Answer:
Image below
Step-by-step explanation:
<em>Given: Side lengths of a right triangle 3,4 and 5 units.
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To draw: A right triangle with the given side length.
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Solution:
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We know, in a right angle triangle hypotenuse is the longest side and satisfying Pythagoras theorem.
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From the given side length,
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Hypotenuse = 5 unit
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We can take any of the base and perpendicular.
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Let, Base = 3 unit
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Perpendicular = 4 unit.
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It a right-angle triangle with a hypotenuse 5 unit.
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Now we draw a right angle triangle taking in the first 3 base and 4 perpendicular and second 3 perpendicular and 4 bases.</em>
Answer:
0.985
Step-by-step explanation:
You can do 1 - 0.015 to solve this problem.
1 - 0.015 = 0.985
Hope that helps!
Answer:
4 cookies
Step-by-step explanation:
1/3 of 12 is 4 so her son ate 4 cookies, your welcome
Important: Use the symbol "^" to denote exponentiation:
<span>x3 – 9x2 + 5x – 45 NO
</span><span>x^3 – 9x^2 + 5x – 45 YES
Look at the first 2 terms. They can be rewritten as x^2(x-9). Then look at the last 2 terms. They can be rewritten as 5(x-9). So, x-9 is the common factor here. Thus, the original expression becomes:
(x^2-5)(x-9).
Note that x^2-5 can be factored, so that the final 3 factors are:
(x-sqrt(5)), (x+sqrt(5)), (x-9).</span>
Answer:
The value of a is 80
Step-by-step explanation:
The distance of a point 
from the y-axis can be written as 
because the x-coordinate of the y-axis is zero.
Similarly, the distance of a point from the x-axis can be written as 
since the y-coordinate of the x-axis is zero.
In this problem:
- The distance of the point A (−30, −45) from the y-axis can be written as
- The distance of point B (5a,2a) from the x-axis can be written as
Since 
We are told that 2/3 of the distance from the y-axis to point A (−30, −45) is equal to 1/4 of the distance from the x-axis to point B(a, a), which means
Therefore,
And solving for a,
