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3 years ago

How do you simplify expressions

Mathematics

1 answer:

ch4aika [34]3 years ago

8 0

Answer

Well first you need to remove parentheses by multiplying factors. Next

use exponent rules to remove parentheses in terms with exponents. Then

combine like terms by adding coefficients. Finally you just

combine the constants.

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An urn contains 6 red marbles and 4 black marbles. Two marbles are randomly drawn (one by one) from the urn without replacement.

strojnjashka [21]

Answer: The required probability is $\dfrac{2}{15}.$

Step-by-step explanation: Given that an urn contains 6 red marbles and 4 black marbles. Two marbles are randomly drawn one by one from the urn without replacement.

We are to find the probability that both drawn marbles are black.

Let E and F denote the events of two marbles one by one without replacement and let S and S' denote the corresponding sample spaces.

Then, we have

$n(E)=^4C_1=4,\\\\n(F)=^3C_1=3,\\\\n(S)=^{10}C_1=10,\\\\n(S')=^9C_1=9.$

Therefore, the probability that both marbles are red is given by

$p=P(E)\times P(F)=\dfrac{n(E)}{n(S)}\times\dfrac{n(F)}{n(S')}=\dfrac{4}{10}\times\dfrac{3}{9}=\dfrac{2}{15}.$

Thus, the required probability is $\dfrac{2}{15}.$

4 0

3 years ago

Determine the measure of angle C using a trigonometric ratio.

masya89 [10]

Answer:

34.836

Step-by-step explanation:

sin(C)=opp/hyp=16/28=4/7

C= inverse sin = 34.836 deg

4 0

3 years ago

olga55 [171]

Answer:

$volume = \pi {r}^{2} h \\ = 3.14 \times {(2)}^{2} \times 6 \\ = 75.4 \: {cm}^{3}$

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3 years ago

Can someone check my work? #8

Basile [38]

Answer:

yeah the answer is right

3 0

3 years ago

A man is standing at a radar base and observes an unidentified plane at an altitude 6000m flying towards the radar base at an an

liubo4ka [24]

Answer:

The speed in of the plane is 115.47 m/sec

Step-by-step explanation:

Given:

Height at which the plane is flying = 6000 m

Angle of elevation at the radar base = 30 Degrees

Angle of elevation at the radar base after one minute = 60 Degrees

To Find:

The Speed of the plane in meter per second = ?

Solution:

Let us use the tangent of the angle to find the distance (d) to a point directly below plane:

when the angle is 30 degrees

$tan(30) = \frac{6000}{d1}$

$d1 = \frac{6000}{tan(30)}$

$d1 = \frac{6000}{0.577}$

d1 = 10392.3 meters

when the angle is 60 degrees

$tan(60) = \frac{6000}{d2}$

$d2 = \frac{6000}{tan(60)}$

$d2 = \frac{6000}{1.732}\\$

d2 = 3464.1 meters

distance travelled by aircraft in 1 min is

=>d1 - d2

=>0392.3 - 3464.1

= 6928.2 m/min

Now converting to m/sec

=> $\frac{6928.2}{60}$

=>115.47 m/sec

4 0

3 years ago

How do you simplify expressions​

How do you simplify expressions