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Whitepunk [10]
3 years ago
8

Tan(x)+tan(y)=sin(x+y)/cos(x)cos(y)

Mathematics
1 answer:
marusya05 [52]3 years ago
4 0
tan(x) + tan(y) = \frac{sin(x + y)}{cos(x)cos(y)}
\frac{sin(x)}{cos(x)} + \frac{sin(y)}{cos(y)} = \frac{sin(x + y)}{cos(x)cos(y)}
\frac{sin(x)cos(y)}{cos(x)cos(y)} + \frac{sin(y)cos(x)}{cos(x)cos(y)} = \frac{sin(x + y)}{cos(x)cos(y)}
\frac{sin(x)cos(y) + sin(y)cos(x)}{cos(x)cos(y)} = \frac{sin(x + y)}{cos(x)cos(y)}
\frac{sin(x + y)}{cos(x)cos(y)} = \frac{sin(x + y)}{cos(x)cos(y)}
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At 1:00 pm the water level in a pool is 13 inches. At 1:30pm the water level is 18 inches. At 2:30pm the water level is 28 inche
SashulF [63]
From the given question we come to know of certain number of facts and they are:
At 1:00 PM the water level of the pond was = 13 inches
At 1:30 PM the water level of the pond was = 18 inches
At 2:30 PM the water level of the pond was = 28 inches
From the above given facts we can easily find the amount of water changing every half an hour.
Amount of increase in water from 1:00PM to 1:30 PM = (18 - 13) inches
                                                                                       = 5 inches
Amount of increase in water level from 1:30PM to 2:30PM = (28 -18) inches
                                                                                             = 10 inches
From the above two deductions we can come to the conclusion the the constant rate of change in water level is 5 inches for every half an hour.
4 0
3 years ago
Read 2 more answers
The length of a rectangle is (5x − 1) cm and the width is (11 − 2x) cm. If the perimeter of the rectangle is 44 centimeters, wha
daser333 [38]

Answer:

57 cm²

Step-by-step explanation

<em>l = length</em>

<em>w = width</em>

<em>p = perimeter</em>

<em />

<em>(5x - 1) = length</em>

<em>(11 - 2x) = width</em>

<em>44 = perimeter</em>

<em />

<em>Formula for the perimeter of a rectangle:</em>

<em>l + l + w + w</em>

<em>2l + 2w = p</em>

<em />

<em>Substitute the variables for the length and width with the values given to you by the problem, then solve.</em>

<em></em>

<em>2(5x - 1) + 2(11 - 2x) = 44</em>

<em>(10x - 2) + (22 - 4x) = 44 (Distributive property)</em>

6x + 20 = 44

6x = 24

x = 4

<em>Plug x = 4 back into the length and width.</em>

Length = (5x - 1), (5(4) - 1), (19)

Width =  (11 - 2x), (11 - 2(4)), (3)

<em>Area for a rectangle: Length × Width = Area.</em>

<em>19 × 3 = 57 cm²</em>

<em>This is all in cm so answer with cm²</em>

5 0
3 years ago
2 qurstions 100 points
Roman55 [17]

Answer:

1). 1.25 / 250 = .005M

.005 = 1 liter

2). (20)(.5) = 10M

have a good day, and be safe

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⊕ΘΞΠΤ⊕

∵∴∵∴∵∴∵∴∵

6 0
3 years ago
A paper clip is dropped from the top of a 144‐ft tower, with an initial velocity of 16 ft/sec. Its position function is s(t) = −
BabaBlast [244]
\bf s(t)=-16t^2+144\implies \stackrel{velocity}{\cfrac{ds}{dt}}=-32t

when does it hit the ground?  check the picture below.

\bf 0=-16t^2+144\implies 16t^2=144\implies t^2=\cfrac{144}{16}\implies t^2=9&#10;\\\\\\&#10;t=\sqrt{9}\implies t=3

at that moment, the velocity is -32(3).

7 0
3 years ago
A = 1/3, b = 9, c = 5, and d = 10.<br><br> 12a + c - b
emmasim [6.3K]

Answer:

The equation equals <em>0</em>

Step-by-step explanation:

<u>12 ( 1/3 )</u> + 5 - 9

<u>4 + 5</u> - 9

<u>9 - 9</u>

= 0

5 0
2 years ago
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