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Mandarinka [93]
3 years ago
5

In which region was Pennsylvania located?

Mathematics
2 answers:
astra-53 [7]3 years ago
8 0
The middle Atlantic region
Ksenya-84 [330]3 years ago
7 0
Northeastern and middle Atlantic regions of the United States
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Find the missing side of this right<br> triangle.<br> 19<br> X<br> X =<br> 16<br> ✓[?]
julia-pushkina [17]

Answer:

x = sqrt(105)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

16^2 + x^2 = 19^2

256 + x^2 = 361

x^2 = 361 -256

x^2 =105

Take the square root of each side

sqrt(x^2) = sqrt(105)

x = sqrt(105)

8 0
2 years ago
Mr. Sawyer drove his car from his home to New York at the rate of 45 mph and returned over the same road at the rate of 40 mph.
AveGali [126]

Answer: Time taken by him in going = 8 hours

Time taken by him in returning =  9 hours

Step-by-step explanation:

Let the total distance from home to New York is x miles,

\text{ Since, Time} = \frac{\text{Distance}}{\text{Speed}}

Also, he drove his car from his home to New York at the rate of 45 mph,

⇒ \text{ Time taken by him in going } = \frac{x}{45}\text{ hours}

And, returned over the same road at the rate of 40 mph.

⇒  \text{ Time taken by him in returning } = \frac{x}{40}\text{ hours}

According to the question,

Time taken by him in returning - Time taken by him in going = 30 minutes = 1/2 hours,    ( 1 hours = 60 minutes )

⇒ \frac{x}{40}-\frac{x}{45}=\frac{1}{2}

⇒ \frac{9x}{360}-\frac{8x}{360}=\frac{1}{2}

⇒ \frac{x}{360} = \farc{1}{2}

⇒ 2x=720

⇒ x=360\text{ miles}

Hence, the total distance from home to New York = x miles = 360 miles

⇒ \text{ Time taken by him in going } = \frac{x}{45}\text{ hours}

=\frac{360}{45}=8\text{ hours}

⇒  \text{ Time taken by him in returning } = \frac{x}{40}\text{ hours}

=\frac{360}{40}=9\text{ hours}

3 0
3 years ago
I will take exam tommorrow so, what shall i do the day before start exam to score best mark?​
Digiron [165]

Study. also, i would leave the answer there, but it says i need 20 words to answer so thats why i included this extra bit, but yeah just study.

7 0
3 years ago
Read 2 more answers
Help with #5 please!
Dmitrij [34]
If you plug in the x and y of choice b you would see that it does not equal 18.

6(3) + 3(-1) = 18
18 + (-3) = 15
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3 b. A taxi hurries 261 km in 135 minutes. What is its average speed in kilometers per hour?​
otez555 [7]
Speed=d/t
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Correct me if I’m wrong
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