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Nata [24]
2 years ago
13

Corsica fills a bucket with water at a constant rate. The equation below represents a proportional relationship between the ounc

es of the water in the bucket (W) and the time it takes to fill the bucket in seconds (S).
3W = 32S
How many ounces of water were added to the bucket per second.
Mathematics
2 answers:
alex41 [277]2 years ago
7 0

Answer:3/32ounces

Step-by-step explanation:

alexandr1967 [171]2 years ago
6 0

Answer:

Step-by-step explanation:

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Plz help me with 13-16
svetlana [45]

Answer:

13) x = 10

14) x = 22

15) x = 12

16) x = -15

Step-by-step explanation:

13) 4x+5x=9x;90/9=10

14) 45-1=44;44/2=22

15) 37-1=36;36/3=12

16) -54+26=-28;x-28=3x+2;x=-15

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What is the slope of this line A -1/2 B 1/2 C 2​
denpristay [2]
-1/2 is your answer to this question
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Find the exact value by using a half-angle identity. sin(5pi/12)
anzhelika [568]

Find <span>tan<span>(<span><span>5π</span>12</span>)</span></span> and sin ((5pi)/12)
Answer: <span>±<span>(2±<span>√3</span>)</span>and±<span><span>√<span>2+<span>√3</span></span></span>2</span></span>

Explanation:

Call tan ((5pi/12) = t. 
Use trig identity: <span><span>tan2</span>a=<span><span>2<span>tana</span></span><span>1−<span><span>tan2</span>a</span></span></span></span>
<span><span>tan<span>(<span><span>10π</span>12</span>)</span></span>=<span>tan<span>(<span><span>5π</span>6</span>)</span></span>=−<span>1<span>√3</span></span>=<span><span>2t</span><span>1−<span>t2</span></span></span></span>
<span><span>t2</span>−2<span>√3</span>t−1=0</span>

<span>D=<span>d2</span>=<span>b2</span>−4ac=12+4=16</span>--> <span>d=±4</span>

<span>t=<span>tan<span>(<span><span>5π</span>12</span>)</span></span>=<span><span>2<span>√3</span></span>2</span>±<span>42</span>=2±<span>√3</span></span>

Call <span><span>sin<span>(<span><span>5π</span>12</span>)</span></span>=<span>siny</span></span>
Use trig identity: <span><span>cos2</span>a=1−2<span><span>sin2</span>a</span></span>
<span><span>cos<span>(<span><span>10π</span>12</span>)</span></span>=<span>cos<span>(<span><span>5π</span>6</span>)</span></span>=<span><span>−<span>√3</span></span>2</span>=1−2<span><span>sin2</span>y</span></span>
<span><span><span>sin2</span>y</span>=<span><span>2+<span>√3</span></span>4</span></span>
<span><span>siny</span>=<span>sin<span>(<span><span>5π</span>12</span>)</span></span>=±<span><span><span>√<span>2+<span>√3</span></span></span>2</span></span></span>

5 0
3 years ago
Given the following, what is the probability of choosing an purple marble and flipping tails?
MrMuchimi
Your answer is correct!! 2/3
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3 years ago
mark's soup recipe makes 6 servings and uses 4 carrots and 2 potatoes. How many carrots and potatoes does he need for 15 serving
VLD [36.1K]
Let’s see, for 6 servings he needed 4 carrots, meaning every carrot was equal to 1.5 servings. 15/1.5 is 10, 10 carrots for 15 servings.
7 0
2 years ago
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