Answer:
26.6 m
Step-by-step explanation:
Given the figures are similar
linear ratio = a : b
area ratio = a² : b²
here
area ratio = 16 : 25, then
linear ratio = 4 : 5 ( square root of both area ratio parts )
let the perimeter of the larger figure be x, then by proportion
=
( cross- multiply )
4x = 106.5 ( divide both sides by 4 )
x ≈ 26.6
Hence perimeter of larger figure is approximately 26.6 m
Applying the trigonometry ratios, we have:
a. CD = 63.6
b. CD = 33.8
c. CD = 16.1
d. CD = 15.9
<h3>What are the Trigonometry Ratios?</h3>
The trigonometry ratios are used to find a length or angle in any right triangle. They are:
- SOH, which is sin ∅ = opp/hyp
- CAH, which is cos ∅ = adj/hyp
- TOA, which is tan ∅ = opp/adj
a. ∅ = 32°
hyp = 75
adj = CD
Apply CAH:
cos 32 = CD/75
CD = cos 32 × 75
CD = 63.6
b. ∅ = 56°
opp = 28
hyp = CD
Apply SOH:
sin 56 = 28/CD
CD = 28/sin 56
CD = 33.8
c. ∅ = 43°
opp = 15
adj = CD
Apply TOA:
tan 43 = 15/CD
CD = 15/tan 43
CD = 16.1
d. ∅ = 27°
hyp = 35
opp = CD
Apply SOH:
sin 27 = CD/35
CD = sin 27 × 35
CD = 15.9
Learn more about the trigonometry ratios on:
brainly.com/question/10417664
Answer: 18450
Step-by-step explanation:
If I'm interpreting this right, it's -36 since a half times ten is 5... so it comes down to 5-41 which equals -36.
$16 is the answer
Maybe I’m actually not sure