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Mathematics

1 answer:

viktelen [127]2 years ago

7 0

Answer:

1) 2 units right

2) 2 units up

3) 2 units left

4) 2 units down

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Find the highest common factor (H.C.F) OF 168 and 252.

blondinia [14]

Let's first write all the factors of 168 and 252.

168 - 1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
252 - 1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

84 is the GCF because 84 is greatest common factor of 168 and 252.

So, 84 is the GCF

Hope this helps.. :)

3 0

2 years ago

For some reason it says square but please help! I need to know step by step what to do.

quester [9]

Answer:

8.06 inches

Step-by-step explanation:

The diagram shows a rectangle with width of 4 inches and area of 28 square inches.

Use area formula:

$A_{\text{rectangle}}=\text{Width}\times \text{Length}$

So,

$28=4\times \text{Length}\Rightarrow \text{Length}=\dfrac{28}{4}=7\ \text{inches}$

By the Pythagorean theorem,

$\text{Diagonal}^2=\text{Width}^2+\text{Length}^2\\ \\\text{Diagonal}^2=4^2+7^2\\ \\\text{Diagonal}^2=16+49\\ \\\text{Diagonal}^2=65\\ \\\text{Diagonal}=\sqrt{65}\approx 8.06\ \text{inches}$

7 0

2 years ago

Instead of handing out candy like a well-adjusted person on Halloween, grumpy, anti-social Professor Sosa decides to stand on to

Likurg_2 [28]

Answer: The bag of candy corn will take 5 seconds to land on the floor and it will hit it with velocity of 49m/s.

Step-by-step explanation: A free falling object has only Gravitational Force acting on it, so acceleration will be due to gravity, which has magnitude

g = 9.8m/s².

As Professor Sosa drops the bag, its initial velocity and time are 0.

The building has a height of 400ft, so adjusting units: y = 121.92 m and $y_{0}$ = 0.