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3 years ago

How can you show that two objects are proportional with a graph

Mathematics

1 answer:

Ray Of Light [21]3 years ago

3 0

Their angles/lengths (depending on which type of graph you are using) would be the same.

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For which value of theta is sine theta = negative 1?

Ivan

Answer:

1) 270 degrees

2) pi/4 rad

Step-by-step explanation:

1.) For which value of theta is sine theta = negative 1?

Given

sintheta = -1

theta = arcsin(-1)

theta = -90degrees

Since sin is negative in the third and 4th quadrant

In the third quadrant, theta = 180 + 90 = 270degrees

In the fourth quadrant, theta = 360 - 90 = 270 degrees

Hence the required value of theta is 270degrees

2) Given the radius of the circle to be 1, the y axis value will also be 1 units

Opposite = 1

adjacent = 1

hyp = √1²+1²

hyp = √2

sin theta = opp/hyp

sin theta = 1/√2

theta = arccsin(1/√2)

theta = 45 degrees

Express in radians

45 degrees = pi/4 radians

Hence the required angle in the first quadrant is pi/4 rad

4 0

2 years ago

Read 2 more answers

Which equation can be used to solve for x in the following diagram? Choose 1 answer:

quester [9]

Answer:

I think the answer might be D. 2x+4x=150

Step-by-step explanation:

Hope this helps!

3 0

3 years ago

Which statements are true for solving the equation 0.5 – |x – 12| = –0.25? Check all that apply.

Trava [24]

we have

$0.5-\left|x-12\right|=-0.25$

we know that

The absolute value has two solutions

Subtract $0.5$ both sides

$-\left|x-12\right|=-0.25-0.5$

$-\left|x-12\right|=-0.75$

Step 1

Find the first solution (Case positive)

$-[+(x-12)]=-0.75$

$-x+12=-0.75$

Subtract $12$ both sides

$-x+12-12=-0.75-12$

$-x=-12.75$

Multiply by $-1$ both sides

$x=12.75$

Step 2

Find the second solution (Case negative)

$-[-(x-12)]=-0.75$

$x-12=-0.75$

Adds $12$ both sides

$x=-0.75+12$

$x=11.25$

Statements

case A) The equation will have no solutions

The statement is False

Because the equation has two solutions------> See the procedure

case B) A good first step for solving the equation is to subtract 0.5 from both sides of the equation

The statement is True -----> See the procedure

case C) A good first step for solving the equation is to split it into a positive case and a negative case

The statement is False -----> See the procedure

case D) The positive case of this equation is 0.5 – |x – 12| = 0.25

The statement is False

Because the positive case is $0.5-(x-12)=-0.25$ -----> see the procedure

case E) The negative case of this equation is x – 12 = –0.75

The statement is True -----> see the procedure

case F) The equation will have only 1 solution

The statement is False

Because The equation has two solutions------> See the procedure

4 0

3 years ago

Read 2 more answers

Ryan bought 8 toys for $4 each.

Scilla [17]

Answer: 8x4+10

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

The height h in feet of the ball t seconds after it is kicked can be modeled by the function h = -4t (4t - 11). How long is the

Vaselesa [24]

Answer:

t₁ = 2,75 sec

Step-by-step explanation:

The ball will get h maximum when dh/dt ( its vertical component of the speed is equal to 0. At this moment the ball has flown half of the total flight time

Then

h(t) = - 4t * ( 4*t - 11 )

h(t) = - 16*t² + 44*t

Taking derivatives on both sides of the equation we get:

dh/dt = - 32*t + 44

dh/dt = 0 ⇒ -32*t + 44 = 0

t = 44/32 ⇒ t = 1,375 s

So twice this time

2*t = 2 * 1.375

Total time t₁ = 2,75 sec

6 0

3 years ago