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love history [14]
3 years ago
5

A racecar is traveling at a constant speed of 120 miles per hour. How many feet does it travel in 6 seconds? Remember that 1 mil

e is 5280 feet.
Mathematics
1 answer:
snow_tiger [21]3 years ago
5 0

Answer:

1056 ft

Step-by-step explanation:

We need to convert the units from miles per hour to feet per second:

recall that i mile = 5280 ft, and one hour is 3600 seconds, so we do the conversion of the 120 miles per hour speed as follows:

120 \,\frac{mi}{h} = 120\,\frac{5280\,\,ft}{3600\,\,s} = \,176\,\,\frac{ft}{s}

which means that the car cover 176 ft in one second. Therefore, in 6 seconds it will cover 6 times this:

distance = 176 * 6 = 1056 ft

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Divide. Reduce the answer to lowest terms. 3/4 ÷ 1/3
Slav-nsk [51]

Answer:

9/4

Step-by-step explanation:

When you divide by a number, whole number or fraction, it's exactly like multiplying by its inverse.

Like if you divide 4 by 2,  you can easily express that has 4 * 1/2.

In the same manner, when you divide 3/4 by 1/3, you can say that you're multiplying 3/4 by 3/1

The result of 3/4 * 3/1 = 9 / 4

Which you cannot simplify because 9 and 4 don't have any common factors (other than 1).  The only other way to express it would be 3²/2² or (3/2)²

6 0
4 years ago
Factorise x - 2xz - 2xy + 4y². Show all the steps.​
nirvana33 [79]

Answer:

1(x - 2xz - 2xy + 4y²)

Step-by-step explanation:

I notice that no term all of them have. which means itbwill be factorised via 1.

1(x - 2xz - 2xy + 4y²)

3 0
2 years ago
Can someone with knowledge see what I did wrong on number 4<br>also see if number 3 is right​
Yakvenalex [24]

Answer:

#4.  m=0;

#3.  m = \frac{-1}{2}

Step-by-step explanation:

It seems right.

#4.  

Maybe your teacher wants you to write m=0; because when a fraction has a numerator equal to zero then the fraction is zero.

#3.

Maybe your teachers want you to simplify the fraction and write m = \frac{-1}{2}

7 0
3 years ago
Read 2 more answers
ammar hikes 23/4 miles of nature trail in 1 hour and 15 min .How many miles of trail does ammar hike per hour? pleas help me to
telo118 [61]
23/4 miles is as much as 5 3/4 miles. We can also write it as a decimal, because 5 3/4 = 5,75 miles.

If Ammar hikes 5,75 miles in 1 1/4 hour, then we need to find out what distance does he hike in 1/4 hour (15 minutes). To do that we can just divide 5,75 by 5 (because dividing 1 1/4 by 5 will give us 1/4 we're looking for).

5,75 / 5 = 1,15

It means that in one hour Ammar hikes 5,75 - 1,15 = 4,6 miles.

We can also write it as a fraction:

4,6 = 4 6/10 = 4 3/5 = 23/5 miles

Just pick whichever form you like :)
3 0
3 years ago
6. Sketch the region enclosed by the graphs of x =0, 6y-5x=0 and x+3y=21. Find the area
kow [346]
We can see that revolving the region formed by intersecting 3 lines, we will get 2 cones that are connected their bases.
Volume of the cone V=1/3 *πr²*h

1) small cone has r=5, and h=5
Volume small cone V1= 1/3 *π*5²*5 = 5³/3 *π
2) large cone has r=5, and h=21-6=15, h=15
Volume large cone V2= 1/3 *π*5²*15 = 5³*π
3) whole volume
5³/3 *π + 5³*π=5³π(1/3+1)=((5³*4)/3)π=(500/3)π≈166.7π≈523.6

Area
we see 2 right triangles,
Area of the triangle=1/2*b*h, where b -base, h -height
1) small one, b=5, h=5
A1=(1/2)*5*5=25/2
2)large one, b=5, h=15
A2=(1/2)*5*15=75/2
3) whole area=A1+A2=25/2+75/2=100/2=50

3 0
3 years ago
Read 2 more answers
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