Find a. Round to the nearest tenth
12 cm
22 cm
31.8°
75°
a
a = [?] cm
Law of Sines: sin A
sin C
sin B
b
=
a
С
Enter
![Find A. Round To The Nearest Tenth12 Cm22 Cm31.875aa = [?] CmLaw Of Sines: Sin Asin Csin Bb=aEnter](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/LXyyihf3wwnNilchYj1dh1rnZPaBf7Em.png)
Answers
Answer:
21.8cm is the required answer
Step-by-step explanation:
The measurement of the third side of the triangle is 22 cm
What is sine law?The law of sine or the sine law states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.
Given is a triangle with angles 75° and 31.8° also two of its sides are 12 and 22 we need to find the third side of the triangle,
Finding angle A
180°-(75°+31.8°) = 73.2°
Now, using the sine law,
Sin 73.2° / a = Sin 75° / 22
a = 21.80
a ≈ 22
Hence, the measurement of the third side of the triangle is 22 cm
Learn more about sine law, click;
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Related Questions
Ben and Corinne are filling goodie bags for a party. Each goodie bag needs an eraser, a bubble wand, and a few candy bar bites. Ben filled 25 goodie bags in 20 minutes. Corinne filled 27 goodie bags in 24 minutes. Who filled goodie bags at a faster pace?
Answers
Answer:
Ben
Step-by-step explanation:
Corinne is slower
Answer:
GDAY MATES Its ben
Step-by-step explanation:
i did the test ~your friendly aussie~
Plz answer will give brainliest if correct
Answers
Answer:
The answer is A.
Step-by-step explanation:
2. Las dimensiones de una caja de bombones son de 12.5 cm
de largo, 6.3 cm de ancho y 6 cm de alto. ¿Cual es el
volumen de la caja de bombones?
Answers
Answer:
creo que puede ser 24.8 siiiiiiii eso puede ser
The dimensions of a rectangle are √50a^3b^2 and √200a^3. What is the students error?
Answers
Answer:
The student incorrectly simplified [tex]30ab\sqrt{2a}+20a\sqrt{2a}[/tex] .
Thus, option D is correct.
Step-by-step explanation:
The formula to determine the Perimeter of a rectangle of width w and length l is expressed as:
[tex]P = 2l + 2w[/tex]
In other words, the perimeter can be determined by multiplying the length and width by 2 and adding the result.
In our case, the dimensions of a rectangle are [tex]\sqrt{50a^3b^2}[/tex] and [tex]\sqrt{200a^3}\:\:[/tex].
Here is the student's solution:
[tex]2\sqrt{50a^3b^2}+2\sqrt{200a^3}=2\cdot 5ab\sqrt{2a}+2\cdot 10a\sqrt{2a}[/tex]
[tex]=10ab\sqrt{2a}+20a\sqrt{2a}[/tex]
[tex]=30ab\sqrt{2a}[/tex]
The student made an error in calculating [tex]30ab\sqrt{2a}+20a\sqrt{2a}[/tex] , because [tex]30ab\sqrt{2a}+20a\sqrt{2a}[/tex] are not like terms.
Hence, [tex]30ab\sqrt{2a}+20a\sqrt{2a}[/tex] can not be simplified to [tex]30ab\sqrt{2a}[/tex]
Therefore, the student incorrectly simplified [tex]30ab\sqrt{2a}+20a\sqrt{2a}[/tex] .
Thus, option D is correct.
Here is the correct Solution:
[tex]2\sqrt{50a^3b^2}+2\sqrt{200a^3}=2\cdot 5ab\sqrt{2a}+2\cdot 10a\sqrt{2a}[/tex]
[tex]=10ab\sqrt{2a}+20a\sqrt{2a}[/tex]
Answer:
D. The student incorrectly simplified 10ab sqrt2a+ 20a sqrt2a
Step-by-step explanation:
Just did it.
4 If 100 ipods are produced the cost is $102,500 and if 2000 ipods are produced the cost is $150,000. Find
the production cost per ipod. Write a linear equation. What is the cost to produce 500 ipods?
Answers
Answer:
512,500
Step-by-step explanation:
answer my question instead of saying shut up mia
Which property is used in the first step to solve this equation
4(x-6)=5
4x-24 = 5
4x= 29
x=29/4
Answers
Answer:
Distributive property
Step-by-step explanation:
. Which of the following situations is best represented by the equation y = x + 15?
1 Each student begins the candy hunt with 15 pieces of candy in their bag.
2 Emery earns $15 per hour babysitting.
3 Joshua spent $15 of his money at the movie theatre.
4 Each homeroom class has at least 15 students.
Answers
Step-by-step explanation:
= 30 djdjsbdjdbdbdu djsjsbs
I say that A best represents the equation.
