Answer:
3√2
Step-by-step explanation:
The hypotenuse of an isosceles right triangle is √2 times the side length.
x = 3√2
_____
All these triangles are similar, so the ratio of hypotenuse to leg is the same for all.
hypotenuse/leg = x/3 = (3+3)/x
x² = 3·6 = 3²·2 . . . . cross multiply (identify square factors)
x = 3√2 . . . . . take the square root
Answer:
g/cm²
Step-by-step explanation:
First, we need to find the volume of the prism. The volume of a square pyramid is V = Bh/3
B = 100 cm²
h = 6 cm
V = 100 cm² * 6 cm /3
V = 600 cm³ /3
V = 200 cm³
Next, we need to solve for the density based on the desired volume and mass.
m = mass = 300 g
V = volume
density = m/V
density = 300 g / 200 cm³
density = 3/2 g/cm³
The lowest possible density of the material to make the paperweight would be g/cm²
Answer:
The answer is -- all integers from 10 to 50, inclusive
Hope I Helped.
(I am sure of the answer, I have completed the test.)
Answer:
C
Step-by-step explanation:
16 : 12
x : 6
- multiply 16*6 and divide by the number multiplying with the unknown (12)
(16*6)/12 = 8
- area of triangle is 1/2 h*b
so 1/2 * (16*8) = 64
Cost of the article = $27.50
Amount of city sales tax = (27.50 x 6%) = $1.65
Amount of excise tax = (27.50 x 8%) = $2.20
From my knowledge, we pay city sales tax and federal excise tax when we buy something, so the total cost would be $31.35
