Answer:
Question 1: Option B
Question 2: Option A
Step-by-step explanation:
Question #1:
Options are:
10¹¹ = 100000000000
10¹⁴ = 100000000000000
10¹⁵ = 1000000000000000
10¹² = 1000000000000
The power that exceeds the given quantity would be:
10¹⁴ ⇒ There are more digits.
Question #2:
We have the following expression:
981 44/51 = 61*981+44/61 = 981.72
We have to 10³ = 1000
So, the correct option is 10³
<span>y = 10x * sin(x)
y' = 10 * (x * cos(x) + sin(x))
x = pi/2
y' = 10 * ((pi/2) * cos(pi/2) + sin(pi/2)) = 10 * ((pi/2) * 0 + 1) = 10 * 1 = 10
y - 5pi = 10 * (x - (pi/2))
y - 5pi = 10x - 5pi
y = 10x</span>
Answer:
(5) The perpendicular height of the triangle is 8.48 mm.
(6) The 1184.86 cm far up the wall the ladder reach.
Step-by-step explanation:
Part (5):
When a perpendicular is drawn in an isosceles triangle then the perpendicular divided the base into 2 equal parts.
The figures is shown below.
In ΔABC,
CB = 6 mm
So,
CD = BD = 3 mm
Now calculating the perpendicular height of the triangle.
Using Pythagoras theorem in ΔADC:

Thus, the perpendicular height of the triangle is 8.48 mm.
Part (6):
The figure is shown below.
Converting meter to centimeter:
1 m = 100 cm
So,
12 m = 1200 cm
Using Pythagoras theorem in ΔXYZ:

Thus, 1184.86 cm far up the wall the ladder reach.
Answer:
£10.71
Step-by-step explanation:
Given the original price including discount od shorts = £15
Percent discount = 40%
Original price = x
Using the expression to calculate x
x + (40%of x) = 15
x +0.4x = 15
1.4x = 15
x = 15/1.4
x = £10.71
Hence the non sale price is £10.71
Answer:
nonproportional
Step-by-step explanation:
nonproportional is what i think