Step 1: Group this into two groups:
When you do that, be sure to group the "–" into the group with the 9 and make sure there's "+" between the groups.
Step 2: Factor out the GCF from both individual groups:
Step 3: Notice both groups have that (h+2)? That's a new GCF between the two groups, so factor that out:
Step 4: That piece can be factored further, since it's a difference of squares:
Now it's factored.
Solution-
Capacity of the spherical tank = 800 gallons.
1 gallon = 0.1337 ft³,
Volume of 800 gallons = 800 × 0.1337 = 106.96 ft³
Formula for the volume of sphere
Equating both the volumes
⇒ = 106.96
⇒ = 25.53
⇒
⇒ r = 2.94
∴ Radius of the sphere is 2.94 ft
Answer:
Step-by-step explanation:
This car follows a line, hence its motion can be modeled by the Line equation.
In fact, we already have two points of the line, if we call the time in hours and
the traveled distance in miles:
Point 1:
Since we are told the car's initial position is 300 miles in the time 0 h
Point 2:
Since we are told the car's final position is 180 miles after 3h
<u />
<u>Let's find the Slope :
</u>
This is the slope of the line
Now, the equation of the line is:
We already know the slope, now we have to find the intersection point with the y-axis () with any of the given points. Let's choose Point 1:
Isolating :
Then, the equation of the line is:
Given that the length of one leg is 6 and the angle is 40°
The hypotenuse is x.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trigonometric ratio.
Thus, we have;
Substituting the values, we get;
Simplifying, we have;
Dividing, we get;
Therefore, the value of x is 7.83(app.)
Hence, Option A is the correct answer.