Answer:
A=1
Step-by-step explanation:
The formula to find the area of a circle is πr^2, meaning that you divide the diameter in half which is 1. So 1^1 is one. The area would be one.
Hope this helps :)
Answer and Step-by-step explanation:
A. 4 inches: An object that's 4 inches is about 2.54 centimeters or 25.4 millimeters. An business envelope is typically about 4 inches by 9 inches for example.
B. 6 feet: A 6 feet object is quite big when compared to just 4 inches. A feet is 12 inches hence 6 feet is 72 inches. A very tall human being is typically 6 feet.
C. 1 meter: A meter is about 39.37 inches hence it is quite big when compared to a feet. A baseball bat is one meter long.
D. 5 yards: A yard is 36 inches hence a bit smaller than a meter. A trampoline could be 5 yards for example
E. 6 centimeters: one centimeter is 0.394 inches hence smaller than an inch. A 6 centimeters object for example is pencil for writing.
F. 2 millimeters: a millimeter is 0.0394 inches hence smaller than a centimeter and an inch. An orange seed could be 2 millimeters long
G. 3 kilometers: one kilometer is 39370.079 inches hence a kilometer is bigger than inches, meter, feet, yards, centimeters, millimeters. A very big tree could be 3 kilometers long
Using the addition rule of the Sine function and the Cosine function, we obtain .
<h3>What are the formulas for (sin x + sin y) and (cos x + cos y)?</h3>
- The formula for the addition of two Sine functions () is .
- The formula for the addition of two Cosine functions () is .
Given that
Then using the above formulas, we get:
(1)
(2)
Dividing the equation (1) by (2), we get:
(3)
Now, we know that .
Thus, using the above formula, we get from (3):
Therefore, using the addition rule of the Sine function and the Cosine function, we obtain .
To know more about Sine and Cosine functions, refer: brainly.com/question/27728553
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First we dra a triangle:
To prove that the triangles are similar we have to do the following:
Considet triangles ABC and ACD, in this case we notice that angles ACB and ADC are equal to 90°, hence they are congruent. Furthermore angles CAD and CAB are also congruent, this means that the remaining angle in both triangles will also be congruent, therefore by the AA postulate for similarity we conclude that:
Now consider triangles ABC and BCD, in this case we notice that angles ACB and BDC are congruent since they are both equal to 90°. Furthermore angles ABC and DBC are also congruent, this means that the remaining angle in both triangles will, once again, be congruent. Hence by the AA postulate we conclude that:
With this we conclude that traingles BCD and ACD are both similar to triangle ABC, and by the transitivity property of similarity we conclude that:
Now that we know that both triangles are similar we can use the following proportion:
this comes from the fact that the ratios should be the same in similar triangles.
From this equation we can find h:
Plugging the values we have for x and y we have that h (that is the segment CD) has length:
Therefore, the length of segment CD is:
Given that total volume of the solution = 12 quarts
Let volume of water added = x quarts
Then volume of 30% vinegar = (12-x) quarts
Given that x quarts of 0% water is mixed with (12-x)quarts of 30% vinegar to obtain 12 quarts of 25% solution
So we can write equation as:
[0% of x] + [30% of (12-x)] = [25% of 12]
or 0x + 0.30(12-x) = 0.25*12
or 0 + 3.6-0.30x = 3
or -0.30x = 3-3.6
or -0.30x = -0.6
x=2
Hence answer will be 2 quarts of water.