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Anna35 [415]
3 years ago
9

A car is traveling at a speed of 108 km per hour what is the car speed in meters per second how many meters with the car travel

in 10 seconds. do not round your answer
Mathematics
1 answer:
o-na [289]3 years ago
7 0

There is a method of doing this called unit analysis. It automatically sets up the question in such away that you multiply all the numerators together and divide by all the denominators multiplied together. It is very handy to know.

Notice how the cancellation takes place as you progress from left to right. You are given seconds to start with and that cancels at the end, so that you are only left with meters.

\dfrac{10 s}{1} * \dfrac{108 km}{1 hour} * \dfrac{1000 m }{1 km}*\dfrac{1 hour}{3600 s}

\text{numerator = 10 * 108 * 1000 = 1080000}\\ \\ \text{denominator = 1 * 1 * 1 *3600}

The distance traveled in 10 seconds = 1080000 / 3600 = 300 meters.

Answer: 300 meters

You could also do this question by proportions, which you will no doubt get as your second answer.


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Which of the following statements are true about the graph of f(x) = 6(x + 1)2 -9?
Sphinxa [80]

Answer:

Step-by-step explanation:

a. The vertex is (1, -9).  False.  The vertex is (-1, -9).

b. The graph opens upward.  True.  That coefficient '6' is positive.

c. The graph is obtained by shifting the graph of f(x) = 6(x + 1)2 up 9 units.  False.  It's DOWN 9 units.

d. The graph is steeper than the graph of f(x) = x^2.  True.  The given function increases 6 times faster than does x^2.

e. The graph is the same as the graph of f(x) = 6x2 + 12x - 3.

Let's put f(x) = 6(x + 1)^2 -9 into standard form.  Expanding the first term, we get f(x) = 6(x^2 + 2x + 1) - 9, or f(x) = 6x^2 + 12x + 6 - 9.  YES, TRUE

3 0
2 years ago
Which statement best completes the sentence below? If the measure of /_4 is 70^o, then the measure of /_8 is _________________.
Alex_Xolod [135]

Answer:

As given, measure of angle 4 is 70°

Then what would be the measure of ∠8.

Following cases comes into consideration  

1. If ∠4 and ∠8 are supplementary angles i.e lie on same side of Transversal, then

 ∠4 + ∠8=180°

⇒70°+∠8=180°  [∠4=70°]

⇒∠8=180°-70°

⇒∠8=110°

<u>2nd possibility</u>

But if these two angles i.e ∠4 and ∠8 forms a linear pair.Then

⇒ ∠4 + ∠8=180°

⇒70°+∠8=180°  [∠4=70°]

⇒∠8=180°-70°

⇒∠8=110°

<u>3rd possibility</u>

If ∠4 and ∠8 are alternate exterior angles.

then, ∠4 = ∠8=70°

<u>4th possibility</u>

If If ∠4 and ∠8 are corresponding angles.

then, ∠4 = ∠8=70°

Out of four options given Option A[ 110° because ∠4 and ∠8 are supplementary angles], Option B[70° because ∠4 and ∠8 are alternate exterior angles.] and Option D[70° because ∠4 and ∠8 are corresponding angles.] are Correct.







8 0
3 years ago
Best answer gets brainliest!<br><br> What are some equivalent expressions of 6(m + 2 + 7m)?
bezimeni [28]

Answer:

See Explanation

Step-by-step explanation:

To write an equivalent expression, we can combine like terms. So m +7m is 8 and we get 6(8m+2).

Here are a few others:

48m+12

6(m+m+m+m+m+m+m+m+2)

3(16m+4)

6m+12+42m

6m+6m+6m+6m+6m+6m+6m+6m+2

and the list goes on...

3 0
3 years ago
Read 2 more answers
If the base of a Pyramid has an area of 144sq ft And if the slant higher of the pyramid is 10ft what would be the higher of the
pogonyaev

Answer:

the height of the pyramid is 8 ft

Step-by-step explanation:

Considering the base of the pyramid to be square whose area is 144 sq ft

This means the side of the base would be √144 = 12 ft.

Now, if you will imagine a pyramid we can easily observe that

Height(H) , slant height( L=10 ft) and half of the side length( 6ft) make a right angle triangle. We can easily calculate height from Pythagoras theorem as

10^2 = H^2 +6^2

⇒ H^2 = 10^2-6^2 = 100-36 = 64

⇒ H = 8 ft

Therefore, the height of the pyramid is 8 ft

3 0
2 years ago
I need help with #18,20,22 and 24. Please show your work and I'm really thankful for your help as soon as possible!
Artist 52 [7]
I'll start 18 and 22 for you, and you should then be able to do the rest on your own!

For 18, what we literally do is apply the distance formula for all the points and add them up. For B to C, we get the distance between them to be
sqrt((x1-x2)^2+(y1-y2)^2)=sqrt((0-4)^2+(3-(-1))^2)=sqrt((-4)^2+4^2)=sqrt(16+16)=sqrt(32). Repeat the process for C to E, E and F, and F to B then add the results up to get your answer!

For 22, since the area of a rectangle is length*width (we know given the right angles and that the opposite sides are equal in how long they are), we can multiply 2 perpendicular lines, for example, BC and CE to get sqrt(32)*sqrt(8)=16 as the area
4 0
3 years ago
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