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topjm [15]
3 years ago
7

at 1 pm, you start out on your bike at 12 mph to meet a friend who lives 8 miles away. at the same time, the friend starts walki

ng toward you at 4 mph. at what time will you meet your friend?
Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
5 0

Answer:  1:30 PM

It takes 30 minutes

==========================================================

Explanation:

x = number of hours traveled

We'll use the equation

distance = rate*time

You bike at a rate of 12 mph and do so for x hours. That means you travel 12x miles based on the equation above. Your friend travels 4x miles for similar reasoning. Overall, the two of you travel a combined distance of 12x+4x = 16x miles. This combined distance is set equal to the 8 miles (distance between your houses) and you solve for x.

16x = 8

x = 8/16

x = 1/2

x = 0.5

Recall x is the number of hours, so that means it takes 1/2 an hour for the two of you to meet. This is equivalent to 30 minutes since 1/2*60 = 30.

If all of this starts at 1 PM, then you'll meet up at 1:30 PM since we add on 30 minutes to 1 PM to get to this moment in time.

------------------

Extra info:

You travel 12x = 12*0.5 = 6 miles

Your friend travels 4x = 4*0.5 = 2 miles

Total distance = you+friend = 6+2 = 8 miles

This helps confirm the answer.

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the length of the shadow of a pole on level ground increases by 90m when the angle of elevation of the sun changes from 58 degre
Mama L [17]

Step-by-step explanation:

(A) Let a triangle be formed with height of pole h, length of base b and angle of elevation 58°. (Due to lack of a figure).

Tan 58° = h / b = 1.6

(B) Let another triangle be formed with height of pole h, length of base (b + 90) and angle of elevation 36°. (Due to lack of a figure).

Tan 36° = h / (b + 90) = 0.72

(C) <u>Simplifying the two equations</u> :

1.6b = 0.72b + 64.8

b = 64.8 / 0.88 = 73.6 m

h (height of pole) = 1.6 * 73.6 = 117.76 m

4 0
3 years ago
Write cp and sp i bought a suit rs 5750.00 and sold it at rs 5890.00?​
Levart [38]

CP = Rs 5750.00

SP = Rs. 5890.00

\rm \blue{\: mark \: brainleist \: }

3 0
3 years ago
Read 2 more answers
Can someone help me? ​
Rasek [7]

Step-by-step explanation:

given \:  - 5n = 4m

making m the subject first by dividing through by 4

\frac{ - 5}{n}  =  \frac{4m}{4}

m =  \frac{ - 5n}{4}

from the question, given n = -1 ,0 ,1

so when n= -1

m =  \frac{ - 5( - 1)}{4}

m =  \frac{5}{4}

when n=0

m =  \frac{ - 5(0)}{4}

m =  \frac{0}{4}

m = 0

when n=1

m =  \frac{ - 5(1)}{4}

m =  \frac{ - 5}{4}

3 0
3 years ago
9 x 7 = ( x 7) – (1 x 7)<br> = 70-<br> =
WARRIOR [948]

Answer:

63

Step-by-step explanation:

9x7=(10x7)-1x(7)

=70-7

=63

8 0
3 years ago
Given vectors A (2,-1,5), B (4,3,-2) &amp; C (5,4,0), find:?
MrRissso [65]
A) 4a - 3b + 2c

4(2, -1, 5) - 3(4, 3 , -2) + 2(5, 4, 0) = (8, -4, 20) - (12, 9, - 6) + (10, 8, 0) =

= (8 - 12 + 10 , -4 - 9 + 8 , 20 + 6 + 0) = (6, - 5, 26)

Answer: (6, - 5, 26)

b) magnitude of vector b

\sqrt{4^2+3^2+(-2)^2} = \sqrt{16+9+4} = \sqrt{29} ~ 5.4

c) vector of length 7 parallel to vector c

=> m(5,4,0) = (5m,4m,0)

=>    \sqrt{(5m)^2+(4m)^2+0}= \sqrt{25m^2+16m^2}= \sqrt{41m^2}=m \sqrt{41}=7

=> m = 7 / √41 ≈ 1.093

=> 1.093 (5, 4, 0) = (5.465 , 4.372, 0)

Answer: (5.465 , 4.372 , 0)
7 0
3 years ago
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