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3 years ago

Help fast! Which one is true?

Mathematics

2 answers:

Serga [27]3 years ago

5 0

Answer B

Step-by-step explanation:

I took the test and got it right

Sergio [31]3 years ago

5 0

Hello, Here is your answer:

Answer is B

iKnow this because I've had to take the test before and it was right

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A police cruiser is traveling at 20.0 m/s when the officer spies a speeder. The cruiser accelerates at 3.0 m/s^2 for 5.0 seconds

Tema [17]

For the first 5.0 seconds, the cruiser covers a distance of

$\left(20.0\dfrac{\rm m}{\rm s}\right)(5.0\,\mathrm s)+\dfrac12\left(3.0\dfrac{\rm m}{\mathrm s^2}\right)(5.0\,\mathrm s)^2=137.5\,\mathrm m$

At this point, the cruiser will have achieved a velocity of

$\left(20.0\dfrac{\rm m}{\rm s}\right)+\left(3.0\dfrac{\rm m}{\mathrm s^2}\right)(5.0\,\mathrm s)=35\dfrac{\rm m}{\rm s}$

The cruiser will take

$\left(35\dfrac{\rm m}{\rm s}\right)-\left(5.0\dfrac{\rm m}{\mathrm s^2}\right)t=0\implies t=7.0\,\mathrm s$

to come to a stop as it decelerates. It will have covered a total distance of

$(137.5\,\mathrm m)+\left(35\dfrac{\rm m}{\rm s}\right)(7.0\,\mathrm s)+\dfrac12\left(-5.0\dfrac{\rm m}{\mathrm s^2}\right)(7.0\,\mathrm s)^2=\boxed{260\,\mathrm m}$

8 0

3 years ago

What 17 multiply and adds to get -2

Marrrta [24]

17 * 0 + -2.

Now we rewrite the equation and make it 17 * 0 - 2 and u get -2.

8 0

4 years ago

Read 2 more answers

What is the answer of 156.256*458796.53

dybincka [34]

Answer:

71689710.59168

5 0

2 years ago

Sydney needs to earn $35 so she can buy her father a birthday present. Her mom said she can make $6 per hour cleaning around the

emmasim [6.3K]

Answer: the required system of equations are

x + y = 6

6x + 5y = 35

Step-by-step explanation:

Let x represent the number of hours spent cleaning and y represent the number of hours spent raking leaves.

There are 6 hours available before Sydney's father's birthday party where she can either clean or rake leaves. It means that

x + y = 6

Sydney needs to earn $35 so she can buy her father a birthday present. Her mom said she can make $6 per hour cleaning around the house and $5 per hour raking leaves. This means that

6x + 5y = 35

6 0

4 years ago

A right triangle with coordinates A (－1, 4), B(－1, 8) and C (3, 4) is first rotated 90 degrees counterclockwise and then transla

Sophie [7]

Answer:

The ∠B prime A prime C prime in the resulting figure = 90°

Step-by-step explanation:

The coordinates of the right triangle = A( -1, 4), B(-1, 8) and C(3, 4)

The rotation 90° counterclockwise of a point on a preimage (x, y) gives the coordinates of the location of the point of the image after rotation as (-y, x)

Therefore we have;

Applying 90° counterclockwise rotation we have;

The point A(-1, 4) is relocated to the point (-4, -1)
The point B(-1, 8) is relocated to the point (-8, -1)
The point C(3, 4) is relocated to the point (-4, 3)

Applying a translation T(-2, -3) to the new points above which is a translation 2 units left and 3 units down, we have;

The coordinates of the point A prime is (-4 - 2, -1 - 3) = (-6, -4)

The coordinates of the point B prime is (-8 - 2, -1 - 3) = (-10, -4)

The coordinates of the point C prime is (-4 - 2, 3 - 3) = (-6, 0)

The coordinates of the vertices of the triangle ΔA prime B prime C prime are A prime (-6, -4) B prime (-10, -4) C prime (-6, 0)

The measure of the angle ∠B prime A prime C prime is given as follows;

Length of a segment of each segment of the triangle are found using the following equation;

$l = \sqrt{\left (x_{2}-x_{1} \right )^{2}+\left (y_{2}-y_{1} \right )^{2}}$

Which gives;

Length of B prime A prime = √(((-10) - (-6))² + ((-4) - (-4))²) = 4

Length of B prime C prime = √(((-10) - (-6))² + ((-4) - 0)²) = 32 = 4·√2

Length of C prime A prime = √(((-6) - (-6))² + ((0) - (-4))²) = 4

∴ B prime C prime is the hypotenuse side and the ∠B prime A prime C prime = The angle opposite to the hypotenuse side = 90°

The ∠B prime A prime C prime in the resulting figure = 90°

6 0

3 years ago