TRIGONOMETRY Review!
nometric Ratios: Find each trig rolio, Gve your answer as a fraction in simplest form.
Answers
Find H
[tex]\\ \rm\rightarrowtail H^2=36^2+15^2[/tex]
[tex]\\ \rm\rightarrowtail H^2=39^2[/tex]
[tex]\\ \rm\rightarrowtail H=39[/tex]
Now
[tex]\\ \rm\rightarrowtail sinR=\dfrac{P}{H}=\dfrac{15}{39}=\dfrac{5}{13}[/tex]
[tex]\\ \rm\rightarrowtail cosR=\dfrac{B}{H}=\dfrac{36}{39}=\dfrac{12}{13}[/tex]
[tex]\\ \rm\rightarrowtail tanR=\dfrac{P}{B}=\dfrac{5}{12}[/tex]
[tex]\\ \rm\rightarrowtail sinT=\dfrac{36}{39}=\dfrac{12}{13}[/tex]
[tex]\\ \rm\rightarrowtail cosT=\dfrac{5}{13}[/tex]
[tex]\\ \rm\rightarrowtail tanT=\dfrac{12}{5}[/tex]
Related Questions
Which products result in a difference of squares? check all that apply. (5z 3)(–5z – 3) (w – 2.5)(w 2.5) (8g 1)(8g 1) (–4v – 9)(–4v 9) (6y 7)(7y – 6) (p – 5)(p – 5)
Answers
Option second [tex]\rm (w-2.5)(w+2.5)[/tex] and option fourth [tex]\rm (-4v-9)(-4v+9)[/tex] are the products that result in a difference in squares
It is required to identify which products result in a difference of squares.
What is polynomial?Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.
We know that:
[tex]\rm (a^2-b^2)=(a+b)(a-b)[/tex]
In option first:
[tex]\\\rm= (5z+3)(-5z-3)\\\rm =-(5z+3)(5z+3)\\\rm =-(5z+3)^2[/tex]
It is not the difference between squares.
In option second:
[tex]\rm = (w-2.5)(w+2.5)\\\rm = (w^2-2.5^2)[/tex] By using [tex]\rm (a^2-b^2)=(a+b)(a-b)[/tex]
It is the difference between squares.
Similarly, in option third:
[tex]\rm = (8g+1)(8g+1)\\\rm = (8g+1)^2[/tex]
It is not the difference between squares.
Similarly, in option forth:
[tex]\rm = (-4v-9)(-4v+9)\\\rm = (4v+9)(4v-9)\\\rm = (4v)^2-9^2[/tex]
It is the difference between squares.
Similarly, in option fifth:
[tex]\rm = (6y+7)(7y-6)\\\rm = 42y^2+13y-42[/tex]
It is not the difference between squares.
Similarly, in option sixth:
[tex]\rm = (p-5)(p-5)\\\rm = (p-5)^2[/tex]
It is also not the difference between squares.
Thus, option 2 and option 4 are correct.
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Find the slope PERPENDICULAR to line AB
Answers
The coefficient of b² in 5a²b² is ______
Answers
Answer: the coefficient is 5
Write down the equation of a straight line with a gradient m= 1/2 which passes through the point (0,7)
Answers
7=(1/2)(0)+c
c=7
y = 1/2 X + 7
Please give brainliest, and I hope you do well!
Answer:
y=mX+c
7=(1/2)(0)+c
c=7
y = 1/2 X + 7
Step-by-step explanation:
Please brainleist
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°ω°
What is the simplest form of this expression?
6b(-2b + 1) + 862
Enter the correct answer.
Answers
Answer:
-12b² + 6b + 862
Step-by-step explanation:
[tex](6b)(-2b)+(6b)(1)+862[/tex] [tex]-12b^2+6b+862[/tex]Answer:d
Step-by-step explanation:
I'm thinking of 2 numbers that are multiples of BOTH 10 and 5. Which numbers could be my number?
Answers
Answer:
any numbers that are multiples of 10, such as
10 and 20
40 and 60
50 and 80
Step-by-step explanation:
Because 5 is a factor of 10, all multiples of 10 will also be multiplies of 5, such as 10, 20, 30, 40, 50, 60, and so on.
A person invests 6500 dollars in a bank. The bank pays 4% interest compounded daily. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 8900 dollars?
