Answer:
YES
Step-by-step explanation:
The criterion for formation of a triangle is that the sum of any 2 sides should be greater than or equal to the third side
So, we will test it for all 3 sides
7.4 + 12.5 ≥ 19.9
TRUE
12.5 + 19.9 ≥ 7.4
TRUE
7.4 + 19.9 ≥ 12.5
TRUE
Therefore, the segments with the sides: 7.4 , 12.5 and 19.9 do form a triangle
Answer: See explanation
Step-by-step explanation:
a. The deposit
= 15% × $2975
= 15/100 × $2975
= 0.15 × $2975
= $446.25
b. The hire purchase price
Outstanding balance = $2975 - $446.25 = $2528.75
20% of outstanding balance
= 20% × $2528.75
= 0.2 × $2528.75
= $505.75
Hire purchase price
= $2975 + $505.75
= $3480.75
c. The difference the hire purchase price and cash price
= $3480.75 - $2975
= $505.75
d. The difference as a percentage of the cash price.
= ($505.75 / $2975) × 100
= 0.17 × 100
= 17%
Answer:
distance TS ≈ 19 m (nearest meter)
Step-by-step explanation:
The point T is on the horizontal ground and the angle of elevation of the top R of a tower is 63° and the height of the tower is 38 m high. The illustration forms a right angle triangle. The height RS of the tower is the opposite side of the triangle formed. The hypotenuse side of the triangle is the point from the ground T to the top of the tower R. The adjacent side of the triangle is the side TS.
using tangential ratio
tan 63° = opposite/adjacent
tan 63° = 38/adjacent
cross multiply
adjacent tan 63° = 38
divide both sides by tan 63°
adjacent side = 38/tan 63°
adjacent side = 38/1.96261050551
adjacent side = 19.3619670807
distance TS ≈ 19 m (nearest meter)
(-2 = √x - 7)x² (calculate)
(-9 = √x)x² (remove the parantheses)
-9x² + √x x²
