52= 2(w-8) + 2x
X is the unknown length because the question is only telling us one side of the rectangle
Answer:
65 degrees
Step-by-step explanation:
y is a right angle and a is 30 degrees. this means that the supplementary engle of x is 45 plus 70 which is 115. 180-115 = 65 degrees.
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
Answer:
f(l) = l/3
Step-by-step explanation:
A clue to the functional relation is often found in the differences between values in the table.
Here the differences between "level" values are all 3. The differences between "triangles" values are all 1. The constant differences suggest the relation is linear. We note that all "triangles" values are 1/3 the "level" values.
f(l) = (1/3)l