Answer:
She made 792 dollars that week. I'm assuming it is just asking for the yearly commission she made. That would be 41,184 dollars a year.
Step-by-step explanation:
7200 x 0.11 = 792 Weekly
52 Weeks in a year
792 x 52 = 41184 Yearly (if that's what it's asking for)
Based on the graph, the total perimeter of the doghouse Jeremy plans to build s 28 feet (twenty-eight feet).
<h3>What is the perimeter?</h3>
This is the total distance of all the sides in a shape. Due to this, the general formula is:
- Perimeter = side + side + side.
<h3>What is the perimeter of the doghouse?</h3>
- Horizontal side: 8 feet
- Vertical sides: 10 feet
- Diagonal sides: 10 feet
8+10+10= 28 feet.
Note: This question is incomplete because the graph is missing; here is the graph:
Learn more about perimeter in: brainly.com/question/6465134
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Answer:
x = 2
Step-by-step explanation:
(x² logₓ27) log₉x = x + 4
Use change of base formula.
x² (log 27 / log x) (log x / log 9) = x + 4
Simplify.
x² (log 27 / log 9) = x + 4
x² (log 3³ / log 3²) = x + 4
x² (3 log 3 / (2 log 3)) = x + 4
x² (3 / 2) = x + 4
3x² = 2x + 8
3x² − 2x − 8 = 0
(x − 2) (3x + 4) = 0
x = 2 or -4/3
Since x > 0, x = 2.
Answer:
17.5
Step-by-step explanation:
The following data were obtained from the question:
Angle R = 105°
Side R = r
Side S = 15
Side T = 6
The value of r can be obtained by using cosine rule formula as shown below:
inding sides:
r² = s²+ t² – 2st cos(R)
r² = 15² + 6² – 2 × 15 × 6 × cos105°
r² = 225 + 36 – 180 × cos105°
r² = 261 + 46.587
r² = 307.587
Take the square root of both side
r = √307.587
r = 17.5
Therefore, the value of r is 17.5