Answer:
a. 90°
b. 180°
c. 180°
Step-by-step explanation:
For these problems there is a bit of a shortcut you can take. Each figure is entirely within one quadrant, and the rotation is said to be by 90° (one quadrant), 180° (two quadrants), or 270° (three quadrants) clockwise.
a. The image is in the adjacent clockwise quadrant, so rotation is 90°.
b, c. The image is in the diagonally opposite quadrant, so rotation is 180°.
<span> The place value
relationship of 0.5 and 0.05 in the given number
=> 0.5 and 0.05 are decimal numbers because they are place next to the
decimal points.
=> 0.5 placed next to decimal point is tenths and 0.05 is in hundredths.
Now, what’s the relation of both numbers?
=> 0.5 is 10 times greater than 0.05
=> How? Let’s try solving it
= 0.5 = 5/10
=> 0.05 = 5/100
=> 0.05 x 10 = 0.5
=> 0.5 + 0.05 = 0.55
</span>
Answer:
84 Percentage increase
Step-by-step explanation:
Detailed calculations & verification
Introduction. Percent, p%
'Percent (%)' means 'out of one hundred':
p% = p 'out of one hundred',
p% is read p 'percent',
p% = p/100 = p ÷ 100.
40% = 40/100 = 40 ÷ 100 = 0.4.
100% = 100/100 = 100 ÷ 100 = 1.
Increase the number by 40% of its value.
Percentage increase = 40% × 210
New value = 210 + Percentage increase
Calculate the New Value
New value =
210 + Percentage increase =
210 + (40% × 210) =
210 + 40% × 210 =
(1 + 40%) × 210 =
(100% + 40%) × 210 =
140% × 210 =
140 ÷ 100 × 210 =
140 × 210 ÷ 100 =
29,400 ÷ 100 =
294
Calculate absolute change (actual difference)
Absolute change (actual difference) =
New value - 210 =
294 - 210 =
84
Three A grows 1 meter in 110/45 = 2.44 years;
Three B grows 1 meter in 1840/110 = 16.72 years;
Because 2.44 < 16.73, the tree A grows faster than tree B.
