Answer:
The complete area of the given figure is 
Step-by-step explanation:
Total number of rows = 2
Squares in each row = b
So, the total number of squares in 2 rows = 2 x ( Squares in 1 row ) = 2 x b
Also, side length of 1 square = b cm
As we know, AREA OF SQUARE = SIDE x SIDE
So here, area of 1 square = Side x side = b cm x b cm = 
⇒ The area of total (2b) squares = 2 b x ( Area of 1 square)
Hence, the complete area of the given figure is
It looks like your equations are
7M - 2t = -30
5t - 12M = 115
<u>Solving by substitution</u>
Solve either equation for one variable. For example,
7M - 2t = -30 ⇒ t = (7M + 30)/2
Substitute this into the other equation and solve for M.
5 × (7M + 30)/2 - 12M = 115
5 (7M + 30) - 24M = 230
35M + 150 - 24M = 230
11M = 80
M = 80/11
Now solve for t.
t = (7 × (80/11) + 30)/2
t = (560/11 + 30)/2
t = (890/11)/2
t = 445/11
<u>Solving by elimination</u>
Multiply both equations by an appropriate factor to make the coefficients of one of the variables sum to zero. For example,
7M - 2t = -30 ⇒ -10t + 35M = -150 … (multiply by 5)
5t - 12M = 115 ⇒ 10t - 24M = 230 … (multiply by 2)
Now combining the equations eliminates the t terms, and
(-10t + 35M) + (10t - 24M) = -150 + 230
11M = 80
M = 80/11
It follows that
7 × (80/11) - 2t = -30
560/11 - 2t = -30
2t = 890/11
t = 445/11
9514 1404 393
Answer:
(b) T(x, y) -> (x-3, y-6)
Step-by-step explanation:
Each image point is 3 left and 6 down from the corresponding pre-image point. That is -3 is added to each x-value, and -6 is added to each y-value. That transformation is represented by ...
T(x, y) ⇒ (x-3, y-6)
Complete question is;
A student artist randomly selected two media from among: charcoal sketches, pencil drawings, and oil paintings, and then submitted all of her works in that media for a gallery showing. Identify the kind of sample that is described.
Answer:
Cluster sample
Step-by-step explanation:
Looking at the question, we can see that the media has already been grouped into 3 parts namely charcoal sketches, pencil drawings, and oil paintings. It has already been grouped into multiple groups for easy selection or identification.
Now this type of grouping is synonymous with cluster sampling because cluster sampling is a probability sampling technique in which the researchers divide the population into multiple groups known as clusters for research and this question clearly shows that the media has been grouped.
Answer:
131
Step-by-step explanation:
