I need help!! please, you don’t even have to do it all just explain to me how to do the first one I’ll catch on
Answers
Hi there!
What we need to know:
The three main trigonometric ratios are sine, cosine and tangent:
[tex]\displaystyle sin\theta=\frac{opposite}{hypotenuse}[/tex] [tex]\displaystyle cos\theta=\frac{adjacent}{hypotenuse}[/tex] [tex]\displaystyle tan\theta=\frac{opposite}{adjacent}[/tex]
"Opposite" refers to the side opposite the angle that is not the hypotenuse.
"Hypotenuse" refers to the side opposite the right angle of a right triangle.
"Adjacent" refers to the side next to the angle that is not the hypotenuse.
"θ" is read as "theta". It just represents the angle.
Keep in mind that these three ratios only apply to right triangles.
You can use the mnemonic "soh-cah-toa" to help you remember these ratios.
First question
For the first question, we're given the angle with a measure of 56 degrees and the length of the hypotenuse. We must calculate a, which represents the side adjacent to the given angle.
Given the hypotenuse and the adjacent side, we know that we must use the cosine ratio:
[tex]\displaystyle cos\theta=\frac{adjacent}{hypotenuse}[/tex]
Plug in the given information:
[tex]\displaystyle cos56=\frac{a}{13}[/tex]
Isolate a by multiplying both sides by 13:
[tex]13\displaystyle cos56=a[/tex]
Solve using a calculator:
[tex]a=7.3[/tex]
Therefore, a is equal to 7.3 when rounded to 1 decimal place.
Other information you will need to know:
In the above question, we needed to solve for a side. But what if we were given two sides and we needed to solve for an angle? For example:
[tex]\displaystyle sin\theta=\frac{5}{8}[/tex]
In this case, we will use the inverse sine ratio:
[tex]\displaystyle \theta=sin^-^1(\frac{5}{8})[/tex]
Solve using a calculator:
[tex]\displaystyle \theta=39[/tex]
Therefore, the angle would equal approximately 39 degrees.
I hope this helps!
Related Questions
can u help solve for x 3(x-4)-12=2(x-6)+8
Answers
Answer:
[tex]{ \rm{3(x - 4) - 12 = 2(x - 6) + 8}} \\ \\ { \rm{3x - 12 - 12 = 2x - 12 + 8}} \\ \\ { \rm{3x - 24 = 2x - 4}} \\ \\ { \rm{3x - 2x = - 4 + 24}} \\ \\ { \rm{x = 20}}[/tex]
Select the correct answer.
The graph of function fis shown
y +10
+5
5
10
-10
Which statement correctly describes the graph of 9() = (– 4);
A. Function g has the same horizontal asymptote as fand a vertical asymptote at 3 = 5.
ОВ. Function g has the same vertical asymptote as fand a horizontal asymptote at y = -2.
OC Function g has the same vertical and horizontal asymptotes as function f.
OD. Function g has a horizontal asymptote at y = -2 and a vertical asymptote at = 5.
Answers
Answer:
A
Step-by-step explanation:
The correct statement describing the graph is ''Function has the same horizontal asymptote as fand a vertical asymptote at x = 6''.
What is vertical asymptote?A vertical asymptote occurs in rational functions at the points when the denominator is zero and the numerator is not equal to zero.
here, we have,
We have to determine
Which statement correctly describes the graph of g(x) = f(x - 9)?
According to the question
Graph;
The straight-line x=6 is a vertical asymptote of the graph of the function if at least one of these conditions is true:
Vertical asymptotes are the vertical lines corresponding to the zeroes of the denominator of the rational number, to calculate the vertical asymptotes simply put the denominator of the rational number to zero, and solve for x, this is the required vertical asymptotes, if the denominator of the rational number is a quadratic, cubic types equations or any other polynomial then simplify put the whole equation to zero and simplify used any method for x, this is the required vertical asymptotes.
Hence, Function has the same horizontal asymptote as fand a vertical asymptote at x = 6.
To know more about vertical asymptote, click the link given below.
brainly.com/question/1491466
#SPJ7
Which equations are correct?
Select each correct answer.
−4b^4(5b^2+6)=−20b^8−24b^3
−5x^3(3x^3+2)=−15x^9−10x^3
−3y^5(2y^3+3)=−6y^8−9y^5
−2c^6(5c^3+6)=−10c^9−12c^6
Answers
Answer:
3y^5(2y^3+3)=−6y^8−9y^5
−2c^6(5c^3+6)=−10c^9−12c^6
are the correct equations.
Step-by-step explanation:
If you simply all these equations you will get following equations :
when bases are same and are in multiplication we add the exponents.