Answers
The time required for the invested money to reach the accrued amount is 8 years.
What is the time required to acquire the accrued amount?The compound interest formula is expressed as;
A = P(1 + r/n)^(n*t)
Where A is accrued amount, P is principal, r is rate, and t is time.
Given that;
Principal P = $6500Interest rate r = 4% = 4/100 = 0.04Compounded daily n = 365 dayAccrued amount A = $8900?Plug the given values into the compound interest formula and solve for time t.
A = P(1 + r/n)^(n*t)
t = In(A/P) / n[ In( 1 + r/n ) ]
t = (In( $8900 / 6500 )) / ( 365[ In( 1 + 0.04/365 ) ] )
t = (In( $8900 / 6500 )) / ( 365[ In( 1 + 0.04/365 ) ] )
t = 7.857
t = 8 years.
Therefore, the required time is 8 years.
Learn more about compound interest here: brainly.com/question/27128740
#SPJ1
Answer:7.9
Step-by-step explanation:
I have to classify what shape it is... what is number 5
Answers
Answer:
Its a parallelogram
Hope you have a great day!
The table of values below represents a linear function and shows the weight of a kitten as it has grown. What is the output for the initial value?
Weight of a Kitten
Kitten’s Age (weeks)
2
4
6
8
10
Weight (pounds)
0.8
1.4
2.0
2.6
3.2
a.0.2 pounds
b.0.3 pounds
c.0.6 pounds
d.0.8 pounds
Answers
Answer:
A. 0.2 pounds
Step-by-step explanation:
I just did it on edge.
Answer:
a 0.2
Step-by-step explanation:
Please help me if you can and thank youuuu :)))))
Answers
Answer:
12 crew members
Step-by-step explanation:
to find out this question you should first make 66 2/3% into a fraction
that is 99.99...% percent which is also 2/3
you can then divide 8 men by 2/3
that is 8/1 divided by 2/3 which is essentially 8/1 * 3/2
that turns into 12
that means there are 12 crew members
Solve for x. SHOW YOUR WORK.
Answers
Based on the vertical angles theorem we can assume that the angles are equal to each other so:
7x-25 = 4x + 2
Now find the value of x
Subtract 4x to both sides
3x - 25 = 2
Add 25 to both sides
3x = 27
Divide by 3 to isolate x
x = 7
determine the solution to each linear system by using the substitution method
y=4x+2
y=3x-2
Answers
Answer:
The solution is x = -4
Step-by-step explanation:
y=4x+2
we can see here that y equals 4x+2
y =3x-2
The y here is the same y, therefore we ban subtitute the first equation into the second one, like this:
y =3x-2
4x+2 = 3x-2
now just solve it algebraically.
4x + 2 - 3x = 3x -2 -3x
x +2 -2 = -2 -2
x = -4
The solution is x = -4
The measure of one angle is 130°. Which statement is true regarding the 130° angle and angle 3? They are same-side interior angles, so angle 3 measures 50°. They are alternate interior angles, so angle 3 also measures 130°. They are corresponding angles, so angle 3 also measures 130°. They are alternate exterior angles, so angle 3 measures 50°.
Answers
Answer:
Option B. ∠3 = 130°
Step-by-step explanation:
In the given question a, b, c are the parallel wires and pipe cleaner is the transverse.
Now we take two parallel wires a, c and pipe cleaner as transverse then
we have to find the relation between angle 4 and 130°
∠4 = ∠9 [ alternate interior angles ]
∠3 = 130° [ they are the alternate interior angles ]
Therefore option B. is the correct option.
Answer:
B. They are alternate interior angles, so angle 3 also measures 130°.
Step-by-step explanation:
Which would prove that ab ≅ ac? converse of the isosceles triangle theorem substitution definition of congruency converse of the triangle parts relationship theorem
Answers
From the AAS property of congruency the side ab≅ac in the isosceles triangle.
What is the congruency of the triangle?Congruency generally shows the similarities between two triangles or any other shape for the similarity of the two shapes they should have any three properties same like their three sides, Three angles or one angle two sides and so on.
Now for an Isosceles triangle abc given in the figure
[tex]\angle bad=\angle cad[/tex]
[tex]\angle abd=\angle acd[/tex]
[tex]ad=ad[/tex] (common side)
So from the AAS property, the triangle [tex]\Delta bad=\Delta acd[/tex] are congruence
The side ab will also be equal to the side ac.
