In the following triangle, find the values of the angles B and B, which are the
best approximations to the solutions to this ambiguous case?
10
8.2
8.2
)45°
B
BY
A. B = 55° or B = 125°
B. B = 67° or B = 102.2°
C. B = 62.4° or B = 117.6°
D. B = 59.6° or B = 120.40
Answers
Answer: option D. B = 59.6° or B' = 120.4°
Step-by-step explanation:
Since the law is a/sinA = b/sinB = c/sinC you can try and verify each of them, by
10/sin(B)=......
and only B = 59.6° or B' = 120.4° give you the closed to 8.2/sin(45)= 11.59655121 which was 11.59401915.
(why the closed? because the question said it is "approximated")
The values of angles B and B' will be 59.6° and 120.4°, i.e. option C is the correct answer.
What is triangle ?Triangle is a three sides two dimensional surface having three angles.
We have,
A triangle in which,
One of the angle is 45°, and the side opposite to angle 45° is 8.2 with corresponding angle B.
And the side opposite to angle B is 10.
Now,
Using the law of sine,
i.e.
[tex]\frac{SinA}{a} =\frac{SinB}{b} =\frac{Sin c}{c}[/tex]
So,
According to the given triangle,
We get,
[tex]\frac{Sin 45^0}{8.2} = \frac{Sin B}{10}[/tex]
We get,
[tex]Sin B=\frac{Sin 45^0}{8.2} *10[/tex]
On solving we get,
⇒
[tex]SinB= 59.58^0\ \ or\ \ SinB= 120.42[/tex]
i.e.
[tex]SinB= 59.6^0 \ \ or\ \ SinB'= 120.40[/tex]
So,
The option C is the correct answer.
Hence, we can say that the values of angles B and B' will be 59.6° and 120.4°, i.e. option C is the correct answer.
To know more about Triangle click here
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Related Questions
I know the answer already but can someone explain it please
2187= 3^x
Answer is x=7
Answers
Answer:
3^x = 2187 is equivalent to log 3 (2187) = x. (the three is the small number that goes lower next to the g). Then, use a calculator to do log(2187) / log(3)
Step-by-step explanation:
Jack needs 84 inches of rope to tie some packages and 4 feet of rope for
another project. Does Jack have enough rope? Explain.
Answers
Answer:
is 132 enough? We need more info.
Step-by-step explanation:
His projects would need 84+(12*4) inches of rope. This means he needs 132 inches of rope. Do you know how much rope he has?
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A construction company spends w weeks extending an existing road. The existing road is 5 miles long. Each week the company completes 0.2 miles of the extension. Which equation models the total length (L) of the road?
A. L = 0.2w + 5
B. L = 0.2w - 5
C. w = 0.2L + 5
D. w = 0.2L - 5
Answers
Answer:
A. L=0.2w+5
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Put the following in order from least to greatest. -34.5,-34.75,-34 1/4,-34
Answers
Answer:
A.) -34, -34 1/4, -34.5, -34.75
Step-by-step explanation:
No need to have -34 TWICE on a list from least to greatest or greatest to least. This is a typo for sure.
Choice c is the answer.
3) What is 3x +15y=-16 in slope intercept form?
Answers
Answer:
y=-1/5x-16/15
Step-by-step explanation:
slope intercept form y=mx+b
3x+15y=-16
15y=-3x-16 divide both sides by 15
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y=-1/5x-16/15
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Write an inequality that represents this situation below. Be sure to define your variable in words.
The high school softball team needs to buy T-shirts for their games. The T-shirts cost $8 a piece and they only have $100 to spend.
Answers
Answer:
100-(8 times y)
Step-by-step explanation:
The high school softball team needs to buy T-shirts for their games. The T-shirts cost $8 a piece and they only have $100 to spend.
8 a peice
This means that the money costs 8$ for each of the players. We don't know how many players there are, so we will just label the amount of players as "y"
And we will multiply 8 times y to get our answer
And then we will subtract THAT answer minus 100 to get our full answer.
Hope this helps!
Have a great day!
5 Find the area of the polygon.
$ cm
9 cm
2 em
A 45 cm
B. 90 cm
C. 94.5 cm
D. 72 cm
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Answers
SOMEONE PLEASE HELP I DONT HAVE MUCH TIME ILL MARK YOU BRAINLIST
7. The milligrams of aspirin in a person's body is given by the equation a = 500 - (3/4)
where t is the number of hours since the patient took the medicine.
b. In the equation, what does the 500 tell us about the situation?
c. In the equation, what does the tell us about the situation?
d. Graph the equation for values of t between 0 and 4.
Answers
Answer:
a. 281.25 grams
b. The 500 represent the original amount of aspirin.
c. 3/4 tells us what amount of the aspirin remains after every hour.
d's answer is in the picture. Just copy the line.
Step-by-step explanation:
A is the only part that needs any explanation.
Since the t represent hours, I'll subsititute t for 2.
500 * (3/4)²
3/4 squared is 9/16.
500 * 9/16
Multiply 500 by 9 to get 4500.
4500/16
Simplify 4500/16 to 1125/4 (4 is canceled out.)
1125/4
Divide 1125 by 4 to get 281.25
281.25
281.25 grams of aspirin will be in the patient body after two hours.
A TV that usually sells for $174.45 is on sale for 15% off. If sales tax on the TV is 8%, what is the price of the TV, including tax?
Answers
Answer:
$160.14
Step-by-step explanation:
15% of 174.45 = 26.16
174.45 - 26.16 = 148.28
8% of 148.28 = 11.86
148.28 + 11.86 = 160.14
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Answers
Answer:
99+3b
Step-by-step explanation:
The original equation would be 3(33+b), but simplifying it would get 99+3b.
substitiution method i really need help
Answers
Answer:
x = 7
y = 0
Step-by-step explanation:
Equation: 2x - 9y = 14
We are given that x = -6y + 7
So we substitute (-6y + 7) for "x" in the equation 2x - 9y = 14
* substitute *
2 ( -6y + 7 ) - 9y = 14
now we solve for y using basic algebra
step 1 distribute the 2
2 * -6y = -12y
2 * 7 = 14
now we have -12y + 14 - 9y = 14
step 2 combine like terms
-12y - 9y = -21y
now we have -21y + 14 = 14
step 3 subtract 14 from each side
14 - 14 cancels out
14 -14 = 0
now we have -21y = 0
step 4 divide each side by -21
-21y / -21 = y
0 / -21 = 0
we're left with y = 0
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To find x we substitute 0 for "y" in x = -6y + 7
* substitute *
x = -6 ( 0 ) + 7
-6 * 0 = 0
we're left with x = 7
The equation -x^2+4x-4=0 has no solutions
a. true
b. false
Answers
Answer:
true
Step-by-step explanation:
Let us calculate the determinant of this quadratic equation:
Δ = b^2 - 4ac = 16-4*(-1)*(-4) = 0
The equation has one solution
x = -b/2a = 2
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Answers
Answer:
A. 1 in 6 jeans or 16.67% or [tex]\frac{1}{6}[/tex]
B. 15
Step-by-step explanation:
B. [tex]\frac{1}{6} = \frac{x}{90}[/tex]
If you have any questions feel free to ask in the comments
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Answers
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Dieego is making a large mural he draws a hexagon with a perimeter of 10.5 meters each side is the same length. How amny meters long is diegos hexagon
Answers
Answer:
1.75m
Step-by-step explanation:
Given;
Perimeter of the hexagon = 10.5metres
Required
Side length of the hexagon
Since hexagon has 6 equal sides, hence the perimeter is expressed as;
P = 6a
a is the side length of the hexagon
Substitute the perimeter given
10.5 = 6a
a = 10.5/6
a = 1.75metres
Hence the length of each side of the hexagon is 1.75m
Jaylen and six of her younger siblings have ages that are consecutive. When they moved from San Francisco to Chicago, their ages (all seven of them) added up to 91. How old was Jaylen when they moved? Explain your thinking.
Answers
Answer:
Jaylen was 16 years old. She's the oldest.
