Answer:
see explanation
Step-by-step explanation:
Using the Sine rule in all 3 questions
(1)
=
, substitute values , firstly calculating ∠ B
[ ∠ B = 180° - (78 + 49)° = 180° - 127° = 53° ]
=
( cross- multiply )
a sin53° = 18 sin78° ( divide both sides by sin53° )
a =
≈ 22.0 ( to the nearest tenth )
(3)
=
, substitute values
=
( cross- multiply )
45 sinC = 35 sin134° ( divide both sides by 35 )
sinC =
, then
∠ C =
(
) ≈ 34.0° ( to the nearest tenth )
(5)
Calculate the measure of ∠ B
∠ B = 180° - (38 + 92)° = 180° - 130° = 50°
=
, substitute values
=
( cross- multiply )
BC sin50° = 10 sin38° ( divide both sides by sin50° )
BC =
≈ 8.0 ( to the nearest tenth )
Answer:

Step-by-step explanation:
Coordinates of B are

Coordinates of C are

Distance between two points

Distance of BC





Answer:
2.8
Step-by-step explanation:
To find the mean add all the values and divide by the amount of values and when you add everything up it is 14 and dividr by 5 to get 2.8
Answer: $742.20
Step-by-step explanation:
The payments will be divided between an interest and a principal payment.
The interest payment will be based on the balance at the beginning of the period and the rest of the payment will be the mortgage.
Balance at beginning of period = $72,000
Interest payment = (3.13% * 72,000) / 12 months
= $187.80
Amount going towards principal:
= Total payment - Interest payment
= 930 - 187.80
= $742.20