7) (12 + 6)/(2 +4)
(18)/(6) = 3
8) (42 - 24)/6
(18)/6 = 3
9) (9 + 16) - (2 x 4)
25 - 8 = 17
10) 60 - (3 + 2) x 5
60 - 5 x 5
60 - 25 = 35
11) 18 + (9/3)
18 + 3 = 21
12) 5 x (2 + 4 + 3)
5 x (9) = 45
hope this helps
To solve this word problem, we will use the Pythagorean Theorem.
Pythagorean Theorem: a^2 + b^2 = c^2
Our side lengths are 10 and 24ft.
So, we can plug them in for a and b.
10^2 + 24^2 = c^2
100 + 576 = 676
Then, we need to find the square root of 676.
sqrt676) = 26
So, the missing length or the hypotenuse is 26 feet.
Therefore, we require 26 feet of string to measure the length of the hypotenuse in which the room is split in half.
Simple interest = Cost Price + (Interest Percentage of Cost Price × number of years or months we are paying off)
a) SI = £20 000 + (5% of £20 000 × 4)
SI = £20 000 + (£1000 × 4)
SI = £20 000 + £4000 = £24 000
b) SI = £20 000 + (5% of £20 000 × 3)
SI = £20 000 + (£1000 × 3)
SI = £20 000 + £3000 = £23 000
£24 000 - £23 000 = £1000 that you saved!
Answer:
Step-by-step explanation:
<u>Property of regular polygons:</u>
- Sum of Interior Angles = (n−2) × 180°, where n is number of sides
<u>In our case we have:</u>
- 158.8×n = (n - 2)×180
- 180n - 158.8n = 360
- 21.2n = 360
- n = 360/21.2
- n = 17
Answer:
Let's define two transformations.
Vertical translation.
If we have a function f(x), a vertical translation of N untis is written as:
g(x) = f(x) + N
If N is positive, then the translation is upwards
If N is negative, then the translation is downwards.
Horizontal translation.
If we have a function f(x), a horizontal translation of N units is written as:
g(x) = f(x - N)
if N is positive, then the translation is to the right
If N is negative, then the translation is to the left.
Now we have a function g(x) that is a transformation of a parent function f(x) (we actually do not know which parent function, so i assume f(x) = x^2) such that we have a shift right 5 units and up 3 units.
Then:
g(x) = f(x - 5) + 3
and again, using f(x) = x^2
g(x) = (x - 5)^2 + 3
