If the length of the shorter leg of a right triangle is 5 cm and the length of the hypotenuse is 13 m, find the length of the longer leg. A.) 5 cm
B.) 12 cm
C.) 13 cm
D.) v102 cm

2 cm (Answer B)

Step-by-step explanation:

This is a right triangle, and therefore the Pythagorean Theorem applies:

(shorter leg)² + (longer leg)² = (hypotenuse)²

In this case, (longer leg)² = (hypotenuse)² - (shorter leg)², or

(longer leg)² = (13 cm)² - (5 cm)², or:

(longer leg)² = 169 cm² - (25 cm²) = 144 cm²

The length of the longer leg is the square root of 144 cm², or 12 cm (Answer B)

im here

step-by-step explanation:

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.