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.
Related Questions
Simply (2x^5)^2(4x^3)
Answers
Annie has a collection of large and small books. The mass of a large book is 3/4 kilogram. The mass of a small book is 1/4 kilogram. The total
mass of her collection of books is 11 kilograms.
How many large books does Annie have if she has 8 small books? Enter the answer in the box.
large books
Answers
Answer:
12 large books
Step-by-step explanation:
Can u guys help me please
1. What % of 240 is 60?
2. .90 is what percent of 120?
3. 24 is 96% of what number?
Answers
2.) 75%
3.) 25
What is the volume of this rectangular prism?
3
cn
om
5
cm
4
Answers
Answer:
1
Step-by-step explanation:
[tex]v = whl[/tex]
1 = 5/4 x 4/3 x 3/5
Thirteen of the Unites States do not touch the ocean. What percent of the United States do not touch the ocean? HELP!
Answers
What is the measure of angle U?
A. 35°
B. 45°
C. 100°
D. 180°
Answers
Answer:
c
Step-by-step explanation:
e has the same exact angle
Answer:
c
Step-by-step explanation:
same as her/him heheheh I I really
How many square units is the surface area of the box corresponding to the net?
Answers
Answer:
64
Step-by-step explanation:
We have two squares of 4x4 units and 4 rectangles of 4x2 units, therefore
[tex]2 \cdot (4 \cdot 4)= 2 \cdot 16 = 32 \text{ squre units}[/tex]
[tex]4 \cdot (4 \cdot 2)= 4 \cdot 8 = 32 \text{ squre units}[/tex]
Total Area is therefore 32 + 32 = 64 square units
The sample for a study exhibits undercoverage bias. Select the statement that best describes the bias in the study. O There are not enough subjects in the sample.
O Many of the subjects in the study did not answer every question on the survey.
O The subjects in the study are not representative of the population, because some members of the population were not able to participate in the study.
O The subjects in the study are not representative of the population, because some members of the population refused to take part in the study.
Answers
Answer:
The subjects in the study are not representative of the population, because some members of the population were not able to participate in the study.
Step-by-step explanation: i got it right on the test
A sample is said to exhibit undercoverage bias, if some of the portion or category of the population are not adequately represented or exempted from the selected sample. Hence, undercoverage bias exists because, The subjects in the study are not representative of the population, because some members of the population were not able to participate in the study.
Undercoverage bias produces non - representative samples as some category of the population may have been exempeted from the study. Hence, option C is correct.Undercoverage translates that the opinion of some members of the population were not even considered. Hence, the introduction of undercoverage bias.
Learn more : https://brainly.com/question/21774717
find surface area of this cone
Answers
Answer:
SA = 200π cm²
Step-by-step explanation:
The surface area is calculated as
SA = area of base + area of curved surface
= πr² + πrs ( r is the radius and s the slant height )
Using Pythagoras' identity in the right triangle to find s
s² = 15² + 8² = 225 + 64 = 289 ( take square root of both sides )
s = [tex]\sqrt{289}[/tex] = 17
SA = π × 8² + π × 8 × 17
= 64π + 136π
= 200π cm²
Rondel's parents borrow $5000 from the bank for a new car. The interest rate is 6% per year. How much simple interest will they pay if they take 2 years to repay the loan?
$600.00
$500.00
$480.00
$540.00
Answers
Answer:
600
Step-by-step explanation:
6 percent of 5000 is 300. 300x2=600.
Sorry if im wrong
Use the figure above to determine the height of the pickle ball when it was
hit.
Answers
The height of the pickle ball when it was hit is = h = AB = 8.5 feet
The study of angles and of the angular relationships of planar and three-dimensional figures is known as trigonometry. The trigonometric functions (also called the circular functions) comprising trigonometry are the cosecant , cosine , cotangent , secant , sine , and tangent.
Applications of Trigonometry:
Measuring grounds lots, and fields,
Measuring ground surfaces,
Making building perpendicular and parallel,
Roof inclination and roof slopes,
Installing ceramic tiles and stones,
The height and width of the building.
Given in figure
(in feet)
ED = 3
BC = 34
BD = 22
AB = h = height of the pickle ball
Therefore DC = 34 - 22 = 12
In ΔEDC
Let ∠ECD = a
tan a = ED/DC
⇒ tan a = 3/12
⇒ tan a = 1/4 (1)
In ΔABC
∠ACB = a
tan a = h/34
⇒ 1/4 = h/34 (from 1)
⇒ h = 34/4
⇒ h = 8.5
Hence height of the pickle ball is 8.5 feet.