The reason I say this is because the equation (y= x + 15) can be explained like this.
y= Total amount of candy (in this case since it's based on A)
x= Amount found (normally would be called earned)
15= starting amount (aka initial value)
So since each student started with 15 you would add that on to X= the total amount found. Then after that the total value (y) would have been represented by the equation X + 15.
All in all A best represents the equation Y= X + 15.
Hope this helps.
。 . . 。 ඞ ඞ ඞ ඞ ඞ ඞ ඞ 。 . • . [Northstar] was ejected. . . 。 . 。 ﾟ . . , . . .. 。 • ﾟ 。 . . . 。。 • ﾟ 。 . . . 。。 • ﾟ 。 . . . 。。 • ﾟ 。 . . . 。
what the answer to this 7(3 + b)
Answers
Answer:
21 + 7b
Step-by-step explanation:
We have the expression 7(3 + b) and are being asked the answer.
Our expression has a number out of a certain parenthesis, when this occurs, this means that we must distribute the number outside the parenthesis to the numbers inside. Do as following :
7(3 + b)
(7(3) + 7(b))
21 + 7b
(I am unsure on whether you forgot the "= 0" at the end, if you did please tell me in the comment section and I will change my answer.)
How many terms will be in the expansion of (x-8y)^10?
There will be 10 – 1 = 9 terms in the expansion.
There will be 10 x 1 = 10 terms in the expansion.
There will be 10 + 1 = 10 terms in the expansion.
There will be 10 divided 1 = 11 terms in the expansion.
NEED THIS ASAP
Answers
Answer:
Step-by-step explanation:
There will be 10+1 = 11 terms in the expansion.
Gianna had a canister with 6 1/2 pounds of sugar. She used 2 3/4 pounds of sugar to make cookies. How much sugar is left in the canister?
A. 3 3/4
B. 4 1/4
C. 4 3/4
D. 17 7/8
Answers
your height is 5ft 2 in btw i will give brainliest
Answers
Answer:
about 6
Step-by-step explanation:
a shadow is long so it kind of depends on where the sun is but what the shadow is casting off of is no actually that tall
The length of a rectangular rug is 4 less than twice its width. The perimeter of the rug is 40 feet. What is the area of the rug?
1) 96 sq ft
2) 56 sq ft
3) 104 sq ft
4) 86 sq ft
Answers
Answer:
96 sq ft
Step-by-step explanation:
Ok so if the width of the rectangle rug is 12 ft then you have to do 12*2-2 which is 8. A rectangle with these dimensions has a perimiter of 40 and an area of 96. (Double check to make sure I'm correct)
Classify the equation as a conditional equation, an identity, or a contradiction. 4x+5x−15=9x−10−5
Answers
Answer:
Identity
Step-by-step explanation:
Conditional equation, an identity, or a contradiction.
Conditional equation: Two sides are equal for some value of x.
Identity: Two sides are equal for every value of x.
Contradiction: We have 0x = number that is not 0.
4x+5x−15=9x−10−5
Lets solve
[tex]4x + 5x - 15 = 9x - 10 - 5[/tex]
[tex]9x - 15 = 9x - 15[/tex]
Equal on both sides, so identity.
Answer:
conditional equation
Step-by-step explanation:
Collecting terms on both sides, we get
−4+3x−5x−2x−4=−1−10+x=x−11
Subtracting x and adding 4 to both sides of the equation, we get
−3x=−7
This can be solved by dividing by −3 on both sides of the equation, which gives a unique solution of 73. So, this is a conditional equation.
PLEASE HELP ME!!!!!
Amelia is going to invest $90,000 and leave it in an account for 12 years. Assuming the interest is compounded monthly, what interest rate, , would be required in order for Amelia to end up with $144,000?
Answers
Answer:
3.92%
Step-by-step explanation:
what does math means
Answers
Answer:
It means mathematics.
Lamoo thats wht it said in go-ogle
Step-by-step explanation:
Every 8 hours, a company is able to manufacture 14 tents. Suppose that the total number of tents, y, is graphed agains the total number of hours, x. What is the slope?
Answers
You have just opened a new dance club, Swing Haven, but are unsure of how high to set the cover charge (entrance fee). One week you charged $4 per guest and averaged 80 guests per night. The next week you charged $10 per guest and averaged 44 guests per night. (a) Find a linear demand equation showing the number of guests q per night as a function of the cover charge p.
Answers
Answer:
[tex]q = -6p + 104[/tex]
Step-by-step explanation:
Linear function:
A linear function has the following format:
[tex]q = mp + b[/tex]
In which m is the slope and b is the q-intercept.
One week you charged $4 per guest and averaged 80 guests per night. The next week you charged $10 per guest and averaged 44 guests per night.
This means that we have these following points: (4,80), (10,44).
