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Marianna [84]
3 years ago
8

Y = sec θ tan θ differentiate

Mathematics
1 answer:
nikdorinn [45]3 years ago
8 0
Y = sec(θ) tan(θ).
 Solution:
 We use here the product rule that  is 
 (fg) 0 = f 0 g + fg0 .
 So
 y 0 = (sec(θ) tan(θ)) tan(θ) + sec(θ) tan2 (θ)
       = sec(θ)(tan2 (θ) + sec2 (θ)).
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The difference between Sally’s PE mark and Science mark is 12, and the sum of the marks is 154. If the PE mark is the higher mar
Vesna [10]

Answer:

PE = 83 and Science = 71

Step-by-step explanation:

let P represent PE and S represent Science with P > S, then

P + S = 154 → (1)

P - S = 12 → (2)

Adding the 2 equations term by term eliminates S

2P = 166 ( divide both sides by 2 )

P = 83

Substitute P = 83 into (1)

83 + S = 154 ( subtract 83 from both sides )

S = 71

Hence PE mark = 83 and Science mark = 71

7 0
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50percent

Step-by-step explanation:

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Is m=8 a solution to this equation? (m + 3m) ÷ 4 = 8
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8 0
3 years ago
You are playing a game of Scrabble and have the 5 A tiles, 3 E tiles, 1 Z tile, 2 M tiles, 3 L tiles, and 1 Y tile to choose fro
Mekhanik [1.2K]
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7 0
3 years ago
A large metal pipe has a radius of 5 feet and a height of 15 feet. Find the volume of
egoroff_w [7]

Answer:

10,603 cu in

Step-by-step explanation:

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Therefore,

radius = 1 inch ÷ 17 = 5 inch

length = 15 × 5 inches = 75 inches

volume = π (pi) × radius squared × length

volume = 15× (.5 x .5) × 75

volume = 15 × 5 × 2

volume = 10,603 in³

The volume of fluid in a pipe can be found given the inner diameter of the pipe and the length. To estimate pipe volume, use the following formula:

volume = π ×  

d2

4

× h

Thus, the volume of a pipe is equal to pi times the pipe diameter d squared over 4, times the length of the pipe h.

This formula is derived from the cylinder volume formula, which can also be used if you know the radius of the pipe.

volume = π × r2 × h

7 0
3 years ago
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