Answers
Answer:
[tex]\cos(\theta) = -\frac{\sqrt{17}}{6}[/tex]
Step-by-step explanation:
Given
[tex]\tan(\theta) = -\sqrt{\frac{19}{17}}[/tex]
Required
Determine [tex]\cos(\theta)[/tex]
We have:
[tex]\tan(\theta) = -\sqrt{\frac{19}{17}}[/tex]
Split
[tex]\tan(\theta) = -\frac{\sqrt{19}}{\sqrt{17}}[/tex]
tan is calculated as:
[tex]\tan(theta) = \frac{opposite}{adjacent}[/tex]
So:
[tex]Opposite = -\sqrt{19[/tex]
[tex]Adjacent = \sqrt{17[/tex]
And:
[tex]Hypotenuse^2 = Opposite^2 + Adjacent^2[/tex] --- Pythagoras theorem
[tex]Hypotenuse^2 = (-\sqrt{19})^2 + (\sqrt{17})^2[/tex]
[tex]Hypotenuse^2 = 19 + 17[/tex]
[tex]Hypotenuse^2 = 36[/tex]
Take square roots
[tex]Hypotenuse = 6[/tex]
[tex]\cos(\theta) = \frac{Adjacent}{Hypotenuse}[/tex]
[tex]\cos(\theta) = \frac{\sqrt{17}}{6}[/tex]
Since it is in the second quadrant, then:
[tex]\cos(\theta) = -\frac{\sqrt{17}}{6}[/tex]
Related Questions
an object has a mass of 24 grams and a volume of 6cm3. what is the density
Answers
Answer:
4 grams
Step-by-step explanation:
What is the volume of a cone
Answers
I need help with this one. I will give someone brainliest.
Answers
What correlations can you use when one or more of the variables are measured on an ordinal scale?
Answers
HEY
For variables at ordinal level use Spearman's correlation. However, Chi-Square is also suitable to use for test of significance with cross tabulation of ordinal level data
thank me later
carryonlearing
✨ jufaith ✨
Help. i need it ASAP
Answers
Answer:
The third choice is correct.
Step-by-step explanation:
Evaluate the expression 3 x ; for x = 7
Answers
This would become 3(7) because of x = 7 in the original equation of 3x and the answer would be 21.
Answer:
3(7)= 21
Step-by-step explanation:
3 x
This means you are multiplying.
x = 7
3(7)= 21
this can explain everything . please help
Answers
35 - 45 / 9 x 5
Divide 45 by 9 to get 5.
35 - 5 x 5
Multiply 5 and 5 to get 25.
35 - 25
Subtract 25 from 35 to get 10.
= 10
co-efficint of (-xy²) in -5x³y²z⁴
Answers
[tex]-5x^3y^2 z^4 = 5x^2z^4(-xy^2)\\\\\text{The coefficient of}~ (-xy^2) ~\text{is }~ 5x^2 z^4.[/tex]
Which pair of triangles can be proven congruent by SAS?
Answers
Answer:
The first one
Step-by-step explanation:
SAS postulate says that if two sides and the included angle of a triangle are equal to two sides and the included angle of another triangle, then the one triangles are said to be congruent.
What is g(x)?
10-
у
5
X
+
10
d
A
-5
-10
A. g(x) = -1x1
B. g(x) = -x
C. g(x) = -x2
D. g(x) = -2X
Answers
C
Step-by-step explanation:
This has a U like shape so it a parabola.
Parabola correlate with quadratic functions
[tex]y = {ax}^{2} + bx + c[/tex]
Since it Going down, the answer is C -x^2.
The function whose graph is given is g(x) = -x²
What is a function?A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given that a graph, we need to find its function,
Since, the graph is a curve opened downwards, so it is a parabola, opened downwards,
The equation of the parabola is given by y = ax²+bx+c
Therefore, out of the given options we can say that the function is y = x²
Hence the function whose graph is given is g(x) = -x²
Learn more about functions, click;
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an amount ogf $3700 id deposited into an account that pays 8.25% confounded semi-annually. how much money eill you receive in 15 years
Answers
Answer: The answer is seventeen
Step-by-step explanation:
i just answered this question
If answer is correct you will be marked as brainliest
What is the discriminant of the polynomial below?
