Answer:
x = 77.8 ft
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Trigonometry</u>
- sin∅ = opposite over hypotenuse
Step-by-step explanation:
<u>Step 1: Define</u>
∅ = 40°
opposite leg of angle = 50 ft
hypotenuse = x ft
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute: sin40° = 50/x
- Multiply <em>x </em>on both sides: xsin40° = 50
- Divide sin40° on both sides: x = 50/sin40°
- Evaluate: x = 77.7862
- Round: x = 77.8 ft
Answer:
$625
$2500
Step-by-step explanation:
tax = percent of tax x income
0.2 x 3125 = 625
amount remaining = income - tax
3125 - 625
It's right u don't need a decimal
find the volume of the cone:
1/3 pi r squared × h
1/3 pi (1) squared × 2
= 2/3 Pi (feet cubed)
find the volume of the cylinder:
pi r squared × h
(the radius is 1 foot because its half the diameter which is 2 feet)
pi (1) squared × 2
= 2 Pi (feet cubed)
2 Pi is÷ 2/3 Pi
= 3
therefore it will take 3 cones of liquid to fill a cylinder with a diameter of 2 and height of 2
The first one is reflexive property
The second one is given
The third one is ASA
