Answer:
b
Step-by-step explanation:
Answer:
$80.75 dollars
Step-by-step explanation:
Given the following question:
Initial price = $95
15% discount
In order to find the answer, we have to find 15% of 95.



The guitar (after a 15% discount) costs "$80.75 dollars."
Hope this helps.
Answer:
C. 905 in³
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, sphere
We know that the volume of a sphere is expresses as
V= 4/3πr³
Given that the diameter of the sphere is 12inches
Radius r= 12/2= 6 inches
Substituting our radius we can solve for the volume
V=4/3(3.142*6³)
V= (4*3.142*216)/3
V= 2714.68/3
V= 904.9in³
Approximately V= 905in³
Answer:

Step-by-step explanation:
We are asked to find the length of a segment or the <em>distance</em> between the 2 points. The formula for distance is:

where (x₁ y₁) and (x₂, y₂) are the points. We are given the points ( -5, 4) and (6, -3). If we match the number and the corresponding variable, it is:
- x₁= -5
- y₁= 4
- x₂= 6
- y₂ = -3
Substitute the values into the formula.

Solve inside the parentheses.
- 6--5 (Back to back negative signs become a positive)= 6+5 =11
- -3-4= -7

Solve the exponents.
- (11)²= 11*11= 121
- (-7)²= -7*-7= 49

Add.


Even though it's not specified, we could round to the nearest hundredth to make the answer more concise. The 8 in the thousandth place tells us to round the 3 to a 4 in the hundredth place.

The length of the segment is <u>√170</u> or approximately <u>13.04. </u>
Answer:
5 units
Step-by-step explanation:
3x + 4y = 8
4y = -3x+8
y = -3/4+2
The shortest distance between a point and a line is the perpendicular line.
Slope of the perpendicular line: 4/3 and point (-3,-2)
b = -2-(4/3)(-3) = 2
Equation of the perpendicular line: y=4/3x+2
y is equal y
4/3x+2= -3/4x+2
4/3x +3/4x = 2-2
x = 0
Plug x=0 into one of the equations to find y
y = 4/3(0) + 2
y = 2
(0,2) and (-3,-2)
Distance = sqrt [(-3-0)^2 + (-2-2)^2]
Sqrt (-3)^2+ (-4)^2
Sqrt 25 = 5