Answer:
area = 44 cm²
Step-by-step explanation:
rectangle area = bh = 8 x 4 = 32 cm²
triangle height² = 5² - 4³ = 25 - 16 = 9
triangle height = 3
triangle area = 1/2bh = 1/2(8)(3) = 12 cm²
32 cm² + 12 cm² = 44 cm²
area = 44 cm²
Answer:
Any line passing through the origin represents a proportional relationship
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form 
or 
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and<u> the line passes through the origin</u>
therefore
Any line passing through the origin represents a proportional relationship
Label the 3 distinct sides of the box. I arbitrarily chose the letters a, b and c.
Use the info about areas as follows:
ab=54 in^2
ac=90 in^2
bc=60 in^2
Here you have 3 equations in 3 unknowns (a, b and c), which is enough info to use to determine a, b and c. Then the volume of the box is a*b*c.
Example: bc = 90, but c = 60/b. You could subst. 60/b for c in the 2nd and 3rd equation, which will eliminate c completely and leave you with 2 equations in 2 unknowns.
Continuing this procedure, I determined that a=9, b=6 and c=10. Thus, the volume of the box is V = 9*6*10 = 540 cubic inches (answer)
Answer:
500^1/3
Step-by-step explanation:
Since it is a cube root, the exponent is 1/3.
Answer:
x = 17
Step-by-step explanation:
Since the triangles are similar then corresponding angles are congruent.
∠ I = ∠P ← substitute values and solve for x
3x + 4 = 72 - x ( add x to both sides )
4x + 4 = 72 ( subtract 4 from both sides )
4x = 68 ( divide both sides by 4 )
x = 17
