Step-by-step explanation:
Angle C must = [180 - 73 - 57 ] = [180 - 130] = 50°
And using rhw Law if Sines, we have.....
AB/sin C = AC/sin B → 24/sin(50) = AC/sin(73) → AC = 24*sin(73)/sin(50) = about 29.96 in
Answer:
17 cubes
Step-by-step explanation:
first we do the volume of the rectangular prism to get 135/64.then we do the area of the cube to get 1/8 and now to get how many cubes it fills the prism. 135/64 divide by 1/8 you get 16.8 round off you get 17
Answer:
Step-by-step explanation:
We can use basic probability to find the probability that this roll is not a factor of 35.
First off, we know that with a six sided die there are 6 possible things we can roll.
1, 2, 3, 4, 5, or 6
Now, what are the factors of 35? The factors of 35 will be any whole number that can be multiplied by another whole number to get 35.
- We know
, so two factors are 1 and 35. - We know
, so two factors are 5 and 7.
Therefore, the factors of 35 are 1, 5, 7, 35.
Both 5 and 7 are inside the range of 1-6. So the probability of rolling a side that's a factor of 35 will be 
since there are two factors and 6 possible options.
This means, logically, there is a 
chance of not rolling a factor of 35.
Hope this helped!
Hey!
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Question Explanation:
In other words you can write 200,00 using a whole number and a power 10 using scientific notation!
In scientific notation you want a number less than 10 multiplied by 10 to the power of a number.
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Solution:
200,000 / 10 = 20,000
20,000 / 10 = 2,000
2,000 / 10 = 200
200 / 10 = 20
20 / 10 = 2
I divided 200,000 by 10 five times to get a number less than 10.
So, 5 is going to be the exponent.
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Answer:
2 x 10^5
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Hope This Helped! Good Luck!
<h3>☂︎ Answer :- </h3>
<h3>☂︎ Solution :- </h3>
- LCM of 5 , 18 , 25 and 27 = 2 × 3³ × 5²
- 2 and 3 have odd powers . To get a perfect square, we need to make the powers of 2 and 3 even . The powers of 5 is already even .
In other words , the LCM of 5 , 18 , 25 and 27 can be made a perfect square if it is multiplied by 2 × 3 .
The least perfect square greater that the LCM ,
☞︎︎︎ 2 × 3³ × 5² × 2 × 3
☞︎︎︎ 2² × 3⁴ × 5²
☞︎︎︎ 4 × 81 × 85
☞︎︎︎ 100 × 81
☞︎︎︎ 8100
8100 is the least perfect square which is exactly divisible by each of the numbers 5 , 18 , 25 , 27 .
