Answer:
13.41 cm
Step-by-step explanation:
The radius, height, and HALF of vertical angle makes a triangle.
Where
Radius will be the base of the triangle
Height will be the "height" of the triangle
Top angle will be HALF of vertical angle (40/2 = 20)
From the 20 degree angle, the side "opposite" would be the radius, which is 30. The side "adjacent" would be the height, let it be h.
<em>Which trig ratio relates opposite and adjacent? Yes, that is TAN. Thus we can write:</em>
Tan(20) = opposite/adjacent
Tan(20) = 30/h
h = 30/Tan(20)
h = 13.41
So
The height of the cone would be around 13.41 cm
Y = 3x - 6....to find the x int, sub in 0 for y and solve for x
0 = 3x - 6
-3x = -6
x = -6/-3
x = 2......so the x int here is 2
y = 3x - 6...when the slope is decreased by 2...
y = x - 6...this is the slope decreased by 2
0 = x - 6
-x = -6
x = 6.....so the x int here is 6
so ur answer is : the x int increases
The present value of the loan is R576923.
<h3>What is compound interest ?</h3>
Compound interest is giving the current instalment in terms of the total previous amount.
The formula is given by
A = P(1 + r/100)ⁿ.
Where,
A = Amount, P = Principle, r = rate of interest, n = Time in years.
In case the compound if interest is given every two months that is 6 instalments each year the above given formula will be
A = P{ 1 + (r/6)/100 }⁶ⁿ.
According to the given question
Rate(r) = 7.5%
Time(n) = 6 years
The loan will be paid back in 6 years every second month and it is compounded.
∴ No. of instalments = (12 × 6)/2
= 36.
Now each instalments is of R25000
So, The total amount she has to pay back to his father is
= (25000 × 36)
= R900000.
We know compounding every two months is
A = P(1 + r/100)ⁿ
900000 = P{ 1 + (7.6/6)/100 }³⁶
900000 = P{ 1 + 1.25/100 } ³⁶
900000 = P(1.0125)³⁶
900000 = 1.56P
∴ P = 576923.
Learn more about compound interest here :
brainly.com/question/13155407
#SPJ1
Yes. When simplifying 15:60 by dividing each side by 3, you get 5:20, which is the same as 5:20.
Answer: 20
Step-by-step explanation:
The base square is 4 x 4, which is 16. That part is easy, but the other part needs more thinking.
We have two more visible full squares, which we can add on to our 16, putting it at 18. But that half squares, we have 4 total have squares. We know that 1/2 + 1/2 = 1
So, 1/2 + 1/2 + 1/2 + 1/2 = 2.
We eventually get 16 (original square) + 2 (two other full squares) + 2 (half squares) resutling in 20.
