Answer:
b. A year and a half
Step-by-step explanation:
First, we can find the total cost
Next, we can divide by 50 in order to find out how many months it will take for the panel to pay for itself.
months
This is very close to 36 months, which is <u>A year and a half</u>.
ANSWER:
27m squared
STEP BY STEP:
-Find the area of the rectangle (6*3), which is 18
-Find the area of the triangle (6*2)/2=6
-The second triangle (3*3)/2=3
-Add all the answers up (27)
-Add the label (meters squared)
- your answer is 27m squared
<h3>
Answer: A. True</h3>
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Explanation:
Let x be the number of years since 1995. So x = 0 represents 0 years from 1995, x = 1 is 1 year after 1995, and so on.
The first row of the table is (x,y) = (0, 625) with y being the number of salmon.
The second row is (1, 400).
Let's find the slope of the line through these two points.
m = (y2-y1)/(x2-x1)
m = (400 - 625)/(1 - 0)
m = (-225)/1
m = -225
This tells us the salmon population dropped by 225 in the course of a year from 1995 to 1996.
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The third row shows (2, 225). Let's find the slope of the line through the two points (1, 400) and (2, 225)
m = (y2-y1)/(x2-x1)
m = (225 - 400)/(2-1)
m = (-175)/(1)
m = -175
The slope is different from the previous result. Because of this discrepancy, this means we do not have a linear model. The slope should be the same for any two points you pick from this table if you wanted a linear model.
Put another way, there is less steep a drop of the population, and the decay curve is slowly flattening out.
Answer:
First number: 15
Second number: 21
Third number: 84
Step-by-step explanation:
A kite is a quadrilateral in which two disjoint pairs of consecutive sides are congruent (“disjoint pairs” means that one side can’t be used in both pairs).
Then:
- Two disjoint pairs of consecutive sides are congruent by definition - QP≅QR and QR is not congruent to RS (one side can’t be used in both pairs);
- One diagonal (segment QS, the main diagonal) is the perpendicular bisector of the other diagonal (segment PR, the cross diagonal), so PM≅MR;
- The opposite angles at the endpoints of the cross diagonal are congruent, thus ∠QPS≅∠QRS.
- ∠PQR is not congruent to ∠PSR, because they are not angles at the endpoints of the cross diagonal.
Answer: correct options are A, B and E.
