Answers
Step-by-step explanation:
sin b= opposite/hypotenuse
sin b = 60/61
sin = opposite/hypotenuse
The opposite of b is opposite
The hypotenuse is always 61
Hope this helps
Related Questions
Find the measure of the missing angle.
30°
a=
Answers
Answer:
the measurement of a is 60°............
Answer:
A=60
Step-by-step explanation:
it adds up to 180 so subtract 30 and 90 for the right angle and you got 60
Suppose you are exchanging currency in the London airport. The currency exchange service there only makes transactions in which one of the two currencies is British pounds, but you want to exchange dollars for Euros. Thus you first need to exchange dollars for British pounds, then exchange British pounds for Euros. At the time you want to make the exchange, the function f for exchanging dollars for British pounds is give by the formula:
f(d)=0.69d−1
and the function gg for exchanging British pounds for Euros is given by the formula
g(p)=1.3p−2
Required:
a. Find a formula for the function that exchanges dollars in return for Euros.
b. How many Euros would you receive for exchanging 450 dollars after going through this two-step exchange process?
c. How many dollars would you need to exchange in order to end up with 60 Euros after this two-step exchange process?
Answers
The two-step exchange process is an illustration of composite functions
The function that converts dollars to Euro is [tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]You would receive 400.35 Euros, when you exchange 450 dollarsYou would receive 70.6 dollars, when you exchange 60 EurosConverting from dollars to British pounds, we have:
[tex]\mathbf{f(d) = 0.69d - 1}[/tex]
Converting from British pounds to Euro, we have:
[tex]\mathbf{g(p) = 1.3p - 2}[/tex]
(a) Function that converts dollars to Euro
To do this, we simply calculate gf(d)
So, we have:
[tex]\mathbf{g(f(d)) = 1.3f(d) - 2}[/tex]
Substitute [tex]\mathbf{f(d) = 0.69d - 1}[/tex]
[tex]\mathbf{g(f(d)) = 1.3 \times (0.69d - 1) - 2}[/tex]
Expand
[tex]\mathbf{g(f(d)) = 0.897d - 1.3 - 2}[/tex]
[tex]\mathbf{g(f(d)) = 0.897d - 3.3 }[/tex]
Rewrite as:
[tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]
Hence, the function that converts dollars to Euro is [tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]
(b) Euro equivalent of $450
In (a), we have [tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]
Substitute 450 for d
[tex]\mathbf{g(450) = 0.897 \times 450 - 3.3 }[/tex]
[tex]\mathbf{g(450) = 403.65 - 3.3 }[/tex]
[tex]\mathbf{g(450) = 400.35}[/tex]
Hence, you would receive 400.35 Euros, when you exchange 450 dollars
(c) Dollar equivalent of 60 Euros
In (a), we have [tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]
Substitute 60 for g(d)
[tex]\mathbf{60 = 0.897d - 3.3 }[/tex]
Add 3.3 to both sides
[tex]\mathbf{0.897d = 63.3 }[/tex]
Divide both sides by 0.897
[tex]\mathbf{d = 70.6}[/tex]
Hence, you would receive 70.6 dollars, when you exchange 60 Euros
Read more about composite functions at:
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A rectangle has an area of 24cm Function f gives the length of the rectangle, in centimeters when the width is w cm. Determine if each value,
in centimeters, is a possible input of the function
3 0.5 42 60
Answers
Answer:
Yes
Step-by-step explanation:
f = 24/w
Just plug in each one, would only be an error if denominator would = 0
Bo has $500 in his savings account. He plans to add $150 to his savings account every month. Recently, he purchased a tractor to use on his farm for $4,000. He plans to pay off the total price of the tractor over time by paying $200 a month from a separate account. How much will Bo have in his savings at the time he pays off the tractor in full? A. $3,500 B. $3,000 C. $2,150 D. $2,000.
Answers
Answer:
D. $2,000
Step-by-step explanation:
Found this answer somewhere and it made sense so I hope its correct :D
Answer:
it is 3500 You take 4000 divide by 200 which is 20 months then take 150 times 20 equals 3000 then add 500
Step-by-step explanation:
-4x + 60 < 72 or 14x + < -31
Answers
x=31/14
Step-by-step explanation:
I did the second one btw
Somebody plz help ????? I need the answer to this
Answers
Answer:
I was thinking it should be -1,2 but that'd not an awnser so B
What is more important: to formulate a believable, testable hypothesis or to develop a good strategy to test the hypothesis accurately
Answers
Answer:
It's a matter of opinion. In my opinion you can hypothesize all you want, when you get to do it in practice it's almost 100% garantee of failure or incomplete hypothesis. So testing is way more important IMO.
Step-by-step explanation:
If S = 1/2, what number does 4s equal?
Answers
Step-by-step explanation:
If [tex]s=\frac{1}{2}[/tex], then:
[tex]4s=4(\frac{1}{2})\\\\4s=\frac{4}{2}\\\\4s=2[/tex]
The number 4S equals if S = 1/2 is 2, 4S = 2.
What is multiplication?One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical sizes.
Given:
S = 1 / 2
Calculate the value of 4S as shown below,
4 × S = 4 × 1 / 2
4S = 2
Thus, 4S = 2
To know more about multiplication:
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I really need help with this and happy thanksgiving
Answers
Answer:
C (-2,2)
D (1,-2)
Step-by-step explanation:
happy thanksgiving!
4. What are the zeroes
of y = x^2 + 2x – 8? (1 point)
-4, 2
4, 2
-4,2
4, 2
Answers
Answer:
-4,2
Step-by-step explanation:
(x-2) (x+4)=0
x-2=0
x=2
x+4=0
x= -4
Answer:
x=-4, x=2
Step-by-step explanation:
Whenever a question asks you to find the zeros of a quadratic equation, they are essentially asking you to find the x-intercepts. To find the x-intercepts, you simply need to equate y to zero and solve for x.
There are two main ways to find the intercepts - by the quadratic formula and factoring. I will demonstrate both below.
When factoring, a popular method is the diamond box method. First, make an x on your paper. In the top nook of the x, write the product of a and c in y=ax^2 +bx +c. Here, it is -8*1=-8. In the bottom nook, write the b value. Here it is 2. Find two numbers that multiply to ac or -8 and add up to b or 2 and write them in the side nooks. In this problem, they are 4 and -2 (4*-2=-8 and 4+(-2)=2). Then, make a box. On the top left corner, write the first term (here it is x^2) and on the bottom right corner write the constant term (here it is -8) and write the two values you found earlier in the remaining boxes. Now, find values that multiply to each of the respective terms. Sorry, this sounds super confusing, I have included a picture below of what the result should look like. Once you have it factored, make y equal to zero and solve for both x's. You should get x=2 and x=-4. Keep in mind, sometimes, a problem might not be factorable. If it isn't, you have to use the method below.
Another popular way to find the roots is the quadratic formula. I have included a picture of it below. All you have to do is substitute the coefficients in and solve for x. You should get two solutions in this scenario.
What is 1 and 1/4 - 3/8?
Answers
Answer:
7/8
Step-by-step explanation:
1 and 1/4 would equal 5/4. This would be 5/4-3/8, which equals 10/8-3/8=7/8
Answer:
0.875
Step-by-step explanation:
Find the value of p for which x³+4x²-px+8 is exactly divisible by (x-2) is_____.
Answers
Given Polynomial P(x) = x^3+4x^2-px+8
Given that P(x) is exactly divisible by (x-2) then by
factor theorem it is a factor and P(2) = 0
⇛ (2)^3+4(2)^2-p(2)+8 = 0
⇛8+4(4)-2p+8 = 0
⇛ 8+16-2p+8 = 0
⇛ 32-2p = 0
⇛32 = 2p
⇛ 2p = 32
⇛ p = 32/2
⇛ p = 16
Answer:- The value of p is 16.
