Answer:
x = 6.3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] tan∅ = opposite over adjacent
Step-by-step explanation:
<u>Step 1: Define</u>
We have a right triangle triangle. We can use trig to find the missing length.
<u>Step 2: Identify Variables</u>
<em>POV from the angle measure</em>
Angle = 64°
Opposite = 13
Adjacent = <em>x</em>
<em />
<u>Step 3: Solve for </u><em><u>x</u></em>
- Substitute: tan64° = 13/x
- Multiply <em>x </em>on both sides: xtan64° = 13
- Isolate <em>x</em>: x = 13/tan64°
- Evaluate: x = 6.34052
Answer:
254.34 square feet in the larger green
Step-by-step explanation:
Tomato + carrot + cabbage + ( 3* carrot) =113.04 ft
1x+1x+1x+3 x= 113.04
6x= 113.04
x=113.04/6 = 18.84 feet of fence = circumference
The circumference of the tomato, carrot and cabbage gardens is 18.84 feet each. The circumference of the strawberry garden will be 3 times larger of 3x 18.84 = 56.52 feet.
With the circumference we can find the diameters, and with the diameters we can find the areas.
For the 3 small gardens, d= c/
d= 18.84 / 3.14
d=6 and the radius is 3 feet
Area = ^2
A= 3.14 x 3 x 3= 28.26 square feet in each of the 3 small gardens
For the larger garden
d=6x3=18 feet and the radius is 9 feet
Area = ^2
A= 3.14 x 9 x 9 = 254.34 square feet in the larger garden
Answer: 1/3
Step-by-step explanation: To find the y- intercept of any function substitute the 0 for x and solve for y
Hope this helps!
Answer:
Step-by-step explanation:
<u>Factoring</u>
Binomial factoring is a common task when solving a great variety of math problems.
One of the best-known formula that helps us to factor a binomial is:
It can easily be identified because the expression is the difference between two perfect squares.
The expression
can be factored with the formula above since it's the difference of two squares:
The expression is factored as follows: