Answer:
= 8sqrt2
Step-by-step explanation:
Area of a trapezium is given by the formula;
1/2(a+b)h
;
Where a and b are the parallel sides and h is the perpendicular height.
a = 3 cm, b= 5 cm
To get; h, we use the Pythagoras theorem;
h² = 3² - 1²
h² = 8
h = √8
= √4√2
= 2√2
Thus;
Area = 1/2(3 +5) 2√2
= 1/2 ×8 × 2√2
<u> = 8√2 cm² or 8sqrt2 cm²</u>
Answer:
20 gray squares
Step-by-step explanation:
Given
See attachment for squares
Required
Number of gray squares when white = 16
First, we calculate the equation that represents both squares.
<u>The white squares</u>
--- initial
-- difference between successive gray squares
So, the nth term is:
<u>The gray squares</u>
--- initial
-- difference between successive gray squares
So, the nth term is:
When the white squares is 16
--- Calculate n
To get the number of gray squares;
Substitute in
Answer:
52°
Step-by-step explanation:
The angle 38° and m∠1 equal 90°, so 90-38=52.
You use a scientific or graphing calculator to plug in the equations then plot each point and connection the dots.
Answer:
1. 15x-10
2. x²-x-12
3. x²-8x+12
4. 2x³+4x²-30x
5. 6x³- 12x²+6x
6. 4x³+12x²-20x
Step-by-step explanation:
4.2x(x+5)(x-3)
= 2x(x²-3x+5x-15)
= 2x(x²+2x-15)
= 2x³+4x²-30x
