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emmasim [6.3K]
3 years ago
13

2 sin(\theta )+ 1 = 0

Mathematics
1 answer:
Verizon [17]3 years ago
3 0

Answer:


Step-by-step explanation:

\frac{7\pi }{6} ,\frac{11\pi }{6}

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Two riders, A and B leave the starting line at the same time. A takes 12 minutes to complete one lap and the B takes 18 minutes.
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6 minutes after i believ3e ?

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3 years ago
Evaluate the function at the given value. f(a) = a^3 + 5a^2 + 10a + 12 at a = -2​
djyliett [7]

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4

Step-by-step explanation:

6 0
3 years ago
A normal distribution has a mean of 4 and a standard deviation of 1. What percent of values are from 4 to 7?
Igoryamba

Answer:

49.865%

Step-by-step explanation:

Given that:

μ = 4 ; σ = 1

For x = 4

P(x < 4) :

Z score (x - μ) / σ

P(x < 7) - P(x < 4)

((7 - 4) / 1) - ((4 - 4) / 1)

P(Z < 3) - P(Z < 0)

Usibg the Z probability calculator :

0.99865 - 0.5

= 0.49865

= 0.49865 * 100

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6 0
2 years ago
1. Homer has an idea for a new donut shop. He wants to design the donut shop so that the rectangular
Tju [1.3M]

Solving a <em>system of equations</em>, it is found that since the <u>quadratic equation has two positive roots</u>, they can be the values of the length and the width, and the design is possible.

The perimeter of a <u>rectangle of length l and width w</u> is given by:

P = 2(l + w)

The area is:

A = lw

In this problem, perimeter of 63.5 m, hence:

2l + 2w = 63.5

2l = 63.5 - 2w

l = 31.75 - w

Area of 225 m², hence:

lw = 225

(31.75 - w)(w) = 225

w^2 - 31.75w + 225 = 0

Which is a quadratic equation with coefficients a = 1, b = -31.75, c = 225.

Then:

\Delta = b^2 - 4ac = (-31.75)^2 - 4(1)(225) = 108.0625

w_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{31.75 + \sqrt{108.0625}}{2} = 21.1

w_2 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{31.75 - \sqrt{108.0625}}{2} = 10.68

Since the <u>quadratic equation has two positive roots</u>, they can be the values of the length and the width, and the design is possible.

A similar problem is given at brainly.com/question/10489198

6 0
2 years ago
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