−4b^4(5b^2+6)=−20b^6−24b^4
−5x^3(3x^3+2)=−15x^6−10x^3
−3y^5(2y^3+3)=−6y^8−9y^5
−2c^6(5c^3+6)=−10c^9−12c^6
so equation 3 and 4 are correct.
The lovin' lemon company sells a 4-gallon jug of lemonade for $24. The sweet and sour company sells an eight pack of 1-quart bottles of lemonade for $16.00 . which company has a higher unit price? explain our answer
Answers
Answer:
the lovin lemon
Step-by-step explanation:
there are 4 quarts in a gallon so 4 times 16 is 64 for just one gallon so the answer would be the lovin lemon is cheaper
Hey ! Can anyone help me with this question please ? Thank you
Answers
Answer:
7
Step-by-step explanation:
4x-13 = x + 8
3x = 21
x = 7
enjoy
You roll a six-sided die. Find the probability of each of the following scenarios
(a) Rolling a 6 or a number greater than 3
(b) Rolling a number less than 5 or an even number
(c) Rolling a 4 or an odd number
---
(a) P(6 or number > 3) = 0.500 (Round to three decimal places as needed)
(b) P(1 or 2 or 3 or 4 or 6) =
(Round to three decimal places as needed.)
Answers
Answer:
a) [tex]1/2[/tex]
b) [tex]5/6[/tex]
c) [tex]2/3[/tex]
Step-by-step explanation:
a)
Rolling a number greater than 3 means you can roll a 4, 5, or 6, which contains rolling a 6. So, the probability is [tex](1+1+1)/6=3/6=\boxed{1/2}[/tex]
b)
Rolling a number less than 5 means you can roll a 1, 2, 3, or 4, but because you could also roll an even number, so you could also roll a 6.
So, the probability is [tex](1+1+1+1+1)/6=\boxed{5/6}[/tex]
c)
Rolling a 4 or an odd number means you can roll a 1, 3, 5, or 4. So, the probability is [tex](1+1+1+1)/6=4/6=\boxed{2/3}[/tex]
you earn $40 for washing 8 cars. How much do you earn for washing 4 cars
Answers
Answer:
$20
Step-by-step explanation:
Divide 40 by 8. Then multiply that answer by 4.
You divide 40 by 8 to see how much 1 car wash takes. Then multiply it by how many cars is in the question.
Sorry forgot the to put the question in.
Answers
Answer:
-2/3 rational i/2 irrational 0.7 rational √5 irrational √ 16 irrational 0 whole number 3.89 rational -4 integer
Step--by-step explanation:√ 5 rational or irrational
Natural Number: -2/3, 0.7,√16, 0, -4
Whole Number: 0.7,√16 0
Integers: -2/3, 0.7,√16,0, -4
Rational Number: -2/3, 0.7, √16,0, -4
Irrational Number: π/2, √5,
[tex]\frac{5}{12} -\frac{2}{9}[/tex]
Answers
Shawna lives in an apartment 9 4/5 miles from the hospital where she works. Her brother rents a room in a house 7 2/5 miles from the law firm where he is employed. How much farther from work does Shawna live?
Answers
Answer:
2 2/5 miles
Step-by-step explanation:
answer quick PLS
i will give brainliest
Answers
Answer:
4y? or 2(exponet 2)y
Step-by-step explanation:
What number is in the hundredths place in 77.52
Answers
Answer:
That would be 2, I hope this helps you! :D
Answer:
2 is in the hundredth place
it goes like
tenth-> hundredth->thousandth
please mark me as brainliest
help me find the surface area
Answers
Answer:
96
Step-by-step explanation:
A=6a²=6·4²=96
I need help I don’t understand
Answers
Answer:
*Replace each "x" with the required numbers .
