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Feliz [49]
1 year ago
10

Geometry question! Help!

Mathematics
1 answer:
Karolina [17]1 year ago
8 0

Answer: 2\sqrt{2}

Step-by-step explanation:

The inradius is given by the area of the triangle divided by the semiperimeter.

The semiperimeter is \frac{12+12+8}{2}=16.

Thus, by Heron's formula, the area is \sqrt{16(16-12)(16-12)(16-8)}=32\sqrt{2}.

Therefore, the radius is \frac{32\sqrt{2}}{16}=2\sqrt{2}}

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Given that LON is a right angle, find the measure of x.​
sveta [45]

Answer:

x=30\°

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

m∠LOM+m∠MON=m∠LON ----> by angle addition postulate

we have

m∠LOM=2x°

m∠MON=x°

m∠LON=90° ----> is a right angle

substitute the values

2x+x=90

solve for x

3x=90

x=30\°

4 0
3 years ago
Helloo! please quick help with this it’s super simple
lorasvet [3.4K]

Answer:

1

Step-by-step explanation:

\bigg(3 {w}^{4}  {z}^{3} m \bigg) ^{0}  \\  =  {3}^{0}  \times {w}^{4 \times 0}  \times  {z}^{3 \times 0}  \times  {m}^{0}  \\ =  {3}^{0}  \times {w}^{0}  \times  {z}^{0}  \times  {m}^{0}  \\  = 1 \times 1 \times 1 \times 1.. ( \because {a}^{0 }  = 1) \\  = 1 \\  \therefore \:  \bigg(3 {w}^{4}  {z}^{3} m \bigg) ^{0}  = 1

6 0
3 years ago
Read 2 more answers
An ordinary fair die is a cube with the numbers one through six on the sides represented by painted that. Imagine that such a di
Solnce55 [7]

Answer:

ok so what i think your trying to ask is if we roll two dice that the sum will be more then 6

Two dice

Assuming that the dice are unbiased or not " loaded".

Each side has the same probability, is 1/6 =0.16667, to turn up when rolled, if the die (D) is unbiased. The probability of a side turning up on D1 when 2 dice ( D1,D2) are rolled, is independent of the side turning up in D2. So this is an independent event.

How many ways can one get a sum total of 6 if D1 &D2 are rolled at the same time?

These are the possibilities

Case 1.

D1 =1 & D2=5

Or

D1= 5 & D2=1

Case 2.

D1 =2 & D2=4

Or

D1= 4 & D2= 2

Case 3. D1=3, D2=3

P3 =0.027778

Let's say, P 1 the probability for case 1 and P2 for case 2. There are no other cases.

The final probability P and is the sum total P = P1 + P2 + P3 the probability law of mutually exclusive events.

P1= 0.02778+ 0.02778 =0.055558

P2= 0.02778+0.02778 =0.055558

Same way,

P3=0.027778, when there is only one way to get the sum 6.

So, P = 0.138894

Based on truncating at the sixth decimal place.

A visual representation with two unbiased dice and the possible cases would also give the same result and is a short cut method. I like to derive from the basics.

Hope This Helps!!!

6 0
2 years ago
Does anyone know this?
Step2247 [10]

Answer:

I think the answer is A but I am not for sure

Step-by-step explanation:

7 0
3 years ago
Maria spend 5 hours studying and earned a 90 on her exam. If you want to score a 81, how much time do you need to spend studying
Oliga [24]

Answer:

4hrs 30 mins

Step-by-step explanation:

5hrs-90

x-81

cross multiplying gives us

405-90x then dividing through made x=4.5 which is = 4hrs 30mins

7 0
3 years ago
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