The answer would be
$1.30 x 9 = $11.70
$11.70 / 10 = $1.17
Answer: $1.71
the answer is 60degree..hope it helps u
Principal amount of money deposited by Mat in the bank = $2000
Rate of simple interest given by the bank = 10%
Number of years for which the money is kept in the bank = 5 years
As no money was withdrawn from the account, so
Amount after 5 years = Principal [1 + (Rate * Time)]
= 2000 [ 1 + (10/100) * 5]
= 2000 [ 1 + (1/2)]
= 2000 * (3/2)
= 1000 * 3
= 3000 dollars
So the amount of money made by Mat after 5 years will be $3000.00
Answer:
A = 36.8°
B = 23.2°
a = 7.6
Step-by-step explanation:
Given:
C = 120°
b = 5
c = 11
Required:
Find A, B, and a.
Solution:
✔️To find B, apply the Law of Sines
![\frac{sin(B)}{b} = \frac{sin(C)}{c}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bsin%28B%29%7D%7Bb%7D%20%3D%20%5Cfrac%7Bsin%28C%29%7D%7Bc%7D%20)
Plug in the values
![\frac{sin(B)}{5} = \frac{sin(120)}{11}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bsin%28B%29%7D%7B5%7D%20%3D%20%5Cfrac%7Bsin%28120%29%7D%7B11%7D%20)
Cross multiply
Sin(B)*11 = sin(120)*5
Divide both sides by 11
![sin(B) = \frac{sin(120)*5}{11}](https://tex.z-dn.net/?f=%20sin%28B%29%20%3D%20%5Cfrac%7Bsin%28120%29%2A5%7D%7B11%7D%20)
![sin(B) = \frac{sin(120)*5}{11}](https://tex.z-dn.net/?f=%20sin%28B%29%20%3D%20%5Cfrac%7Bsin%28120%29%2A5%7D%7B11%7D%20)
Sin(B) = 0.3936
B = ![sin^{-1}(0.3936)](https://tex.z-dn.net/?f=%20sin%5E%7B-1%7D%280.3936%29%20)
B = 23.1786882° ≈ 23.2° (nearest tenth)
✔️Find A:
A = 180° - (B + C) (sum of triangle)
A = 180° - (23.2° + 120°)
A = 36.8°
✔️To find a, apply the Law of sines:
![\frac{sin(A)}{a} = \frac{sin(B)}{b}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bsin%28A%29%7D%7Ba%7D%20%3D%20%5Cfrac%7Bsin%28B%29%7D%7Bb%7D%20)
Plug in the values
![\frac{sin(36.8)}{a} = \frac{sin(23.2)}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bsin%2836.8%29%7D%7Ba%7D%20%3D%20%5Cfrac%7Bsin%2823.2%29%7D%7B5%7D%20)
Cross multiply
a*sin(23.2) = 5*sin(36.8)
Divide both sides by sin(23.2)
![a = \frac{5*sin(36.8)}{sin(23.2)](https://tex.z-dn.net/?f=%20a%20%3D%20%5Cfrac%7B5%2Asin%2836.8%29%7D%7Bsin%2823.2%29%20)
a = 7.60294329 ≈ 7.6 (nearest tenth)
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