Answers
You cannot find C using the sine law without knowing one of the other angles.
In your previous question I showed you that A = 71.5
sin(C)/16 = sin(71.5...)/22
sin(C) = 16 x sin(71.5...)/22 = 0.68977...
C = sin^-1(0.68969) = 43.6 degrees
Here, if you use the law of sines, you cannot find the measure of the required angle. But if you use the law of cosines, you will get the desired result.
The measure of the angle C of the given triangle is 43.61°
What is the law of cosines?According to the law of cosine, the square of any one side of a triangle is equal to the difference between the squares of the other two sides and double the product of the other sides and cosine angle added together between them. If AB, BC, and CA are lengths of the three sides of a triangle, then using the law of cosine, we can write
AB² = BC² + CA² - 2(BC)(CA)cos C.
How to solve this problem?Here, AB = 16, BC = 22, and AC = 21.
Now, 16² = 22² + 21² - 2 * 22 * 21 * cos C
i.e. 256 = 484 + 441 - 924 * cos C
i.e. 256 - 925 = - 924 * cos C
i.e. - 669 = - 924 * cos C
i.e. cos C = 669/924 = 0.724
i.e. C = cos⁻¹(0.724) = 43.61
Therefore the measure of the angle C of the given triangle is 43.61°
Learn more about law of cosines here -
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Related Questions
Help me please! I will give brainliest!
Answers
Answer:
i think its B if it's a multiple choice i wouldn't need to do a step by step explanation.
Help me please which expression is equal
Answers
The answer is C.
45^-3 can be transferred to the denominator, making the 45 in the denominator have a power to the 6th power.
Write an equation of a line that passes through (3, -1) and is perpendicular to y = 6x - 4. Show work.
I NEED THIS FAST
Answers
Answer:
y = -1/6x - 1/2
Step-by-step explanation:
y = -1/6x + b
-1 = -1/6(3) + b
-1 = -1/2 + b
-1/2 = b
ForEASY BRAINLIEST!!!
Answer:
A.
B.
C.
Answers
Answer:
A. x-3
B. x-14
C. x-10
Step-by-step explanation:
Answer: THXS FOR MAKIN THIS SO FRIKIN EASY. I think I may done b or c wrong-
Step-by-step explanation:
a) x - 3
b) x - 14
c) x − 10
Joel has an MP3 player called the Jumble. The Jumble randomly selects a song for the user to listen to. Joel's Jumble has 222 classical songs, 131313 rock songs, and 555 rap songs on it.
What is \text{P(rock song or rap song})P(rock song or rap song)start text, P, left parenthesis, r, o, c, k, space, s, o, n, g, space, o, r, space, r, a, p, space, s, o, n, g, end text, right parenthesis?
Answers
ANSWER
0.9
Step-by-step explanation:
no.of favourable outcome/no.of.possible outcome
13+5=18 favourable outcome and 20 possible outcome 18/20=0.9
Answer:0.9
Step-by-step explanation: khan academy
The sum of $4500 is divided among Anesha, Sian and Joanne in the ratio 7: 11: 12
respectively.
Calculate
(i) The amount of money each person received
(ii) The percentage of the total that Joanne received.
Answers
(6x+15)°
63° triangle
Answers
Answer:
x = 2
Step-by-step explanation:
The sum of the 3 angles in the triangle = 180°
Sum the 3 angles and equate to 180
6x + 15 + 90 + 63 = 180
6x + 168 = 180 ( subtract 168 from both sides )
6x = 12 ( divide both sides by 6 )
x = 2
Which of the following will result in a rational answer?
multiplying π by a fraction
adding the square root of a non perfect square to a whole number
adding the square root of a perfect square to π
multiplying a fraction by a repeating decimal.
Answers
Answer:
multiplying a fraction by a repeating decimal
Step-by-step explanation:
any fraction is rational
any repeating decimal is rational
therefore, product of the two would be rational
! Task 1. Bookwork code: G24 Calculator X not allowed Anthony has three number cards, as shown below. The minimum of the three cards is 6. The range of the three cards is 5. What is the mean of Anthony's three cards? Cards are 6, 7 and unknown
Answers
Answer:
8
Step-by-step explanation:
In order to find the range you need to subtract maximum card number from the minimum card number. We know that the range is 5 and that the minimum card is 6 so we can set up the equation like this to find the maximum shown as x.
[tex]5=x-6[/tex]
Add 6 to both sides
[tex]11=x[/tex]
Now we know all the the numbers of the three cards Anthony has since we were given the minimum = 6, 7, and solved for the last card which was the maximum = 11. In order to find the mean we have to add all of the numbers then divide by how many numbers there are (in this case it will be 3):
[tex]mean=\frac{6+7+11}{3}[/tex]
Add 6+7+11
[tex]mean=\frac{24}{3}[/tex]
Divide by 3
[tex]mean=8[/tex]
The price of an item has been reduced by $1.84. The original price was $46.91. What is the price now?
