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lilavasa [31]
3 years ago
5

Use the relationship between the

Mathematics
1 answer:
motikmotik3 years ago
4 0

The equation x° = 180° - (37°+ 53°) can be used to find the value of x.

Step-by-step explanation:

Step 1; There are three lines in the given diagram. There are a baseline and two other lines. Out of the other two lines, one extends above and below the baseline whereas the other extends only above. Since the baseline is horizontal and the others are at angles we have the sum of all the three angles as 180° i.e. 37°, x°, and 53°.

37° + x° + 53° = 180°.

Step 2; To solve the value of x, we keep the unknown value at the left-hand side whereas all the known values are taken to the right side of the equation.

x° = 180° - (37°+ 53°).

So the fifth option can be used to determine the value of x.

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Multiply 0.006 by 3.08. Express in standard form​
olga_2 [115]

Answer:

1.848 × 10^-2

Step-by-step explanation:

0.006 = 6 × 10^-3

3.08 = 3.08 × 10^0 (10^0 is equal to 1)

(6 × 10^-3) × (3.08 × 10^0) = 18.48 × 10^-3 = 1.848 × 10^-2

8 0
2 years ago
What is the fourth term of the sequence? <br> a1 = m<br> an = 2an-1<br><br> 2m<br> 4m<br> 6m<br> 8m
harkovskaia [24]

Answer:

8m.

Step-by-step explanation:

an = 2 an-1 means that each term in the sequence( except the first) is obtained by multiplying the last term by 2, so the first 4 terms are m, 2m, 4m, 8m.

3 0
3 years ago
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The first term of a geometric sequence is equal to a and the common ratio of the sequence is r.
ololo11 [35]

Answer: (a)  {a, ar, ar², ar³, ar⁴, ar⁵...}, (b)  arⁿ⁻¹

For part (a), the question gives us the first term a, and then asks us to apply the common ratio r six times.

In order for ar = a, the nth term of r will have to equal 0 (this implies that n is an exponent; thus giving us the first term a, as r = 1).

Since we use this method on the first term, we must use it for the next five, in which r gains an additional exponent for every consecutive value (nth term) thereafter.  

Ultimately getting: {a, ar, ar², ar³, ar⁴, ar⁵...}

For part (b), we first have to understand that the sequence does not start at 0, but at 1 for n. In order for ar = a, with n = 1, there needs to be subtraction of -1 within the exponent. So that arⁿ⁻¹

If we check and apply this, we can see that:

{ar¹⁻¹, ar²⁻¹, ar³⁻¹, ar⁴⁻¹, ar⁵⁻¹, ar⁶⁻¹...} = {a, ar, ar², ar³, ar⁴, ar⁵...} = arⁿ⁻¹ = Tn

4 0
3 years ago
Logan jarred 6 liters of jam after 3 days. How many days does Logan need if he wants to jar 8 liters of jam?
REY [17]

Answer:

4 days

Step-by-step explanation:

6 divided by 3= 2 liters per day

2,4,6,8

I hope it is right

5 0
3 years ago
(X-3)(x+2)=0 find the zeros
Ivanshal [37]

Answer: Min = (0.5, −6.25)

Step-by-step explanation: Standard form:

x2 − x − 6 = 0

Factorization:

(x + 2)(x − 3) = 0

Solutions based on factorization:

x + 2 = 0   ⇒   x1 = −2

x − 3 = 0   ⇒   x2 = 3

6 0
3 years ago
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