The area of triangle abc is 95 square feet. what is the value of b, to the nearest foot?
a) 7 ft
b) 8 ft
c) 13 ft
d) 16 ft

D

Step-by-step explanation:

The area (A) of a triangle is calculated using

A = 0.5 absinC

Here a = 13 and ∠C = 65°, hence

A = 0.5 × 13 × b × sin65° = 95, that is

6.5b × sin65° = 95 ( divide both sides by 6.5sin65° )

b = ≈ 16 ft ( to the nearest foot )

1 x=22.52

2: 65/39=604+39x

65x-39x=604

26x=604

x=604/26

×=23.23

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.