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Hitman42 [59]
3 years ago
6

Any help would be very appreciated ​

Mathematics
1 answer:
inna [77]3 years ago
7 0

Answer:

21

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp/ adj

tan 60 = x / 7 sqrt(3)

7 sqrt(3)  tan 60 = x

7 sqrt(3) sqrt(3) = x

7*3 = x

21 = x

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What is the value of x?<br><br> Please help! Thanks!
leonid [27]

Answer:

x=75

Step-by-step explanation:

We can use proportions to solve this problem.  Put the side of the small triangle over the side of the large triangle.

42           50

------ = ----------

42+63        50+x

42           50

------ = ----------

105          50+x

Using cross products

42(50+x) = 50*(105)

2100+42x = 5250

Subtract 2100 from each side

2100-2100+42x = 5250-2100

42x =3150

Divide by 42

42x/42 = 3150/42

x = 75


8 0
3 years ago
The ratio of the geometric mean and arithmetic mean of two numbers is 3:5, find the ratio of the smaller number to the larger nu
IgorC [24]

Answer:

\frac{1}{9}

Step-by-step explanation:

Let the numbers be x,y, where x>y

The geometric mean is

\sqrt{xy}

The Arithmetic mean is

\frac{x + y}{2}

The ratio of the geometric mean and arithmetic mean of two numbers is 3:5.

\frac{ \sqrt{xy} }{ \frac{x + y}{2} }  =  \frac{3}{5}

We can write the equation;

\sqrt{xy}  = 3

or

xy = 9 -  -  - (2)

l

and

\frac{x + y}{2}  = 5

or

x + y = 10 -  -  - (2)

Make y the subject in equation 2

y = 10 - x -  -  - (3)

Put equation 3 in 1

x(10 - x) = 9

10x -  {x}^{2}  = 9

{x}^{2}  - 10x + 9 = 0

(x - 9)(x - 1) = 0

x =1  \: or \: 9

When x=1, y=10-1=9

When x=9, y=10-9=1

Therefore x=9, and y=1

The ratio of the smaller number to the larger number is

\frac{1}{9}

3 0
3 years ago
Simplify <br> 2.5x+0.1x-0.01x=
Pavlova-9 [17]
PEMDAS
2.5x + 0.1x = 2.6x
2.6x - 0.01x = 2.59x
6 0
3 years ago
In a manufacturing process, for every 465 items assembled, 4 are defective. at this rate, if 5,115 items are assembled, how many
7nadin3 [17]
The expected number that will be defective is:
5115\times\frac{4}{465}=44\ items
5 0
3 years ago
Read 2 more answers
Use algebra tiles to model the expression and combine like terms. Complete the statements.
gulaghasi [49]

Answer:

The equivalent expression is 4x + 3

3 0
2 years ago
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