1) g (14) ; Ans;
[tex] g(x) = 2x \\ g(14) = 2(14) \\ g(14)= 28 [/tex]
___o_o___
2) f (-8) ; Ans;
[tex]f(x) = x + 3 \\ f( - 8) = - 8 + 3 \\ f( - 8) = - 5[/tex]
___o_o___
3) j (3) ; Ans;
[tex]j(x) = ( - 1)^{x + 2} \\ j(3) = {( - 1)}^{3 + 2} \\ j(3) = {( - 1)}^{5} \\ j(3) = - 1[/tex]
___o_o___
4) h (4) ; Ans;
[tex]h(x) = {3}^{x} \\ h(4) = {3}^{4} \\ h(4) = 81[/tex]
___o_o___
5) f (2.8) ; Ans;
[tex]f(x) = x + 3 \\ f(2.8) = 2.8 + 3 \\ f(2.8) = 5.8[/tex]
___o_o___
6) j(-5) ; Ans;
[tex]j(x) = {( - 1)}^{x + 2} \\ j( - 5) = {( - 1)}^{ - 5 + 2} \\ j( - 5) = {( - 1)}^{ - 3} \\ \\ j( - 5) = \frac{1}{ {( - 1)}^{3} } \\ \\ j( - 5) = \frac{1}{ - 1} \\ \\ j( - 5) = - 1[/tex]
___o_o___
7) g(3/4); Ans;
[tex]g(x) = 2x \\ \\ g( \frac{3}{4} ) = 2( \frac{3}{4} ) \\ \\ g( \frac{3}{4} ) = \frac{3}{2} \\ \\ g( \frac{3}{4} ) = 1.5[/tex]
___o_o__
8) [h(6.2)]² ; Ans;
[tex]h(x) = {3}^{x} \\ h(6.2) = {3}^{6.2} \\ h(6.2) = 908.13785497 \\ \\ {(h(6.2))}^{2} = ({3}^{6.2})^{2} \\ {(h(6.2))}^{2} = 824714.36364715[/tex]
___o_o___
9) j(2) + g(-3) ; Ans;
[tex]j(x) = {( - 1)}^{x + 2} \\ j(2) = {( - 1)}^{2 + 2} \\ j(2) = {( - 1)}^{4} \\ j(2) = 1 \\ \\ g(x) = 2x \\ g( - 3) = 2( - 3) \\ g( - 3) = - 6 \\ \\ \\ j(x) + g(x) \\ j(2) + g( - 3) \\ 1 + ( - 6) \\ 1 - 6 \\ j(2) + g( - 3) = - 5[/tex]
___o_o___
10) h(1) - f(-10) ; Ans;
[tex]h(x) = {3}^{x} \\ h(1) = {3}^{1} \\ h(1) = 3 \\ \\ f(x) = x + 3\\ f( - 10) = - 10 + 3 \\ f( - 10) = - 7 \\ \\ \\ h(x) - f(x) \\ h(1) - f( - 10) \\ 3 - ( - 7) \\ 3 + 7 \\ = 10 \\ h(1) - f( - 10) = 10[/tex]
___________o____o__________
**We look at the table. If f(4) or f(-2) is required, it came from f(x) by substitution each x with the required numbers, and the result is in the table f(x) .
***But if he says that f(x) is equal to a number, he means the resulting table f(x) and asks for the "x" that you take from the table "x" .
Table (1) Ans;
f(4) = –3
f(-2) = – 6
If f(x)= -3 ,then x = 4
If f(x) = 1 , then x = 3
___o_o___
Table (2) Ans;
f(4) = –7
f(-2) = 1
If f(x)= -3 ,then x = 0
If f(x) = 1 , then x = - 2
___o_o____
Table (3)Ans;
f(4) = 7
f(-2) = 3
If f(x)= -3 ,then x = 6
If f(x) = 1 , then x = 0
I hope I helped you^_^
A bird flies down 0 feet and then up 55 feet.
Answers
Answer:
ok?
Step-by-step explanation:
A scientist was in a submarine below sea level studying ocean life over the next 10 minutes she dropped 23.5 feet how many feet has she been below sea level if she was 89.2 feet below sea level after she dropped
Answers
Answer:
65.7 ft.
Step-by-step explanation:
at first, let's say she was x fts. below sea level.
over the next 10 minutes she drops 23.5 ft.
that is her height below sea level then becomes
(x + 23.5) ft.
and it's given that she dropped to 89.2 ft. below sea level.
x + 23.5 = 89.2
x = 89.2 - 23.5
x = 65.7 ft.
and x was the height she's been below sea level.
Therefore ,she's been 65.7 ft. below sea level.
Answer:
65.7
Step-by-step explanation:
We need to find out how many feet she was at. So it is really simple you have to subtract 23.5 from 89.2 and you will get 65.7 which was how many feet she was.
what new realization do you have about finding the nth term of the arithmetic sequence and finding the arithmetic means how would you use this in making decision
Answers
Step-by-step explanation:
Arithmetic Sequnce in our daily life
The knowledge of calculating the nth term of a sequence can be very helpful. Calculating loans, discounts, salary, savings are some of the use of arithmetic method. If I save P5 per day for 5 years, I can simply use arithmetic sequence to find how much I saved from day 1 to last. Salary increase can also be solved using arithmetic sequence. Below is an example.
Sample real life problem:
1. I earn P300 on the first day. After each succeeding day, I earn P2 more than the previous day. How much should I be able to earn after 30 days?
