Answer:
r = 8°
Step-by-step explanation:
95° = 6r° + 47° ( vertically opposite angles are equal)
6r° = 95° - 47°
6r = 48°
r = 48°/6
r = 8°
Answer:
130 yd^2
Step-by-step explanation:
First we find the area of the triangle
A = 1/2 b h where b is 10 and h= 6.25
A = 1/2 (10) * 6.25
= 31.25 yd^2
Then we find the area of rectangle A
A = l*w where l is 10 and w = (7.5-2.5) = 5
A = 10 * 5
= 50 yd^2
Then we find the area of rectangle B
A = l*w where l is 6.5 and w = 7.5
A = 6.5 * 7.5
= 48.75 yd^2
The total area is found by adding them together
A triangle + rectangle A + rectangle B
31.25+50 + 48.75
130 yd^2
Answer:
7n + 9 = n² + 1
n = -1, 8
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Factoring
- Solving quadratics
Step-by-step explanation:
<u>Step 1: Set up Equation</u>
"Nine more" is + 9
"Seven times a number" is 7n
"One more" is + 1
"Square of the [same] number" is n²
7n + 9 = n² + 1
<u>Step 2: Solve for </u><em><u>n</u></em>
- Subtract 7n on both sides: 9 = n² - 7n + 1
- Subtract 9 on both sides: 0 = n² - 7n - 8
- Factor quadratic: 0 = (n - 8)(n + 1)
- Solve roots: n = -1, 8
Answer:
£ 3600
Step-by-step explanation:
Each PERSON cost:
Travel cost 130 (assume for whole 7 days since per day is not written)
Hotel 60 per day (so 7 days = 60 * 7 = 420)
Money Spend 350 (assume for whole 7 days since per day is not written)
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Now, that sums to:
130 + 420 + 350 = £900 [each person for whole 7 days]
Now, there are 4 person, so total cost of whole group (4 persons):
900 * 4 = <u>£ 3600</u>
Answer:
2/3
Step-by-step explanation:
start at the first point and count up and then over. it is 2 squares UP, and 3 squares OVER. remember rise over run, rise (2) on top and run (3) on bottom!