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3 years ago

The length of the hypotenuse of a right triangle is 100 cm.

1 answer:

7 0

70.7cm is a possible length because in a 45 45 90 triangle, the legs can be found by dividing 100 by square root 2. In a 30 60 90 triangle, the legs could be 50cm and 86.6cm and we get that because first we can divide 100 by 2 which equals 50 and then taking 50 and multiplying that by square root of 3 to get 86.6. This is according to the rules of the triangles. The answer is 70.7cm, 50cm, and 86.6cm

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In ABC, O is the centroid of the triangle and AO is 12.7 m. Find the length of OY and AY.

ratelena [41]

Answer:

$\boxed{OY = 6.35 m} \\\boxed{AY=19.05 m}$

Step-by-step explanation:

The centroid of a triangle always cuts a triangle perfectly at 2/3.

What I mean by this is that the line that touches the tip of the triangle and touches the median of the base is cut into one third and its other part is cut into two thirds of the whole segment. This segment is AY.

Knowing this, I can tell that OY is 1/3 of the length of AO, which is given to be 12.7 m.

To find OY, make an equation where AO and OY add up to AY.

$12.7+\frac{1}{3} x=x$

The variable x represents the length of AY, and 1/3x represents the length of OY (because it is one-third of AY).

Solve the equation by subtracting 1/3x from both sides.

$12.7=\frac{2}{3} x$

Divide both sides by 2/3.

$x=19.05$

Now we know the length of AY (x). To find the length of OY substitute this value of x into 1/3x, which represents OY.

$\frac{1}{3} (19.05)$

This gives us 6.35, which is the length of OY.

The final answers are:

OY = 6.35 m
AY = 19.05 m

3 0

3 years ago

What would your body temperature be if you had a fever?

pickupchik [31]

D because your body is the same but lowers because the ground mostly has more moist which gets wet and makes you colder. So yes, it’s d

6 0

3 years ago

Read 2 more answers

Is 0.23 a rational number? choose the best explanation

Delvig [45]

Answer:

Yes it is a rational number. (There are no explanations)

Step-by-step explanation:

8 0

3 years ago

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Where is the hole for the following function located?

Nikitich [7]

It would seem to be a good idea to cancel the (x + 3) factors to get f(x) = 1/(x - 4)
This is a hyperbolic graph with a vertical asymptote at x = 4.
However when x = -3 the factor (x + 3) = 0 so cannot be cancelled at this point. 0/0 is undefined.
The graph is drawn leaving a hole in the line at x = -3
The limits as we approach x = -3 from above or below that point get closer and closer to -1/7

The correct answer is A

7 0

3 years ago

What is the measure of B, in degrees?<br> A. 160<br> B. Cannot be determined<br> C. 74°<br> D. 329

Luden [163]

Answer:

32°

Step-by-step explanation:

The triangle ABC is a isosceles so angle A = angle C

The sum of interior angles in a triangle is = 180°

74 + 74 + angle B = 180

B = 32°

3 0

4 years ago

Read 2 more answers