Answer:
y = 4/5
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
- Subtraction Property of Equality<u>
</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
7/8y + 1/2 = 1 1/5
<u>Step 2: Solve for </u><em><u>y</u></em>
- Convert to improper fraction: 7/8y + 1/2 = 6/5
- [Subtraction Property of Equality] Subtract 1/2 on both sides: 7/8y = 7/10
- [Division Property of Equality] Divide 7/8 on both sides: y = 4/5
The probability of choosing a red marble is 18/47.
It’s C
You would use cos for this equation
Cos(45)= x/5
5 x cos(45
And when you put that in the calculator you will get that answer C
Based on the definition of supplementary angles, the measure of both angles are: 80° and 100°.
<h3>What are Supplementary Angles?</h3>
The sum of angles that are supplementary to each other equals 180 degrees.
Let the measure of the supplementary angle be x.
The other angle will be: x + 20.
(x + 20) + x = 180
x + 20 + x = 180
2x + 20 = 180
2x = 180 - 20
2x = 160
x = 160/2
x = 80°
The other angle will be x + 20 = 80 + 20 = 100°.
The measure of the angles are: 80° and 100°.
Learn more about supplementary angles on:
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Answer:
Total Area = 110 m²
Step-by-step explanation:
To find the area of this composite shape, extend the top horizontal line to the right. That divides the figure into a right triangle (above the extended line) and a rectangle (below the extended line).
<h3>Shape 1</h3>
Name: triangle
Formula: A = 1/2bh
Values: b = 15 m -5 m = 10 m; h = 4 m
Area = 1/2(10 m)(4 m) = 20 m²
__
<h3>Shape 2</h3>
Name: rectangle
Formula: A = bh
Values: b = 15 m; h = 6 m
Area = (15 m)(6 m) = 90 m²
__
Total area = Shape 1 area + Shape 2 area
Total area = (20 m²) +(90 m²) = 110 m²