15/7 or 2 1/7 (same number but the first one is an improper fraction and the other is a mixed fraction)
Answer:
A) 5.12mm³
Step-by-step explanation:
Step 1
Find the volume of the bigger pyramid
This is a triangular based pyramid.
The formula to use is given as Volume of Pyramid =
1/3 × Area of the triangle × Height
Area of the triangle = 1/2 × 3 mm × 4mm = 6mm²
Volume of the large pyramid = 1/3 × 6mm² × 5mm
= 10mm³
We are given the length of the small pyramid as 4mm
We would be using was is known as scale factor to find the volume of the small pyramid
The scale factor k = (Height of the small pyramid)³/ (Height of the Large pyramid)³
k = 4³/5³
k = Volume of small pyramid/ Volume of large pyramid
Volume of small pyramid = X
Volume of large pyramid = 10mm³
Hence,
4³/5³ = X/10
Cross Multiply
= 4³ × 10 = 5³ × X
X = (4³ × 10)/ 5³
X = 5.12mm³
Perimeter = 2 × π × r
Perimeter = 2 × 3.14 × 9
Perimeter = 56.52
Perimeter = 56.52 ÷ 2
Perimeter = 28.26
The perimeter of a semicircle with a radius of 9mm is 28.26
Answer:
I'm not the greatest at math but I'll see if I can get this right.
I'm super sorry if this is wrong
Given:
Area of the trapezoid is 39 ft².
The image contains a measurement of 11 ft and 15 ft on its bases.
Area of a trapezoid = (a + b)/2 * h
39 ft² = (11ft + 15ft)/2 * h
39ft² = 26ft/2 * h
39ft² = 13ft * h
39ft² ÷ 13ft = h
3ft = h.
The height of the trapezoid is 3 feet.
