Answer:
Option D.
Step-by-step explanation:
- First, the you need ti understand that the triangle is an isosceles right angled triangle. In other words, the base and height are equal in length. The third side is the slide. This is the longest side.
- Next, we know that the formula for calculating the area of a right angled triangle is given by:
A = 1/2 (base × perpendicular height)
- The perpendicular height is equal to the base. Let's say the base is <em>x</em>. It means that the height is also x, since height = base.
- Therefore, the formula will be:
A = 1/2 (x.x)
=1/2 (x²)
32 = 1/2 (x²)
Multiplying both sides by 2 gives:
32×2 = x²
64 = x²
8 = x
To find the third side, we use the Pythagoras theorem:
C² = A² + B²
= 8² + 8²
= 128
C = √128
= 8√2
However, the answer will not be exact, so we multiply the length of the base and height by 2. This gives x = 16 (Length of base = length of height)
Repeating the steps above gives C = √ (16)² + (16)²
= √256
This corresponds to option D.
(8x 2 −15x)−(x 2 −27x)=ax 2 +bxleft parenthesis, 8, x, squared, minus, 15, x, right parenthesis, minus, left parenthesis, x, squ
quester [9]
Answer:
<h2>5</h2>
Step-by-step explanation:
Given the expression (8x² −15x)−(x² −27x) = ax² +bx, we are to determine the value of b-a. Before we determine the vwlue of b-a, we need to first calculate for the value of a and b from the given expression.
On expanding the left hand side of the expression we have;
= (8x² −15x)−(x² −27x)
Open the paranthesis
= 8x² −15x−x²+27x
collect the like terms
= 8x²−x²+27x −15x
= 7x²+12x
Comparing the resulting expression with ax²+bx
7x²+12x = ax²+bx
7x² = ax²
a = 7
Also;
12x = bx
b =12
The value of b - a = 12 - 7
b -a = 5
Hence the value of b-a is equivalent to 5
Answer:
5760
Step-by-step explanation:
I do 12 x 12 x 10 x 4= 5760
<span>Formula for volume of cube: V = a³
</span>V = (5)³ = 5<span> × </span>5<span> × </span><span>5 = 125 cm</span>³
$ 3.50 per lb * 1 1/2 lbs
3.50 per lb * 1.5 lbs = 5.25
It will cost $5.25
