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dimulka [17.4K]
3 years ago
14

Pedro wants to walk from the historic village to the science center the he will walk from the science center to the museum.if he

walks at a speed of 4 1/2 mile per hour how long will it take him?
plz answer fast thx

Mathematics
2 answers:
Zepler [3.9K]3 years ago
5 0

I'm assuming each grid square= 1 square mile.

To do this, you first need to find the total distance.
The first component of his walk takes him from an x-coordinate of 2 to a coordinate of -4 1/2. Since the y-value remains the same, you're not worried about that for this part of the problem. The difference between 2 and -4 1/2 is 6 1/2, so that is your horizontal distance.

Now he walks from the (-4 1/2, -1 3/4) to (-4 1/2, 5 1/4). This time, the x-value is constant, so you only need to worry about the y. As they are on opposite sides of the x-axis, you can add the y-values to get a result of 7, which is your vertical distance.

I just realized I did those distances in reverse order, but it should be ok because the total distance is the same.
To find the total distance, add vertical to horizontal.
6 1/2 + 7 = 13 1/2. This is your total distance.

Now that you have both his speed (given), and total distance, you can find the time it will take him. If he is moving at 4 1/2 mph and the distance is 13 1/2 miles, you can use s=d/t to find the time. 3 1/2 miles divided by the time = 4 1/2 mph. To solve for t, multiply both sides by t and divide that by s, so t= d/s. we know d= 13 1/2 and s= 4 1/2, so t= 13.5 divided by 4.5 = 3. As his speed is in mph, the unit is in hours. Therefore, the answer should be 3 hours.
avanturin [10]3 years ago
3 0

Answer:

it's actually 4 hours

Step-by-step explanation:

ive done the same lesson.

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4 3/10 - 1 7/10 simplest form
olasank [31]

Answer:

2 3/5

Step-by-step explanation:

43/10- 17/10

(43 × 10) - (17 × 10) /10 × 10

260/100

260 ÷ 20/100 ÷ 20

2 3/5

7 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%7B%20%5Ccos%5E%7B4%7D%5Calpha%7D%20%5C%3A%20%2B%20%20%20%5Csin%5E%7B2%7D%20%5Calpha%20%5C%
timurjin [86]

Answer:

Proved

Step-by-step explanation:

cos^4\alpha +sin^4\alpha =\frac{1}{4}(3+cos4\alpha )\\\\

Take the Left Hand Side:

cos^4\alpha +sin^4\alpha\\\\(cos^2\alpha )^2+(sin^2\alpha )^2\\\\(\frac{1+cos2\alpha }{2})^2+(\frac{1-cos2\alpha }{2})^2  \\\\\frac{1+2cos2\alpha +cos^22\alpha }{4}+\frac{1-2cos2\alpha +cos^22\alpha }{4} \\\\

\frac{1+2cos2\alpha +cos^22\alpha +1-2cos2\alpha +cos^22\alpha }{4} \\\\\frac{2+2cos^22\alpha }{4} \\\\\frac{1+cos^22\alpha }{2} \\\\\frac{1}{2}(1+cos^22\alpha )\\\\

\frac{1}{2}(1+\frac{1+cos4\alpha }{2})

\frac{1}{2}(\frac{2+1+cos4\alpha }{2})\\\\\frac{1}{4}(3+cos4\alpha )\\\\

Hence Proved!

The following identities were used are attached in an image

3 0
3 years ago
How is -9 the same as 9? Please explain
Mama L [17]
When the signs of the two numbers are the same, the answer will be positive. When the signs of the two numbers are different, the answer will be negative.
7 0
4 years ago
Read 2 more answers
Could someone answer the top one
nika2105 [10]

Step-by-step explanation:

<c = 180°-148° = 32° ( linear pair )

<c=<d = 32° ( alternate angle, transversal. )

<a=180°-62°= 118°( linear pair)

<a=<b (vertically opposite angle)

I have found all the missing angles.

hope this helps you .

are you from canada??

3 0
3 years ago
HELPPPP MEEEE PLEASEEEEEEEE
Elden [556K]

Answer:

your answer is gonna be D!

Step-by-step explanation:

2x

2

+16x−7x−56

2 Collect like terms.

2{x}^{2}+(16x-7x)-56

2x

2

+(16x−7x)−56

3 Simplify.

2{x}^{2}+9x-56

2x

2

+9x−56

8 0
3 years ago
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