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Ray Of Light [21]
3 years ago
8

Please help I don’t get it

Mathematics
1 answer:
stealth61 [152]3 years ago
3 0
Y is (5) i believe i’m correct, check and see
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A person takes a trip, driving with a constant peed of 89.5 km/h, except for a 22.0-min rest stop. If the peron's average speed
Stolb23 [73]

Answer:

a) The person traveled 2.83 hours.

b) The person travels 220.17 kilometers.

Step-by-step explanation:

We have that the speed is the distance divided by the time. Mathematically, that is

s = \frac{d}{t}

(a) how much time is spent on the trip and

The peron's average speed is 77.8 km/h, which means that s = 77.8

The person distance traveled is:

22 min is 22/60 = 0.37h.

So for  the time t1, the person traveled at a speed of 89.5 km/h. Which has a distance of 89.5*t1.

For 0.37h, the person was at a stop, so she did not travel. This means that the total distance is

d = 89.5t1 + 0 = 89.5t1

The total time is the time traveling t and the stoppage time 0.37. So

t = t1 + 0.37

We want to find t1, which is the time that the person was driving.

So

s = \frac{d}{t}

77.8 = \frac{89.5t1}{t1 + 0.37}

77.8t1 + 77.8*0.37 = 89.5t1

11.7t1 = 28.786

t1 = \frac{28.786}{11.7}

t1 = 2.46

The total time is

t = t1 + 0.37 = 2.46 + 0.37 = 2.83

The person traveled for 2.83 hours.

(b) how far does the person travel?

The person traveled 2.46 hours at an average speed of 77.8 km/h. So

s = \frac{d}{t}

77.8 = \frac{d}{2.83}

d = 77.8*2.83 = 220.17

The person travels 220.17 kilometers.

8 0
4 years ago
Find the value of 1.5l²m×2.4lmn² if l = 1,m = 0.2 and n= 0.5​
Paraphin [41]

Answer:

plug in the numbers and multiply

Step-by-step explanation:

then do the exponents I hope this hleps

6 0
3 years ago
Work out the size of angle x
vfiekz [6]

Answer:

104 degrees

Step-by-step explanation:

90 + 54 + 132 = 276

360 - 276 = 104

6 0
3 years ago
Read 2 more answers
if you draw two right triangles using the line as the hypotenuse, do the triangles have to be similar? Why or why not?
diamong [38]

Answer:

All the right triangles will be similar.

Step-by-step explanation:

See the attached diagram.

Let us assume any two right triangles are drawn on the line OP, and AB and A'B' as the hypotenuse on the same line OP.

Since the slope of the line OP is constant and assume that it makes x° with the positive x-axis.

Hence, \tan x = \frac{AC}{BC} = \frac{A'C'}{B'C'}

⇒ \frac{AC}{A'C'} = \frac{BC}{B'C'}

Therefore, the sides of the two right triangles are in the same ratio and hence, Δ ABC and Δ A'B'C' are similar.

Hence, all the right triangles will be similar. (Answer)

4 0
4 years ago
Is the following conditional true?<br> If x &lt; 4, then x &lt; 10<br> O yes<br> O no
Kay [80]

Answer: No, i think so.

7 0
1 year ago
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