M11-2 (Algo) Computing the Number of Unissued Shares LO11-1 The balance sheet for Ronlad Corporation reported 172,000 shares outstanding, 270,000 shares authorized, and 22,000 shares in treasury stock. How many shares have been issued

194,000 shares

Explanation:

Shares are issued from the number of shares authorized. The company can then decided to repurchase some of these issued shares and make them treasury stock.

Issued shares will therefore be the sum of shares outstanding and treasury shares

= 172,000 + 22,000

= 194,000 shares

bd = 9 cm

step-by-step explanation:

in a 30°-60°-90° triangle, the ratio of side lengths is 1 : √3 : 2. that is, the longest side (hypotenuse) is twice the length of the shortest side.

all of the triangles in your geometry are 30°-60°-90° triangles. ac is the hypotenuse of δacd, and the short side of δabc.

the short side ad of δacd will be half the length of ac, so 3 cm. the hypotenuse ab of δabc will be twice the length of ac, so 12 cm. segment bd is the difference of the lengths ab and ad, so is

bd = ab -ad

bd = 12 cm - 3 cm = 9 cm

comment on side length ratios

you can figure the ratios of side lengths in a 30°-60°-90° triangle by considering the trig ratios of the angles. or you can figure the length of the altitude of an equilateral triangle of side length 2 using the pythagorean theorem.

d. the economy will face inflation.