To learn more about Applications of Trigonometry visit:
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#SPJ1
HELP PLEASE FOR BRAINLIEST
Answers
volume: 5.412
Volume: 5.412 yds
The prism shown has a volume of 35 cm.
Work out h, the height of the triangular cross section.
h
7 cm
4 cm
Answers
Answer:
the height is 2.5 cm
Step-by-step explanation:
The computation of the height of the triangular section is shown below:
As we know that
Volume = One-half × base × height
35 = One-half × 4 × height × 7
So, the height is 2.5 cm
Answer:
Height = 2.5cm
Step-by-step explanation:
Volume = Base(b) x Height(h) x Length(l) / 2
Substitute the information that you have into the equation
Volume = 4 x Height(h) x 7 / 2
Height = 4x7 / 2
= 14cm
35 / 14
= 2.5cm
2y-4x=-18 slope intercept form
Answers
Answer:
y=−2x−9
Step-by-step explanation:
Solving Process:
1. Isolate y
2. Make coefficient of y equal 1
Steps:
1. (2y - 4x) / 2 = 18 / 2
2. y - 4x = 9
3. y = 4x + 9 <<<<
Good luck to you!
How do u find the answer
Answers
Answer:
ok we dont know what for net time if you where going to post a picture with is press the paperclip button and choose what photo you want.
Step-by-step explanation:
Please mark as brainllest really need this one. have a nice week
[o]-[o]
\___/
Subtract – 2.2 + 3x – 9 from 8x2 + 10x – 10.
Answers
Answer:
=3x−11
2(4x2+5x−5)
Step-by-step explanation:
both subtracted: −8x2−7x−1
Line segmentAB has vertices A(−3, 4) and B(1, −2). A dilation, centered at the origin, is applied to AB⎯⎯⎯⎯⎯. The image has vertices A′(−1, 43) and B′(13, −23).
A: 1/6
B: 1/3
C: 3
D: 6
Answers
Answer:
B: 1/3Step-by-step explanation:
It seems the coordinates given are incorrect.
It should read:
A'(-1, 4/3), B'(1/3, -2/3)This reflects the rule:
(x, y) → (1/3x, 1/3y)Correct choice is B
Answer:
B: 1/3
Step-by-step explanation:
(x,y) = (1/3x,1/3y)
Anyone else having to do school work during spring break because edgenuty sucks?
Answers
Melanie's fruit punch recipe calls for 6 cups of apple juice for every 3 cups of carrot juice.
How many cups of carrot juice are used for each cup of apple juice?
Answers
Answer:
1/2 cup of carrot juice for each cup of apple juice.
Step-by-step explanation:
The ratio of carrot juice to apple juice is 3:6
Also written as 1:2
1/2 cup of carrot juice per 1 cup of apple juice
Ok can someone please help me? i really need help and no one will help me, its easy middle school math
Answers
Answer:
Step-by-step explanation:
7) A
8) D
9) B
10) A
Please solve this and give answer
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Answer:
Step-by-step explanation:
look at the photo to answer
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Write an equation that represents the line.
Use exact numbers.
Answers
Answer:
1x-2y
Step-by-step explanation:
You have to go down 2 on the y-axis and over to the right 1 on the x axis
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Answer:
58
Step-by-step explanation:
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Answers
Answer:
c is correct
Step-by-step explanation:
If you look at it, 2x is the slope. Always remember the formula y = mx + b
The mx is your slope. And the whole number is your b or y - intercept
Hope this Helps!! :)
ASAP PLEASE HELP ME !!!!
Answers
Answer:
90 mallards
Step-by-step explanation:
No. of ducks = 200
Mallards = 45%
45% of 200 = 45/100 × 200
=90
45% mallards. X
100% all ducks 200
X=45•200/100
X=90
Which algebraic expression is equivalent to the expression below?
9(2x + 2)
A.
18x + 2
В.
9x + 4
C.
36x
D.
18x + 18
btw I will mark brainliest!
Answers
Answer:
I guess the answer is D - 18x + 18
A triangle has angle measures of 95° and 65° What is the measure of the third angle
Answers
You can text at a speed of 50 words per minute. At this rate, how many words can you text in four minutes?
Answers
Answer:
200 words
Step-by-step explanation:
50*4 = 200 words
Answer:
50 × 4 = 200
Step-by-step explanation:
so basically if you can text at a speed of 50 words a minute then all you have to do is multiple that by 4
Find the mean, median, and mode(s) of the data:
34, 57, 58, 56, 21
Please hurry !!!!!!!