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2 years ago

Find x. 6.5 cm x 2.5 cm Y= cm

Mathematics

1 answer:

Talja [164]2 years ago

6 0

9514 1404 393

Answer:

x = 6.0 cm

Step-by-step explanation:

The ratio of the given dimensions is 2.5/6.5 = 5/13. This should give you a clue that the dimensions here are all half those of the (5, 12, 13) Pythagorean triple. That is, ...

x = 12/2 = 6 . . . cm

In case you haven't memorized a few of the Pythagorean triples commonly used in algebra problems*, you can figure x using the Pythagorean theorem:

6.5² = 2.5² +x²

42.25 -6.25 = x²

x = √36 = 6

x = 6.0 cm

_____

* most commonly seen are (3, 4, 5), (5, 12, 13), (7, 40, 41) and their multiples.

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Write a two point slope equations for the line passing through the points 6,5 and 3,1

Gwar [14]

The 2-point form of the equation of a line can be written as ...

... y = (y2-y1)/(x2-x1)·(x -x1) +y1

For your points, this is ...

... y = (1-5)/(3-6)·(x -6) +5

... y = (4/3)(x -6) +5

It can also be written as

... y -5 = (4/3)(x -6)

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3 years ago

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I really need help with this its past due

zloy xaker [14]

Sorry but grade math is this so I can have a better understanding

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2 years ago

Does anyone know how to do this?

Lena [83]

Answer:

Each guest would get 6 party favors.

Step-by-step explanation:

First, we find out how many party favors Amy bought. 3 bags of 12 party favors equals 36 party favors (3x12)

So, divide 36 party favors by 6 guests, and you get the final answer of 6 party favors per guest.

Hope this helps!!

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2 years ago

Can somebody who knows how to do probability please help answer these questions correctly? Thanks! (Btw the P= probability)

stira [4]

Answer:

P(2): 1/5

P(4): 1/5

P(odd number): 3/5

P(whole number): 5/5

P(6): 0/5

P(2 or 3): 2/5

Step-by-step explanation:

There are 5 <em>equal </em>sections in this circle. So, the probability to land in each section is 1/5.

The odd numbers are 1, 3, and 5. Since each section is 1/5, you add

1/5 + 1/5 + 1/5 = 3/5. That is the probability that you will land in any odd number.

Because all the numbers listed are whole numbers, no matter where the spinner lands it will be a whole number. So, the probability is 5/5 for whole numbers.

Since 6 is not a section, it's probability will be 0/5 (or you can just put 0).

"Or" means you add the two probabilities. Add the probability of landing on 3 (which is 1/5) to the probability of landing on 2 (which is also 1/5). So, you get 2/5.

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2 years ago

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In ΔABC, AC = BC, CD ⊥ AB with D ∈ AB , AB = 4 in, and CD = sqrt3 in. Find AC.

amid [387]

Check the picture below.

segments AC and BC are equal, that means that ABC is an isosceles triangle, with twin sides. Now the twin sides make twin angles on the opposite side, namely the angles at A and B are twins.

if the angles at A and B are twins, and CD is ⟂ to AB, there's only one possibility that can happen, and is if CD is an angle bisector at C.

an angle bisector like CD with twin angles on each side, will cut AB in two equal halves, therefore, if AB = 4, then AD = 2 and DB = 2.

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2 years ago