Answer:
BD = <u>1</u> unit
AD = <u>1</u> unit
AB = <u>1.6</u> units
AC = <u>1.6</u> units
Step-by-step explanation:
In the picture attached, the triangle ABC is shown.
Given that triangle ABC is isosceles, then ∠B = ∠C
∠A + ∠B + ∠C = 180°
36° + 2∠B = 180°
∠B = (180° - 36°)/2
∠B = ∠C = 72°
From Law of Sines:
sin(∠A)/BC = sin(∠B)/AC = sin(∠C)/AB
(Remember that BC is 1 unit long)
AB = AC = sin(72°)/sin(36°) = 1.6
In triangle ABD, ∠B = 72°/2 = 36°, then:
∠A + ∠B + ∠D = 180°
36° + 36° + ∠D = 180°
∠D = 180° - 36° - 36° = 108°
From Law of Sines:
sin(∠A)/BD = sin(∠B)/AD = sin(∠D)/AB
(now ∠A = ∠B)
BD = AD = sin(∠A)*AB/sin(∠D)
BD = AD = sin(36°)*1.6/sin(108°) = 1
Initial Deposit = $7000
It means P= $7000
rate of interest = 10%
So , r = 0.10
compounded quarterly , so n = 4
and we have to find the amount after 5 years , So t = 5
Now the formula we use here is
So amount after 5 years = $11470.315
Answer:
4 and -4 are both the square roots of 16
Step-by-step explanation:
Answer:
Her first error was adding the wrong number to both sides. Instead of 4², it should be 2²
Step-by-step explanation:
When completing the square, the number that needs to be added to both sides is (b/2)²
In this problem, b is 4. So, Carly should have added 2² to both sides, but she added 4² instead.
So, her first error was adding 4² to both sides instead of 2²
-18.2 + 3.6= -14.6 is the answer to the question
