Answer:
(a) 320 cm²
(b) 75 cm³
Step-by-step explanation:
The scale factor from A to B is 8/4 = 2.
The scale factor of the areas is 2² = 4.
The scale factor of the volumes is 2³ = 8.
(a)
80 cm² * 4 = 320 cm²
(b)
600 cm / 8 = 75 cm³
Answer:
C. II only
Step-by-step explanation:
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Answer:
b ≈ 48.6°
Step-by-step explanation:
Using the sine ratio in the right triangle
sin b =
=
, then
b =
(
) ≈ 48.6° ( to 1 dec. place )
Since rectangle ABCD is similar to HGFE, the ratios of the lengths of their corresponding sides are equal. We can infer form our picture that AD is corresponding to EH and DC is corresponding to HG, so lets find the ratios of those corresponding sides and establish a proportion to find the length of HG:

We know that

,

, and

, so lets replace those values in our proportion:




We can conclude that the length of the segment
HG is 9.
<span>The expression is missing from the question, but here is the given expression which I got from a similar question.
48 + 54 = ___ ´ (8 + 9)
Theleft-hand side of the equation is:
48 + 54 = 102
Now the right-hand side of the equation:
A </span>× (8+9) = Right-hand side
A × (8+9) = 102
Solving for the unknown variable A,
A × 17 = 102
Dividing by 17 on both sides,
A × 17 ÷ 17 = 102 ÷ 17
A × 1 = 6
A = 6
Hence,
48 + 54 = 6 x (8 + 9)