Answers
Given:
In triangle ABC, AB=8.2 cm, C=13.5 cm and angle A= 81 degrees.
To find:
The length of AC.
Solution:
According to the Law of Sines:
[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]
Using Law of Sines, we get
[tex]\dfrac{\sin A}{a}=\dfrac{\sin C}{c}[/tex]
[tex]\dfrac{\sin (81^\circ)}{13.50}=\dfrac{\sin C}{8.2}[/tex]
[tex]\dfrac{\sin (81^\circ)\times 8.2}{13.50}=\sin C[/tex]
[tex]\sin^{-1}\dfrac{\sin (81^\circ)\times 8.2}{13.50}= C[/tex]
[tex]C\approx 36.86^\circ[/tex]
Using angle sum property, we get
[tex]\angle A+\angle B+\angle C=180^\circ[/tex]
[tex]81^\circ+\angle B+36.86^\circ=180^\circ[/tex]
[tex] \angle B =180^\circ-81^\circ-36.86^\circ [/tex]
[tex] \angle B =62.14^\circ [/tex]
Now,
[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}[/tex]
[tex]\dfrac{\sin (81^\circ)}{13.50}=\dfrac{\sin (62.14^\circ)}{b}[/tex]
[tex]b=\dfrac{13.50\times \sin (62.14^\circ)}{\sin (81^\circ)}[/tex]
[tex]b\approx 12.08[/tex]
Therefore, the length of AC is 12.08 cm.
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Answer:
Choice 1) 181.5 mm
Step-by-step explanation:
41.5+55+85 = 181.5
Pls help
The circle below has a diameter of 164 inches.
a) Find the circumference of the circle. Use 3.14 to approximate pi. Please show your math work step by step and don’t forget the unit. (Calculator is allowed but please write down the numbers that you enter into your calculator).
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Answer:
The circle is the radius divided by equal, so it is the same as the other section meaning 16 as well
Step-by-step explanation:
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Answer:
never
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Zero
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Answer:
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8. A) 123°
Step-by-step explanation:
To find the correct measurement of the angel the sum of the interior angels needs to equal 360°. Angels where the lines intersect with the circle would be both 90°. ( If that makes sense.)
90°+90°=180
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360°-253°= 107°
The same for the second one. (those two angles would also be 90° each.)
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Answer:
x=37
Step-by-step explanation:
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Answer:
x=37 because 56+50=106 180-106=74 74÷2=37
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Answer:
thank you so much
Step-by-step explanation:
have a great day
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Tell whether the angles are adjacent or vertical. Then find the value of x.
Answers
Answer:
Adjacent angles. x = 55
Step-by-step explanation:
Adjacent angles are angles that are right next to each other, sharing one side.
Since that is a right angle (90º):
X + 35 = 90
X + (35-35) = 90 - 35
X = 55
Hope this helps! Have a great day!
Answer:
Adjacent, X= 55
Step-by-step explanation:
90-35= 55
PLEASEEEEEEEEEEE HELP ME IT'S THE LAST QUESTION
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Answer:
I think it's 2-3, but I'm not sure.
Step-by-step explanation:
Sorry if I get it wrong
HELP ASAP WILL GIVE BRAINLIEST!! Write the equation in point-slope form for the line that contains the points
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Answers
Slope-intercept form:
y=x-1
Point-slope form:
Y+3=1(x+2)
aundreys mother has decided to start a college savings account for him. aundrey is about to start kindergarten, and she decides to deposit $1000 in to an account with a 1.3% annual interest rate. How much will be in the account when aundrey starts 4th grade (4 years later) if she makes no deposits or withdrawals and the interest is compounded annually?
a) $27,984.10
b) $1,630.47
c) $1,053.02
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Answer:
C
Step-by-step explanation:
1.3% of 1000 is 13, 13 X 4 ≈ 53
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Answer:
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Step-by-step explanation:
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Answer:
41/2
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Answer:it will be B
Step-by-step explanation:
Answer:
the value of h ( or height ) is 4. Im not sure what other info is needed because of how the picture was cropped
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Answer:
abcdefg!!!
Step-by-step explanation:
Can someone tell me the answer and explanation??
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Answer:
$15.21
Step-by-step explanation:
Why it would be D is if find out what the 17% is ($2.21) you would add it on top of the $13 and it gives you $15.21 or D.
The spinner shown is divided into equal sections that each contain one number, so that the probability of spinning each number on the spinner is the same. However, there are two red sections, and therefore there are a total of two numbers (1 and 3) that appear in red sections, while each other color appears in only one section.
A spinner with 6 equal-sized sections labeled 1 through 6. Sections 1 and 3 are red. Section 2 is blue. Section 4 is orange. Section 5 is purple. Section 6 is green.
© 2017 FlipSwitch. Created using GeoGebra.
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Answer:
the answer is 2/6 im not sure but i hope its help
Help I will be marking brainliest!!!
A. 18√3
B. 56√3
C. 36√3
D. 56
Show work, if possible. Thanks❤️
Answers
=============================================
Explanation:
We'll need the tangent rule
tan(angle) = opposite/adjacent
tan(R) = TH/HR
tan(30) = TH/54
sqrt(3)/3 = TH/54 ... use the unit circle
54*sqrt(3)/3 = TH .... multiply both sides by 54
(54/3)*sqrt(3) = TH
18*sqrt(3) = TH
TH = 18*sqrt(3) which points to choice A as the final answer
----------------------
An alternative method:
Triangle THR is a 30-60-90 triangle.
Let x be the measure of side TH. This side is opposite the smallest angle R = 30, so we consider this the short leg.
The hypotenuse is twice as long as x, so TR = 2x. This only applies to 30-60-90 triangles.
Now use the pythagorean theorem
a^2 + b^2 = c^2
(TH)^2 + (HR)^2 = (TR)^2
(x)^2 + (54)^2 = (2x)^2
x^2 + 2916 = 4x^2
2916 = 4x^2 - x^2
3x^2 = 2916
x^2 = 2916/3
x^2 = 972
x = sqrt(972)
x = sqrt(324*3)
x = sqrt(324)*sqrt(3)
x = 18*sqrt(3) which is the length of TH.
A slightly similar idea is to use the fact that if y is the long leg and x is the short leg, then y = x*sqrt(3). Plug in y = 54 and isolate x and you should get x = 18*sqrt(3). Again, this trick only works for 30-60-90 triangles.
What is the slope of the line described by the data in the table below?
Х
-4
0
4
8
y
3
8
13
18
Answers
Given:
The table of values is:
x y
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0 8
4 13
8 18
To find:
The slope of the line that described by the data in the table.
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Consider any two points from the given table.
Let the two points are (0,8) and (4,13). So, the slope of the line is
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
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