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liq [111]
3 years ago
15

Could you help me with number 18

Mathematics
1 answer:
Travka [436]3 years ago
6 0
The better bargain is the 4 quarts 

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HELP Use either law of sines or law of cosine. Need help on this problem! show work please!​
Marina86 [1]

Answer: x = 15.035677095729 approximately

Round this however you need to.

=================================================

Explanation:

I'm assuming you want to find the value of x, which your diagram is showing to be the length of segment QR.

If so, then we'll need to find the measure of angle Q first. Using the law of sines, we get the following:

sin(Q)/q = sin(R)/r

sin(Q)/PR = sin(R)/PQ

sin(Q)/13 = sin(85)/19

sin(Q) = 13*sin(85)/19

sin(Q) = 0.6816068987

Q = arcsin(0.6816068987) ... or ... Q = 180-arcsin(0.6816068987)

Q = 42.9693397461 ... or ... Q = 137.0306602539

These values are approximate.

----------------

Now if Q = 42.9693397461 approximately, then angle P is

P = 180-Q-R

P = 180-42.9693397461-85

P = 52.0306602539

Similarly, if Q = 137.0306602539 approximately, then,

P = 180-Q-R

P = 180-137.0306602539-85

P = -42.0306602539

A negative angle is not possible, so we'll ignore Q = 137.0306602539

----------------

The only possible value of angle P is approximately P = 52.0306602539

Let's apply the law of sines again to find side p, aka segment QR

sin(P)/p = sin(R)/r

sin(P)/QR = sin(R)/PQ

sin(52.0306602539)/x = sin(85)/19

19*sin(52.0306602539) = x*sin(85)

19*sin(52.0306602539)/sin(85) = x

x = 15.035677095729

This value is approximate.

Round this value however you need to.

4 0
2 years ago
Read 2 more answers
The city has a section of land that is 3,694.7 feet long. The city wants to partition this lengths to form 10 equal-sized garden
Soloha48 [4]

Answer:

  369.47 ft

Step-by-step explanation:

Each plot is 1/10 of the total length, so has length ...

  (3694.7 ft)/10 = 369.47 ft

5 0
3 years ago
For the equation 3(2x − 5) = 6x + k, which value of k will create an equation with infinitely many solutions?
lana [24]

Answer: K = -14

Step-by-step explanation: solve for k by simplifying both sides of the equation then isolating the variable

5 0
3 years ago
Read 2 more answers
Ebert used to make $22 an hour, but got a 10% raise. How much more will he make in a 40 hour work week with the raise?
Helen [10]

Answer: $88.00 per week


Step-by-step explanation: 10% of 22 is 2.2.  22 + 2.2 = 24.20 per hour

Multiply 24.20x40hours = 968.00

Multiply 22.00x40 hours =880.00

Subtract 968-880=88.00 his new weekly pay minus his old weekly pay



3 0
2 years ago
Read 2 more answers
Evaluate <br> (-315) ×4<br> with the correct explaination
Naya [18.7K]

\Large\textsf{\textbf{Answer\::}}

-1, 260

\large\textsf{\textbf{Calculations\;:}}

First , take a look at the signs of the numbers we're asked to multiply .

One of them is negative , and the other one is positive .

If we have a negative number times a positive number , the product is a positive number .

Multiply :

(-315) × 4

-1, 260 (Ans)

\footnotesize\text{hope\:helpful~}

3 0
2 years ago
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