MATHEMATICS HIGH SCHOOL

Given that cos 27° = 0.891, enter the sine of a complementary angle.
sin
Given that cos 27° = 0.891, enter the sine of - 1

Answers

Answer 1
Answer:

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Answer:

  sin(63°) = 0.891

Step-by-step explanation:

The cosine of an angle is the sine of its complement. The angle with a sine of 0.891 is 90° -27° = 63°.

   sin(63°) = 0.891

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The diameter of a quarter is about 2.4 centimeters. a. What is the circumference of a quarter ? (Use 3.14 for pie) b. What is the ratio of the radius of the quarter to the diameter of the quarter?

The first number in a multiplication problem is called the

Answers

Numbers in multiplication are called factors. In algebra, the first number is called coefficient (e.g. 2 in 2x). It is also called multiplier.

If sin α = 12/13 , and cosα = 5/13 , then tanα =?It would be great if you could add a few words of explanation

Answers

sin\alpha=(12)/(13)\n\ncos\alpha=(5)/(13)\n\ntan\alpha=(sin\alpha)/(cos\alpha)\n\ntan\alpha=(12)/(13):(5)/(13)=(12)/(13)\cdot(13)/(5)=(12)/(5)=2(2)/(5)=2.4
If you draw a right angles triangle you can fill in the values. So since sinx= opposite/hypotenuse then the hypotenuse of the triangle is 13. And the side opposite the angle a is 12. Since cosx= adjacent/ hypotenuse, the adjacent side is 5.
Tanx=opposite/adjacent and therefore tana= 12/5

Solve algebraically
x-4y=-10
x+y=5

Answers

Answer:

if x+y=5, then x=5-y

so x-4y=-10

5-y-4y=-10

5-5y=-10

-5y=-15

y=3

x=5-y

x=5-3

x=2

x=2; y=3

In this hanger, the weight of the triangle is x and the weight of the square is y. 1. Write an equation using x and y to represent the hanger. x + y = x + y 2. If x is 6, what is y?

Answers

Answer:

a. Equation is 3x - 2y = 0

b. x = 6 and y = 9

Step-by-step explanation:

a.

Given that

The Weight of the square is y

And, the weight of the triangle is x

Now the equation according to the attached diagram is

x + 3y = 4x + y

4x - x + 3y - y = 0

3x - 2y = 0

b.

Now if x  = 6

So, y would be

3x - 2y = 0

3x = 2y

3(6) = 2y

18 = 2y

y = 9

We simply applied the above equation so that the correct value could come

And, the same is to be considered

Final answer:

The equation x + y = x + y represents the hanger with the weights of the triangle and square. When x is 6, y can be any value.

Explanation:

The question asks for an equation to represent the hanger with the weights of the triangle and square. Since the weight of the triangle is represented by x and the weight of the square is represented by y, the equation can be written as x + y = x + y. This equation shows that the sum of the weights on each side of the hanger is equal.

To find the value of y when x is 6, we can substitute the value of x into the equation. x + y = 6 + y. By subtracting y from both sides, we get x = 6. Therefore, when x is 6, y can be any value since it cancels out from both sides of the equation.

Learn more about Equations here:

brainly.com/question/18577777

#SPJ11

Multiply (3x – 5y)(2x + 3y)

Answers

Answer:

6x² - xy - 15y²

Step-by-step explanation:

To multiply these two binomials together, we can use FOIL. FOIL stands for:

First: Multiply the first terms of the binomials together.

Outer: Multiply the first term of the first binomial by the second term of the second binomial.

Inner: Multiply the second term of the first binomial by the first term of the second binomial.

Last: Multiply the second (last) terms of the two binomials together.

(3x - 5y)(2x + 3y) = (3x)(2x) + (3x)(3y) + (-5y)(2x) + (-5y)(3y)

= 6x² + 9xy - 10xy - 15y²

= 6x² - xy - 15y²

I hope you find my answer helpful.

Need some help doing this question, thanks!

Answers

Answer:

y = -5x + 6

Step-by-step explanation:

y = 1/5 x + 4/5

so that two lines are perpendicular, its slope must be opposite and reciprocal

y = m x + b

m: slope           perpendicular  -1/m

if our formula is     y = 1/5 x + 4/5

m = 1/5

so the slope of our new formula will be

m' = -5/1

m' = -5

now if you tell us that you have to go through a certain point  (1/1)

we just have to replace the values ​​in the following formula and solve

y - y1 = m ( x - x1)

y - 1 = -5 ( x - 1)

y = -5x + 5 + 1

y = -5x + 6
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