4x^2+4x+1
A. 32
B. -12
C. -4
D. 0
Answers
Answer:
Discriminant is [tex] {b}^{2} - 4 \times a \times c [/tex]
[tex]16 - 4 \times 4 \times 1 = 0[/tex]
As a car ages, its value decreases. The value of a particular car with an original purchase price of $27, 200 is modeled by the following function, where
c is the value at time t, in years.
c(t) - 27, 200(1 -0.21)
a. What is the value of the car when it is 4 years old?
The value of the car after 4 years is Sl
b. What is the total depreciation amount after 5 years?
After 5 yehrs, the total depreciation amount is s[
Answers
a. The value of the car when it is 4 years old is approximately $13,645.23.
b. The car has depreciated by about $16,367.54 after 5 years.
To find the value of the car when it is 4 years old, we can substitute t = 4 into the given function:
c(4) = 27,200(1 - 0.21)^4
c(4) = 27,200(0.79)^4
c(4) ≈ 13,645.23
b. To find the total depreciation amount after 5 years, we need to find the difference between the original purchase price ($27,200) and the value of the car after 5 years. Using the function given, we can find the value of the car after 5 years by setting t = 5:
c(5) = 27,200(1 - 0.21)^5
c(5) = 27,200(0.79)^5
c(5) ≈ 10,832.46
Therefore, the total depreciation amount after 5 years is:
27,200 - 10,832.46 ≈ $16,367.54
For such more questions on value
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A square tile has sides of 20 cm how many tiles are needed to cover an area of 3 m by 1.8m
Answers
Answer:
135 tiles
Step-by-step explanation:
3 x 1.8 = 5.4 (m2)
20 cm = 0.2 m
0.2 x 0.2 = 0.04 (m2)
5.4 / 0.04 = 135 (tiles)
An account earns simple interest. Find the annual interest rate. I = $60 P = $500 t = 2 years The annual interest rate is %. 10
Answers
Answer:
100
Step-by-step explanation:
A = P(1 + rt)
A = 500(1 + (0.1 × 2)) = 600
A = $600.00
600-500= 100
A test has twenty questions worth 100 points. The test consists True/False questions worth 3 points each and multiple choice questions worth 11 points each. Howmany multiple choice questions are on the test?
Answers
Multiple choice questions = 5
True questions = 15
Given that:
Total number of questions = 20
Total worth of point = 100
Multiple choice questions (M) = 11 points each
True false questions (T) = 3 points each
Hence,
M + T= 20 ____(1)
11M + 3T = 100 ____(2)
M = 20 – T
Using the relation in (2)
11(20 – T) + 3T= 100
220 – 11T + 3T= 100
220 – 8T = 100
-8Tf = 100 – 220
-8T = – 120
T = 120/8
T = 15
Mc = 20 – 15
Mc = 5
Multiple choice questions = 5
True false questions = 15
What is the slope of this line?
Enter your answer as a whole number or a fraction in simplest form in the box.
Answers
Answer:
y = 2
Step-by-step explanation:
there is no slope but the line is at 2 so 2 is the y-intercept so y = 2.
90.8 is 39% of what?
Answers
Answer:
232.820513
Step-by-step explanation:
Let the number you are looking for is x,
equation,
90.8 * x = 39
90.8/39 = 2.32820513
Now we multiply 100 because we are dealing with percentages so,
2.32820513 * 100 = 232.820513
So, the answer is 232.820513
Hope this helps! Good luck to everyone!
find the slope of (5,-6) and (-1,8)
Answers
the slope is -14/6 or the simplified version is -7/3
Type the correct answer in each box.
Quadrilateral EBCD is an isosceles trapezoid with m∠EDC = 110°, m∠ABC = 133°, and m∠DEA = 114°.
m∠DEB = __°
m∠BCD= __°
m∠EAB= __°
Answers
Answer:
m∠DEB = _70_°
m∠BCD= _110_°
m∠EAB= _73_°
Step-by-step explanation:
To find ∠DEB:
Take the angle of ∠EDC, which is 110°. We know the total degree in a triangle is 180°. So, we do 180° - 110° to get 70°.
