Slope Form: y + 6 = -2(x - 4)
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Answered by: doomdabomb
*All brainliest answers are appreciated and would mean a lot to me*
Find the value of x and y from the following figure.
plzz help
Answers
A grocery store is having a "buy 2 get 1 free" promotion on their six-pack cans of orange juice. If Mrs. VanCleave decides to take advantage of this promotion everyday for a week, how many cans of orange juice will she have at the end of the week?
Answers
Each pack has 6
She buys 6*2 = 12+ 6 because it’s the free pack it’ll be 18 cans per purchase
If she does this for 7 days (a week )
We will do 18 times 7
18*7 = 126 cans
Mrs. VanCleave will have 126 cans of orange juice.
(Can you make me the brainlist if this helps you ) thanks
Solve the proportion below.
Answers
Answer:
Does the answer help you?
[MATH] I need help on all of them! Please and thank you <33
Answers
Answer:
2) 45
3) 25
4) 50%
5) 33.3%
6) 17.6
7) 500
8) 35%
9) 60
10) 87.5%
11) 2.64
12) 25%
13) 5.7
14) 85%
16) 75%
Step-by-step explanation:
2) 9 = 20% of x
9 * 5 = 45
3) 8% of x = 2
12.5 * 2 = 25
4) 39 = x(78)
39/78 = 1/2 = 50%
5) x(36) = 12
12/36 = 1/3 = 33.3...%
6) x = 0.8(22)
22/10 = 2.2
2.2* 8 = 16 + 1.6 = 17.6
7) 55 = 0.11(x)
55/11 = 5
5 * 100 = 500
8) 7/20 = 35/100 = 35%
9) 27 = 0.45(x)
27/45 = 3/5
3/5 * 100 = 300/5 = 60
10) . 49/56 = 7/8 = 0.875 = 87.5%
11) 6/100 = 0.06
0.06 * 44 = 2.64
12) 48/192 = 6/24 = 1/4 = 25%
13) 95/100 = 0.95
0.95 * 6 = 5.40 + 0.3 = 5.7
14) 68/80 = 34/40 = 17/20 = 85%
16) 108/144 = 9/12 = 0.75 = 75%
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
URGENT‼️NEED HELP ASAP
What is the distance between the vertical asymptotes of the two graphs f(x) and g(x)?
Answers
What are the solutions to the equation f(x)=g(x)?
A) x= -3, 4
B) x= -4, 2.5
C) x= -0.8, 2.5
D) x= 8, -8
Answers
Answer:
B
Step-by-step explanation:
The points where f(x) intersects g(x) are - 4 and 2.5. These points are the solution of the equation f(x)=g(x)
Answer:
(-4,8) and ( 2.5, -8)
Step-by-step explanation:
The solutions are where the two graphs intersect
They intersect at x = -4 and y = 8 and at x = 2.5 and y = -8
(-4,8) and ( 2.5, -8)
According to the graph what is the value of the constant in the equation below
Answers
Answer:
C. 1.5
Step-by-step explanation:
Step-by-step explanation:
Answer:
What is x+y
Explain your answer
Answers
Answer:
x + y = 0
Step-by-step explanation:
The problem states that variables x and y are the same distance away from 0 on the number line. Since x is at 4, it is 4 units away from 0. Assuming that x and y cannot be the same number, y would have to be at -4, because that is the only other number besides 4 that is 4 units away from 0.
If x and y can be the same number another possibility would be that y is also 4 making x + y = 8.
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[tex]\frac{x^2+10x+25}{8x+40}[/tex]
What is an equivalent expression in the lowest terms?
Answers
The final answer is (x+5)/8
Hope this helps please brainliest.
If A = -x + 2x - x + 1 and B = x² + 5, find A + B.
Answers
Answer:
6 + x^2
Step-by-step explanation:
Plug in the values for A and B.
(-x + 2x - x + 1) + (x^2 + 5)
Remove the parenthesis. Combine like terms.
-2x + 2x = 0
1 + x^2 + 5
Combine like terms again.
6 + x^2
The library has 2,730 books. If each shelf can hold 30 books, how many shelves will the library need to hold all of its books?
Answers
Answer:
2730÷30=91
Step-by-step explanation:
take the number of books and divide it by the number of books each shelve can hold and ull get ur answer
Use a calculator to find the mean of the
data. {22.1, 23.8, 20, 23.3, 20.2, 24.2, 21.8, 22.7, 21.2, 21.3, 21.7, 23.2, 19.1, 22.3, 22.1, 20.9, 20.7, 20.2, 23.3, 19.6, 20.7,
24.5}
Answers
The mean of the data is 21.6.
What is mean?The mean refers to the average of a set of values. The mean can be computed in a number of ways, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations).
Given data
{22.1, 23.8, 20, 23.3, 20.2, 24.2, 21.8, 22.7, 21.2, 21.3, 21.7, 23.2, 19.1, 22.3, 22.1, 20.9, 20.7, 20.2, 23.3, 19.6, 20.7, 24.5}
Sum of observations = 22.1 + 23.8 + 20 + 23.3 + 20.2 + 24.2 + 21.8 + 22.7 + 21.2 + 21.3 + 21.7 + 23.2 + 19.1 + 22.3 + 22.1 + 20.9 + 20.7 + 20.2 + 23.3 + 19.6 + 20.7 + 24.5 = 478.9
Number of observations = 22
Mean = [tex]\frac{Sum \ of \ observations}{Number \ of \ observations}[/tex]
Mean = [tex]\frac{478.9}{22}[/tex] = 21.6
The mean of the data is 21.6.
Find out more information about mean here
brainly.com/question/23706022
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Algebra 1 need help ASAP
Answers
Answer:
see explanation
Step-by-step explanation:
Given
10 - 3x < x + 30 ( subtract x from both sides )
10 - 4x < 30 ( subtract 10 from both sides )
- 4x < 20 ( divide both sides by - 4 and flip the sign )
x > - 5
