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3 years ago

Find sin, cos, and tan for the given point (-4,5).

Mathematics

1 answer:

grandymaker [24]3 years ago

7 0

Step-by-step explanation:

x^2 + y^2 = r^2 --> r = $\sqrt{(-4)^2 + 5^2}$ = $\sqrt{41}$

cos = x /r = -4 / $\sqrt{41}$

sin = y /r = 5/ $\sqrt{41}$

tan = sin /cos = -5 /4

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Which pair of expressions is equivalent? ОА. A. 4x – 12 and 3(x – 3) B. 2(x + 3) + 1 and 2x + 6 C. 11x – 4 + 2x and 13x – 4 D. X

Blababa [14]

Answer:

$11x - 4 + 2x$ and $13x - 4$

Step-by-step explanation:

Given

Options A to D

Required

Determine the equivalent pair

To do this, we solve each options one after the other.

$(a):\$

$4x - 12$ and $3(x - 3)$

Open bracket

$4x - 12$ and $3 * x - 3 * 3$

$4x - 12$ and $3x - 9$

The above pairs are not equivalent

$(b):\$

$2(x + 3) + 1$ and $2x + 6$

Open bracket

$2x + 2*3 + 1$ and $2x + 6$

$2x + 6 + 1$ and $2x + 6$

$2x + 7$ and $2x + 6$

The above pairs are not equivalent

$(c):$

$11x - 4 + 2x$ and $13x - 4$

Collect Like Terms

$11x + 2x - 4$ and $13 - x$

$13x - 4$ and $13 - x$

The above pairs are equivalent

5 0

3 years ago

Ava is 4 years younger than Eli. The sum of their ages is 30. How old is Eli?

Damm [24]

Eli is 17 years old because 17-4=13
and 17+13=30

5 0

3 years ago

Alan needs to manufacture a circular metal plate with a perimeter of `10pi` centimeters. If the allowed error tolerance in the p

AnnZ [28]

The ideal radius Alan must control is $\frac{1}{2\pi }$ cm.

<h3>Define perimeter of circle.</h3>

The measurement of the circle's perimeter, also known as its circumference, is called the circle's boundary. The area of a circle determines the space it takes up. A circle's diameter is equal to the length of a straight line traced through its center. Usually, it is stated in terms of units like cm or m.

Given data -

Perimeter of circular plate = 10 $\pi$ cm

We know that perimeter of a circle is 2 $\pi$ r

Therefore 10 $\pi$ = 2 $\pi$ r

r = 5 cm

The given error Alan can make is +-1 cm.

Minimum radius is given by

2 $\pi$ r = 10 $\pi$ - 1

r = $\frac{10\pi - 1 }{2\pi }$

r = 5 - $\frac{1}{2\pi }$

Maximum radius is given by

2 $\pi$ r = 10 $\pi$ + 1

r = $\frac{10\pi + 1 }{2\pi }$

r = 5 + $\frac{1}{2\pi }$

The ideal radius Alan must control is $\frac{1}{2\pi }$ cm.

To know more about perimeter of circle, visit:

brainly.com/question/2718232

#SPJ1

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1 year ago

Mr. Kramer has 30 pencils for his class. There are 22 students in his class and he would like

saw5 [17]

Answer:

Step-by-step explanation:

Mr. Kramer has pencils for his class = 30

Students in his class = 22

Pencils he would like to give each student = 2

How many more pencils does Mr. Kramer need to buy so that each student will receive 2 pencils = ?

Total pencils Mr. Kramer need to buy so that each student will receive 2 pencils = 22 × 2

= 44

= 44 - 30

= 6

Mr. Kramer need to buy 6 more pencils so that each student will receive 2 pencils

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3 years ago

A rate in which the first quantity is compared to 1 unit of the second quantity

Ivan

Answer:

it will compare unit to some quanlity to a different number of units of a different queality.

Step-by-step explanation:

a/b=c/d proportions are two fractions that are equal example: 1/2=2/4

7 0

3 years ago