1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Jobisdone [24]
3 years ago
14

Find b, given that a = 20, angle A = 30°, and angle B = 45° in triangle ABC

Mathematics
2 answers:
Kamila [148]3 years ago
6 0
<span>The side b is opposite to the angle B, applying the law of the sines, we have:

</span>\frac{a}{sinA} = \frac{b}{sinB}
\frac{20}{sin30^0} = \frac{b}{sin45^0}
\frac{20}{ \frac{1}{2} } = \frac{b}{ \frac{ \sqrt{2} }{2} }
20* \frac{ \sqrt{2} }{2}  = b* \frac{1}{2}
\frac{20 \sqrt{2} }{2} = \frac{b}{2}
2*b =2*20 \sqrt{2}
2b = 40 \sqrt{2}
b =  \frac{40 \sqrt{2} }{2}
\boxed{b = 20 \sqrt{2} }
Inga [223]3 years ago
4 0

Answer:

b = 20√2

Step-by-step explanation:

Given: ΔABC

           a = 20 , m∠A =  30° and m∠B = 45°

To find: value of b.

We use Sine result, which state that

\frac{a}{sin\,A}=\frac{b}{sin\,B}

Substituting given values we, get

\frac{20}{sin\,30^{\circ}}=\frac{b}{sin\,45^{\circ}}

we know that sin\,30^{\circ}=\frac{1}{2}\:and\:sin\,45^{\circ}=\frac{1}{\sqrt{2}}, we get

\frac{20}{\frac{1}{2}}=\frac{b}{\frac{1}{\sqrt{2}}}

20{\times2}=b\times\sqrt{2}

b\times\sqrt{2}=40

b=\frac{40}{\sqrt{2}}

b=20\sqrt{2}

Therefore, b = 20√2

You might be interested in
Which shows the quotient of g and 7?
egoroff_w [7]
The answer is d because quotient means the outcome of a division between two numbers. So therefore it has to be a division equation, which is d.
4 0
3 years ago
A roulette wheel has 38 slots, of which 18 are black, 18 are red,and 2 are green. When the wheel is spun, the ball is equally li
Butoxors [25]

Answer:

Step-by-step explanation:

The question says,

A roulette wheel has 38 slots, of which 18 are black, 18 are red,and 2 are green. When the wheel is spun, the ball is equally likely to come to rest in any of the slots. One of the simplest wagers chooses red or black. A bet of $1 on red returns $2 if the ball lands in a red slot. Otherwise, the player loses his dollar. When gamblers bet on red or black, the two green slots belong to the house. Because the probability of winning $2 is 18/38, the mean payoff from a $1 bet is twice 18/38, or 94.7 cents. Explain what the law of large numbers tells us about what will happen if a gambler makes very many betson red.

The law of large numbers tells us that as the gambler makes many bets, they will have an average payoff of which is equivalent to 0.947.

Therefore, if the gambler makes n bets of $1, and as the n grows/increase large, they will have only $0.947*n out of the original $n.

That is as n increases the gamblers will get $0.947 in n places

More generally, as the gambler makes a large number of bets on red, they will lose money.

6 0
3 years ago
The length of a side of a cube can be determined
seraphim [82]

Answer:

Side of cube = 4 cm

Step-by-step explanation:

Given:

Volume of cube = 64 cm³

Find:

Side of cube

Computation:

Volume of cube = side³

64 = side³

Side of cube = 4 cm

8 0
2 years ago
has 10 marbles than Emma Emma has M number of marbles write a variable expressions for the number of marbles that Dave has​
leva [86]
YOUR MUM YOU C. U N T
3 0
3 years ago
Read 2 more answers
Can some help with this problem
lys-0071 [83]

Answer:

x+115=180 x=65

90+65+y=180 y=25

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • −4x + (−3) = –x + 3.<br><br> x=
    13·2 answers
  • Finish multiplying<br> 10/3 ⋅11/12?
    8·2 answers
  • Round 132,463,217 to the nearest hundred million<br><br> first person is brainliest
    10·1 answer
  • Evaluate the expression when b= -2, b2 +6b +9
    11·1 answer
  • A positive number divided by a negative number will result in a ___ quotient.
    6·1 answer
  • Brian has a gift card with a $250 balance. He buys several video games that cost $33 each. After the purchases, his gift card ba
    14·2 answers
  • It says solve for the variable can you explain
    15·1 answer
  • Cassidy's diving platform is 6 ft above the water. One of her dives can
    14·1 answer
  • (This is a word problem) You are making up your own mix of concrete to patch a set of stairs. In order to have the proper mix, y
    14·1 answer
  • The product of w and 2 is greater than or equal to 19.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!