Answer:
Step-by-step explanation:
The simple interest on a certain sum for 5years at 8% per annum is Rs200 less than the simple interest on the same sum for 3years and 4months at 18% per annum.Find the sum
The formula for Simple Interest = PRT
From above question, we have to find the Principal
The simple interest on a certain sum for 5years at 8% per annum is Rs200
Hence,
R = 8%
T = 5 years
Rs 200 = P × 8% × 5
P = 200/8% × 5
P = Rs500
The principal = Rs 500
The simple interest on the same sum for 3years and 4months at 18% per annum.
Simple Interest = PRT
R = 18%
T = 3 years and 4 months
Converted to years
T = 3 + (4 months/12 months)
T = 3.33 years
Hence,
Simple Interest = Rs 500 × 18% × 3.33 years
= Rs 299.7
N = 22b+34
Plug in.
n = 22(2)+34=44+34=78
n = 22(3)+34=66+34=100
n = 22(5)+34=110+34=144
n = 22(7)+34=154+34=189
9514 1404 393
Answer:
106 m
Step-by-step explanation:
The law of sines is useful.
The angle opposite the given side of 50 m is ...
180° -83° -69° = 28°
Then the distance (d) opposite the 83° angle is ...
d/sin(83°) = (50 m)/sin(28°)
d = (sin(83°)/sin(28°))×(50 m) = 105.709 m
The ball is about 106 meters from the pin.
Answer:
50√3 square units.
Step-by-step explanation:
Let the two sides of the triangle given be 'a' and 'b'.
Let the angle between them be θ
From the question given above, the following data were obtained:
Side a = 20 units
Side b = 10√3
Angle (θ) = 30°
Area (A) =?
A = ½ × ab × Sineθ
A = ½ × 20 × 10√3 × Sine 30
A = ½ × 20 × 10√3 × ½
A = 10 × 5√3
A = 50√3 square units
Therefore, the area of the triangle is 50√3 square units
Answer:
b. x^4 varies directly as y.
Step-by-step explanation:
x^4 = 7×y
x^4 is proportional to y.