To find ∠BCD:
Because EBCD is an isosceles trapezoid, this means that ∠D and ∠C both have the congruent angles. Since we know ∠EDC is 110°, this means that ∠C is also 110°.
To find ∠EAB:
We know that m∠ABC is 133° and ∠DEA is 114°. However, both angles count both the triangle and trapezoid. Previously we figured out that ∠DEB is 70°. We'll take the angle of ∠DEA and subtract the angle of ∠DEB from it, which gets us 44°. To figure out the angle of ∠B, we take the angle of ∠ABC and subtract 70° or the angle of ∠DEB, which gets us 63°. Now we take the total degree of a triangle, 180° and minus both 44° and 63° from it, which is 73°.
- 2021 Edmentum
is it 90 IF NOT CAN SOMEONE TELL ME please
Answers
Answer:
90Step-by-step explanation:
1000 + 500 = 1500mg (for 1 day)
1500 * 30 = 4500mg (1 month)
4500 : 500 = 90 tablets
Create your own example for each cases of multiplying
polynomials
Case 1: Distributive Property
Case 2: FOIL Method
Case 3: Binomial to Polynomial
Pls needed badly
If you have nothing to answer dont answer
Answers
Step-by-step explanation:
CASE 1:2x(3x+7) = 6x^2+14x.CASE 2:(2x + 3)(3x – 1)CASE 3:x2 + 4x8g-f g=-1 f=4 Please show work I have no clue how to do it
Answers
The town of Winchester recently built an artificial body of Vater. This reservoir will store drinking water for the
town. Which of the following could cause contamination of the water and lead to human health-related problems
and loss of native species?
development of a water quality plan
B building a fence around the reservoir
C improvements to a water treatment facility
increased use of pesticides (chemicals) by farmers within the local watershed
Answers
Answer:
This reservoir, will store drinking water for the town. Which of the following could cause contamination of the water and lead to human health-related problems and loss of native species? ... Air pollution can affect human health and the health of other living things.
Step-by-step explanation:
if (a+b)^2=54, and (a-b)^=46, then a^2+b^2=?
Answers
[tex](a+b)^2 =a^2 +b^2 + 2ab = 54~~~.....(i)\\\\(a-b)^2 = a^2 +b^2 -2ab = 46~~~.....(i)\\\\\\(i)+(ii):\\\\(a+b)^2 +(a-b)^2 = 54+46\\\\\implies a^2 +b^2 + 2ab + a^2 +b^2 - 2ab =100\\\\\implies 2a^2 +2b^2 =100\\\\ \\\implies 2(a^2 +b^2) =100\\\\\implies a^2 +b^2 = \dfrac{100}2 = 50[/tex]
What reaction did Pocahontas's people have to her helping the Jamestown colonists?
Answers
Answer:
They were very angry about her helping the colonists.
Step-by-step explanation:
2
2
iw
Question 2 (1 point)
1) Listen
5
Opening an industry to international competition tends to:
O increase X-inefficiency.
O force lazy monopolists to increase efficiency.
O increase the incidence of lazy monopolists.
raise a monopolist's profit as the price is driven up.
Answers
Answer:
increse X-inefficiency is the answer
Step-by-step explanation: im here to help
HELP!!!!
Solve, 4/9 - 4/10
Answers
Answer:
[tex]\frac{2}{45}[/tex]
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
4/10 times 9 = 36/90
40/90-36/90= 4/90 or 2/45 (simplified)
6. Give examples of methods to safeguard inventory.
Answers
Answer:
1. Security Technology. ...
2. Security Personnel. ...
3. Inventory Audits. ...
4. Just-in-Time Inventory.
Step-by-step explanation:
Reviewing a few examples of safeguarding inventory can shed light on common inventory security methodologies, helping you to implement the ideal inventory safeguards for your business.
Security Technology. ...
Security Personnel. ...
Inventory Audits. ...
Just-in-Time Inventory.
I need help with this.
Answers
Answer:
check online for more information
