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3 years ago

12

If a car has a velocity of 40 km/h west and then comes to a stop in 5s, what is its acceleration in m/s^ 2

2 answers:

Evgen [1.6K]3 years ago

8 0

Answer:

what that guys said

Step-by-step explanation:

yeha

Oxana [17]3 years ago

3 0

Answer:

8

Step-by-step explanation:

Here the velocity of initial velocity is 40 & final is 0 so use formula

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Which of the following facts, if true, would allow you to prove that lines l and m are parallel? NEED HELP

Damm [24]

Two parallel lines A and B are crossed by another line as shown in the attached figure. Angle 2 and 3 are equal, because they are opposite angles, while angle 3 and 7 are also equal, because they are corresponding angles, thus it is deduced that

angle 2 = angle 3

angle 3 = angle 7

So angle 2 = angle 7

<span>Hence fourth option is right.</span>

8 0

3 years ago

[tex]cos {}^{4} α+sin {}^{4} α= \frac{1}{4} (3+cos4α)<br>Prove:<br>

asambeis [7]

Given:

$\cos^4 \alpha+\sin^4\alpha=\dfrac{1}{4}(3+\cos 4 \alpha)$

To prove:

The given statement.

Proof:

We have,

$\cos^4 \alpha+\sin^4\alpha=\dfrac{1}{4}(3+\cos 4 \alpha)$

$LHS=\cos^4 \alpha+\sin^4\alpha$

$LHS=(\cos^2 \alpha)^2+(\sin^2 \alpha)^2$

$LHS=(\cos^2 \alpha+\sin^2\alpha)^2-2\sin ^2\alpha\cos^2 \alpha$ $[\because a^2+b^2=(a+b)^2-2ab]$

$LHS=(1)^2-2(1-\cos^2 \alpha)\cos^2 \alpha$ $[\because \cos^2 \alpha+\sin^2\alpha=1]$

$LHS=1-2\cos^2 \alpha+2\cos^4 \alpha$

Now,

$RHS=\dfrac{1}{4}(3+\cos 4 \alpha)$

$RHS=\dfrac{1}{4}[3+(2\cos^2 2\alpha-1)]$ $[\because \cos 2\theta=2\cos^2\theta -1]$

$RHS=\dfrac{1}{4}[2+2\cos^2 2\alpha]$

$RHS=\dfrac{1}{4}[2+2(2\cos^2 \alpha-1)^2]$ $[\because \cos 2\theta=2\cos^2\theta -1]$

$RHS=\dfrac{1}{4}[2+2(4\cos^4 \alpha-4\cos \alpha+1)]$ $[\because (a-b)^2=a^2-2ab+b^2]$

$RHS=\dfrac{1}{4}[2+8\cos^4 \alpha-8\cos \alpha+2]$

$RHS=\dfrac{1}{4}[4+8\cos^4 \alpha-8\cos \alpha]$

$RHS=1+2\cos^4 \alpha-2\cos \alpha$

$RHS=1-2\cos^2 \alpha+2\cos^4 \alpha$

$LHS=RHS$

Hence proved.

8 0

3 years ago

1. In trying to decrease the number of overdue books, your school library has revised its system of fines. They are going to giv

il63 [147K]

Answer:

Therefore the correct option is b.) $1.15

Step-by-step explanation:

i) the book is 10 days late

ii) there is one day grace

iii) on the second day there is a fine of $0.25

iv) on the third day there is a fine of $0.20

v) for each of the remaining 7 days there is a fine of $0.10 for each day

therefore the total fine for the remaining seven days is = 7 $\times$ $0.10 =

$0.70

vi) therefore the total fine for the book is = $0.25 + $0.20 + $0.70 = $1.15

Therefore the correct option is b.) $1.15

5 0

3 years ago

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kari74 [83]

Complete solution is given in attachment below.

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3 years ago

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joja [24]

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4 0

3 years ago