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Rudiy27
3 years ago
13

A publishing company has a weekly cost equation of C=96,000+20x and a weekly revenue equation of R=26​x, where x is the number o

f books produced and sold in a week. The company loses money when R

Mathematics
1 answer:
almond37 [142]3 years ago
8 0
Sent a picture of the solution to the problem (s).

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O, R and S are points in the same horizontal plane. /OR/ = 20m and /OS/= 32m.The bearing of R and S from O are 030° and 135° res
Viktor [21]
<h3>Answer:  roughly 12.6274 meters</h3>

The more accurate value is 12.6274169979696, though it's not fully exact.

Round this however you need to.

The exact distance 32*sin(45) - 10 meters.

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

Explanation:

Refer to the diagram below.

I'll use point A in place of point O since the letter 'oh' is very similar looking to the number zero.

Plot point A at the origin (0,0). While at point A, look directly north. Then turn 30 degrees eastward to look at the bearing 030°. Next, move 20 meters along that bearing direction to arrive at point R. Segment AR is 20 meters long.

In the diagram, note how angle RAB is 30 degrees. The side opposite this is BR = m.

We can use the sine ratio to say that

sin(angle) = opposite/hypotenuse

sin(A) = BR/AR

sin(30) = m/20

m = 20*sin(30)

m = 10

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

While still at point A, look directly north and turn 135 degrees clockwise (ie toward the east) and move 32 meters along that bearing. You'll arrive at point S as the diagram shows.

Notice how

angle RAB + angle RAC + angle CAS = 30+60+45 = 135

The remaining angle DAS is 180-135 = 45 degrees.

When focusing on triangle DAS, we can say

sin(A) = DS/AS

sin(45) = n/32

n = 32*sin(45)

n = 22.6274169979696

This value is approximate.

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

Subtract the values of m and n

n - m = 32*sin(45) - 10 = exact distance

n - m = 22.6274169979696 - 10

n - m = 12.6274169979696

n - m = 12.6274 = approximate distance

Round it however you need to. I'm choosing to round to four decimal places.

So we see that point S is roughly 12.6274 meters east of point R.

If your teacher wants the exact distance, then stick with 32*sin(45)-10.

8 0
3 years ago
Given cos A = .23 find angle A in radians. Round your answer to the nearest hundredth.
irinina [24]
Use a calculator and change DEG (degres) to RAD (radians).
8 0
3 years ago
The company makes a profit of 15% on every faucet sold. What is the profit on one shower faucet ?
Rama09 [41]

Answer:

Hi there!

Your answer is:

D: 18.00$

Step-by-step explanation:

First, we plug in all the numbers under the columns "Kitchen Sink", "Bathroom Sink" and "Shower" in our matrix calculator as A. Then, we plug in all the numbers under "Total Selling Price" in our matrix calc as B. Then, we perform the equation A^-1 * B. We will look to the 3rd row for this, since shower is our "z" and the third row represents z

Since profit is determined by .15 * 120, we calculate this. Your answer is 18.

Hope This Helps

<u>Edge Tested & Approved</u>

8 0
3 years ago
PLZ HELPPPPP!!!It is due soon if someone could help that would be greattt!
Ganezh [65]

Answer:

1. true

2. False

3. False

4. True

Step-by-step explanation:

5 0
3 years ago
Whats the missing length indicated?!? help!!
jeka94

Answer:

A) 27

Step-by-step explanation:

\frac{16}{16 + 12}  =  \frac{63 - ?}{63}

➡️ \frac{4}{7}  =  \frac{63-? }{63}

➡️ 63 - ? = 36

➡️ ? = 27

8 0
3 years ago
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