Answer:
19.5 in²
Step-by-step explanation:
A applicable formula for the area of the smaller triangle is ...
A = (1/2)ab·sin(C) . . . . where a, b are the given sides and C is the angle between them.
The side lengths are 3 in and 13 in, so the area is ...
A = (1/2)(3 in)(13 in)sin(C) = (19.5 in²)sin(C)
The sine function is a maximum at C=90°, at which angle it has the value 1. So, the maximum area is that of a right triangle of sides lengths 3 and 13 inches.
The maximum area is 19.5 in².
A general equation of a linear function is expressed as y = mx + b where m represents the slope and b is the y-intercept. The slope is the rate of change of y with respect x which is equal to 4 for this problem. The y-intercept represents the value when x is equal to zero. It is the initial value of y. In this case, it is equal to $1,000. The linear equation would be:
y = 4x + 1000
assuming y is the income and x is the consumption.
At an income (y) equal to $20,000, we can calculate for the consumption.
20000 = 4x + 1000
19000 = 4x
x = 4750
Here we are looking for the percentage of beads out of the total that Paco received that were orange.
The total number of beads Paco received is equal to orange + the different color. 45 + 5 = 50 total beads
Then, we'll need to create a fraction for the number of orange beads Paco received over the total number of beads. 45 / 50
Lastly, we can use our calculator to find a decimal number for the proportion of orange beads. 0.90
Multiply 0.90 by 100 to get the percentage. 90% orange beads
Hope this helps!! :)
The answer would be: 0.5L
This question can be solved using the ideal gas formula PV=nRT where
P= pressure
V= volume
n= number of molecule
R= constant
T= temperature
In this question, the temperature and number of the particle are not changed. The pressure is changed to twice amount. Since the pressure is inversely related to the volume, the volume should become half of the original.
PV=nRT
V=nRT/P
V1/V2= (nRT/P1)/(nRT/P2)
V1/V2= (1/270)/(1/540)
V1/V2= (1/1)/(1/2)
V1/V2 = 2
V1= 2V2
1L= 2V2
V2= 1/2 L
Answer:
We cannot answer this question because there isn't a line plot for us to drag the data onto.
