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ANTONII [103]
2 years ago
6

find the length of the hypotenuse of a right triangle with legs of 12 ft and 16 ft. A 11 ft. B 18 ft. C 20 ft. D 28 ft

Mathematics
1 answer:
9966 [12]2 years ago
3 0
C 20ft, shoukd be the answer.
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WILL GIVE 30 points a scatter plot and a possible line of best fit is shown is the line of best fit accurate for the data shown
Romashka [77]
I think It is 2. it makes the most sense to me
5 0
3 years ago
Round to the tenths place .712 .665 .545
Artyom0805 [142]

.712 rounds to .7

.665  rounds to .7

.545 rounds to .5

5 0
3 years ago
Find the sum of the geometric series 40 + 40(1.005) + 40(1.005)^2 + ⋯ + 40(1.005)^11.
KiRa [710]

Answer:

The sum is 493.4

Step-by-step explanation:

In order to find the value of the sum, you have to apply the geometric series formula, which is:

\sum_{i=1}^{n} ar^{i-1} = \frac{a(1-r^{n})}{1-r}

where i is the starting point, n is the number of terms, a is the first term and r is the common ratio.

The finite geometric series converges to the expression in the right side of the equation. Therefore, you don't need to calculate all the terms. You can use the expression directly.

In this case:

a=40

b= 1.005

n=12 (because the first term is 40 and the last term is 40(1.005)^11 )

Replacing in the formula:

\frac{a(1-r^{n})}{1-r} = \frac{40(1-1.005^{12})}{1-1.005}

Solving it:

The sum is 493.4

4 0
3 years ago
A coin is to be tossed until a head appears twice in a row. What is the sample space for this experiment? If the coin is fair, w
blsea [12.9K]

Answer:

The sample space would be infinite

{HH, TTTHH, TTTTHH, TTTTTTTHH.......................}

1/8

Step-by-step explanation:

The sample space would be infinite

{HH, TTTHH, TTTTHH, TTTTTTTHH.......................}.

This is because the number of times the coin would be flipped is not specified. So, you can keep flipping the coin forever.

If the coin is tossed four times then the sample space would be

{HHHH HTHH THHH HTHT

HHHT HTTH TTHH THTH

HHTT HHTH TTTH THHT

HTTT TTTT TTHT THTT}

HTHH and TTHH are the only two cases where two consecutive tosses will result in two heads

Probability that the coin will be tossed four times is 2/16 = 1/8

6 0
3 years ago
Solve. Simplify your answer. 5/8 x 2/3 = ?
Finger [1]
10/24 simplify to 5/12
5 0
3 years ago
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