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kirill [66]
3 years ago
10

In a right triangle, sin(40 - 2) = cos(32)'. What is the value of x?

Mathematics
1 answer:
o-na [289]3 years ago
5 0

Answer:

x = 25

Step-by-step explanation:

Correct question

In a right triangle Sin (40-x)=cos(3x) what is the value of x

Since Sin theta = Cos(90-theta)

Sin (40-x) = Sin(90-3x)

40 - x = 90 - 3x

-x+3x = 90 - 40

2x = 50

x = 25

Hence the value of x is 25

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If a = -35, b = 10 cm and c = -5, verify that:
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Step-by-step explanation:

(i). a+(b+c) = (a+b)+c

-35+(10-5) = (-35+10)+(-5)

-35+5 = -25-5

-30 = -30

(ii). a×(b+c) = a×b + a×c

-35 × [10+(-5)] = -35×10 + -35×-5

-35 × (10-5) = -350 + 175

-35 × 5 = -350 + 175

-175 = -175

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What is the meaning of panchtantra???​
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Answer:

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7 0
2 years ago
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Find the equation of the line passing through the points (0,1) and (-2,0). write the equation in slope-intercept form.
Misha Larkins [42]

First of all, you have to calculate slope of that,

m = (y2-y1)/(x2-x1) = (1-0)/(0+2) = 1/2

now, equation would be y-y1 = m(x-x1)

y-1 = 1/2(x-0)

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3 years ago
Simplify 4x^2 / 3 X 6/ 8x
Leokris [45]

Answer:

x

Step-by-step explanation:

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3 0
2 years ago
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Suppose that the populations of the United States and China both increase by 12 million people in one year. What would be the re
Jlenok [28]

Question:

Suppose that the populations of the United States and China both increase by 12 million people in one year. What would be the relative change for each country? Answer to the nearest tenth of a percent (1 decimal place). Make sure that you fill in each answer area before checking "How Did I Do?".

If you assume that the U.S. population is about 300 million, an increase of 12 million would result in a relative change of Number %.

If you assume that China has about 1 billion people, an increase of 12 million would result in a relative change of Number %.

Answer:

The relative change of the United States and China is 4% and 1.2%, respectively.

Step-by-step explanation:

Given

Represent population with p. So, we have:

United States

\triangle p = 12\ million

p_1 =300\ million

China

\triangle p = 12\ million

p_1 =1\ billion

Required

Determine the relative change for each country

Relative change, C is calculated as:

C = \frac{\triangle p}{p} * 100\%

For United States

C = \frac{12\ million}{300\ million} * 100\%

C = \frac{12}{300} * 100\%

C = \frac{12 * 100}{300}\%

C = \frac{1200}{300}\%

C = 4\%

For China

C = \frac{12\ million}{1\ billion} * 100\%

C = \frac{12}{1000} * 100\%

C = \frac{12* 100}{1000} \%

C = \frac{1200}{1000} \%

C = 1.2\%

The relative change of the United States and China is 4% and 1.2%, respectively.

3 0
2 years ago
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