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Illusion [34]
3 years ago
9

Rico bicycles at an average speed of 15.5 miles per hour. What distance will Rico bicycle in 180 minutes?

Mathematics
1 answer:
Tpy6a [65]3 years ago
7 0

Answer:

46.5 miles

Step-by-step explanation:

Average speed × Time in hours = Distance

Average speed = 15.5 Miles per hour

Time = 180 minutes

We convert to hours

60 minutes = 1 hour

180 minutes = x

Cross Multiply

60x = 180

x = 180/60

x = 3 hours

Distance = 15.5 miles per hour × 3 hours

Distance = 46.5 miles

The distance Rico will ride his bicycle is 46.5 miles

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It would be Y=-4x+10. Please mark me brainliest. It’s fine if you don’t want to tho.
6 0
3 years ago
Find the total surface area of this triangular prism.<br> 30 cm<br> 18 cm<br> 7 cm<br> 24 cm
Effectus [21]

Answer:

<em>588 cm²</em>

Step-by-step explanation:

<em>24 × 7 + 30 × 7 + 2(24 × 18) + 18 × 7</em> = 7(24 + 30 + 18) + 2 × 42 = 7 × 72 + 84 = 504 + 84 = <em>588 cm²</em>

4 0
3 years ago
Which one of these formulas describes the following sequence?<br><br> 1,5,12,22,35
kati45 [8]

We can find a formula for nth term of the given sequence as follows:

1, 5, 12, 22, 35

The 1st differences between terms:

4, 7, 10, 13

The 2nd differences :

3, 3, 3

Since it takes two rounds of differences to arrive at a constant difference between terms, the nth term will be a 2nd degree polynomial of the form: a n^2 + b n + c, where c is a constant. The coefficients a, b, and the constant c can be found.

We can form the following 3 equations with 3 unknowns a, b, c:

1 = a\cdot1^2 + b\cdot1 + c\\5 = \cdot2^2 + b\cdot2 + c\\12 = a\cdot3^2 + b\cdot3 + c

Solving for a, b, c, we get:

a = 3/2, b = -1/2, c = 0

Therefore, the nth term of the given sequence is:

\boxed{ a_n = \dfrac{3}{2}n^2- \dfrac{1}{2} n}

7 0
3 years ago
It is proposed to build a raft of pine logs for carrying a cargo on a river. The cargo will weigh 500 kg, and it must be kept en
siniylev [52]

Answer:

They will need 200kg of pine logs.

Gauge pressure in the tank = 24045.29 Pa

Absolute pressure= 125370.29Pa

Step-by-step explanation:

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50×0.0254=1.27m

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P = pgh

Where p= density,g= acceleration due to gravity, h= height

P= 1.93× 1000× 9.81× 1.27= 24045.29Pa

Absolute pressure=Ptotal= Pliquid + Patm

Absolute pressure =24045.29 + 101325=125370.29pa

6 0
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Answer:

The answer is 18 feet squared

Step-by-step explanation:

3 0
3 years ago
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