unit 8 right triangle and trigonometry homework 5 trigonometry: finding sides and angles solve for x round to the nearest tenth.
plllls I will make brainlesst
Answers
Answer:
5. x = 25.6
6. x = 11.0
7. x = 41.8°
8. x = 64.2°
9. x = 12.8°
10. x = 51.3°
Step-by-step explanation:
Let's find the x value for each triangle.
For point 5
We have:
x: is the opposite cathetus to 52°
20: is the adjacent cathetus to 52°
52°: is the angle
We can find "x" with the following trigonometric function:
[tex] tan(52) = \frac{x}{20} [/tex]
[tex] x = tan(52)*20 = 25.6 [/tex]
For point 6
We have:
x: is the hypotenuse
5: is the opposite cathetus to the given angle
27°: is the angle
To find "x" we need to use the trigonometric function:
[tex] sin(27) = \frac{5}{x} [/tex]
[tex]x = \frac{5}{sin(27)} = 11.0[/tex]
For point 7
We know:
x°: is the angle
6: is the hypotenuse
4: is the opposite cathetus to x°
Hence, x is:
[tex] sin(x) = \frac{4}{6} [/tex]
[tex] x = sin^{-1}(\frac{4}{6}) = 41.8 [/tex]
For point 8
We have:
x°: is the angle
14: is the adjacent cathetus to x°
29: is the opposite cathetus to x°
To calculate "x" we need to use the trigonometric function tan(x):
[tex] tan(x) = \frac{29}{14} [/tex]
[tex] x = tan^{-1}(\frac{29}{14}) = 64.2 [/tex]
For point 9
We have:
x°: is the angle
54: is the hypotenuse
12: is the opposite cathetus to x°
We can use sin(x) to solve for x:
[tex] sin(x) = \frac{12}{54} [/tex]
[tex] x = sin^{-1}(\frac{12}{54}) = 12.8 [/tex]
For point 10
We have:
x°: is the angle
40: is the hypotenuse
25: is the adjacent cathetus to x°
We need to use cos(x) to solve for x:
[tex] cos(x) = \frac{25}{40} [/tex]
[tex] x = cos^{-1}(\frac{25}{40}) = 51.3 [/tex]
I hope it helps you!
To solve the given questions, either of the trigonometric functions; sine, cosine and tangent of an angle has to be applied appropriately to either of the questions. The answers to the questions are:
5. x = 25.60
6. x = 11.00
7. x = [tex]41.8^{o}[/tex]
8. x = [tex]64.2^{o}[/tex]
9. x = [tex]12.8^{o}[/tex]
10. x = [tex]51.3^{o}[/tex]
The questions given are right angled triangles which requires the application of trigonometric functions appropriately. A right angle triangle is one that has one of its angles to be [tex]90^{o}[/tex].
So, each of the questions can be solved as follows:
5. Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
Tan 52 = [tex]\frac{x}{20}[/tex]
⇒ x = Tan 52 * 20
= 25.5988
x = 25.60
6. Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
Sin 27 = [tex]\frac{5}{x}[/tex]
⇒ x = [tex]\frac{5}{Sin 27}[/tex]
= 11.0134
x = 11.00
7. Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
Sin x = [tex]\frac{4}{6}[/tex]
= 0.66667
x = [tex]Sin^{-1}[/tex] 0.66667
= [tex]41.8^{o}[/tex]
x = [tex]41.8^{o}[/tex]
8. Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
Tan x = [tex]\frac{29}{14}[/tex]
= 2.0714
x = [tex]Tan^{-1}[/tex] 2.0714
= [tex]64.2^{o}[/tex]
x = [tex]64.2^{o}[/tex]
9. Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
Sin x = [tex]\frac{12}{54}[/tex]
= 0.22222
x = [tex]Sin^{-1}[/tex] 0.22222
= [tex]12.8^{o}[/tex]
x = [tex]12.8^{o}[/tex]
10. Cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]
Cos x = [tex]\frac{25}{40}[/tex]
= 0.625
x = [tex]Cos^{-1}[/tex] 0.625
= [tex]51.3^{o}[/tex]
x = [tex]51.3^{o}[/tex]
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Answers
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Answers
Answer:
Step-by-step explanation:
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2.
