Answer:
230 cm squared
Step-by-step explanation:
Split the shape into a triangle and a rectangle
The area of a triangle is base x height / 2
20 x 9= 180/2= 90 (9 because you do 16-7 to find height of triangle)
Find the area of the rectangle=
7 x 20= 140
Add them up
140+90= 230cm squared
<em>I hope this helped :)</em>
Answer:
y = 2x
y = 3x - 3
Step-by-step explanation:
Hi,
<u>y = 2x</u>
<u>6 = 2(3)</u>
<u>6 = 6</u>
<u>That's a solution</u>
<u>y = 3x - 3</u>
<u>6 = 3(3) - 3</u>
<u>6 = 9 - 3</u>
<u>6 = 6</u>
<u>That's a solution</u>
Hope this helps :)
Answer:
a)
a1 = log(1) = 0 (2⁰ = 1)
a2 = log(2) = 1 (2¹ = 2)
a3 = log(3) = ln(3)/ln(2) = 1.098/0.693 = 1.5849
a4 = log(4) = 2 (2² = 4)
a5 = log(5) = ln(5)/ln(2) = 1.610/0.693 = 2.322
a6 = log(6) = log(3*2) = log(3)+log(2) = 1.5849+1 = 2.5849 (here I use the property log(a*b) = log(a)+log(b)
a7 = log(7) = ln(7)/ln(2) = 1.9459/0.6932 = 2.807
a8 = log(8) = 3 (2³ = 8)
a9 = log(9) = log(3²) = 2*log(3) = 2*1.5849 = 3.1699 (I use the property log(a^k) = k*log(a) )
a10 = log(10) = log(2*5) = log(2)+log(5) = 1+ 2.322= 3.322
b) I can take the results of log n we previously computed above to calculate 2^log(n), however the idea of this exercise is to learn about the definition of log_2:
log(x) is the number L such that 2^L = x. Therefore 2^log(n) = n if we take the log in base 2. This means that
a1 = 1
a2 = 2
a3 = 3
a4 = 4
a5 = 5
a6 = 6
a7 = 7
a8 = 8
a9 = 9
a10 = 10
I hope this works for you!!
Answer:
i. No, Maurice statement is wrong.
ii. Stephan does not have sufficient pieces of wood to make the tray because the square inches required is more than what he has.
Step-by-step explanation:
Stephan's piece of wood measures; 18 inches in length and 12 inches in width.
Since the piece of wood has a shape of a rectangle,
the area of the piece of wood = length × width
= 18 × 12
= 216 square inches
According to Maurice's statement, he could make a tray that has a base of 1012 inches by 1012 inches.
The base has the shape of a square, so that;
the area of the base = length × width = 
= 1012 ×1012
= 1024144 squared inches
This shows that Stephan does not have sufficient wood to make the tray because the square inches required is more than what he has.
Answer:
5
Step-by-step explanation:
Hence it is correct.. thanks for points.
