Answer:
2/3<9/10; I used 3/4 as a benchmark.
Step-by-step explanation:
2/3<1/2; I used 1/2 as a benchmark.
2/3 = 0.(20/3) = 0.667
1/2 = 0.(10/2) = 0.5
So this is wrong, as 0.667 > 0.5.
1/2=3/5; I used 1/4 as a benchmark.
1/2 = 0.(10/2) = 0.5
3/5 = 0.(30/5) = 0.6
0.5 != 0.6, so this is wrong.
2/3<9/10; I used 3/4 as a benchmark.
2/3 = 0.(20/3) = 0.667
9/10 = 0.(90/10) = 0.9
So this is correct, as 0.667 < 0.9
3/4<2/3; I used 1/2 as a benchmark.
3/4 = 0.(30/4) = 0.75
2/3 = 0.(20/3) = 0.667
0.75 > 0.667, so this is wrong.
In parallelogram LMNO,
Since line LM || line QN, same side interior angles L and O will be supplementary angles.
i.e, angle L + angle O = 180
=> x+40 + 3x = 180
=> 3x + x + 40 = 180
=> 4x + 40 = 180
=> 4x = 180-40
=> x = 140/4
=> x = 35
now,
angle O = (3x)°
= (3 × 35)°
= 105°
Answer: 244 degrees
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The formula we can use is
L = (a/360)*2*pi*r
where,
L = arc length
a = central angle in degrees
r = radius
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In this case, r = 34 and L = 145. We want to find the angle 'a'.
L = (a/360)*2*pi*r
145 = (a/360)*2*pi*34
145 = (a/360)*68pi
145*360 = a*68pi
52200 = a*68pi
a*68pi = 52200
a = 52200/(68pi)
a = 244.3496
a = 244
Answer:
f(x) = 3x² - 14x - 5
Step-by-step explanation:
multiply the factors: (x + 1/3)(x - 5)
x² - 5x + 1/3x - 5/3
x² -14/3x - 5/3
multiply by 3 to eliminate fractions:
3x² - 14x - 5
The answer is £72.
Explanation:
Decrease: (1-40%)
120 x (1-40%)
= 120 x 60/100
= 120 x 3/5
= 360/5
= £72