Answer:
16.8
Step-by-step explanation:
equation: x - 3.9 = 12.9
add 3.9 to 12.9
answer is 16.8
Answer:
315 cm²
Step-by-step explanation:
Given the scale factor of 2 similar figures is a : b , then
ratio of areas = a² : b²
Here the scale factor = 7 : 21 = 1 : 3 , thus
ratio of areas = 1² : 3² = 1 : 9
That is the area of the enlargement is 9 times the original, so
area of enlargement = 35 × 9 = 315 cm²
For this case we have the following transformation:
Assume k> 0
To graph f (x) + k, move the graph k units up.
Applying the transformation we have:
y = x ^ 2 + 5/2
Answer:
The equation of the new parabola is:
y = x ^ 2 + 5/2
Answer:
228.36 ft^2
Step-by-step explanation:
1. The total surface area is the area of two trapezoids and 4 rectangles. The rectangles all have the same width, so we can figure their area by finding their total length: the perimeter of the trapezoid.
<u>rectangle area</u>
The perimeter of the isosceles trapezoid is the sum of its edge lengths:
P = 13 +8.06 +5 +8.06 = 34.12
The rectangles are 3 ft wide, so their total area is ...
A = LW = (34.12 ft)(3 ft) = 102.36 ft^2
__
<u>trapezoid area</u>
The area of a trapezoid is given by the formula ...
A = (1/2)(b1 +b2)h
A = (1/2)(13 ft +5 ft)(7 ft) = 63 ft^2
__
<u>total area</u>
As we said, the total area is the sum of the rectangle area and that of two trapezoids:
total area = rectangle area + 2 × trapezoid area
A = 102.36 ft^2 + 2 × 63 ft^2
A = 228.36 ft^2
The area of the trapezoidal prism in figure 1 is 228.36 square feet.
Remaining children = 20-6=14
So 14 children have age of 8 years old.
Average age = (6*5+14*8)/20 ≈ 7.1 ≈ 7 years old
