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Ray Of Light [21]
3 years ago
12

Find the greatest common factor of 8, 18, and 70.

Mathematics
1 answer:
Firlakuza [10]3 years ago
5 0

Answer:

2

Step-by-step explanation:

Find the greatest common factor of 8, 18, and 70.

Since we are looking for the Greatest Common Factor of the numbers given, we begin by factoring the numbers. It is usually easiest to start with the smallest number. Also, if there is a number that has obvious factors. In our case,  satisfies both of these:

8=2⋅2⋅2 In fact,

8 only has one unique factor! If there is to be a common factor (other than

1 ) it must be

2. We now need to check that both

18 and 70 have 2 as a factor:

18=2⋅9

70=2⋅35 Therefore, 2 is the GCF of 8, 18 and 70.

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Evaluate the geometric series
JulijaS [17]

Answer:

Option B is correct.

sum of given geometric series is, 255

Step-by-step explanation:

Evaluate the geometric series: \sum_{i=1}^{8} 2^{i-1}

we can write this as:

1+2+4+.......+128

Formula for the sum of the geometric series:

S_n = \frac{a(r^n-1)}{r-1} for r > 1

where

a is the first term

n is the number of terms

r is the common ratio

In the given series:

common ratio (r) = 2>1, n = 8 and first term(a) = 1

Since,

\frac{2}{1} = 2

\frac{4}{2} = 2 and so on...

then substitute the given values in [1] we have;

S_n = \frac{1((2)^8-1)}{2-1}

or

S_n = 256-1 = 255

Therefore, the sum of given geometric series is, 255



6 0
3 years ago
Read 2 more answers
Find the value of x in each case:
kotykmax [81]

9514 1404 393

Answer:

  x = 14°

Step-by-step explanation:

The triangle's interior angle at C is the supplement of the exterior angle marked 124°.

  C = 180° -124° = 56°

The exterior angle at B is the sum of the remote interior angles:

  6x = 56° +2x

  4x = 56° . . . . . . subtract 2x

  x = 14° . . . . . . . . divide by 4

6 0
2 years ago
Which relationship in the triangle must be true?
Paul [167]

We'll assume this is an arbitrary triangle ABC.


A) No, the sines of two different angles can be whatever they want


B) sin(B)=cos(90-B)


Yes, that's always true. The "co" in cosine means "complementary" as in the complementary angle, which adds to 90. So the sine of an angle is the cosine of the complementary angle.


C) No, the correct identity is sin(180-B)=sin B. Supplementary angles share the same sine.


D) Just like A, different triangle angles often have different cosines.


Answer: Choice B



7 0
3 years ago
Please help me guys ?
Kruka [31]

Answer: Your answer will be C and D and pls give me brainiest

Step-by-step explanation:

3 0
2 years ago
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Which graph represents the linear function y=1/5x-2​
gladu [14]

Answer: The second one

Step-by-step explanation: Y-int is -2 and the slope is 1/5 so we know its going up but very slowly

7 0
3 years ago
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