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Nesterboy [21]
3 years ago
14

ASAP SHOW WORK PLEASE EASY GEOMETRY OR SUMTHING HELPPPPPPPPP

Mathematics
1 answer:
Alla [95]3 years ago
3 0

Answer:

Number 1 can form a right triangle. Numbers 2 & 3 cannot.

Step-by-step explanation:

To check if the sides are a right triangle, check if the sum of the squares of the two smaller sides equals the length of the square of the longest side. In other words, do the Pythagorean Theorem.

5² + 12² = 13²

25 + 144 = 169

169 = 169

<u><em>They are equal therefore Number 1 can form a right triangle.</em></u>

5² + 7² = 9²

25 + 49 = 81

74 = 81

<em>They are not equal, therefore Number 2 can't form a right triangle.</em>

<em />

10² + 12² = 30²

100 + 144 = 900

244 = 900

<em>They are not equal, therefore Number 3 can't form a right triangle.</em>

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the sum of the first six terms of a geometric series is 21/16 . if the common ratio is -1/2 , what is the first term?
Oksanka [162]

Answer:

-84

Step-by-step explanation:

The formula for the nth term of a geometric progression is

Un = ar^n- 1

The sum of the first six terms of a geometric series (U6) = 21/16

Common ratio = -1/2 ,

a = First term ??

21/16 = a × (-1/2 )^6- 1

21/16 = a ×(-2^-1)^5

21/16 = a × -2^-6

Cross Multiply

16 × a × -2^-6 = 21

a = 21/16 × -2^-6

a = 21/16 ×- 1/2⁶

a = 21/16 × -1/64

a = 21 ÷(-1/4)

a = 21 × -4

a = -84

The first term = 84

8 0
2 years ago
The product of two consecutive integers is 30. What are the integers?
Nadusha1986 [10]

a negative times a negative is a positive answer so both 5 *6 and -5 *-6 = 30

the answer is C

3 0
3 years ago
Read 2 more answers
Which of the below descriptions shows a possible HAMILTON PATH?
ra1l [238]

Option B: FECBAD represents the Hamilton path

Explanation:

The vertices in the given graph are A,B,C,D,E and F

We need to determine the Hamilton path of the given graph.

By definition, we know that a Hamilton path touches each and every vertex in a graph exactly once.

Hence, we need to connect the vertices in such a way that the graph touches each and every vertex exactly once.

Option A: EFADECBA

From this description, we can see that the path starts from the vertex E and connects all the vertices but some of the vertices are repeated twice.

Hence, the path EFADECBA is not a Hamilton path.

Therefore, Option A is not the correct answer.

Option B: FECBAD

From this description, we can see that the path starts from the vertex F and connects all the vertices exactly once.

Hence, the path FECBAD is the Hamilton path.

Therefore, Option B is the correct answer.

Option C: ADEFBC

From this description, we can see that the path starts from the vertex A and connects all the vertices but the path from F to B has to touch the vertex A. Thus, the vertices are repeated twice.

Hence, the path ADEFBC is not a Hamilton path.

Therefore, Option C is not the correct answer.

Option D: ADECBAFE

From this description, we can see that the path starts from the vertex A and connects all the vertices but some of the vertices are repeated twice.

Hence, the path ADECBAFE is not a Hamilton path.

Therefore, Option D is not the correct answer.

6 0
3 years ago
The interval (-1, 1) is best described as
Bad White [126]

Answer: There's an increasing interval between -1 and 1

While x goes from -1 to 1, the value of y increases (from -2 to 2).

7 0
2 years ago
A cupcake shop uses 1/3 pounds of cinnamon to make 4 batches. How much do they use per batch?
tiny-mole [99]
1/12 of a pound.
you must use the reciprocal of 4, 1/4, then multiply. so 1/3*1/4= 1/12
5 0
3 years ago
Read 2 more answers
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