Answer:
x = √(10)/2
Step-by-step explanation:
Here, we want to get the measure of the side marked x
what we have is an isosceles right triangle since the two acute angles of the right triangle are 45 degrees each
Hence, the other last side will measure x too
Mathematically, according to Pythagoras’; the square of the hypotenuse equals the sum of the squares of the two other sides
Thus;
x^2 + x^2 = (√5)^2
2x^2 = 5
x^2 = 5/2
x = √(5/2)
x = √5/√2
Rationalizing the denominator;
x = (√2 * √5)/(√2 * √2)
x = √10/2
Answer:
The correct answer is option A. r
Step-by-step explanation:
From the figure we can see a circle and a parallelogram.
The circle is divided into a small sectors and these sector then arranged into a parallelogram.
The base of the parallelogram is half the circumference.
The height of parallelogram is equal to the radius of the given circle. Here radius is 'r'.
Therefore the correct answer is option A. r
The answer to this is the third option choice: Reaches a maximum height of 549 after 5.75 seconds.
48= l*w
l= 8+w
To solve for width, substitute the value of l in the first equation so that everything is in terms of w.
Final answer: 48= (8+w)*w
<u>Solution</u> :
Let, the number be A
Given, A/2 + 12 = 6
⇒ (A + 24)/2 = 6
⇒ A + 24 = 12
⇒ A = 12 - 24
⇒ A = - 12
∴ the required number is (- 12). (Ans.)