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aleksklad [387]
4 years ago
15

Rational Expression Simplify: x/x+2

Mathematics
1 answer:
kirza4 [7]4 years ago
5 0
3 is the answer cuz x/x cancels out and gives 1
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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:

<u>when the angle is 30 degrees</u>

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

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

d1 = \frac{6000}{0.577}

d1 = 10392.3 meters

<u>when the angle is 60 degrees</u>

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

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

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

d2 = 3464.1 meters

<u>distance travelled by aircraft in 1 min is  </u>

=>d1 - d2

=>0392.3 - 3464.1

= 6928.2 m/min

<u>Now converting to m/sec</u>

=>\frac{6928.2}{60}

=>115.47 m/sec

4 0
3 years ago
A tiara is studded with a mixture of gems. The ratio of sapphires to emeralds is 3:1. If 6 emeralds are added, the tiara will co
anygoal [31]

Answer: Option 'A' is correct.

Step-by-step explanation:

Since we have given that

Ratio of sapphires to emeralds = 3:1

Let the number of sapphires be 3x.

Let the number of emeralds be 'x'.

According to question, if 6 emeralds are added, we get that

3x=x+6\\\\3x-x=6\\\\2x=6\\\\x=\dfrac{6}{2}\\\\x=3

So, Number of sapphires = 3×3 = 9

Number of emeralds = 3

So, total emeralds would be 3+ 6 = 9.

Hence, option 'A' is correct.

3 0
4 years ago
Solve for x. Round to the nearest tenth of a degree, if necessary. Answer:x =
podryga [215]

Answer:

x = 61.6 degree

Step-by-step explanation:

take x degree as reference angle

using sin rule

sin x = opposite / hypotenuse

sin x = 4.8 / 5.4

sin x = 0.88

x = sin^{-1} (0.88)

x = 61.64

x = 61.6 degree

8 0
3 years ago
The nth term of a sequence is 2n-1.
damaskus [11]

Answer: 25, 31 and 37

Step-by-step explanation:

(2n-1)= 19, 21, 23, 25, 27, 29, 31, 33, 35, 37

(3n+1)= 19, 22, 25, 28, 31, 34, 37,

5 0
3 years ago
True or False. <br> A binomial is also a polynomial.
IgorLugansk [536]
True. A binomial is a polynomial that is the sum of two terms.
6 0
3 years ago
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