Answer:
Area of the figure = 254.5 cm²
Step-by-step explanation:
<u><em>Area of rectangle = Length × Width</em></u>
<u><em>Area of triangle = 1/2(base × Height)</em></u>
<em>Dividing the figure into parts for convenience</em>
So,
Rectangle 1 (the uppermost):
4 × 6 = 24 cm²
Rectangle 2 (below rectangle 1):
15 × 8 = 120 cm²
Rectangle 3 (with rectangle 2):
11 × 4 = 44 cm²
Triangle 1 :
1/2(7 × 19) = 133/2 = 66.5 cm²
<em>Now adding up all to get the area of the figure:</em>
Area of the figure = 24 + 120 + 44 + 66.5
Area of the figure = 254.5 cm²
Solution:
<u>A few changes were made:</u>
<u>New equation:</u>
- 4 + 0.3 + 0.09 = 4.00 + 0.30 + 0.09
<u>Solving the equation:</u>
- 4.00 + 0.30 + 0.09
- => 4.39 (Refer to image for work)
Correct option is B.
Step-by-step explanation:
The area of a square is
where s is the side length.
It is given that the smaller square side length is s so that means the area of that smaller square is the formula above.
The longer square is twice the side length of the side length of the smaller square.
Since all squares have equal sides, that means all the side are twice than the smaller square sides.
We can represent that larger square area by
(4s) squared
To find how many smaller squares it would take to fill the larger square divide the formula by each other.
(4s)÷s squared =4
Answer:
Step-by-step explanation: I’m too lazy to do it but just substitute the values into the formula of a Rectangular prism Surface Area
Answer:
f(x) = 12*(2)^x
Step-by-step explanation:
A generic exponential equation is written as:
f(x) = A*(r)^x
And we also know that this equation passes through:
(-1, 6)
(0, 12)
(1, 24)
(2, 48)
For the second point, (0, 12) we know that when f(0) = 12
Then:
f(0) = 12 = A*(r)^0
And for every real number different than zero, a^0 = 1
Then:
f(0) = A*1 = A = 12
Then the equation is:
f(x) = 12*(r)^x
Now we can use one of the other points, like (1, 24)
Then f(1) = 24
We can solve:
f(1) = 24 = 12*(r)^1 = 12*r
24/12 = r
2 = r
Then the equation is f(x) = 12*(2)^x
Now we need to check if this function also passes through the points (-1, 6) and (2, 24):
f(-1) = 12*(2)^-1 = 12/2 = 6
f(2) = 12*(2)^2 = 12*4 = 48
Nice.
So we can see that the function is f(x) = 12*(2)^x