Answers
Answer:
$45.07
Step-by-step explanation:
46.91-1.84= 45.07
I NEED HELP ASAP PLESSEEE
What is the relation between the variables in the equation
Y/x^2= 10?
a. x varies directly with the square of y
b. y squared varies inversely with x
C. y varies directly with x squared
y varies inversely with x squared
d.
Answers
Answer:
I think C is the relation between the variables.
Complete the work to calculate the scale factor. 1. Scale factor = StartFraction Scale drawing dimension over original dimension EndFraction. 2. Enter the corresponding lengths: StartFraction 24 over 3 EndFraction. What is the scale factor?
Answers
Answer:
8
Step-by-step explanation:
To obtain scale factor of a particular drawing:
We use the relation:
Scale factor = Scale drawing dimension / original dimension
Given :
Scale drawing dimension = 24
Original dimension = 3
Scale factor = 24 / 3
Scale factor = 8
Answer:
an enlargement
Step-by-step explanation:
PLEASE HELP ME
PLEASE HELP ME
Find the lateral surface area of
the following square pyramid:
4 cm
6 cm
LA = [?] cm2
Answers
Length of base (a)=6cm
Slant height (l)=4 cm
Now,
LSA=2al
= 2*6*4
=48cm^2
Answer:
Surrounding area of pyramid = area of a side face multiplied by 4
Step-by-step explanation:
The area of a side face is the area of the triangle:
[tex]\frac{1}{2} *6*4[/tex] = 12
So the perimeter of the pyramid is:
12×4=48
Explanation: because the side faces have the same area.
If a number is chosen at random from the numbers 1 to
20 inclusive, what is the probability that a single-digit
number will be picked? ( give your answer in simplified
fractions eg. 2/5 when necessary)
Answers
Answer:
1/20
Step-by-step explanation:
only a single number can be chosen out of 20. And 1/20 is the most simplified it can get.
However, does these questions will be marked as brantliest !!!!
Answers
Answer:
i don't see questions but I'll go download the app on your picture:))
4.79 × 10^-6
0.0000000734
Hope this helps! :)
Factorise a² - b²
.......
Answers
Regards,
ArmyCee:)
[tex]\longrightarrow{\green{ (a + b)(a - b) }}[/tex]
[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:EXPLANATION:}}}[/tex]
[tex] ={a}^{2} - {b}^{2} [/tex]
[tex] = (a + b)(a - b)[/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
someone annnnswer pls
Answers
Answer:
t = 16
Step-by-step explanation:
Hope this helped :]
Now,
10/5t - 75 = 12/6
10*6 = 12 (5t - 75)
60 = 60t - 900
60 + 900 = 60t
960 = 60t
t = 960/60
t = 16
I hope it's help you...
Mark me as brainliest...
Emma received 2,147,389 votes in a national talent show.
The value of the digit 2 in her score is
Answers
Answer:
It is 2 million
Answer:
Million
Step-by-step explanation:
Which value of “x” would satisfy the following equation 24x - 18 - 8x - 30 = 96?
Answers
Answer:
x = 9
Step-by-step explanation:
24x - 18 - 8x - 30 = 96
add or subtract like terms
16x - 48 = 96
shift - 48 to right hand side . when it goes to other side minus changes to plus
16x = 96 + 48
16x = 144
x = 144/16
x = 9
to prove that the value of x satisfy the given equation or not.
to prove that the value of x is 9 substitute 9 inplace of x and if it gives 96 then it satisfy
24x - 18 - 8x - 30 = 96
24*9 - 18 - 8*9 - 30 = 96
216 - 18 - 72 - 30 = 96
216 - 120 = 96
96 = 96
since both sides is equal to 96 it can be concluded that the value of x is 9.
Which value of “x” would satisfy the following equation 24x - 18 - 8x - 30 = 96?
AnswerX = 9Step by Step Explanation24x - 18 - 8x - 30 = 96
First let's just add/subract the following terms.
16x - 48 = 96
Second.. shift the 48 to the right side. after that change the minus sign into plus sign.
16x = 48 + 96
16x = 44
x = 144/16
x = 9
Explanation:
So we just prove that the value of x satisfy the equation true or not.To prove that the value of x is 9.. we just substitute the 9 in place of x and if it was 96 the result of the equation the problem must be true.So we begin to solve it!
24x - 18 - 8x - 30 = 96
24*9 - 18 - 8*9 - 30 = 96
216 - 18 - 72 - 30 = 96
216 - 120 = 96
Since that all both sides are equal to 96 it can be concluded that the value of x is 9.
