;
2 × 5 × sin( π / 12 ) = 10 × sin ( π / 12 ) ;
π/12 = ( 180° ) / 12 = 15°.
<span>
But, sin ( π/12 ) </span>
<span>= sin 15° </span>
<span>= sin ( 45° - 30°) </span>
<span>= sin 45°· cos 30° - cos 45°· sin 30° </span>
<span>= (1/√2)·(√3 /2 ) - (1/√2)·(1/2) </span>
<span>= ( √3 - 1 ) / (2√2) = </span>
;
Finally, ( 2.5 ) × ( 2.4 - 1.4 ) = 2.5 cm ;
Answer:
Inequality: x + 4 ≥ 12
Solution: x ≥ 8
Step-by-step explanation:
<u>Plus</u>: "+" → to add something to something else
<u>Greater than or equal to</u>: "≥" → the expression on the left side of the inequality sign is greater than the expression on the right side of the sign.
Let x be the unknown number.
A number plus four is greater than or equal to twelve:
x + 4 ≥ 12
To solve the found inequality, subtract 4 from both sides:
⇒ x + 4 - 4 ≥ 12 - 4
⇒ x ≥ 8
Therefore, the solution to the inequality is x ≥ 8. The unknown number x can be any real number equal to or greater than 8.
Answer: the first option
Step-by-step explanation:
If y=2x+4 and y also equals 3x+1, then by the transitive property, 2x+4=3x+1
It’s like saying if a=b and b=c, then a=c (that’s the transitive property)
Answer:
<u>Use cross-multiplication to solve these</u>
- 1) 6/2 = 4/p ⇒ 6p = 4*2 ⇒ p = 8/6 ⇒ p = 4/3
- 2) 4/k = 8/2 ⇒ 8k = 2*4 ⇒ k = 8/8 ⇒ k = 1
- 3) n/4 = 8/7 ⇒ n = 4*8/7 ⇒ n = 32/7
- 4) 5/3 = x/4 ⇒ x = 4*5/3 ⇒ x = 20/3
Answer:
the answer is x ≤ 2
Step-by-step explanation:
very easy