So you have 2 identical big triangles with the h = 5.75 and b = 4:
A=(1/2)bh=(1/2)*4*5.75=11.5
11.5*2=23
Then you have to smaller identical triangles with the h =2 and b=(4+4-4)/2=2
A=(1/2)*2*2=2
2*2=4
Then you have a rectangle:
A=bh=4*2=8
Add all the calculated areas:
A=23+4+8=35
The area of the shape is therefore 35 cm^2
Hope that helped.
Answer: 943,212
Step-by-step explanation:
Suppose that you want to know the value of a given digit in a given number, where the digit is x.
Now, you should count the position of this digit, starting at the decimal point and counting to the left.
This position, a number n, will give the value of our digit as:
Value = x*10^(n-1)
in the number 893,417 the digit 9 is in the fifth place (counting from right to left).
Then the value of this 9 is:
9*10^(5 - 1) = 90,000
Now, if we want something ten times larger than this, we have:
N = 10*90,000 = 900,000
Now the 9 is in the sixth place, then we must find a number with a 9 in the sixth place, for example, 943,212.
Since adjacent angles in a parallelogram are supplementary (they add up to 180°), and ∠B is double as ∠A, you have this equation:
∠A + 2·∠A = 180°
From that you can find: 3·∠A = 180° ⇒ ∠A = 60°.
Answer: I think that it is the first one
Each student gets 25/100 of a piece of the poster board.
Hope it helps!