In this situation, I would use the arithmetic sequence formula which is:
an = a1 + (n - 1)d
an is the nth term
a1 is the first term
n is the term position
d is the common difference
Lets subsitute:
an = P300 + (30 - 1)P2
an = P358
I should earn P348 at the end of 30 days
Need helpppppppppppppppppp
Answers
Answer:
A child experiencing emotional.........
I need help do y’all know answer…..
Answers
Answer:
x = 70
Step-by-step explanation:
14 + x = 84
x= 84 - 14
x = 70
here x is the games lost.
hope tgis helps !
NO LINKS OR ASSESSMENT!!!
Part 2: Graph the image of the figure using the transformation given. Don't forget to prime marks on your new image.
4. Reflection across the y-axis
Answers
Answer:
F' = (2 , -4)
G' = (-1 , -3)
H' = (4 , 0)
I' = (5 , -2)
Step-by-step explanation:
To get the coordinate points of a figure that is reflected across the y-axis, perform the following action to each point:
(x , y) → (-x , y)
Using this will give the points of F', G', H', and I'.
To find the new points, plug in the values into the formula:
F → F' = (-2 , -4) → (2 , -4)
G → G' = (1 , -3) → (-1 , -3)
H → H' = (-4 , 0) → (4 , 0)
I → I' = (-5 , -2) → (5 , -2)
To graph the new figure, plot the new points and connect them. At each point, remember to label them with the corresponding letter as well as the ' symbol.
PLEASE HELP 100 POINTS AND BRAINLEST TO WHOEVER CAN HELP ME!!!!!
Precalculus: Use Function Notation and Describe Graphs Project
Description
In this project you will use words and function notation to describe the connection between the transformation of a function’s graph and the affect on the function’s equation. Then you will explain how the Point-Slope equation for a line can be explained as a transformation of the parent function
.
Requirements
You may submit a Word document, or Powerpoint file or pdf.
Name your file: Last name first name Use Function Notation and Describe Graphs Project. (My project done in Word would be name “Parker Carla Use Function Notation and Describe Graphs Project.docx”)
Projects that are not named properly will be reset for you to resubmit your project.
Blank projects or irrelevant files will result in the project being reset and the student losing access to auto-progression.
Answer the following questions using words and the appropriate equation from the Transformation Equations Bank.
What must be done to a function’s equation so that its graph is shifted vertically upward?
What must be done to a function’s equation so that its graph is shifted horizontally to the right
What must be done to a function’s equation so that its graph is stretched vertically?
Describe what the graph of looks like.
Explain how the Point-Slope equation, is a transformation of .
Answers
Answer:
esult in the project being reset and the student losing access to auto-progression.
Answer the fol
Evaluate the expression.
2
-3(–15 – 2 (-9))
-
What is the value of the expression?
Enter your answer in the box.
Answers
Answer:
9
Step-by-step explanation:
-3(-15-2(-9))^2
=-3(-15+15)^2
=-3^2
=9
sorry, it just seems easy for me.
but tell me if you need more profound explanations. <:D
the pic is for a other question:
please mark this answer as brainlist
what is 100 X 694 / 8460 + A =???
Answers
A case of 24 pairs of the same kind of sport shoes cost a little more than $800 explain whether $28 per pair with tax included is a good estimate of the price
Answers
5(t-9) +12t=20
3(6m-17),m=5
Answers
Solving:
5(t - 9) + 12
5(20 - 9) + 12
100 - 45 + 12
55 + 12
67
3(6m - 17)
3(6*5 - 17)
3(30 - 17)
90 - 51
39
What is the missing value on the number line?
Hello, could you please help me with this? Thanks :)
Answers
(brainly says i need more letters so here)
7/8
Are 6/9 and2/3 proportion
Answers
Answer:
yes, they are proportional
Step-by-step explanation:
6/9 is just three time as big as 2/3 but they are basically the same fraction
Answer:
Step-by-step explanation:
yes, it is proportional
6/9 = 2/3
18 = 18
no linksWhich value completes the equation?
56
,
000
÷
Choose...
= 800
Answers
Answer:
800
Step-by-step explanation:
divide 5 and 8
How to simplify the following expressions?
1. 6x-3y+8x-(-4y-3y)
2. 1+8a/4-3+2a
Answers
Answer with Step-by-step explanation:
1. 6x-3y+8x-(-4y-3y)
14x-3y+4y+3y
14x+4y
1+8a/4-3+2a
-2+2a-2a
-2a
Which data set has the same standard deviation as the data set {2, 2, 5, 6, 8} ?
{3, 4, 4, 7, 7}
{5, 6, 5, 6, 5}
{3, 3, 6, 7, 9}
{4, 4, 5, 5, 5}
Answers
Answer:
{3, 3, 6, 7, 9}