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My name is Ann [436]
3 years ago
14

First, he needs to run to the store. To get to the store from his apartment, he can walk 1.2 miles North and 0.5 miles East alon

g the sidewalks. Or, he can cut through the city to get from his apartment to the store along a single straight line. Walking on the sidewalks, Henry walks 6 miles/hour. Cutting through the city, Henry can only walk 3.5 miles/hour.
Mathematics
1 answer:
Pachacha [2.7K]3 years ago
6 0

Answer:

If Henry walks along the sidewalks, he will walk 1.7 miles in total. It will take him 17 minutes to reach the store and another 17 minutes to come back.

If Henry cuts through the city, he will walk √(1.2² + 0.5²) = 1.3 miles in total. It will take him 22.3 minutes to reach the store and another 22.3 minutes to come back.

Even though Henry will need to walk a longer distance if he walks along the sidewalks, he will be able to reach the store and back back in a shorter time than if he cuts through the city.

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Is it 1 solution, no solution or infinite solution? <br> -28 = -7(3x + 4) + 21
prohojiy [21]

x = 1 because -7(3x + 4) must be -49 so 3x + 4 must me 7 so x = 1

5 0
3 years ago
Need to know the area of the composite figure.
Deffense [45]

Answer:

  51 m^2

Step-by-step explanation:

The shaded area is the difference between the area of the overall figure and that of the rectangular cutout.

The applicable formulas are ...

  area of a triangle:

     A = (1/2)bh

  area of a rectangle:

     A = bh

  area of a trapezoid:

     A = (1/2)(b1 +b2)h

___

We note that the area of a triangle depends only on the length of its base and its height. The actual shape does not matter. Thus, we can shift the peak of the triangular portion of the shape (that portion above the top horizontal line) so that it lines up with one vertical side or the other of the figure. That makes the overall shape a trapezoid with bases 16 m and 10 m. The area of that trapezoid is then ...

  A = (1/2)(16 m + 10 m)(5 m) = 65 m^2

The area of the white internal rectangle is ...

  A = (2 m)(7 m) = 14 m^2

So, the shaded area is the difference:

  65 m^2 -14 m^2 = 51 m^2 . . . . shaded area of the composite figure

_____

<em>Alternate approach</em>

Of course, you can also figure the area by adding the area of the triangular "roof" to the area of the larger rectangle, then subtracting the area of the smaller rectangle. Using the above formulas, that approach gives ...

  (1/2)(5 m)(16 m - 10 m) + (5 m)(10 m) - (2 m)(7 m) = 15 m^2 + 50 m^2 -14 m^2

  = 51 m^2

7 0
3 years ago
A cylinder has a radius of 1 inch and a height of 1 inch. what is the approximate volume of the cylinder round to the nearest hu
melisa1 [442]

Answer:3.14

Step-by-step explanation:

Volume of cylinder can be calculated by using the formula V= pir^2h

Where r is radius of cylinder and h is the height.

A cylinder with radius 1 inch and height of 1 inch is given.

r=1,h=1,π=3.14.

Substituting the given values :

V=3.14(1)^2(1)

Volume of cylinder rounded to nearest tenth is 3.14 cubic inches .

7 0
3 years ago
Shonda goes to a restaurant with no more than $15 to spend. She buys a burger that costs
andrew11 [14]

Answer:

she has 4.5

and she should´ve got bacon egg and cheese than that burger

5 0
2 years ago
What is the inverse function of f(x) = 25x-3?
Harrizon [31]

Answer:

The answer is

<h2>{f}^{ - 1} (x) =  \frac{x +3 }{25}</h2>

Step-by-step explanation:

f(x) = 25x - 3

To find the inverse of f(x) , equate f(x) to y

That's

y = f(x)

We have

y = 25x - 3

Next interchange the terms that's x becomes y and y becomes x

x = 25y - 3

<u>Next solve for y</u>

Move 3 to the other side of the equation

That's

25y = x +  3

<u>Divide both sides by 25</u>

\frac{25y}{25}  =  \frac{x + 3}{25}

We have the final answer as

{f}^{ - 1} (x) =  \frac{x +3 }{25}

Hope this helps you

5 0
3 years ago
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