Answer:
a, c) see below
b) trapezoid
d) 80 square units
Step-by-step explanation:
a, b, c) See the attached plot. The different-length horizontal bases make this a trapezoid.
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d) The area of the original is ...
A = (1/2)(b1 +b2)h = (1/2)(1+4)(2) = 5
Dilation by a factor of 4 multiplies the area by a factor of 4² = 16.
The area of the larger trapezoid is ...
5 × 16 = 80 . . . . square units
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Of course, you can use the area formula, too:
A = (1/2)(b1 +b2)h = (1/2)(4 +16)(8) = 80 . . . . square units
Answer:
a8 = 0.004
Step-by-step explanation:
Q is abt a geometric series given by the eqn: an = a1*r^(n-1)
given a1 = 40000, r = 0.1
an = 40000*(0.1)^(n-1)
a8 = 40000*(0.1)^(8-1)
= 40000*(0.1)^7
= 0.004
Answer:
Number of whole tiles need = 120,000 tiles
Step-by-step explanation:
Given:
Area of room = 300 m²
Dimension of each tile = 5cm x 5cm
Find:
Number of whole tiles need
Computation:
Dimension of tile in meter = 5 /100 = 0.05 m
Area of each tile = 0.05 x 0.05
Area of each tile = 0.0025 m²
Number of whole tiles need = Area of room / Area of each tile
Number of whole tiles need = 300 / 0.0025
Number of whole tiles need = 120,000 tiles
Total 120,000 tiles need to cover 300 m² room.
When x is 1 and y is 10
x(10) = y
When x is 2 and y is 12
x(6) = y
when x is 4 and y is 16
x(4) = y
When x is 6 and y is 20
x(4) - 4 = y
hope this helps
Answer:
The correct option is B
B) The graph will be a solid line with a y-intercept of negative four and a slope of seven. The graph will be shaded above the line.
Step-by-step explanation:
The given equation is
y ≥ 7x - 4
Consider only the equality sign:
y = 7x-4
or
y = 7x + (-4)
The general form of any linear equation is given by:
y = mx + c
By comparing, we can see that:
m = slope = 7
Secondly consider the equation
y ≥ 7x - 4
We know that generally for the signs "equal to and greater/smaller than", we use a solid line, and for the signs "greater/smaller than", we use a dashed line.
Hence, to graph this equation we'll use a solid line.
Thirdly, find y intercept by putting x=0
y = 7(0) - 4
y = -4
The correct option is B
