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3 years ago

The sine of 37° is equal to the cosine of what angle? Enter your answer in the box.

Mathematics

2 answers:

erica [24]3 years ago

8 0

Sin 37 = 0.60182

Cosine 53 = 0.60182

OLEGan [10]3 years ago

8 0

Answer:

cosine of 53° = sin 37°

Step-by-step explanation:

In a right angle triangle we have to find the cosine of angle if value of sin 37° is equal to the cosine of that angle.

In a right angle triangle ABC, if sin B = sin 37° = $\frac{Height}{Hypotenuse}=\frac{AB}{AC}$

Or we can say cos B = cos 53° = $=\frac{Base}{Hypotenuse}=\frac{AB}{AC}$

Therefore cosine of 54° will be equal to sine of 37°

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What is the solution of the system of equations?

umka21 [38]

No solution of the system of equations y = -2x + 5 and -5y = 10x + 20 ⇒ 2nd answer

Step-by-step explanation:

Let us revise the types of solutions of a system of linear equations

One solution
No solution when the coefficients of x and y in the two equations are equal and the numerical terms are different
Infinitely many solutions when the coefficients of x , y and the numerical terms are equal in the two equations

∵ y = -2x + 5

- Add 2x to both sides

∴ 2x + y = 5 ⇒ (1)

∵ -5y = 10x + 20

- Subtract 10x from both sides

∴ -10x - 5y = 20

- Divide both sides by -5

∴ 2x + y = -4 ⇒ (2)

∵ The coefficient of x in equation (1) is 2

∵ The coefficient of x in equation (2) is 2

∴ The coefficients of x in the two equations are equal

∵ The coefficient of y in equation (1) is 1

∵ The coefficient of y in equation (2) is 1

∴ The coefficients of y in the two equations are equal

∵ The numerical term in equation (1) is 5

∵ The numerical term in equation (2) is -4

∴ The numerical terms are different

From the 2nd rule above

∴ No solution of the system of equations

No solution of the system of equations y = -2x + 5 and -5y = 10x + 20

Learn more:

You can learn more about the system of equations in brainly.com/question/6075514

#LearnwithBrainly

7 0

4 years ago

A polynomial equation with rational coefficients has:

Arada [10]

Answer:

Every polynomial with rational coefficients has the same roots as one with integer coefficients; just multiply through by the common denominator. The complex roots of such polynomials come as conjugate pairs.

8 0

2 years ago

2) Line segment MK has endpoints at (2, 3) and (5, ?4). Segment M'K' is the reflection of MK over the y-axis. Which statement de

Marianna [84]

Answer:

Option C -M'K' is the same length as MK

Step-by-step explanation:

Given : Line segment MK has endpoints at (2, 3) and (5,4)

M'K' is the reflection of MK over the y-axis

By definition of reflection: reflection of point (x,y) across the the y-axis is the point (-x,y)

which implies M'K' has end points (-2,3) and (-5,4)

Now, we find the length of MK

let $(x_1,y_1)=(2,3)\\\\(x_2,y_2)=(5,4)$

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

⇒ $d=\sqrt{(2-5)^2+(4-3)^2}$

⇒ $d=\sqrt{9+1}$

⇒ $d=\sqrt{10}$ ....(1)

Now, we find the length of M'K'

let $(x_1^{'},y_1^{'})=(-2,3)\\\\(x_2^{'},y_2^{'})=(-5,4)$

$d^{'}=\sqrt{(x_2^{'}-x_1^{'})^2+(y_2^{'}-y_1^{'})^2}$

⇒ $d^{'}=\sqrt{(-2+5)^2+(3-4)^2}$

⇒ $d^{'}=\sqrt{9+1}$

⇒ $d^{'}=\sqrt{10}$ .....(2)

from (1) and (2) we simply show that the length of MK and M'K' is equal

we can also refer the figure attached for reflection of MK and M'K'

therefore, Option C is correct

3 0

4 years ago

Read 2 more answers

A box of 12 tacos cost $9.99 at this rate how much does one taco cost?

olga_2 [115]

Each taco costs $.83

6 0

4 years ago

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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Simplify the expres

Alina [70]

=-32x+20+33x+26
=x+46
The answer is x+46. This question can be answered by the distributive property and remembering the positive and negative multiplication rules.

7 0

3 years ago