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3 years ago

Helpppppppppppppppppppp

Mathematics

1 answer:

AleksAgata [21]3 years ago

7 0

The answer is 4 cm.

You have got a right-angled triangle.

Use the Pythagorean theorem.
The most common triangle is 3 x 4 x 5.
So if the short side is 3, and the hypotenuse is 5, the long side HAS TO BE 4.

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Use the Law of Sines to find the missing angle of the triangle.

Molodets [167]

Answer:

66.9 degrees

Step-by-step explanation:

The Law of Sines states that a/sinA = c/sinC. Plugging in the values for c, a, and M < A, we get:

71/sin40 = 102/sinC

Cross multiplying, we get:

102(sin40deg) = 71(sinC)

Now, we simplify the left side and get:

65.56 = 71(sinC)

Next, we divide 65.56 by 71 to get:

0.92 = sinC

Taking the inverse sign we get:

C = 66.9 degrees

8 0

3 years ago

Mike and Ike are twins. Mike’s age is one more than twice a certain number. Ike’s age is 10 less than triple that same number. F

Misha Larkins [42]

Mike age is 3 less then twice the age of his brother nuke.
M = Mike's age now
N = Nuke's age now
M = 2N - 3

Ten years ago, four times nuke's age was one more mike's age.
M-10 = Mike's age 10 years ago
N-10 = Muke's age 10 years ago
4(N - 10) = 1 + M -10

what are their present ages

find M and N

substitute M = 2N - 3 into 4(N - 10) = 1 + M -10:

4(N - 10) = 1 + [2N - 3] - 10
4N - 40 = 2N - 12
2N = 28
N = 14

M = 2(14) - 3 = 28 - 3 = 25

Mike is 25 and Nuke is 14.

check:
4(14 - 10) = 4(4) = 16 = 26 -10 = 1 + 25 - 10

4 0

3 years ago

Find the probability of getting four consecutive aces when four cards are drawn without replacement from a standard deck of 52 p

posledela

Answer:

P=0.0000037

P=0.00037%

Step-by-step explanation:

Probability

A standard deck of 52 playing cards has 4 aces.

The probability of getting one of those aces is

$\displaystyle \frac{4}{52}=\frac{1}{13}$

Now we got an ace, there are 3 more aces out of 51 cards.

The probability of getting one of those aces is

$\displaystyle \frac{3}{51}=\frac{1}{17}$

Now we have 2 aces out of 50 cards.

The probability of getting one of those aces is

$\displaystyle \frac{2}{50}=\frac{1}{25}$

Finally, the probability of getting the remaining ace out of the 49 cards is:

$\displaystyle \frac{1}{49}$

The probability of getting the four consecutive aces is the product of the above-calculated probabilities:

$\displaystyle P= \frac{1}{13}\cdot\frac{1}{17}\cdot\frac{1}{27}\cdot\frac{1}{49}$

$\displaystyle P= \frac{1}{270,725}$

P=0.0000037

P=0.00037%

3 0

3 years ago

What is the inverse of the function? * f(x)=3x+1

olchik [2.2K]

Answer:

The inverse of f(x)=3x+1 is f(x)−1=13x−13

Step-by-step explanation:

8 0

4 years ago

Read 2 more answers

Write an equation for a rational function with:

vodomira [7]

Step-by-step explanation:

$- 6\frac{(x + 3)(x - 4)}{(x - 2)(x - 4)}$

vertical asymptote indicates the denominator part and the x-intercept the nemominator and you multiply it by variable b then give the value of x 0 to get y-intercept =b(-12/8)=9

b=-6

5 0

3 years ago