Answer:
x = 2/5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
Step-by-step explanation:
<u>Step 1: Define</u>
5x = 2
<u>Step 2: Solve for </u><em><u>x</u></em>
- Divide 5 on both sides: x = 2/5
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 5(2/5) = 2
- Multiply: 2 = 2
Here we see that 2 does indeed equal 2.
∴ x = 2/5 is the solution to the equation.
9514 1404 393
Answer:
80.99 m
Step-by-step explanation:
The hypotenuse of the triangle is given, and the desired side length is the one adjacent to the angle marked. The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
Multiplying by the hypotenuse, we find ...
RY = (82 m)cos(9°) ≈ 80.99 m
Answer:
![Area = 210m^2](https://tex.z-dn.net/?f=Area%20%3D%20210m%5E2)
Step-by-step explanation:
The attached shape is a trapezium and the given dimensions are:
-- Base 1
--- Base 2
--- Height
Required
Calculate the area
The area is calculated as thus:
![Area = \frac{1}{2}(B_1 + B_2) * H](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B1%7D%7B2%7D%28B_1%20%2B%20B_2%29%20%2A%20H)
![Area = \frac{1}{2}(10m + 20m) * 14m](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B1%7D%7B2%7D%2810m%20%2B%2020m%29%20%2A%2014m)
![Area = \frac{1}{2}(30m) * 14m](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B1%7D%7B2%7D%2830m%29%20%2A%2014m)
![Area = 15m * 14m](https://tex.z-dn.net/?f=Area%20%3D%2015m%20%2A%2014m)
![Area = 210m^2](https://tex.z-dn.net/?f=Area%20%3D%20210m%5E2)