Step-by-step explanation:
16 Jaylen
15 sibling 1
14 sibling 2
13 sibling 3
12 sibling 4
11 sibling 5
10 sibling 6
____________
91 Total
My thinking was that I started out dividing 91 by 7. That came out 13. So I knew the oldest one had to be older than 13.
If f(x)=x2, which equation represents function g?
A. g(x)=1/3f(x)
B. g(x)=3f(x)
C. g(x)=f(1/3x)
D. g(x)=f(3x)
Answers
1,345,456,234,234,345,234,-1234,567,890=? My subsititue is being mean so we can not use calculatars and I do not like to cheat anyway but in this case (yes)
Answers
Answer:
1,345,456,232,999, 777,344
Step-by-step explanation:
1,345,456,23 4, 2 3 4, 3 4 5, 2 3 4,
-1 2 3 4, 5 6 7, 8 9 0
1,345,456,23 2, 9 9 9, 7 7 7, 3 4 4
So we write the ones under the ones, tens under the tens starting from the right hand side.
The first numbers can be easily subtracted as 4 is greater than zero. Then comes 3 which is less than 9 so we borrow 1 digit from the left to right to make it 13 and subtract 9 from it and get a 4. Then we are left with 1 as we have already borrowed 1 digit. As 1 is less than 8 we again borrow 1 digit from the left to make it 11 and subtract 8 and get 3. So the next number is 4 as we have already borrowed 1 and it is less than 7 . Again we will borrow 1 digit from the left to make it 14 and subtract 7 to get a 7.
So the process continues until we get the answer.
1.2675 * 10^37 =
help pls its like 3am and for some reason my brain doesn't work :)
Answers
Answer:
the answer of the given equation is 1.2675E+37
Step-by-step explanation:
The computation is shown below:
Given that
= 1.2675 × 10^37
The above equation we need to solve
So,
= 1.2675 × 1E+37
= 1.2675E+37
So the answer after solving the equation is 1.2675E+37
The same would be considered and relevant
Hence, the answer of the given equation is 1.2675E+37
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Answers
Answer:
42/5
Step-by-step explanation:
Answer: heres the right aswer 48/5.
This becomes the numerator of the improper fraction; the denominator of the new fraction is the same as the original denominator. For example, we can convert 9 3/5 into a mixed number: 9×5 = 45, and 45 + 3 = 48. Thus, 9 3/5 = 48/5.
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Answers
Mark me BRAINLIST
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Answers
Answer:
a) 5.2m b) 23.6m
Step-by-step explanation:
a) tan 33° = x/8
=> x = tan 33 × 8
=> x ≈ 5.2 m
b) tan 25° = 11/x
=> x = 11/tan 25°
=> 23.6 m
Tom and Brad often play a video game. One day, they tracked the scores they each received for 10 rounds.
Based on these samples, what generalization can be made?
A.
Tom's median video game score is less than Brad's median video game score.
B.
Tom's mean video game score is equal to Brad's mean video game score.
C.
Tom's mean video game score is more than Brad's mean video game score.
D.
Tom's range of video game scores is less than Brad's range of video game scores.
Answers
Answer:
Tom's median video game score is less than Brad's median video game score.
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Answer:
64 units^2
Step-by-step explanation:
A = 1/2*b*h
A = 1/2 * 16 * 8
A = 64
Answer:
64 units
Step-by-step explanation:
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Answer:
I belive it is Parellelogram
Find the equation of the circle with a center at (-2,10 and a point on the circle is at (4,9).
A. (x-2)^2+(y+1)^2=100
B. (x+2)+(y-1)^2=100
C. (x-2)+(y+1)^2=10
D. (x+2)^2+(y-1)^2=10
Answers
Answer:
d i think
Step-by-step explanation:
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Are the triangles shown below similar to one another?
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Answer:
yes
Step-by-step explanation:
...............................
Draw and label an example of
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Step-by-step explanation:
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Answer:
it is 3 in
Step-by-step explanation:
because 11 times 3 is 33 time 3 is 99