So from the AAS property of congruency is the side ab≅ac in the isosceles triangle.
To know more about congruency follow
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Answer:
The answer would be "A". Converse of the isosceles triangle theorem.
Step-by-step explanation:
You're Welcome :)
cuales son los factores de 420
Answers
Answer:
Los que estan en casillas son los factores de 420. Espero y te ayude.
Step-by-step explanation:
difference between mass and weight
Answers
Mass is how much "matter" something is. Weight is this with respect to gravity. Therefore, if you took a ball to the moon, its mass would not change because the amount of matter is unaffected but the weight will change because the Earth and the Moon have different gravitational pulls.
Hope this helps!!
Terri Clifford bought a Sunday dress for $36. The sales tax was 6%. Find the total cost of the dress
Answers
Answer: $38.16
Step-by-step explanation:
Finding total costs with sales tax is really quite simple. Here is the formula.
O x P + O
use key below.
1. Solve
= 36 x 0.06
= $2.16
= 2.16 + 36
= $38.16
Key:
O = Original Price
P = Sales Tax Percentage
I hoped this answer helped your wonderful, creative minds. Keep working hard, and touch the stars.
- Mona May
A washing machine has a marked price of $1200. If 15% DISCOUNT is given. How much would be the sale price?
Answers
Answer:
$1020
Step-by-step explanation:
Since 15% is taken away, the total price would be $1,020. This means that the sales price is 85% of the price.
what the midpoint between the point 2,6 and "-4,6
Answers
Answer: (-1, 6)
Step-by-step explanation:
Use the midpoint formula:
(Xm, Ym) = ([x1 + x2]/2, [y2 + y1]/2)
(Xm, Ym) = ([2 + -4]/2, [6 + 6]/2)
(Xm, Ym) = (-2/2, 12/2)
(Xm, Ym) = (-1, 6)
The midpoint is (-1, 6)
[tex]15+3-47+462-424+35-52+48[/tex]
Answers
Answer:
40
Step-by-step explanation:
Use PEMDAS and follow the operations from left to right
Answer:
40
Step-by-step explanation:
use addition and subtraction to get answer
Answer both please!
Help!!!
Answers
Answer:
B
Step-by-step explanation:
Adjacent means 'next to'. Angles 1 and 4 are next to angel 3, on the top and to the right.
(07.05)
A random sample of students at Spectrum University was asked to estimate
the average number of minutes they spent on social media per day and their
grade point average (GPA). The data are shown in the table.
Minutes Spent on Social
Media
35 58 61
64 72 75 79 101 115
Grade Point Average
3.9 3.6 3.55 3.5 3.2 3.5.3 2.8 2.5
A researcher wants to determine whether there is a relationship between the
number of minutes spent on social media each day and GPA. What are the
appropriate testing hypotheses?
Answers
The appropriate testing hypotheses to determine whether there is a relationship between the number of minutes spent on social media each day and GPA is c H.o: B = 0, Ha: B ≠ 0.
What is hypothesis testing?Hypothesis testing simply means an act in statistics whereby an analyst tests an assumption regarding a population parameter.
In this case, from the complete question, the hypotheses to determine whether there is a relationship between the number of minutes spent on social media each day and GPA is H.o: B = 0, Ha: B ≠ 0.
This is essential to provide evidence concerning the plausibility of the hypothesis with the data given.
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A school typically sells 500 yearbooks each year for $50 each. The economics class does a project and discovers that they can sell 100 more yearbooks for every $5 decrease in price. The revenue for yearbook sales is equal to the number of yearbook sold times the price of the yearbook. Let x represent the number of $5 decreases in price. If the expression that represents the revenue is in the form R(x)=(500+ax)(50-bx). Find the values of a and b.
Answers
we have to calculate the values of A and B, so we have to:
[tex]A=100\\B=5[/tex]
Since the equation is:
[tex]R(X)=(500+ax)(50-bx)[/tex]
And the following information was given:
A school typically sells 500 yearbooks each year for $50 each.
The economics class discovers that they can sell 100 more yearbooks for every $5 decrease in price.
So knowing that by increasing 100 more books sold this is equal to A and the decrease in value is going to be equal to b.
