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3 years ago

❤️❤️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