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Kipish [7]
2 years ago
13

Been stuck on this for the last 2minetus

Mathematics
1 answer:
labwork [276]2 years ago
7 0

Answer:

?=2

Step-by-step explanation: ( i think btw...)

you can multiply 16 by 1/2 to get 8.

multiplying by a fraction with a numerator of 1 is essentially the same as dividing by the whole number denominator.

that solves that question.

then, you see how 16 and 4 are related. 16/4=4

soooo, do 8/4=2

this would make sense since you are multiplying by 1/2 to understand the 8&16 values

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An acute triangle has sides measuring 10 cm and 16 cm. The length of the third side is unknown.
saveliy_v [14]

Answer: Choice B

12.5 < x < 18.9

================================================

Explanation:

We have a triangle with these side lengths:

  • a = 10
  • b = 16
  • c = x = unknown

Let's assume that b = 16 is the largest side of this triangle.

By the converse of the pythagorean theorem, we need b^2 < a^2+c^2 to be true in order for an acute triangle to happen.

So,

b^2 < a^2 + c^2\\\\c^2 > b^2 - a^2\\\\c > \sqrt{b^2-a^2}\\\\x > \sqrt{16^2-10^2}\\\\x > \sqrt{156}\\\\x > 12.4899959967968 \ \text{(approximate)}\\\\x > 12.5

Now let's consider the possibility that the missing side x is actually the longest side.

Using the same theorem as before, we would say,

c^2 < a^2 + b^2\\\\c < \sqrt{a^2 + b^2}\\\\x < \sqrt{10^2 + 16^2}\\\\x < \sqrt{356}\\\\x < 18.8679622641132 \ \text{(approximate)}\\\\x < 18.9\\\\

We found that x > 12.5 and x < 18.9

This is the same as saying 12.5 < x and x < 18.9

Put together, they form the approximate answer of 12.5 < x < 18.9

6 0
2 years ago
Four balls of wool will make 8 knitted caps. How many balls of wool will Malcom need if he wants to make 6 caps
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8x = 4
x = 1/2

6(1/2) = 3 caps

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3 years ago
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GenaCL600 [577]
<em /><u><em /></u>I think that both lines will show only 1 line because 1 line will be on top of the other. I believe this because both lines are dilated with its center at point O which does not lie on line n. Whatever dilation Andre uses may also be the dilation used by Becca since their lines centered at point O. Both lines will have the same slope and share the same coordinates.
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Mandarinka [93]

Step-by-step explanation:

1)

In a right triangle longest side is hypotenuse and the remaining two sides represent the perpendicular legs.

Hence, from the given question it is obvious that 25 is hypotenuse and 20 and 15 are perpendicular legs.

Now, by Pythagorean theorem:

(one\: side) ^2 +(other \: side) ^2 = (hypotenuse) ^2 \\\\\therefore 20^2 +15^2 =25^2

2)

Because all right triangles have one hypotenuse and two perpendicular legs.

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