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4 years ago

Is it true or false for a, b and c?

Mathematics

2 answers:

Kamila [148]4 years ago

4 0

The answer is True c

mixer [17]4 years ago

3 0

Answers:

a) True
b) False
c) True

====================================================

Explanations:

a) y = sin(theta) describes the height of the point (x,y). Because m = sin(theta), this means m is the height.
b) Cosine is not positive in quadrants II and III, where x < 0. This is because x = cos(theta).
c) Adding pi radians to the angle theta will rotate it 180 degrees to have it land in the fourth quadrant (southeast quadrant).

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The area of a rectangular wall of a barn is 85 square feet. Its length is 12 feet longer than the width. Find the length and wid

MaRussiya [10]

Answer:

Length = 17 feet, Width = 5 feet

Step-by-step explanation:

Given:

The area of a rectangular wall of a barn is 85 square feet.

Its length is 12 feet longer than the width.

Question asked:

Find the length and width of the wall of the barn.

Solution:

Let width of a rectangular wall of a barn = $x$

<u>As length is 12 feet longer than the width.</u>

Length of a rectangular wall of a barn = $12+x$

As we know:

$Area\ of\ rectangle=length\times breadth$

$85=(12+x)x\\\\85=12x+x^{2} \\$

Subtracting both sides by 85

$x^{2} +12x-85=0\\x^{2} +17x-5x-85=0\\Taking\ common\\x+(x+17)-5x(x+17)=0\\(x+17)(x-5)=0\\x+17=0, x-5=0\\x=-17,x=5$

As width can never be in negative, hence width of a rectangular wall of a barn = $x$ = 5 feet

Length of a rectangular wall of a barn = $12+x=12+5=17\ feet$

Therefore, length and width of the wall of the barn is 17 feet and 5 feet respectively.

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4 years ago

What is the value of x?

Murrr4er [49]

Answer:

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Step-by-step explanation:

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A textbook store sold a combined total of 294 physics and psychology textbooks in a week. The number of psychology textbooks sol

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3 years ago

3/4 of the weight of a bunch of grapes is equivalent to 3/5 of the weight of a papaya. If the grapes way (X +28) pounds what is

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Let p = weight of papaya and g = weight of grapes.

Then (3/4)g = (3/5)p. Since the weight of grapes is x + 28,

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(5/3)(3/4)(x+28) = (5/3)(3/5)p

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3 years ago

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