2/5 x 0.22 = (2 x 0.22)/5 = 0.44/5 = 0.088 = 11/125
![\large{\underline{\underline{\red{\tt{\purple{\leadsto } SolutioN:-}}}}}](https://tex.z-dn.net/?f=%5Clarge%7B%5Cunderline%7B%5Cunderline%7B%5Cred%7B%5Ctt%7B%5Cpurple%7B%5Cleadsto%20%7D%20SolutioN%3A-%7D%7D%7D%7D%7D)
Here we are asked to find the smallest number which must be multiplied to 240 to make it a perfect square .
So , lets do prime factorisation of 240 .
Here , 240 = 2 × 120 .
= 2 × 2 × 60.
= 2 × 2 × 2 × 30.
= 2 × 2 × 2 × 2 × 3 × 5 .
Hence we got 240 = 2⁴ × 3¹ × 5¹ .
Now here we can see that , in order to make a perfect square it should be multiplied by 3 × 5 = 15 in order to make power of prime factors even .
![\boxed{\green{\bf{\dag Hence\: Required\: Number\:is\:15.}}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cgreen%7B%5Cbf%7B%5Cdag%20Hence%5C%3A%20Required%5C%3A%20Number%5C%3Ais%5C%3A15.%7D%7D%7D)
Answer:
B. 2(x+2)(x+1)
Step-by-step explanation:
Answer:
176 hours
Step-by-step explanation:
They work 176 hours because
22*8=176
The interior angles of any triangle must add up to 180° in measure. Right angles have measure 90°, so the missing angles in both triangles here have measure 45°.
In a 45°-45°-90° triangle, the legs and hypotenuse occur in a ratio of 1 : √2. This means
(1) <em>x</em> = 48 √2
(2) 88 = √2 <em>x</em> → <em>x</em> = 88 / √2 = 44 √2
You could also set up trigonometric equations to solve for <em>x</em> in each case:
(1) cos(45°) = 48 / <em>x</em> → <em>x</em> = 48 / cos(45°) = 48 / (1 / √2) = 48 √2
(2) cos(45°) = <em>x</em> / 88 → <em>x</em> = 88 cos(45°) = 88 (1 / √2) = 44 √2