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Aleonysh [2.5K]
3 years ago
12

Find the measure of angle b.

Mathematics
1 answer:
mihalych1998 [28]3 years ago
4 0

ok so you are given 61degrees and you want to find b you can ignore that weird line on the top left because its not needed but

you can see that 61degrees is next to b and they are on a strait line so that means that they have to equal to 180

so 61 + b = 180

b = 119

so b should equal 119

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Margarita [4]

9514 1404 393

Answer:

  D) x = 2π∕3 and x = –2π∕3

Step-by-step explanation:

The tangent function has asymptotes at ±π/2, so the corresponding values of x are ...

  (3/4)x = ±π/2

  x = (±π/2)(4/3) = ±2π/3 . . . . matches choice D

8 0
3 years ago
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A rectangular field is nine times as long as it is wide. If the perimeter of the field is 1700 feet, what
Leokris [45]

Answer:

I. L = 10.35 feet

II. W = 93.15 feet.

Step-by-step explanation:

Let the length of the rectangle be L.

Let the width of the rectangle be W.

Given the following data;

Perimeter of rectangular field = 1700 feet

Translating the word problem into an algebraic expression, we have;

W = 9L

Mathematically, the formula for the perimeter of a rectangle is;

P = 2(L + W)

A. To write an equation;

X = P = 2(L + W)

B. To find the dimensions of the field;

207 = 2(L + 9L)

207 = 2L + 18L

207 = 20L

L = 207/20

L = 10.35 feet

To find the weight;

W = 9L

W = 9 * 10.35

W = 93.15 feet.

Therefore, the width of the field is

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10.35 feet.

6 0
3 years ago
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Amiraneli [1.4K]

Given:

The given equation is

2x^3-3x^2+18x-27=0

To find:

All the real solutions.

Solution:

We have,

2x^3-3x^2+18x-27=0

It can be written as

x^2(2x-3)+9(2x-3)=0

(2x-3)(x^2+9)=0

Using zero product property, we get

(2x-3)=0 and (x^2+9)=0

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We know that x=\pm\sqrt{-9} is an imaginary number because there is a negative sign under the square root.

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