Answer:
a)8/21
b)1/9
Step-by-step explanation:
because when we divide fraction we resprocal the divisor
Answer:
<u>125.6 in²</u>
Step-by-step explanation:
Area shaded :
- 2 × Sector (72°)
- 2 x πr² x θ/360
- 2 x 3.14 x 100 x 72/360
- 6.28 x 100 x 1/5
- 20 x 6.28
- <u>125.6 in²</u>
Answer:
Step-by-step explanation:
1) (i) HG ≅ ST ; GI ≅ TR ; IH ≅ RS
ΔHGI ≅ ΔSTR by S S S congruent
(ii) ∠H ≅ ∠S ; HG ≅ ST ; ∠G ≅ ∠T
ΔHGI ≅ ΔSTR by A S A -> Angle Side Angle congruent.
3) LM ≅ XY ; MK ≅ YZ ; KL ≅ ZX
ΔLMK ≅ ΔXYZ Side Side Side congruent
∠K ≅ ∠Z ; KL ≅ ZX ; ∠L ≅ ∠X
ΔLMK ≅ ΔXYZ by Angle Side Angle congruent
On question 9, x = 0.46284330
Hi there! Use the following identities below to help with your problem.

What we know is our tangent value. We are going to use the tan²θ+1 = sec²θ to find the value of cosθ. Substitute tanθ = 4 in the second identity.

As we know, sec²θ = 1/cos²θ.

And thus,

Since the given domain is 180° < θ < 360°. Thus, the cosθ < 0.

Then use the Identity of sinθ = tanθcosθ to find the sinθ.

Answer
- sinθ = -4sqrt(17)/17 or A choice.