#LearnwithBrainly
Please explain the answer and show your work
Answers
Answer:
6
Step-by-step explanation:
Arc length ACB = 6 pi
The arc length = fraction of a circle times the circumference
6 pi = 180/360 * 2 * pi *r
6 pi = 1/2 * 2 * pi*r
6 pi = pi r
The radius is 6
Find the missing side. Round to the nearest tenth.
A.7.4
B.4.4
C.6.4
D.5.4
Answers
Answer:
option D
Step-by-step explanation:
take 39 degree as reference angle
using cos rule
cos 39 = adjacent / hypotenuse
0.77 = x / 7
x = 7*0.77
x = 5.39
x = 5.4
Answer:
D. 5.4
Step-by-step explanation:
Using trigonometric ratio
cos 39 = x/7
cross multiple
x = cos39(7)
x=5.4
Daine simplified the expression below.
8(1 + 2i) – (7 – 3i) = 1 + 5i
What mistake did Daine make?
Answers
Answer:
Step-by-step explanation:
8(1 + 2i) - (7 - 3i) = 8*1 + 8*2i + 7*(-1) - 3i*(-1)
= 8 + 16i -7 + 3i
= 8 - 7 + 16i + 3i
= 1 + 19i
Daniel forgot to multiply 2i by 8
Answer:
A , He did not apply the distributive property correctly for 8(1 + 2i).
on edge
Step-by-step explanation:
hey I have a doubt isn't for this question the ans supposed to be 36 but the option is not there so could you plzz help me
Answers
Answer:
Its actually 31
Step-by-step explanation:
Try drawing it and counting the matches
Find the area of this triangle in square centimeters .
Answers
Step-by-step explanation:
The answer is 24 I think.
using the formula for finding the area of a triangle, which is....
Area= b times height divided by 1/2 or 2
First step is to multiply 6 which is the base by the height 8 to get 48. Then 48 divided by 2 is 24.
Step-by-step explanation:
the area of the triangle can be find by using the heron's formula...
that is:
√s-a×s-b×s-c
So,
a=8cm,b=6cm,c=10cm
Semi perimeter= 8+6+10/2=24/2=12
√12(12-8)(12-6)(12-10)
=√12×4×6×2
=√ 2×2×3×2×2×2×3×2
= √2×2×2×3
= 12 cm...
can you help me with this. Find the surface area
Answers
Answer:
2370 cm²
Step-by-step explanation:
2(32·15+15·15+15·32) = 2370
given log base3 4 = log base 1/27 k , find the value of k .
Answers
Answer:
k =0.156
Step-by-step explanation:
According to the Question,
We Have To apply Just some Basic Properties of log here.
[tex]log_{3}4 = log_{1/27}k\\\frac{log_{}4 }{log_{}3 } = \frac{log_{}k }{log_{}1/27 }\\\\\frac{log_{}4 }{log_{}3 } = \frac{log_{}k }{log_{}1-log_{27} }\\\\frac{log_{}4 }{log_{}3 } = \frac{log_{}k }{0-3*0.4771} }\\\[/tex]
0.620/0.4771 = ㏒k / -1.4313
㏒k = -1.86
k = anti㏒(-1.86)
k =0.156
I need help with number 35 please help
Answers
Answer:
B. shelves × 51
Reason:
sum of all books= 357
sum of shelves= 17
no of shelves × 21
or, 17 × 21= 357
which is the number of books.
What are the solutions of the equation −2x−6=−2^x−6 ?
Select each correct answer.
x=−1
x = 0
x = 1
x = 2
x = 3
Answers
9514 1404 393
Answer:
x = 1, x = 2
Step-by-step explanation:
A graphing calculator shows the graphs cross at x=1 and x=2.
__
There is no algebraic method of solving an equation like this. Trial and error is another method that works.
In △FGH, L is the centroid. If LK = 19, find GL
Answers
Answer:
GL = 38
Step-by-step explanation:
On each median the distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint, that is
GL = 2 LK = 2 × 19 = 38
Answer:
the centroid has special featuresfor this
Step-by-step explanation:
the rate of long must be like this [GL]=2[LK]
we can say that our answer is 38 easily
4,-7 -1,5 what’s the midpoint
Answers
Answer:
(4, 5) Midpoint
Step-by-step explanation:
Need- What is a midpoint of the line segment?
Solution:
Midpoint: x,m , y,m = ([tex]\frac{x {a +x b } }{2}[/tex]) ,( [tex]\frac{y, a + y b}{2}[/tex])=( [tex]\frac{0 +8 }{2}[/tex] ) , ( [tex]\frac{2 + 8 }{2}[/tex]) = [tex]\frac{8}{2} , \frac{10}{2}[/tex] Midpoint segment - ([tex]x_{m} , y_{m}[/tex]) = (4,5)