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
22.5
Step-by-step explanation:
125
x 18
---------
1. first set up your problem
2 4
125
x 18
------
1000
2. next multiply the 8 by 5 getting 40, drop the 0 anf move the 4 to the top above 2.
3. multiply 8 by 2 getting 16, then add the 4 you have ontop of the 2 to the 16 getting 20. Drop the 0 and bring the 2 over and place it above the one.
4. multiply 8 by 1 getting 8 then add the 2 above the 1 to 8 getting 10. Then put the ten infront of the tw zeros. 1000
125
x 18
--------
1000
0
Next add a 0 as a place filler under the 0 at the end.
125
x 18
-------
1000
1250
Then multiply the 1 by 5, then 1 by 2, then finnaly 1 by 1, getting you 1250.
1000
+1250
add together
getting 2250
then move 2 decimal places over to get 22.5
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Answers
Answer: 7
Step-by-step explanation:
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Answers
About what percentage of people had a score between Janine's and Laura's scores?
Answer:
Its D) 36%
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Answer:
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Step-by-step explanation:
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Answers:
1: 974
2: 14
3: -16
4: 26
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To evaluate the expression, we first substitute x = 2 into the expression:
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Step-by-step explanation:
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Answers
Step-by-step explanation:
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Substituting in the two x-coordinates and two y-coordinates from the endpoints.
Putting it together,
The endpoint formula is:
(x a ,ya)= ((2xm−xb),(2ym−yb))
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Explanation: no matter how you do it you still get 1 bc its x divided by y which is 1
Which exponential function has an initial value of 2?
Of(x) = 2(3)
Of(x) = 3(2)
X
-2
-1
f(x)
18
1
4
Answers
On solving the provided question, we can say that - here in the equation, [tex]x^2- x = 4[/tex]
What is equation?An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.
so, x = 2
therefore
[tex]x^2- x \\6-2\\4[/tex]
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please help im giving 95 points
Answers
[tex]\\ \sf\longmapsto f(n)=2^n[/tex]
#a
[tex]\\ \sf\longmapsto f(1)=2(1)=2Amoebas[/tex]
#b
[tex]\\ \sf\longmapsto f(2)=2^2=4Amoebas[/tex]
#c
[tex]\\ \sf\longmapsto f(6)=2^6=64Amoebas[/tex]
#d
[tex]\\ \sf\longmapsto f(24)=2^24Amoebas[/tex]
In its prime, Mr. Ford’s 2002 Focus would get 36
miles/gallon. Mr. Ford starts a road trip to San
Bernardino, Barstow, Kingman, Winona, and
Flagstaff, AZ. He starts with 13.2 gallons of gas in
his gas tank.
a) Write a slope-intercept equation that models how
much gas remains in his tank after each mile of of
travel(hint: g/mi)
Answers
Answer:
The fuel economy is 36 miles per gallon. For each mile 1/36 gallon will be used.
Initial volume is 13,2 gallons and x is the number of miles.
Our equation is:
y = 13.2 - 1/36xor
y = -1/36x + 13.2what is the equation of the line that is perpendicular to the line y=3/5x+10 and passes through the point (15,-5)?
Answers
Answer:
y = -5/3x + 20
Step-by-step explanation:
y = -5/3x + b
-5 = -5/3(15) + b
-5 = -25 + b
20 = b
y = -5/3x + 20
Answer:
In other words.. The fourth option D.
Step-by-step explanation:
EDGE2022
i like your cut g
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If m 2 = 23° and m3 = 68°, what is m 1?
O
A. 23°
B. 68°
C. 89°
D. 91°
Answers
Answer:
i think it is 68 degree i think
Answer:
D 91
Step-by-step explanation:
Add 3 +2 =68 +23=91
Sum of any angle in atringle is 180 (rule)
Then 180-91 =89 (the missing angle in the traingle)
Since the sum of any straight angle is 180 (Therom)
180 - 89 =91
Or
The some of 2 interior angle in a triangle equal to the opposite exterior angle (Therom)
So 68 +23 = 91