;
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:
Step-by-step explanation:
First let's re-write the equation:
f(x) = 3x² - 5x + 4
If f(-2). then we can re-write the equation as:
f(-2) = 3(-2)² - 5(-2) + 4
We must solve for exponent first: (-2)² = 4
f(-2) = 3(4) - 5(-2) + 4
Then solve for multiplication:
f(-2) = 12 + 10 + 4
Finally addition:
f(-2) = 26
that means that in a function, if X = -2, then F is equal to 26
Answer:
Y = 21 [Small number].
X = 32 [Big number].
Step-by-step explanation:
Answer:
y = (-3/4)x - 4
Step-by-step explanation:
The slopes of perpendicular lines are opposite reciprocals of each other. In other words, if the slope of one line is a/b, then the slope of the line perpendicular to it would be -b/a.
Here, the given slope is 4/3, so the slope of the perpendicular line is -3/4.
We are given a point (-4, -1) and we know the slope, so we can find the point-slope form of the line. Point-slope form is written as y - y1 = m(x - x1), where (x1,y1) is the point and m is the slope. Here, x1 = -4 and y1 = -1 and m = -3/4. So:
y - y1 = m(x - x1)
y - (-1) = (-3/4) * (x - (-4)) = (-3/4) * (x + 4)
y + 1 = (-3/4)x + (-3/4) * 4 = (-3/4)x - 3
y = (-3/4)x - 3 - 1
y = (-3/4)x - 4
1) 2x+14=x+18
2x=x+4
x=4
2) 9y-2=3y+10
9y=3y+12
6y=12
y=2
3) 2*(2[4]+14) + (9[2]-2)
4) 32/2=16
5) 11*2=22