Answer:
B. 8.6 cm
Step-by-step explanation:
⅓*πr²h = Volume formula of a cone (V)
Volume of cone (V) = 225 cm³
diameter of cone (d) = 10 cm
radius of cone (r) = ½(10) = 5 cm
height (h) = ?
Plug in the values into the equation and solve for h
⅓ × π × 5² × h = 225
⅓ × π × 25 × h = 225
(25π × h)/3 = 225
Multiply both sides by 3
(25π × h)/3 × 3 = 225 × 3
25π × h = 675
Divide both sides by 25π
h = 675/25π
h ≈ 8.6 cm (nearest tenth)
Answer:
x = 20°
Step-by-step explanation:
The angle opposite to 3x + 20 is also 3x + 20 (opposite interior angles)
The angle opposite to 5x is also 5x (opposite interior angles)
Solve:
Set up the equation by adding all the angles. The sum of these angles should equal 360.
- (3x + 20) + (3x + 20) + (5x) + (5x) = 360
- 16x + 40 = 360
- 16x = 320
- x = 20
x = 20°
-Chetan K
Answer:
a. Fraction of earnings that Mariano put into each piggy bank is 1/12
b. Mariano earns $28.8
Step-by-step explanation:
Mariano divides his earning in a saving account and 3 piggy banks.
First , we have to know the fraction that we divide in the 3 piggy banks.
Piggy banks =Total earning-Saving account
Saving account 3/4,
Total earning is 1
to rest both term we have to get the same denominator , so we can say that the total earning is 4/4
Piggy banks =4/4-3/4=( 4-3)/4=1/4
Piggy banks =1/4
Each piggy bank will be 1/3 of that 1/4
1/3 x 1/4=
For fraction multiplication, multiply the numerators and then multiply the denominators to get
1×1/3×4=1/12
This fraction cannot be reduced.
b. Mariano adds $2.40
1/12 is 2.40
total earning is ?
We use cross-multiplication
a/b=c/d replacing (1/12)/2.40 = 1/ ?
So, the total earning (?) is 1 x 2.40/ (1/12)
= 2.40 x 12=$28.8
<h3>
Answer:</h3>
- One solution: (x, y) = (2, 0)
- Infinitely many solutions: 2x -5y = 17
<h3>
Step-by-step explanation:</h3>
1. When you put the second equation in standard form, it is ...
... 5x +3y = 10
This is a different equation than the first one, so there will be one solution where the lines interect. (Adding the two equations gives 10x=20 ⇒ x=2. Since adding or subtracting y gives the same result, y must be zero.)
2. When you put the second equation in standard form, it is the same as the first:
... 2x -5y = 17 . . . . . divide the equation by 3
That is, any (x, y) values that satisfy the first equation will also satisfy the second equation (since they are the same). There are an infinite number of (x, y) values that do so.
