By utilizing the law of the sines and Heron's formula, we find that the <em>approximate</em> area of the triangle is approximately 73.1 square centimeters. (Correct choice: A)
<h3>How to calculate the area of a triangle by Heron's formula</h3>
Prior to using Heron's formula, we must find the lengths of the missing sides by law of the sines:
A = 180° - 95° - 35°
A = 50°

b ≈ 10.483 cm

c ≈ 18.206 cm
Now, we proceed to calculate the area of the triangle:
s = 0.5 · (14 cm + 10.483 cm + 18.206 cm)
s = 21.345 cm

A ≈ 73.113 cm²
By utilizing the law of the sines and Heron's formula, we find that the <em>approximate</em> area of the triangle is approximately 73.1 square centimeters. (Correct choice: A)
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Answer:
Step-by-step explanation:
So you know the coords for the angle which is (1, 4).
Another coord might be (2, 5) or (0,3)
So we can find the slope
rise/run=1/1
so m=1
Sub in coords like (1,4) to find y-int
y=mx+b
4=1(1)+b
b=3
Thus y=x+3
Answer:
x = 63
Step-by-step explanation:
x + 2 + 25 = 90
x + 27 = 90
x = 63
I hope that helps.
Answer:
$4000
Step-by-step explanation:
Given that :
Total interest earned = $150
Let amount invested (p) at 2% = x
Amount invested (p) at 3.25% = 4x
Interest = principal * rate * time
At 2%:
(x * 0.02 * 1 ) + (4x * 0.0325 * 1) = 150
0.02x + 0.13x = 150
0.15x = 150
x = 150 / 0.15
x = 1000
Hence,
Amount invested at 2% = x = 1000
Amount invested at 3.25% = 4x = 4(1000) = 4000