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stiks02 [169]
3 years ago
10

Meg lives in Indianapolis and wants to visit her mom in Lima. She has been meaning to go to a chiropractor in Dayton, so she is

wondering whether it makes sense to stop there on the way. Dayton is 165165165 miles east of Indianapolis, Lima is due north of Dayton, Indianapolis is 173173173 miles away from Lima, and there are straight roads connecting all three cities.
How many more miles would Meg drive if she stopped in Dayton first than if she drove directly to Lima?
Mathematics
1 answer:
ella [17]3 years ago
7 0

Answer: 44 miles

WORKINGS

Given,
The distance between Indianapolis and Lima, IL = 173 miles
The distance between Indianapolis and Dayton, ID = 165 miles
The distance between Dayton and Lima, DL is unknown

Since there are straight roads connecting the three cities, the connection between them form a right angles triangle.

The right angle is at Dayton
The hypotenuse is the distance between Indianapolis and Lima, IL

Therefore IL^2 = ID^2 + DL^2
173^2 = 165^2 + DL^2
DL^2 = 173^2 – 165^2
DL^2 = 29929 – 27225
DL^2 = 2704
DL = 52 miles

Therefore, The distance between Dayton and Lima, DL = 52 miles

The question is asking how many more miles would Meg drive if she stopped in Dayton first than if she drove directly to Lima.

That is, Distance of Indianapolis to Dayton + Distance of Dayton to Lima – Direct distance of Indianapolis to Lima
That is, ID + DL – IL
= 165 miles + 52 miles – 173 miles
= 217 miles – 173 miles
= 44 miles

Therefore, Meg would drive 44 more miles if she stopped in Dayton first than if she drove directly to Lima.
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Marina86 [1]

Answer:

The distance of the park from the Gary's house is 125 miles.

Step-by-step explanation:

Speed of Gary = 50 miles/hour

Time taken by Gary to reach the park from his house = 2.5 hours

Now, we know that,

Distance travelled = speed × time

So,  distance between park and Gary's house = speed × time

= 50 × 2.5

= 125 miles

So, the park is 125 miles away from the Gary's house.

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3 years ago
#14 write the given sentence as an equation. Tim'S age in 7 years will be three times what it was 19 years ago
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The first thing we must do for this case is to define variables.
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3 years ago
A single card is drawn from a standard 52 card deck.
Alecsey [184]

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43

Step-by-step explanation:

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2 years ago
While driving home from work Donald's windshield got cracked by a small rock, causing $500 worth of damage. Given the policy sum
Dafna11 [192]

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Benjamin threw a rock straight up from a cliff that was 48 ft above the water. If the height of the rock​ h, in​ feet, after t s
fomenos

Answer: It will take 4 seconds  for the rock to hit the​ water.

Step-by-step explanation:

Given : Benjamin threw a rock straight up from a cliff that was 48 ft above the water.

If the height of the rock​ h, in​ feet, after t seconds is given by the equation

h = -16 t^2+ 52 t + 48

To find : Time taken for the rock to hit the​ water.

When rock hit the water height becomes zero , i.e. put h = 0 , we get

-16 t^2+ 52 t + 48 =0

Divide equation by 2 , we get

-8t^2+26t+24=0

The Laue of x for ax²+bx+c =0 is x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}

So , t=\frac{-26\pm\sqrt{(26^{2}-4(-8)(24))}}{2(-8)}

t=\dfrac{-26\pm 38}{-16}\\\\ t=-\dfrac{-26+38}{-16}=-0.75\ \ t=\dfrac{-26-38}{-16}=4

Since t cannot be negative , so t= 4

Hence, it will take 4 seconds  for the rock to hit the​ water.

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