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3 years ago

Which letter could represent sin -135°? A. a B. b C. c D. d

Mathematics

1 answer:

Katena32 [7]3 years ago

4 0

Answer:

Option D.

Step-by-step explanation:

we know that

Angle -135° is equal to

360°-135°=225°

The angle belong to the III quadrant

225°-180°=45°

sin(45°)=d/1=d

therefore

sin(-135°)=-sin(45°)=d ---> the value is negative

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The product of nine and the total of r and eight

yuradex [85]

Answer:

9(r + 8) = 9r +72

Step-by-step explanation:

9(r + 8)

9r + 72

Hope this helps!

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2 years ago

Three times a number plus 12 minus 5 times the same number is 22. What is the number?

Ilia_Sergeevich [38]

Answer:3

Explanation: 3x5=15+12=27-5=22

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4 years ago

Cody and his friends stated playing a game at 6:30 P.M. it took them 37 minuntes to finish the game at what time did they finish

gavmur [86]

Answer:

7:07 p.m

Step-by-step explanation:

Add 37 minutes to 6:30

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3 years ago

Read 2 more answers

My Notes The displacement from equilibrium of an oscillating weight suspended by a spring is given by y(t) = 1 4 cos(5t) where y

ikadub [295]

Answer:

y(0) = 0.25 feet

$y(\frac{1}{4}) = 0.0789 \text{ feet}$

$y(\frac{1}{2}) =-0.2003 \text{ feet}$

Step-by-step explanation:

We are given the following information in the question:

The displacement from equilibrium of an oscillating weight suspended by a spring =

$y(t) = \displaystyle\frac{1}{4} \cos(5t)$

where y is the displacement in feet and t is the time in seconds.

Here, cos is in radians.

1) t = 0

$y(0) = \displaystyle\frac{1}{4} \cos(5(0)) = \frac{1}{4} \cos(0) = \frac{1}{4}(1) = \frac{1}{4}$

y(0) = 0.25 feet

2) t = $\frac{1}{4}$

$y(\displaystyle\frac{1}{4}) = \displaystyle\frac{1}{4} \cos(5(\frac{1}{4})) = \frac{1}{4} \cos(1.25) = \frac{1}{4}(0.31532236) =0.07883059$

$y(\frac{1}{4}) = 0.0789 \text{ feet}$

3) t = $\frac{1}{2}$

$y(\displaystyle\frac{1}{2}) = \displaystyle\frac{1}{4} \cos(5(\frac{1}{2})) = \frac{1}{4} \cos(2.5) = \frac{1}{4}(-0.80114362) = -0.200285905$

$y(\frac{1}{2}) =-0.2003 \text{ feet}$

The negative sign indicates the opposite direction of displacement.

3 0

3 years ago

A quadratic equation is shown below: 2x2 − 10x − 8 = 0 Part A: Describe the solution(s) to the equation by just determining the

dangina [55]

PART A:

The given quadratic equation is 2x²-10x-8=0

The radicand is given by b²-4ac where a, b, and c are the constants in a quadratic form ax²+bx+c

From the given equation, we have
a = 2
b = -10
c = -8

Radicand b²-4ac = (-10)² - 4(2)(-8) = 100 + 64 = 164

The radicand is >0 hence the quadratic equation has two distinct roots

PART B:

4x²-12x+5 = 0

We can use the factorization method to solve the equation
Firstly, we multiply 4 by 5 to get 20
Then we find the pair of numbers that multiply gives 20 and sum gives -12

The pair of number is -2 and -10
Rewriting the equation
4x²-2x-10x+5 = 0
2x(2x-1)-5(2x-1) = 0
(2x-1)(2x-5) = 0

2x-1 = 0 and 2x-5 = 0
x = 1/2 and x = 5/2

6 0

4 years ago