Answer:
v = 0.58
Step-by-step explanation:
-22 - 7v = -3(8v + 4)
Expand -3(8v + 4)
3 * 8v - 3 * 4
Simplify -3 * 8v -3 * 4
= -24v - 12
-22 - 7v = -24v - 12
Add 22 to both sides
-7v = -24v +10
Add 24v to both sides
17v = 10
Answer:
Answer: the vase contains 1017.36 inches³ of soil.
Step-by-step explanation:
We would apply thee formula for determining the volume of a cylinder which is expressed as
Volume = πr²h
Where
h represents the height of the cylinder
r represents the radius of the cylinder.
π is a constant whose value is 3.14
From the information given
Diameter = 12 inches
Radius = diameter /2 = 12/2
Radius = 6 inches
Height = 12 inches
Therefore,
Volume of the cylindrical vase =
3.14 × 6² × 12 = 1356.48 inches³
If the vase is filled 3/4 full of soil, then the volume of soil in the vase is
3/4 × 1356.48 = 1017.36 inches³
Answer: 5.9 cm for both triangles.
Step-by-step explanation:
Hi, since the situation forms 2 right triangles we have to apply the Pythagorean Theorem:
c^2 = a^2 + b^2
Where c is the hypotenuse of a triangle (the longest side of the triangle) and a and b are the other sides.
Replacing with the values given:
c^2 = 3^2 + 5^2
c^2 = 9+25
c^2 = 34
c = √34
c = 5.9 cm
Since both triangles are identical ( same side lengths) the hypotenuse is the same for both, 5.9 cm.
Feel free to ask for more if needed or if you did not understand something.
Answer:
18
Step-by-step explanation:
10-4+6(4-2)
10-4+6(2)
10-4+12
6+12
=18
