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frez [133]
2 years ago
15

What is the angle of angle A in degrees

Mathematics
2 answers:
Margaret [11]2 years ago
7 0
Answer:
120°

Step-by-step explanation:
Triangle ABC is an isosceles triangle, which means ∠C = ∠B.
And the total degrees of a triangles inner angles is 180°.
So to find ∠A all you do is 180° - (∠C + ∠B).
∠C + ∠B would be 30+30 which is 60°
And 180° - 60° is 120°.

Hope this helps!
-BARSIC- [3]2 years ago
3 0

\huge\fbox{Answer ☘}

From the figure , it is quite clear that the sides AB and AC have the same measure , i.e. , 8 units .

we know that ,

angles opposite to equal sides are equal.

therefore ,

∠B = ∠C = 30°

Now ,

angle sum property of a ∆ states that the sum of all the angles of a triangle equals 180°

thus ,

∠A + ∠B + ∠C = 180° \\  \\ ∠A + 30° + 30° = 180° \\  \\ ∠A + 60° = 180° \\  \\ ∠A = 180° - 60° \\  \\ ∠A = 120°

therefore ,

option ( c ) 120° is correct .

hope helpful ~

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Suppose that the probability that any particle emitted by a radioactive material will penetrate a certain shield is 0.01. If 10
AnnyKZ [126]

Answer:

a)P=0.42

b) n\geq 297

Step-by-step explanation:

We have a binomial distribution, since the result of each experiment admits only two categories (success and failure) and the value of both possibilities is constant in all experiments. The probability of getting k successes in n trials is given by:

P=\begin{pmatrix}n\\ k\end{pmatrix} p^k(1-p)^{n-k}=\frac{n!}{k!(n!-k!)}p^k(1-p)^{n-k}

a) we have k=2, n=10 and p=0.01:

P=\frac{10!}{2!(10!-2!)}0.01^2(1-0.01)^{10-2}\\P=\frac{10!}{2!*8!}0.01^2(0.99)^{8}\\P=45*0.01^2(0.99)^8=0.42

b) We have, 1-(1-p)^n=P, Here P is the probability that at least one particle will penetrate the shield, this probabity has to be equal or greater than 0.95. Therefore, this will be equal to subtract from the total probability, the probability that the particles do not penetrate raised to the total number of particles.

1-0.99^n\geq 0.95\\0.99^n\leq 1-0.95\\0.99^n\leq 0.05\\n\geq 297

4 0
3 years ago
Please help I’ll give brainliest!!!
solong [7]

Answer:

the 3 one

Step-by-step explanation:

3 0
3 years ago
The mean of your test scores is 83.75. Three of your scores are 71, 89, 100. What is your fourth test score
Margaret [11]

Answer:

75

Step-by-step explanation:

(71+89+100+x)/3=83.75

(83.75*4)

335-100-89-71=75

8 0
3 years ago
A rectangular auditorium seats 1344 people. The number of seats in each rows exceeds the number of rows by 20. Find the number o
Tasya [4]
Let the number of rows be x

rows = x
seats in each row = x + 20

total seats = 1344
x (x + 20) = 1344
x^2 + 20x - 1344 = 0
(x + 48)(x - 28) = 0
x = -48  (rejected, answer cannot be negative) or x = 28

Therefore,
x = 28 
x + 20 = 48


Check:
Row = 28
Numbers of seat per row = 28 + 20 = 48
28 x 48 = 1344 (Correct)
 
Ans:There are 48 seats per row 
8 0
3 years ago
When Anna was born 16 years ago, her small town of Lewisville had a population of 15,000. The population has increased 11% each
Alex17521 [72]
15.000 ÷ 100

150 = 1%

1650 = 11%

1650 x 16 = 26.400

26.400 + 15.000 = 41.400

So 41.400 is the population number now.
7 0
3 years ago
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