Finding the slope:
With a pair of points, the slope is given by the change in q divided by the change in p.
Change in q: 44 - 80 = -36
Change in p: 10 - 4 = 6
Slope: [tex]m = \frac{-36}{6} = -6[/tex]
So
[tex]q = -6p + b[/tex]
Finding b:
We replace one of the points. Replacing (4,80).
[tex]q = -6p + b[/tex]
[tex]80 = -6*4 + b[/tex]
[tex]b = 104[/tex]
So
[tex]q = -6p + 104[/tex]
find the missing number in this proportion.
[tex] \frac{48}{80} = \frac{6}{?} [/tex]
Answers
80 divided by 8 is 10 therefore the answer is 10
What is the answer to the following equation:
[tex]\frac{5}{4} \geq \sqrt[-443]{343434789} \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \alpha \beta x_{1397} \neq 8^{2}[/tex]
thanks[tex]\frac{5}{4} \geq \sqrt[-443]{343434789} \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \alpha \beta x_{1397} \neq 8^{2}[/tex]
Answers
Answer:
bro go0gle is the right answer for this i dont think the smartes person in the world can solve this.
Step-by-step explanation:
Determine which of the given procedures describe a binomial distribution. Select one: A. Record the number of ear piercings in a group of 30 randomly selected college students. B. Observing that five out of the next ten customers at a hotdog stand order hot peppers given that the probability of ordering hot peppers is 0.18. C. Surveying customers leaving a hardware store until a customer responds that he or she spent more than fifty dollars.
Answers
Answer:
B. Observing that five out of the next ten customers at a hotdog stand order hot peppers given that the probability of ordering hot peppers is 0.18.
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Option A:
No, since it is not the probability, or percentage of students that have ear pircings, it is the number, which can assume values larger than 1.
Option B:
Yes, since it is a probability, each customer is independent of other customers, and in each trial, there are only two possible outcomes. This is the correct answer.
Option C:
No, this is called inverse binomial, as we want to find the number of customers until one does something, not the probability of a number of customers doing something.
Kevin made 4 of his 6 shots on goal at soccer practice.
If he continues to shoot in the same manner throughout the
practice, how many shots would he make out of 72?
Answers
Answer:
48
Step-by-step explanation:
4/6 = 2/3
2/3 times 72 = 48
Negative fourty-eight and fifteenth thousand in decimal form
Answers
Answer:
-48.015
Step-by-step explanation
Streamline Market sells ground beef. Ground Beef sells for 1 pound at $1.39. 1 pound makes 4 hamburgers. What is the cost of 30 hamburgers rounded to the nearest cent?
Answers
Step by step:
30 / 4 = 7.5, so 7.5 pounds is needed
7.5 x 1.39 = 10.425 which is rounded to 10.43$
There are 22 students in your class. Your teacher is going to choose 2 students at random for a prize. What is the probability that it will be you and your best friend that is in the class?
A. 36
B. 70
C. 1/462
D. 6(4X+3Y-2)
E. 18.75
F. 23.36
G. 2.54
H. 36.3
I. 6(4X-3Y+2)
Answers
Answer:
C) 1 / 462
Step-by-step explanation:
22 x 21 = 462
. At 9 am on a regular school day, there are 35 students in the library. If for every 30 minutes,
5 students will leave, but 2 students will come, at what time will there be no more students in
the library?
Answers
Answer:
360 minutes or In 6 hours.
Step-by-step explanation:
Can someone please help me
I’m not good at math and I need to multiply this
135
x 62
Answers
Ratio table answer If I buy two ice cream’s for six dollars how much would it cost to buy 10 ice cream’s
Answers
Answer:
It would cost $30 to buy 10 ice creams.
Step-by-step explanation:
1 ice cream costs $3
10*3=30
Eugene had $57.93 to spend when he went to Staples. He bought 4 notebooks for $7.99 each and some pens for $2.49 each. After paying for his supplies he had $18.50 left. How much did each pens cost?
Answers
Answer:$6.21
Step-by-step explanation:
57.93 - (4 X 7.99)
= $33.96
$33.96 - $18.50
= $15.46
[tex]\frac{15.46}{2.49}[/tex]
= $6.2088
=$6.21
Joel is looking at payment plans for the gym.
Plan A: $25 per month plus $145 to start
Plan B: $50 per month
How many months would it take for Plan A to be cheaper than Plan B?
Answers
Answer:
5 months
Step-by-step explanation:
plan a: $145 +$25x ........ $145 + ($25 x 4)= $245
plan b: $50x.......... $50 x 5= $250
Is figure ABCD a translation of Figure ABCD
A. Yes it is translated 2 units left and 2 units up
B. Yes it is translated 1 unit left and 3 units up
C. Yes it is translated 3 units left and 1 unit up
D. No the two figures are oriented diferently
