Answer:
x=48
Step-by-step explanation:
48/4=12
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Answer:
8 hours
Step-by-step explanation:
Joe spends 18.75% of his working day washing cars.
Joe spends 1.5 hours washing car.
Therefore 18.75% is equal to 1.5 hour.
18.75% = 1.5 hour
1% = 1.5 ÷ 18.75 = 0.08 hour
100% = 0.08 x 100 = 8 hours
Answer:
Step-by-step explanation:
The formula for determining the the area of a sector is expressed as
Area of Sector = θ/360 × πr²
Where
θ represents the central angle.
π is a constant whose value is 3.14
r represents the radius of the circle.
From the information given,
The central angle is π/7 radian. Converting to degrees, it becomes
π/7 × 180/π = 180/7 = 25.714 degrees.
Area of sector = 77 square meters
Therefore
77 = 25.714/360 × 3.14 × r²
77 = 0.2243r²
r² = 77/0.2243 = 343.29
r = √343.29 = 18.53 meters
Answer: y = -3(x +
)² +
,
,
<u>Step-by-step explanation:</u>
First, you need to complete the square:
y = -3x² - 5x + 1
<u> -1 </u> <u> -1 </u>
y - 1 = -3x² - 5x
y - 1 = -3(x² + 
y - 1 + -3(
) = -3(x² +
+
)
↑ ↓ ↑
= 
y - 1 -
= -3(x +
)²
y -
-
= -3(x +
)²
y -
= -3(x +
)²
y = -3(x +
)² +
Now, it is in the form of y = a(x - h)² + k <em>where (h, k) is the vertex</em>
Vertex =
,
Answer:
a
Step-by-step explanation: