Answer:
Number of self-Help books sold = 252 books
Step-by-step explanation:
Total books sold last week = 1,125
Central angle for the Self-Help slice = 80.64°
Total angle in a circle = 360°
How many of the books sold were Self-Help books?
Number of self-Help books sold =
Central angle for the Self-Help slice / Total angle in a circle × total number of books sold
= 80.64° / 360° × 1,125
= 0.224 × 1,125
= 252
Number of self-Help books sold = 252 books
Answer:
is this a true or false question? If so, it's false. To add or subtract, the bases have to match, not the exponents.
Step-by-step explanation:
Let us plug in 1 for z. Now we can solve both expressions. 4+3(2x1-5) and 2(3x1-4) and we get that the first expression is equal to -5, and the second expression is equal to -2. So the expression 4+3(2z-5) represents a number that is less than 2(3z-4).
Answer:
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that ...
Sin = Opposite/Hypotenuse
In ΔAHD, the side opposite angle DAH is DH, and the hypotenuse is AD, so we have ...
sin(∠DAH) = DH/AD = 4/8
∠DAH = arcsin(4/8) = 30°
That makes ΔAHD a 30°-60°-90° triangle, so the side lengths have the ratios 1 : √3 : 2.
∠CAB = 2·30° = 60°, so ΔABC is also a 30°-60°-90° triangle having the same ratios of side lengths.
In short, ...
AH = √3·DH = 4√3
AC = 2·AH = 8√3
AB = 2·AC = 16√3
BC = √3·AC = 8·(√3)² = 24