Answer:
x = 58°, y = 32°
Step-by-step explanation:
all sides are equal, hence it is a rhombus.
in a rhombus, diagonals meet at 90degree..
hence in triangle,
58 + 90 + z = 180 (asp of a triangle.)
z = 32
y = z ( alternate interior angles as lines are parallel in rhombus)
y = 32
in the bigger triangle,
angles opposite to equal sides are equal, hence,
32 + 32 + (58 + x) = 180 ( angle sum property of a triangle,)
hence, x = 58
therefore,
x = 58°, y = 32°
Answer:
An expression that represents repeated multiplication of the same factor is called a power. The number 5 is called the base, and the number 2 is called the exponent. The exponent corresponds to the number of times the base is used as a factor.
Step-by-step explanation:
Volume is a three-dimensional scalar quantity. The cost of the glass is $1312.24.
<h3>What is volume?</h3>
A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Given the colony must be able to take a volume of 200,000 cubic meters, therefore, the diameter of the hemisphere will be,
The volume of Hemisphere = (2/3)πr³
200,000 = (2/3) × π × R³
R = 45.7
The area of the base of the hemisphere is,
Area of the base = πR² = π×(45.7) = 6561.185 meters²
Given the cost of glass is $0.20 per square meter, therefore, the cost of the glass of the base will be,
Cost of glass = 6561.185 × 0.20 = $1312.24
Hence, the cost of the glass is $1312.24.
Learn more about Volume:
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1. y<span> ≤ 4x/3+5
2. y</span><span>< 6x/4+3</span>
Answer:
C) As x approaches positive infinity, f(x) approaches positive infinity
Step-by-step explanation:
- The domain is NOT all real numbers as x is either smaller than or bigger than 0, and smaller than or bigger than 2. So x ≠ 0 and x ≠ 2.
- This implies that there are asymptotes at x=0 and x=2.
Therefore, the function is NOT continuous.
- The function is NOT increasing over its entire domain as
f(x) = -x² -4x + 1 is decreasing for its given domain of 0<x<2
