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zhuklara [117]
3 years ago
6

Find the angle vector (9,7) makes with the x axis​

Mathematics
1 answer:
Anni [7]3 years ago
5 0

Answer:

≈ 37.9°

Step-by-step explanation:

Using the tangent ratio

tanΘ = \frac{y}{x}  where (x, y ) = (9, 7 )

tanΘ = \frac{7}{9} , thus

Θ = tan^{-1} (\frac{7}{9} ) ≈ 37.9° ( to the nearest tenth )

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When you go swimming the pressure in your ears varies directly with the depth at which you swim. At 10 feet, the pressure is abo
Serjik [45]

Answer:

(a) p = 0.43d

(b) p = 21.5

(c) d = 151.163

Step-by-step explanation:

Given

Variation: Direct

Represent ear pressure with p and depth with d.

So, we have:

p\ \alpha\ d

d =10 when p =4.3

Solving (a): Write a variation

We have:

p\ \alpha\ d

Write as an equation

p = kd

Where: k is the constant of variation

d =10 when p =4.3

So, we have:

4.3 = k * 10

Make k the subject

k = \frac{4.3}{10}

k = 0.43

Substitute 0.43 for k in p = kd

p = 0.43d

Solving (b): Pressure at 50 feet

Substitute 50 for d in p = 0.43d

p = 0.43 * 50

p = 21.5

The pressure is 21.5 pounds per square

Solving (c): The safe depth

The safe depth stops at a pressure of 65psi.

Substitute 65 for p in p = 0.43d

65 = 0.43 * d

Make d the subject

d = \frac{65}{0.43}

d = 151.162790698

d = 151.163 -- approximated

<em>The safe distance for an amateur is 151.163ft</em>

8 0
3 years ago
What is the solution to the equation?
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4 years ago
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Step-by-step explanation:

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