Answer:
s = 4
Step-by-step explanation:
55-2.75=52.25
52.25 divided by 11.50= 4.54
s=4
Answer:
O'(-2,-2) and U'(0,0).
Step-by-step explanation:
ΔTOY has coordinates T (−3, 4), O (−4, 1), and Y (−2, 3).
It is given that a translation maps point T to T' (−1, 1).
The x-coordinate increased by 2 and y-coordinate decreased by 3. So, the rule of translation is
The coordinates of O' and Y' under this translation.
Therefore, the coordinates of O' and Y' under this translation are O'(-2,-2) and U'(0,0).
Answer:
Number of sundaes = 36
Number of banana split = 28
Step-by-step explanation:
On that day, let the number of sundaes sold be x
Now, since they sold 8 more sundaes than banana, the number of bananas sold is x-8
So the cost of sundaes sold will be 2 * x = 2x
the total cost of banana splits sold will be 3(x-8) = 3x -24
The addition of both equals 156
Hence;
2x + 3x-24 = 156
5x -24 = 156
5x = 156 + 24
5x = 180
x = 180/5
x = 36
So
number of sundaes sold is 36 while the number of bananas split sold is 36-8 = 28
Answer:
x ≈ 53°
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: Identify</u>
Opposite Leg of <em>x</em> = 12
Adjacent Leg of <em>x</em> = 15
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute [tangent]: sinx° = 12/15
- Trig inverse: x° = sin⁻¹(12/15)
- Evaluate: x = 53.1301°
- Round: x ≈ 53°