Read more:
Similar Questions
Find the value of p for which the polynomial 3x^3 -x^2 + px +1 is exactly divisible by x-1, hence factorise the polynomial...
https://brainly.com/question/12852511?referrer
Answer:
16.
Step-by-step explanation:
By the Factor Theorem if a polynomial is divisible by (x - a) then f(a) = 0 so here we have:
f(2) = 2^3 + 4(2)^2 - 2p + 8 = 0
-2p + 32 = 0
p = 16.
Work out the percentage change to 2 decimal places when a price of £189 is decreased to £150.
Answers
Answer:
20.63%
Step-by-step explanation:
189-20.63%=150,0093
Answer:
20.63%
Step-by-step explanation:
% change = (New Value - Initial Value)/(Initial Value) * 100
= (150-189)/189 * 100
= -20.63%
Though the value comes as negative but it only indicates that it is a percentage decrease. As the question mentioned that the value is decreased, the final answer would be only 20.63%.
Hopefully this helps!!
The ratio of roses to carnations to daisies in
a flower bouquet is 2:5:6. The bouquet has
39 flowers. How many carnations are in the
bouquet?
Answers
Answer:
10
Step-by-step explanation:
10 10 10 1010 10 101 10 10 1o
Help please I really don’t understand due tomorrow
Answers
Answer:
x≥21
Step-by-step explanation:
1) Multiply both sides by the denominator (3)
x+21≥42
2)Move the constant to the right (21)
x≥42-21
3) Calculate it
x≥21
Peter made 19 1/8 cups of chili for the
football game. If 14 3/4 cups of the chili were
eaten, how many cups of chili did Peter have left over
have left over?
Answers
Answer:
4.38, aka 219/50
Step-by-step explanation:
2. A certain 80 cm spring will stretch (in cm) three-sixteenths the weight (in kg) attached to
it. How long will the spring be if a 15-kg weight is attached to it?
Answers
Answer number 11 to see if your smarter than my students
Answers
the awnser 2=2=2=2=22=2=2=2=2=2+0+7867+
Please help me. I’m so confused
Answers
Answer:
probably 2.............
Need help on this! Plz help
Answers
Answer:
54 degrees
Step-by-step explanation:
First, I need to find the value of t.
So, I create an equation. Angle BPK is a right angle, so I can just add the two inner angles and set it equal to 90.
(8t + 6) + (3t + 18) = 90
Now, just solve for t.
11t + 24 = 90
11t = 66
t = 6
Finally, substitute 6 in for t.
8(6) + 6
48 + 6
54
Find -5(-12) + (-15)
With explanation please i forgot how to do it
Answers
Answer:
45
Step-by-step explanation:
-5(-12)+(-15)
--> Multiply -5 and -12 to get 60
60-15
--> Subtract 15 from 60 to get 45
Hope this helps you!
A nurse spent 83% of a 12-h shirt caring for patients. How many hours were devoted to patient care?
Answers
Answer:
9.96
Step-by-step explanation:
12 * .83
Answer:
10 hours
Step-by-step explanation:
83% of 12 hours = 0.83 * 12 hours = 10 hours
6) Convert 2pie/3 to degrees
A) 30°
B) 60°
120°
D) 240°
Answers
Which division is shown by the model?
1. 2 divided by 3/4 =2
2. 3 divided by 3/4= 4
3. 2 divided by 2/3= 3
4. 2 divided by 2/3=3
Answers
Answer:
C, you chose the correct answer! Good job. ¯\_(ツ)_/¯
Step-by-step explanation:
3÷[tex]\frac{2}{3}=3[/tex]
Mark brainliest if possible, it's always appreciated. ¯\_(ツ)_/¯
Hope this helps!
-❤AbqveNatural❤
Answer:
e
Step-by-step explanation:
e
what is the gcf of 8 and 11?
