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zhannawk [14.2K]
3 years ago
6

Which of the following are polyhedra? Check all that apply.

Mathematics
2 answers:
KengaRu [80]3 years ago
7 0
<span>In elementary geometry, a polyhedron is a solid in three dimensions with flat faces, straight edges and sharp corners or vertices. This means that the polyhedra among these are all (tetrahedron, octahedron, dodecahedron, and cube) except for pool. </span>
olga2289 [7]3 years ago
6 0
A solid figure with more than 6 plain faces: octahedron has 8, and a dodecahedron has 12. Tetrahedron only has 4 cube has 6 and idk about pool :)
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I really need help with this question
Sergeu [11.5K]

Answer:

39

Step-by-step explanation:

I assume the father's age is a 2-digit number. He is not 9 years old or younger, and he is not 100 years old or older.

The sum of the digits of a two-digit number goes up by 1 from one number to the next unless the number ends in 9.

For example, from 17 to 18, the sum of the digits goes from 8 to 9.

If the number ends in 9, for example, 29, the digits add to 11. Then the next number is 30, and now the sum of the digits is 3, which is less than 11.

The father's age now is a number whose sum of digits is not only greater than the sum of the digits next year, but it is 3 times greater.

Let's look at 2-digit number and the next number and the sum of their digits.

19, 20; sums: 10, 2; 10/2 = 5, not 3

29, 30; sums: 11, 3; 11/3 ≠ 3

39, 40; sums: 12, 4; 12/4 = 3

Answer: The father is 39 years old.

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2 years ago
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Nadusha1986 [10]
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A line is perpendicular to y=(-1/5)×+1 and intersects the point (-5,1)
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3 years ago
Find the vertex of the graph of f(x) = x2 + 4x - 5.
Fofino [41]
You can solve this in two ways.

1. Graphical. Plot the graph for x between -5 and 1 (see attachement).
The vertex of the graph is the peak of the curve, which has the coordinates x=-2, y=-9.

2. Analytical. Calculate the derivative of the function f(x)
\frac{df}{dx}=2x+4
Solve the equation:
2x+4=0
will give the solution x=-2.
Replace x=-2 in the f(x) function and you'll get the value of y:
(-2)^2+4 \cdot (-2)-5=4-8-5=-9

You get the same answer: x=-2, y=-9

So the answer is
<span>B. (-2, -9)</span>

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3 years ago
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