Solution:
<u>Note that:</u>
- Area of trapezoid = Area of triangle + Area of square = 575 m²
- Area of triangle = 32.5 m²
- Area of square = s²
<u>Finding the area of the square:</u>
- 32.5 + Area of square = 575 m²
- => Area of square = 575 - 32.5
- => Area of square = 542.5
- => s² = 542.5
- => s = √542.5 ≈ 23.29
The length of the square is 23.29 meters.
Answer:
a) there is s such that <u>r>s</u> and s is <u>positive</u>
b) For any <u>r>0</u> , <u>there exists s>0</u> such that s<r
Step-by-step explanation:
a) We are given a positive real number r. We need to wite that there is a positive real number that is smaller. Call that number s. Then r>s (this is equivalent to s<r, s is smaller than r) and s is positive (or s>0 if you prefer). We fill in the blanks using the bold words.
b) The last part claims that s<r, that is, s is smaller than r. We know that this must happen for all posirive real numbers r, that is, for any r>0, there is some positive s such that s<r. In other words, there exists s>0 such that s<r.
Answer:
C, 38°
Step-by-step explanation:
ray UW is the angle bisector of ∠VUT
--> m∠VUW = m∠WUT = 1/2 m∠VUT
<=> 4x + 6 = 6x - 10
<=> 6 + 10 = 6x - 4x
<=> 2x = 16
<=> x = 8
So, the measure of m∠WUT is: 6x - 10 = 6 . 8 - 10 = 48 - 10 = 38°
284=2x+2(x+40)
284=4x+80
204=4x
51=x
dimensions 51 ft by 91ft
Answer:
10 degrees Celsius
Step-by-step explanation:
So, the question is asking for the difference between -8 and 2.
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Explanation 1:
2 - (-8) = ?
2 + 8 = ?
10 = ?
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Explanation 2:
|2| - 0 = 2
|-8| - 0 = 8
2 + 8 = 10
