MATHEMATICS HIGH SCHOOL

If x - 11 = 20, then x = ?

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

x-11=20

X=20+11

therefore X =31

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Find the exact value of cos(135) and sin(135).

Answers

To find the exact value of cos(135), you need the following formula: cos(a+b) = cos a • cos b - sin a • sin b So in this case, it would be: cos (135) = cos ( 45 + 90) = cos 45 • cos 90 - sin 45 • sin 90 = √(2)/2 · 0 - √(2)/2 · 1 = 0 - (√2)/2 = - (√2)/2.

To find the exact value of sin(135), you need the following formula: sin (a+b) = sin a • cos b - cos a + sin b So in this case, it would be sin (135) = sin (90 + 45) = sin 90 • cos 45 + cos 90 • sin 45 = (1 ·(√2)/2) + (0 · (√2)/2) = (√2)/2).

cos (135)= - (√2)/2

sin (135) = (√2)/2

Final answer:

To find the exact value of cos(135) and sin(135), use the unit circle and refer to the special angles. Cos(135) is equal to -1/sqrt(2) or approximately -0.7071, while sin(135) is equal to 1/sqrt(2) or approximately 0.7071.

Explanation:

The cosine function and sine function are both trigonometric functions that are commonly used in mathematics. The cosine function gives us the ratio of the adjacent side to the hypotenuse in a right triangle, while the sine function gives us the ratio of the opposite side to the hypotenuse. To find the exact value of cos(135) and sin(135), we need to use the unit circle and refer to the special angles.

For cos(135), we can determine that 135 degrees lies in the second quadrant of the unit circle. The reference angle for 135 degrees is 45 degrees. Since 45 degrees is a special angle, we know that cos(45) = 1/sqrt(2) or approximately 0.7071. Since cos is negative in the second quadrant, cos(135) = -1/sqrt(2) or approximately -0.7071.

For sin(135), the same process applies. The reference angle for 135 degrees is 45 degrees, and sin(45) = 1/sqrt(2) or approximately 0.7071. Since sin is positive in the second quadrant, sin(135) = 1/sqrt(2) or approximately 0.7071.

Learn more about Trigonometric functions here:

brainly.com/question/31540769

HELP FAST PLEASE What is the value of the function at X=-3?
O y = 4
O y = 0
O y = 3
0y=-3

Answers

Answer:

To determine the value of the function at x = -3, we need to substitute -3 into the given function and evaluate it. Let's go through each option one by one:

1. y = 4: If this is the function, then substituting x = -3 would give us y = 4. However, this option does not match the given function.

2. y = 0: Substituting x = -3 into this function would give us y = 0. However, this option does not match the given function either.

3. y = 30: Substituting x = -3 into this function would give us y = 30. However, this option does not match the given function.

4. y = -3: Substituting x = -3 into this function would give us y = -3. This option matches the given function, so the value of the function at x = -3 is indeed y = -3.

Therefore, the correct answer is:

y = -3

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A park is shaped like a trapezoid. It has a top base of 1.2 miles and a bottom base of 2.4 miles. If the height is 4 miles, what is the area of the trapezoid?

Answers

Answer:

$7.2 mi^2$

Step-by-step explanation:

A trapezoid is a plane shape and its area isgiven as;

$A = (1)/(2) (a + b) h$

where a = top base of trapezoid = 1.2 miles

b = bottom base of trapezoid = 2.4 miles

h = height of trapezoid = 4 miles

Hence, the area of the trapezoid shaped park is:

$A = (1)/(2) * (1.2 + 2.4) * 4\n\nA = (1)/(2) * 3.6 * 4\n\nA = 7.2 mi^2$

The area of the trapezoid shaped park is $7.2 mi^2$ .

2x2 + 6x + 5 = 0 what are the real roots for the quadratic equation

Answers

$2x^2 + 6x + 5 = 0$

$x= (-b+/- √(b^2 -4ac) )/(2a)$

$x= (-(6)+/- √((6)^2 -4(2)(5)) )/(2(2))$

$x= (-6+/- √(36 -40) )/(4)$

$x= (-6+/- √(-4) )/(4)$

$x= (-6+/- i√(4) )/(4)$

$x= (-6+/- 2i )/(4)$

NO REAL ROOTS

$2x^2+6x+5=0\ \ \ \ /:2\n\nx^2+3x+2.5=0\n\nx^2+2x\cdot1.5=-2.5\n\nx^2+2x\cdot1.5+1.5^2-1.5^2=-2.5\n\n(x+1.5)^2-2.25=-2.5\n\n(x+1.5)^2=-2.5+2.25\n\n(x+1.5)^2=-0.25 < 0\ aren't\ real\ roots\ because\ for\ x\in\mathbb{R},\ a^2\geq0$

the function f is given by f(x) = 2x+3/x+1. Which of the following statements are true? i. the graph of f has a horizontal asymptote at y = 2 because lim x->[infinity] f(x) = 2 ii. the graph of f has a horizontal asymptote at y = 2 because lim x->[infinity] f(x) = 2 iii. the graph of f has a vertical asymptote at x = -1 because lim x->-1 f(x) = [infinity] a. I only b. Ill only c. I and Il only d. I, II, and III

Answers

Answer:

1. The graph of f has a horizontal asymptote at y -> 2 because lim f (x) = 2. 2 because lim f (x) = 2.

Step-by-step explanation:

Answer:

Hi,

Answer : option D

Step-by-step explanation:

the function f is given by f(x) = 2x+3/x+1.

Which of the following statements are true?

i. the graph of f has a horizontal asymptote at y = 2 because lim x->[infinity] f(x) = 2 is TRUE

ii. the graph of f has a horizontal asymptote at y = 2 because lim x->[infinity] f(x) = 2 is TRUE since I=II

iii. the graph of f has a vertical asymptote at x = -1 because lim x->-1 f(x) = [infinity] is TRUE

a. I only

b. Ill only

c. I and Il only

d. I, II, and III

What is another way to write 4 hundreds?

Answers

There is 3 form that mostly used in math: standard form, expanded form and word form. In this question, 4 hundred would be word form. So, to write 4 hundred in a different form the answer would be:

Standard form: 400
Expanded form : 4x100

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