Answers
To find the greatest common factor, line both numbers up and continue adding that specific number until you find two factors that correlate with both numbers.
With that being said, let's begin.
8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88
Simply add 8.
11: 11, 22, 33, 44, 55, 66, 77, 88
Simply add 11.
The greatest common factor of 8 and 11 is 88.
Find the unit rate for each problem
Answers
Answer:
1. 3 tacos per person
2. 8 chairs per table
3. 6 avocados per bag
Step-by-step explanation:
1. Divide 45 by 15 to get the unit rate: # of taco per person.
45 = 15x
45/15 = 15x/15
3 = x
3 tacos per person
2. Divide 72 by 9 to get the unit rate: # of chairs per table.
72 = 9x
72/9 = 9x/9
8 = x
8 chairs per table
3. Divide 42 by 7 to get the unit rate: # of avocados per bag.
42 = 7x
42/7 = 7x/7
6 = x
6 avocados per bag
In this assignment, you will conduct research to find the best loan for your first car. Using reference
materials and Internet sites, you will collect information for a used car and loan options to buy the car.
You will use an online loan calculator to find the best option for a used car loan. You will do a multimedia
presentation on the best loan option for a used car and the resources you used, along with the options
you explored to decide on the best loan option. A list of search term suggestions for finding resources is
provided at the end of this guide.
Your presentation should include the following slides. The slides should be a title slide, a slide containing
your used car information, a slide containing information on loan options with a bank and with a credit
union, a slide including calculations, a slide comparing the loan options, a slide with the best choice for a
car loan, and a works-cited slide.
Answers
We have that for the Question, it can be said that this is a way to approach the presentation
The first slide should bear the presentation titleFollowed by your pick or selected car information,its specificationsFollowed by a slide on the koan option you've selected as bestFollowed by a slide on the calculation earlier doneFollowed by a slide on the summary of different loan calculations calculation earlier done on different options comparedFollowed by a slide on your eventual pickFollowed by a slide on the References or sources of information
Generally we are asked to conduct a research on your car using reference
materials and Internet sites
Where Reference materials soak of none internet site that relate to the topic of cars
While
Internet sites refers to sites on the net that gives detailed and affirmed information on used cars
e.g www.cars.com
Hence making use of a calculator online like Loan calculator at www.calculator.net ,you decide the best used cars based on price and Quality ratioUsing a multimedia entails the use of modern media gadgets and apps to make a presentation, and here your material will be those sites visited ,those none site resources used e.g QuestionnairesHow you made your price to quality ratio assessment, the other option you also thought where good in comparison with your optionNow on the slides
The first slide should bear the presentation titleFollowed by your pick or selected car information,its specificationsFollowed by a slide on the koan option you've selected as bestFollowed by a slide on the calculation earlier doneFollowed by a slide on the summary of different loan calculations calculation earlier done on different options comparedFollowed by a slide on your eventual pickFollowed by a slide on the References or sources of information
For more information on this visit
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2) Which of the following represents an equation of a line parallel to one whose equation is 2y + 8x = 18?
A) y = -4x + 3
B) y = 4x+ 7
C) y = 8x + 2
D) y = -8x + 9
Answers
2y + 8x = 18
Make it slope in form: y = mx + b
Divide the equation by 2
y + 4x = 9
Now subtract 4x
Y = -4x + 9
The slope is -4
Which equation also has same slope?
Solution: A
Answer:
A
-by-step explanation:
i have that exact question
ummmm help me cause i am the queen ya know
Answers
Answer:
80 square units
Step-by-step explanation:
I am in a rush so this might not be right but probably is
Consider the line y = 3/5x + 4.
Find the equation of the line that is parallel to this line and passes through the point left (- 5,-1)
Answers
Answer:
y=3/5x + 2
Step-by-step explanation:
y-(-1)=3/5(x-(-5))
y+1=3/5(x+5)
5y+5=3x+15
5y=3x+10
y=3/5x+2