Answer:
$450
Step-by-step explanation:
AB = ==> distance between the bottom of the plank; and the wall ===> 3 ft.
C ====> 49 degrees
For letter a, to solve for AC:
AC ==> HYPOTENUSE. The angle C is the OPPOSITE side of AB.
use sine :
sin A ===> opposite/hypotenuse
Solve:
sin 49 ====> 3/AC
AC ====> 3 / sin 49
AC ====> 3.96 ft.
For letter b, to solve for BC:
We are now given with the base (3 ft.); and; the hypotenuse (3.96 ft.) so we can use the Pythagorean theorem:
a^2 + b^2 = c^2
Let:
a ===> AB
b ===> BC
c ===> AC
(AB)^2 + (BC)^2 ===> (AC)^2
3^2 + (BC)^2 ===> (3.96)^2
(BC)^2 ===> (3.96)^2 - 3^2
(BC)^2 ===> 6.6816
sqrt (BC)^2 ===> sqrt 6.6816
Answer: BC ===> 2.58 ft.
Hope that helps!!!! : )
Answer:
A. Randomly select the sample in the lobby of the building so workers who do not enter the cafeteria can be included.
Step-by-step explanation:
A. Finding the slope
The slope of the function is simply the ratio of the value
of the dependent variable over the independent variable, so in this case it is:
slope = 6/ 3 = 2
B. Finding the y – intercept
The y – intercept is simply the value of the dependent
variable when the independent variable is equal to zero, therefore:
y – intercept (b) = 4
C. Finding the function of the graph
The general equation of a line is given as:
y = m x + b
where m is the slope and b is the y intercept therefore:
y = 2 x + 4
D. Finding the x – intercept
The x – intercept is simply the value of the independent
variable (x) when the dependent variable (y) is equal to zero, therefore:
0 = 2 x + 4
x = - 2
E. Graph the function
<span>Check out the image attached</span>
Answer:
The first bottle has 4 pints or 8 cups or 2 quarts. The seconds has 1.25 quarts or 5 cups or 2 1/2 pints. The one with 4 pints would have more so it would be a better deal.
Step-by-step explanation: