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DochEvi [55]
3 years ago
7

❤️❤️help please ASAP ❤️❤️

Mathematics
1 answer:
iris [78.8K]3 years ago
5 0
You need the Law of Cosines here, since you only have 1 angle measure.  If you had 2 you could use the Law of Sines, but nevertheless, we'll get there.  The Law of Cosines for our particular set of info looks like this: x^2=65^2+41^2-2(65)(41)cos(35).  Simplifying a bit we get x^2=4225+1681-4366.080396 and x^2=1539.9196.  Taking the square root of that and considering the principle root only, x = 39.2, second choice down.
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A person is installing a fence around a square-shaped garden. The cost of fencing is ₹1200. If the unit cost of installation is
gladu [14]

Answer:

the length of one side is 120

Step-by-step explanation:

let the length = x

we need to form an equation to find the side...

since its 10 per metre

10x = 1200

x = 1200/10

x=120

hope it helped !

4 0
3 years ago
Directions - For the following problem, write a paragraph proof to justify each step you make. All work must be neat,
nlexa [21]

$ PS = \frac{4}{3} x

Solution:

Given PRQ is a triangle.

ST is a line parallel to RQ.

$PT = x, \ PQ = 3x,  \ SR=\frac{8}{3}x

TQ=PQ-PT

TQ=3x -x=2x

<u>Triangle proportionality theorem,</u>

<em>If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.</em>

$\frac{PS}{SR} =\frac{PT}{TQ}

$\frac{PS}{\frac{8}{3} x} =\frac{x}{2x}

Do cross multiplication, we get

$ PS \times 2x=x \times \frac{8}{3} x

Divide by 2x on both sides, we get

$ PS = \frac{4}{3} x

4 0
3 years ago
LORAN is a long range hyperbolic navigation system. Suppose two LORAN transmitters are located at the coordinates (−60,0) and (6
USPshnik [31]

LORAN follows an hyperbolic path.

The equation of the hyperbola is: \mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}

The coordinates are given as:

\mathbf{(x,y) = (-60,0)\ (60,0)}

The center of the hyperbola  is  

\mathbf{(h,k) = (0,0)}

The distance from the center to the focal points is given as:

\mathbf{c = 60}

Square both sides

\mathbf{c^2 = 3600}

The distance from the receiver to the transmitters  is given as:

\mathbf{2a = 100}

Divide both sides by 2

\mathbf{a = 50}

Square both sides

\mathbf{a^2 = 2500}

We have:

\mathbf{b^2 = c^2 - a^2}

This gives

\mathbf{b^2 = 3600 - 2500}

\mathbf{b^2 = 1100}  

The equation of an hyperbola is:

\mathbf{\frac{(x - h)^2}{a^2} + \frac{(y - k)^2}{b^2} = 1}

So, we have:

\mathbf{\frac{(x - 0)^2}{2500} + \frac{(y - 0)^2}{1100} = 1}

\mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}

Hence, the equation of the hyperbola is: \mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}

Read more about hyperbolas at:

brainly.com/question/15697124

7 0
3 years ago
Read 2 more answers
Determine the values of the parameter s for which the system has a unique​ solution, and describe the solution. sx 1 minus 2 sx
JulijaS [17]

Note: The equations written in this questions are not appropriately expressed, however, i will work with hypothetical equations that will enable you to solve any problems of this kind.

Answer:

For the system of equations to be unique, s can take all values except 2 and -2

Step-by-step explanation:

2sx_{1} + 4x_{2} = -3\\2x_{1} + sx_{2} = 4

\left[\begin{array}{ccc}2s&4\\2&s\end{array}\right] \left[\begin{array}{ccc}x_{1} \\x_{2} \end{array}\right] = \left[\begin{array}{ccc}-3 \\6 \end{array}\right]

For the system to have a unique solution, \begin{vmatrix} 2s & 4 \\ 2 & s \end{vmatrix} \neq 0

2s^{2} -8 \neq 0\\2s^{2}\neq 8\\s^{2}\neq 4\\s \neq 2 or -2

6 0
4 years ago
At the beginning of the year, Adrian's savings account balance was $28. Each week, he deposits another $15 into that account, an
Dovator [93]

Answer:

Yes

Step-by-step explanation:

Let's consider what Adrian does for a few weeks, that is, we will make a table where we can see the behavior of the savings with respect to the weeks that pass:

time (week)   savings ($)

       0               28

       1                43

       2               58

       3               73

       4               88

       5              103

and if we continue doing we see that it has a similar behavior, and the equation would be:

s = 15 * m + 28

where s are the savings and m the number of months, which means that 15 is that constant of proportionality and therefore they are proportional.

8 0
4 years ago
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