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exis [7]
3 years ago
11

The landscaper pours 200 gallons of herbicide in a pond. The herbicide degrades 10% each week. The landscaper will put another d

ose in the pond when thr herbicide level drops below 50 gallons. In about how many weeks will he need to add more herbicide?
Mathematics
1 answer:
wel3 years ago
5 0
8weeks
10% of 200 is 20if you subtract 20 from 200 then you have to do it 8 times to get below 50
#1) 200-20=180
#2) 180-20=160
#3) 160-20=140
#4) 140-20=120
#5) 120-20=100
#6) 100-20=80
#7) 80-20=60
#8) 60-20=40



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Elina [12.6K]
Idk but it can't be 10 or 9.7 bc a triangle's hypotenuse is always longer than its legs
5 0
3 years ago
The bearing of Q from P is 150
Lynna [10]

Answer:

(i) see first attached diagram

(ii) QR = 22.67 km (2 dp)

(iii) 243°

Step-by-step explanation:

A bearing is the angle in degrees measured clockwise from north.

<u />

<u>Part (i)</u>

see first attached diagram

<u>Part (ii)</u>

The angles marked in blue on the second attached diagram are Consecutive Interior Angles.  In this case they add to 180° as the North lines are parallel.

The sum of angles around a point is 360°

⇒ m∠QPR (shown in red on the second attached diagram) = 360 - 150 - (180 - 15) = 45°        

To calculate the distance between Q and R (marked in red on the attached diagram), use the cosine rule.

⇒ QR² = PR² + QP² - 2(PR)(QP)cos(QPR)

⇒ QR² = 32² + 24² - 2(32)(24)cos(45)

⇒ QR² = 513.8839841...

⇒ QR = √513.8839841...

⇒ QR = 22.67 km (2 dp)

<u>Part (iii)</u>

We need to find the angle marked in green on the third attached diagram.

To do this, we need to find the angle marked in pink and the angle marked in orange, then subtract them from 360°

Pink angle = 180 - 150 = 30° (using the same consecutive angle theorem as before)

Orange angle (o) using the sine rule:

⇒ sin(o)/32 = sin(45)/QR

⇒ sin(o) = 32sin(45)/22.67

⇒ sin(o) = 0.9981652337...

⇒ o = 86.52868176...°

Therefore, the green angle = 360 - 30 - 86.52868176... = 243° (nearest degree)

8 0
2 years ago
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Answer:

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Step-by-step explanation:

just answered this for someone else!

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4 years ago
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step two- take 3 from the 16 and add it to the 27 and add - 27+3+13=43
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3 years ago
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Find the area of the polygon with the given vertices x(2,4) y(0,-2) z(2,-2)
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Answer:

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