Answer:
The amount of sales tax Joanna will pay is $3.323
Step-by-step explanation:
Given:
Cost of the backpack = $37.98
Sales tax = 8.75%
To Find:
Amount of sales tax that Joanna will pay = ?
Solution:
Sales tax imposed by the government on the goods that are sold or on the services that is provided. It is collected by the seller who sells the goods
Sales tax =
On Substituting the values
Sales tax =
sales tax =
sales tax = 3.323
Since one piece is four time the length <em>x, </em>we can represent that as 4x.
Thus making the equation:
4x+x=275
5x=275
x=55
4(55)=220
220+55=275
So, the length of the longer piece is 220 inches, and the length of the shorter piece is 55 inches.
Answer:
The tree is 15 feet tall
Step-by-step explanation:
6 feet tall - 10 feet shadow
x feet tall - 25 feet shadow
x=(25*6)/10=15 feet
Answer:
The monument is approximately 86.6 feet tall
Step-by-step explanation:
The given monument parameters are;
The distance of the person from the monument = 50 feet
The angle of depression from the top of the monument to the person's feet = 64°
Given that the angle of elevation to the top of the monument from the person's feet = The angle of depression from the top of the monument to the person's feet, we have;
tan(Angle of depression) = tan(Angle of elevation) = (The height of the monument)/(The distance from the monument)
∴ The height of the monument = tan(Angle of depression) × The distance from the monument
Substituting the known values, gives;
The height of the monument = tan(60°) × 50 ≈ 86.6
The height of the monument ≈ 86.6 feet.
The surface area formula for any sphere is 4(pi)(radius)^2
The radius is half of the diameter.
18.6 / 2 = 9.3
So, plug into the formula and solve.
4(3.14)(9.3)^2 = 1086.3 mm^2