Angle B is an acute angle in a right angle triangle What is a reasonable approximation for angle B if the ratio for the opposite leg divided by the hypotenuse is 0.67?

42.1 degrees

Step-by-step explanation:

- since we have a opposite/hypotenuse ratio, that means we used sin x = o/h

- this means, sin x = 0.67

so, x = (0.67)  {sin inverse}

x = 42.06 degrees, i rounded it up to 42.1 but its up to you (or according to the question)

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

The answer is in the image 

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Approximately it is aqual to 1300kg

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

The answer is in the image 

The solution is given in the image below

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.