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Solnce55 [7]
3 years ago
14

Find the length of side x in simplest radical form with a rational denominator.

Mathematics
1 answer:
NeTakaya3 years ago
5 0

Answer:

x = 2 \sqrt{5}

Step-by-step explanation:

\sin \: 30 \degree =  \frac{ \sqrt{5} }{x}  \\  \\  \frac{1}{2} =  \frac{ \sqrt{5} }{x}  \\  \\x = 2 \sqrt{5}

You might be interested in
Find the point-slope form of the equation of the line passing through the points (5, –1) and (6, –8).
balandron [24]

Answer: y+1=-7 (x-5)

Step-by-step explanation:

The formula for point-slope form is y-y1= m (x-x1)

Step 1- Finding the slope by using formula    \frac{y2-y1}{x2-x1}:

(5,-1) (6,-8) or (x1, y1) (x2, y2)

-8+1 = -7

6-5 = 1

Slope + -7/1 or -7

Step 2- Then insert numbers in point slope form:

y-y1 = m(x-x1)

y+1 = -7 (x-5)

                                           

5 0
3 years ago
A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 96m long and 74m wide.
Oduvanchick [21]

Answer:

11402.66 m^{2}

Step-by-step explanation:

The width of rectangle is the diameter of the semi-circle part

Area of one semicircle is given by \frac {0.5\pi d^{2}}{4}

Total area of semi circle will be 2\times\frac {0.5\pi d^{2}}{4}

Substituting 74 m for d and \pi as 3.14 we obtain

Total area semi-circle=2\times\frac {0.5*3.14\times 74^{2}}{4}=4298.66 m^{2}

Area of rectangle is given by the product of length and width

Rectangular area=96 m*74 m=7104 m^{2}

Total area of rectangular and semi-circles will be

4298.66 m^{2}+7104 m^{2}=11402.66 m^{2}

Therefore, area of training field is 11402.66 m^{2}

6 0
3 years ago
A triangle has one side which 2 meters long and another side which is 5 meters long write a value that could be the length of th
Firlakuza [10]

Answer:

The measure of the third side should be less than 2+5 = 7

Length of the third side<7

Hope this helps!

7 0
3 years ago
1/8 of passengers of a train were children. if there were 40 children travelling in the train on a certain day, how many adults
lilavasa [31]

280 adults were there in the train.

What is linear equation definition and example?

  • The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.
  • An example of linear equation is y=mx + b. noun. 20.
  • A polynomial equation of the first degree (such as x = 2y - 7)

Given,

      Total children are in the train = 40

     1/8  are children in train and no of children in train ,

      ∴ 1/8 × x = 40

     x = 40 × 8 ⇒ 320

The no of  passenger in train  = 320

in total passenger, 40 are children .

So, rest adults passengers are = 320 - 40 ⇒ 280

There fore, 280 adults were there in the train.

Learn more about linear equation

brainly.com/question/13952160

#SPJ4

7 0
2 years ago
Diane owes $387 to her brother. If she debits her bank account $161.25 a month to pay him back, how many months will it take her
Naddika [18.5K]

Answer:

2.4

Step-by-step explanation: 387 divided by 161.25 equals 2.31 which means it would take 2.4 months to fully pay off her brother.


4 0
3 years ago
Read 2 more answers
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