Answer:
28.27 inches
Step-by-step explanation:
-Circumference of a circle is calculated using the formula:

#Substitute for radius in the formula to solve for C:

Hence, the plate's circumference is 28.27 inches
Answer:
L1 = 18 cm
W1 = 14 cm
A1 = 252 cm²
Step-by-step explanation:
Since the small rectangle is ½ the scale drawing of the original figure, therefore the dimensions of the smaller rectangle would be half of that of the original.
Thus:
Length (L) of the original = 36 cm
Length (L1) of the smaller rectangle = ½(36) = 18 cm
Width (W) of the original = 28 cm
Length (W1) of the smaller rectangle = ½(28) = 14 cm
Area (A1) of the smaller rectangle = L1 × W1 = 18 × 14 = 252 cm²
The "new" square must have sides of size 8
8 * 8 = 64
so the original square must have had sides of size 5cm. 8 - 3
9514 1404 393
Answer:
ΔLMN ~ ΔLFG; scale factor 7/3
Step-by-step explanation:
The ratios of side lengths, shortest to longest are ...
FG : GL : LF = 24 : 36 : 42 = 4 : 6 : 7 (reduced)
MN : NL : LM = 56 : 84 : 98 = 4 : 6 : 7 (reduced)
The side ratios are the same, so ΔLMN ~ ΔLFG. The scale factor is ...
MN/FG = 56/24 = 7/3
Answer:
0.3277 = 32.77%
Step-by-step explanation:
If we want the probability for Sasha being late after the fifth day, we need that in the first five days she is not late, which has a probability of 1 - 0.2 = 0.8
So, multiplying the probability for each day, we have that:
P = 0.8 * 0.8 * 0.8 * 0.8 * 0.8 = 0.3277 = 32.77%
So we have a probability of 32.77% that Sasha's first delay will occur after the fifth day.