what is 1,112,433 rounded to the nearest ten thousand a.1,120,000 b.1,200,000 c.1,100,000 d.1,110,000
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A number, n, is added to 15 less than 3 times itself. The result is 101. Which of the following can be an equation can be used to find the value of n?a.n + (3n - 15) = 101 b.4n - 15 = 101
And the last question is:The sum of two consecutive integers is at least 14. What is the least possible pair of integers? A) 4 and 5 B) g and 7 C) 7 and 8 D) 8 and 9
T is between points D and S. DT = 27 and TS = 35.What is DS?DS = _________ please help ASAP
526.30 round the nearest 10 dollar
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Final answer:
In the scenario, a right triangle is formed with the board, the ground, and the wall. We use the Pythagorean theorem to find the height the board will reach up the wall and get the result as 8 feet.
Explanation:
This is a geometry problem where we need to determine the height the board will reach up the wall. This appears to be a right triangle since the board is leaning against the wall. The length of the board is the hypotenuse (10 feet), and the distance from the wall is one of the legs of the triangle (6 feet).
To find the height the board will reach up the wall, which is the other leg of the triangle, we can use the Pythagorean theorem: a² + b² = c² where a and b are the legs and c is the hypotenuse.
Substitute the given values to the formula: a² + 6² = 10²
Solving this equation gives: a² = 10² - 6²
Then, a² = 64
So, a = √64 = 8
Thus, the height the board will reach up the wall is 8 feet.
Learn more about the Pythagorean theorem here:
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2n + 5
n = 1 to n = 12
2(1) + 5 = 2 + 5 = 7
2(2) + 5 = 4 + 5 = 9
2(3) + 5 = 6 + 5 = 11
2(4) + 5 = 8 + 5 = 13
2(5) + 5 = 10 + 5 = 15
2(6) + 5 = 12 + 5 = 17
2(7) + 5 = 14 + 5 = 19
2(8) + 5 = 16 + 5 = 21
2(9) + 5 = 18 + 5 = 23
2(10) + 5 = 20 + 5 = 25
2(11) + 5 = 22 + 5 = 27
2(12) + 5 = 24 + 5 = 29
Sum: 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23 + 25 + 27 + 29 = 216
A. h = 3 m; r = 3 m
B.h = 4.23 m; r = 5 m
C.h = 15 m; r = 6 m
D.h = 33.75 m; r = 2 m
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Cone-shaped filter: height = 4m ; diameter = 9m
cylinder: one full cone-shape filter fills 1/5 of the cylinder
volume of the cone = π r² h/3 = 3.14 * (4.5m)² * 4m/3
V = 3.14 * 20.25m² * 1.33m
V = 84.57 m³
84.57 m³ ÷ 1/5 = 84.57 m³ * 5 = 422.85 m³ volume of the cylinder
Volume of cylinder = π r² h
Choice A: V = 3.14 * (3m)² * 3m = 3.14 * 9m² * 3m = 84.78 m³
Choice B: V = 3.14 * (5m)² * 4.23m = 3.14 * 25m² * 4.23m = 332.10 m³
Choice C: V = 3.14 * (6m)² * 15m = 3.14 * 36m² * 15m = 1695.60 m³
Choice D: V = 3.14 * (2m)² * 33.75 m = 3.14 * 4m² * 33.75m = 423.90 m³
The closest answer is Choice D. height = 33.75 m ; radius = 2 m
D ∩ E = E
D ∩ E = Ø
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If every element of a set D is an element of set E, then D is the subset of E.
e.g
D={1,2,3}, E={1,2,3,4}
As all the elements of D are in E, so D is the subset of E.
Now the intersection of two sets D and E is the set of all elements which belong to both D and E.
As, in our example the set D={1,2,3} is the intersection of set D and set E.
From the above discussion, it is proved that If set D is not the empty set but is a subset of set E then
D ∩ E = D is the true answer.
Answer:
first one is correct the one that is =D
Step-by-step explanation:
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