Let's start with sectioning off the little squares on the left that are jutting out of the top and bottom. Both of the squares are C*E, so multiply C*E twice to get the area of those little squares. That comes out to 12 feet.
Next is the main quadrilateral, the big one. You have to cut it off at the point the triangle starts to slope, so the end fo B.
But you also have to get the left part, so you have to add the length of C to the length of B to get the length of the quadrilateral. A encompasses the entire height, but not the part we want, because we already isolated those little squares. To get the height, just subtract the two E parts. The height is 6. The length is 8 feet. Multiply and get 48.
Add that to the previous 12 feet calculated to get 60.
Next, the triangle. The height is A, but only with one E. So subract the other E to get a height of 9. The length is D, but you have to subract B because that is part of the earlier quadrilateral. That makes it 9.
The formula for a triangle is height * length / 2. So, plug in the numbers-- 9 * 9 / 2
81/2
40.5.
Add to the previous 60 we got and that makes 100.5 square feet.
Hope this helped!
Cindy's argument is incorrect. 1/3 is a rational number because it can be expressed as the ratio of two integers. The fact that the decimal representation of 1/3 does not terminate does not make it irrational.
Cindy's argument is incorrect. A fraction is considered irrational if it cannot be expressed as the ratio of two integers. In the case of 1/3, it can be expressed as the division of the integer 1 by the integer 3, so it is a rational number. The fact that the decimal representation of 1/3 (0.333...) does not terminate does not make it irrational. Irrational numbers are decimal numbers that do not repeat or terminate, such as π (pi) and √2 (the square root of 2).
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(14x3y2z)4
The result of raising the polynomial (14x3y2z) to the 4th power is 38416x12y8z4. This is calculated by individually multiplying each part of the polynomial by itself 4 times.
The problem is asking you to calculate the result of raising a polynomial (14x3y2z) to the 4th power.
The operation refers to using the rule of powers which states that any base with an exponent is multiplied by itself the amount of times indicated by the exponent. The result should therefore be calculated as follows:
(14x3y2z)4 = 38416x12y8z4
To find the answer, we raised each part of the polynomial to the 4th power. 144 equals 38416, (x3)4 results in x12 because you multiply the exponents, (y2)4 results in y8 for the same reason and z4 because anything to the power of 4 is itself raised 4 times.
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The fraction equivalent of 2.3125 in improperfraction form is 165/80.
We have,
To convert the decimal 2.3125 into an improper fraction, follow these steps:
- Identify the whole number part:
In this case, the whole number part is 2.
- Determine the fractional part:
The fractional part is the decimal part of the number. In this case, the decimal part is 0.3125.
- Convert the decimal part to a fraction:
To convert the decimal 0.3125 to a fraction, count the number of decimal places, which is four.
Then, write the decimal part over a denominator of 10 raised to the power of the number of decimal places.
0.3125 = 3125/10,000
- Combine the whole number part and the fractional part:
Add the whole number part to the fraction obtained in step 3.
= 2 + 3125/10,000
- Simplify the fraction if possible:
In this case, the fraction 3125/10,000 can be simplified by dividing both the numerator and denominator by 125, which is the greatest common divisor.
= 2 + 3125/10,000
= 2 + (3125 ÷ 125) / (10,000 ÷ 125)
= 2 + 25/80
- Convert the mixed number to an improper fraction:
Multiply the whole number part by the denominator of the fraction and add the numerator.
Place the result over the denominator.
= 2 + 25/80
= (2 x 80 + 25) / 80
= 165/80
Thus,
The fraction equivalent of 2.3125 in improperfraction form is 165/80.
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Answer: The answer is .
Step-by-step explanation: Step 1. Let's rewrite the decimal number as a fraction with 1 in the denominator: .
Step 2. Multiply to remove 4 decimal places. Here, you multiply top and the bottom by 10⁴=10000: .
Step 3. You find the Greatest Common Factor of 23125 and 10000, or if it exists, and reduce the fraction by dividing both numerator and denominator by the GCF=625: Numerator: 23125÷625=37
Denominator: 10000÷625=16.
Last but not least is step 4. Simplify the improper fraction: . Now in conclusion: 2.3125=. I hoped this step-by-step explanation will be helpful! Can you give me brainliest? I will be appreciated! :D
The rate of change of y is proportional to y. when x=0, y=4 and when x=3, y=10 then the value of y is 12 when x =6.
The two points from the given information are (0, 4) and (3, 10).
Let us find the
=6/3
=2
Now let us find the y intercept to write the equation in slope intercept form.
Consider the point (0, 4) to find y intercept.
Plug in the point values in slope intercept form:
4=2(0)+b
Solve for b:
b=4
The equation in slope intercept form is y=2x+4.
Now let us find the value of y when x=6.
Plug in x as 6 in the equation y=2x+4.
y=2(6)+4
y=12+4
y=16
Hence, the value of y is 16 when x is 6.
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We know x+y=0; so, if x=6 y= -6