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Verdich [7]
3 years ago
13

Using the Law of sines, in triangle ABC, if measurement of angle B = 105°, b = 23, a = 14, find measurement of angle A

Mathematics
1 answer:
Degger [83]3 years ago
3 0
Check the picture below.

make sure your calculator is in Degree mode.

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In 1970 there were estimated to be around 40,000 Bengal Tigers in the world. The population of Bengal Tigers decreased by an ave
NISA [10]

Answer:

Step-by-step explanation:

y = (40000)0.95^t

t = time in years

4 0
3 years ago
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250% of a number is 60. What is the number
katrin [286]

60 / 2.50 = 24

the number is 24

7 0
2 years ago
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In a competition, a school awarded medals in different categiories.40 medals in sport 25 medals in danceand 212 medals in music,
aleksley [76]

Answer:

210

Step-by-step explanation:

Given:

Medals in sports = 40

Medals in dance = 25

Medals in music = 212

Total students that received medals = 55

Total students that received medals in all three categories = 6

Required:

How many students get medals in exactly two of these categories?

Take the following:

A = set of persons who got medals in sports.

B = set of persons who got medals in dance

C = set of persons who got medals in music.

Therefore,

n(A) = 40

n(B) = 25

n(C) = 212

n(A∪B∪C)= 55

n(A∩B∩C)= 6

To find how many students get medals in exactly two of these categories, we have:

n(A∩B) + n(B∩C) + n(A∩C) −3*n(A∩B∩C)

=n(A∩B) + n(B∩C) + n(A∩C) −3*6 ……............... (1)

n(A∪B∪C)=n(A)+n(B)+n(C)−n(A∩B)−n(B∩C)−n(A∩C)+n(A∩B∩C)

Thus, n(A∩B)+n(B∩C)+n(A∩C)=n(A)+n(B)+n(C)+n(A∩B∩C)−n(A∪B∪C)

Using equation 1:

=n(A)+n(B)+n(C)+n(A∩B∩C)−n(A∪B∪C)−18

Substitute values in the equation:

= 40 + 25 + 212 + 6 − 55 − 18

= 283 - 73

= 210

Number of students that get medals in exactly two of these categories are 210

6 0
3 years ago
write balanced chemical equation for the process of photosynthesis giving the physical state of all the substances involved in t
RideAnS [48]

Answer:

The process of photosynthesis is commonly written as: 6CO2 + 6H2O → C6H12O6 + 6O2.

Step-by-step explanation:

3 0
2 years ago
3.<br> Simplify 32 • 35. (4 points)<br><br><br> 37<br><br> 310<br><br> 97<br><br> 910
Anarel [89]
Hey there!

In order for you to solve for this equation, you need to multiply. That’s what the “•” is or means!

32 • 35 = ?

None of the above, because 32 times 35 equals 1,120

Answers 1,120 ✅

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)
7 0
3 years ago
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