[tex]R(X)=(500+100x)(50-5x)[/tex]
See more about equation at brainly.com/question/2263981
The late fee for a library book is $2.50 plus an additional 20 cents per day. If the total charge was 3.10, how many days late was the book?
Answers
Answer:
4 Days Late
Step-by-step explanation:
The first is 2.50, then 20 per day.
Solve the equation.
Z
-7=
3
12
7
Oz=
3
Oz=2
Oz=-21
Oz=21
Answers
Answer:
What is equation?
Step-by-step explanation:
Work out the perimeter of a semicircle with radius 3 cm
Give your answer in terms of Pie
Answers
Answer:
3π
Step-by-step explanation:
Perimeter of circle = 2rπ
r = 3
P = 6 π
semicircle = 1/2 circle
P = 3π
y= -4 +6
3x + 4y = -2
Is (2, 2) a solution of the system?
Help!
Answers
Answer:
[tex]{y,x}={2,-10/3}[/tex] ( No)
Step-by-step equation:
System of Linear Equations entered :
[1] y=-4+6
[2] 3x+4y=-2
Equations Simplified or Rearranged :
[1] y = 2
[2] 4y + 3x = -2
Graphic Representation of the Equations :
0? + y = 2 3? + 4y = -2
Solve by Substitution :
// Solve equation [1] for the variable y
[1] y = 2
// Plug this in for variable y in equation [2]
[2] 4•(2) + 3x = -2
[2] 3x = -10
// Solve equation [2] for the variable x
[2] 3x = - 10
[2] x = - 10/3
// By now we know this much :
y = 2
x = -10/3
We are done
Solution :
{y,x} = {2,-10/3}
#3 and 4, show work please
Answers
Answer:
Question 3: 2.7 hours
Question 4: 2.3 hours
Step-by-step explanation:
Question 3:
Time taken by 1st delivery driver = t1 = 6 hours
Time taken by 2nd delivery driver = t2= 5 hours
Time together = T
[tex]{\dfrac{ 1 }{ T } = \dfrac{ 1 }{ t1 } + \dfrac{ 1 }{ t2 }}[/tex]
[tex]{\dfrac{ 1 }{ T } = \dfrac{ 1 }{ 6 } + \dfrac{ 1 }{ 5 }}[/tex]
[tex]{\dfrac{ 1 }{ T } = 0.166+0.2 = 0.366}[/tex]
[tex]{T = \dfrac{ 1 }{ 0.366 } = 2.732}[/tex]
Rounded to the nearest tenth: 2.7 hours
Question 4:
The first valve takes 4 hours to completely drain = t1
[tex]\mathrm{Rate\:for\:first\:valve\:will\:be\:\dfrac{1}{4}\:per\:hour}[/tex]
The second valve taken 5.25 hours to completely drain = t2
[tex]\mathrm{Rate\:for\:second\:valve\:will\:be\:\dfrac{1}{5.25}\:per\:hour}[/tex]
Combined time = T
[tex]{\dfrac{ 1 }{ T } = \dfrac{ 1 }{ t1 } + \dfrac{ 1 }{ t2 }}[/tex]
[tex]{\dfrac{ 1 }{ T } = \dfrac{ 1 }{ 4 } + \dfrac{ 1 }{ 5.25 }}[/tex]
[tex]{\dfrac{ 1 }{ T } = 0.25+0.190 = 0.44}[/tex]
[tex]{T = \dfrac{ 1 }{ 0.44 } = 2.272}[/tex]
Rounded to the nearest tenth: 2.3 hours
yo please help meee with this question
Answers
Answer:
34
Step-by-step explanation:
A hotel manager needs to buy beds and chairs. He has a total budget of 2000 dollars, and each bed costs $150 and each chair costs $50. Write an inequality to describe the possible number of beds and chairs that he can buy. If he buys 6 beds, what is the maximum number of chairs he can buy?
Answers
Answer:
The maximum number of chairs he can buy is C ≤ 22
Step-by-step explanation:
Let B represent the number of beds the hotel manager can buy.
Let C represent the number of chairs the hotel manager can buy.
Putting this into an expression, we have:
150B + 50C ≤ 2000
Since the hotel manager buys 6 beds, putting this into the information above:
150 (6) + 50C ≤ 2000
900 + 50C ≤ 2000
50C ≤ 2000 - 900
50C ≤ 1100
C ≤ 22