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2 years ago

A car is traveling at 70 mi/hour. What is the car's speed in feet per second?

2 answers:

5 0

There are 5,280 feet per mile and
3,600 seconds per hour

70 miles / hour * (5,280 feet / 1 mile) * (1 hour / 3,600 seconds) =
369,600 / 3,600 = 102.666... feet / second

Pepsi [2]2 years ago

3 0

70 miles per hour
5280 feet per mile
5280 x 70 = 369600 feet per hour
3600 seconds per hour
369600 divided by 3600 =
102.67 feet per second (rounded to the nearest hundredth)

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3 years ago

Simplify the expression state any excluded values<br> 2a^2-4a+2<br> ---------------<br> 3a^2-3

chubhunter [2.5K]

Answer:

The simplified form is $\dfrac{2(x-1)}{3(x+1)}$ .

$x =1$ is the excluded value for the given expression.

Step-by-step explanation:

Given:

The expression given is:

$\dfrac{2a^2-4a+2}{3a^2-3}$

Let us simplify the numerator and denominator separately.

The numerator is given as $2a^2-4a+2$

2 is a common factor in all the three terms. So, we factor it out. This gives,

$=2(a^2-2a+1)$

Now, $a^2-2a+1=(a-1)(a-1)$

Therefore, the numerator becomes $2(a-1)(a-1)$

The denominator is given as: $3a^2-3$

Factoring out 3, we get

$3(a^2-1)$

Now, $a^2-1$ is of the form $a^2-b^2=(a-b)(a+b)$

So, $a^2-1=(a-1)(a+1)$

Therefore, the denominator becomes $3(a-1)(a+1)$

Now, the given expression is simplified to:

$\frac{2a^2-4a+2}{3a^2-3}=\frac{2(x-1)(x-1)}{3(x-1)(x+1)}$

There is $(x-1)$ in the numerator and denominator. We can cancel them only if $x\ne1$ as for $x=1$ , the given expression is undefined.

Now, cancelling the like terms considering $x\ne1$ , we get:

$\dfrac{2a^2-4a+2}{3a^2-3}=\dfrac{2(x-1)}{3(x+1)}$

Therefore, the simplified form is $\dfrac{2(x-1)}{3(x+1)}$

The simplification is true only if $x\ne1$ . So, $x =1$ is the excluded value for the given expression.

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3 years ago

Which statements are always true regarding the diagram? Select three options.

Maurinko [17]

Find : Which statements are always true regarding the triangle
m∠5 + m∠3 = m∠1
m∠3 + m∠4 + m∠5 = 180°
m∠5 + m∠6 =180°
m∠2 + m∠3 = m∠6
m∠2 + m∠3 + m∠5 = 180°
Solution:
External angle of triangle = Sum of opposite interior angles
m∠1 = m ∠3 + m∠5
m∠4 = m ∠2 + m∠5
m∠6 = m ∠2 + m∠3

4 0

3 years ago

Read 2 more answers

The Digit 9 in which number represents a value of 9 hundredths?

andreyandreev [35.5K]

Answer:

One example: 1.29

Step-by-step explanation:

Any number with 9 at the second decimal place

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3 years ago

Help please, i really need it because its almost due

nata0808 [166]

Answer:

D sqrt( A ) sqrt(pi) / pi = r

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

To find r

Divide each side of the equation by pi

A / pi = pi r^2 /pi

A / pi = r^2

Take the square root of each side

sqrt(A / pi )= sqrt( r^2)

sqrt(A / pi )= r

We do not like leaving square roots in the denominator, so multiply by sqrt(pi)/sqrt(pi))

sqrt(A / pi ) *sqrt(pi)/sqrt(pi))

sqrt( A ) sqrt(pi) / pi = r

3 0

3 years ago

Read 2 more answers

A car is traveling at 70 ​mi/hour. What is the​ car's speed in feet per​ second?

A car is traveling at 70 mi/hour. What is the car's speed in feet per second?