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puteri [66]
3 years ago
12

Robert was able to travel 292.0 miles in 4.000 hours and used 38 liters of gasoline. What was robert's speed in feet per second?

(5280ft=1mi)
Mathematics
1 answer:
torisob [31]3 years ago
8 0

Distance traveled by Robert = 292 miles

Time taken by Robert to cover this distance = 4 hours.

Now converting miles in feet.

1 mile = 5280 feet

so, 292 feet = 292 * 5280 = 1541760 feet

Now converting 4 hours in seconds.

1 hour = 3600 seconds

so, 4 hours have 3600 * 4 = 14400 seconds.

Now the question says, we have to find the speed in feet per second

speed = \frac{distance}{time}

equals,

\frac{1541760}{14400}

= 107.067 feet per second

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Which of these sets could represent the side lengths of a right triangle?
Jlenok [28]

Answer:

{6, 8, 10} is a set which represents the side length of a right triangle.

Step-by-step explanation:

In a right triangle:

(Base)^{2}  + (Perpendicular)^{2}   = (Hypotenuse)^{2}

Now, in the given triplets:

(a) {4, 8, 12}

Here, (4)^{2}  + (8)^{2}   = 16 + 64  = 80\\\implies H = \sqrt{80}  =  8.94

So, third side of the triangle   8.94 ≠ 12

Hence,  {4, 8, 12} is NOT a triplet.

(b) {6, 8, 10}

Here, (6)^{2}  + (8)^{2}   = 36 + 64  = 100\\\implies H = \sqrt{100}  =  10

So, third side of the triangle  10

Hence,  {6, 8, 10} is  a triplet.

(c) {6, 8, 15}

Here, (6)^{2}  + (8)^{2}   = 36 + 64  = 100\\\implies H = \sqrt{100}  =  10

So, third side of the triangle  10  ≠ 15

Hence,  {6, 8, 15} is  NOT a triplet.

(d) {5, 7, 13}

Here, (5)^{2}  + (7)^{2}   = 25 + 49  = 74\\\implies H = \sqrt{74}  =  8.60

So, third side of the triangle  8.60  ≠ 13

Hence, {5, 7, 13} is  NOT a triplet.

4 0
3 years ago
Write the equation of the line that is per to x = -3 and passes through the point (4,-7)
Anon25 [30]

Answer:

y=-1/3x-17/3

Step-by-step explanation:

I assume you mean <em>perpendicular</em><em> </em>to x=-3.

In that case, we would flip and take the negative. A perpendicular slope would be x=-1/3

Now we plug the point (4,-7) into the equation

y=mx+b

y=-1/3x+b

-7=-1/3*4+b

-7=-4/3+b

b= -17/3

The whole equation would be:

y=-1/3x-17/3

<em>I hope this helps! :)</em>

8 0
2 years ago
3(1−2)&lt;33
nasty-shy [4]

Answer:

true

Step-by-step explanation:

3(1)+3(-2)

3+(-6)=-3

-3<33 is true

4 0
3 years ago
Why did the banana go out with the plum?
Lorico [155]
<span>Because he couldn't find a date</span>
3 0
3 years ago
The product of 3x and (3x+1) is a t least 35
Leokris [45]
Product means the sum of two things i.e. the product of 1 and 2 is 3 <span>(1 + 2 = 3)

So the product of 3x and (3x+1) can be written as:
35 < 3x + 3x + 1
^ Greater than 35 i.e. at least 35
35 < 6x + 1
34 < 6x
34/6 < x
17/3 < x
5.67 (2dp) < x

</span>
6 0
3 years ago
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