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AVprozaik [17]
3 years ago
9

What is the height of a triangle if the base is 60 and the hypotenuse is 61?

Mathematics
1 answer:
lions [1.4K]3 years ago
8 0

Assuming that the triangle is a right triangle, we can reverse engineer the Pythagorean theorem (a^2+b^2=c^2).

60^2 + x^2 = 61^2

3600 + x^2 = 3721

x^2 = 3600 - 3721

x^2 = 121

x = sqrt121

x = 11

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1; 4; 16; 64; ...<br>what is the general term ​
Alborosie

Given:

The sequence is

1, 4, 16, 64

To find:

The general term of the given sequence.

Solution:

We have, the sequence

1, 4, 16, 64

Here, the ratio between two consecutive terms is same. So, it is a geometric sequence.

First term is:

a=1

Common ratio is:

r=\dfrac{a_2}{a_1}

r=\dfrac{4}{1}

r=4

The nth term of a geometric sequence is

a_n=ar^{n-1}             ...(i)

Where, a is the first term and r is the common ratio.

Putting a=1 and r=4 in (i), we get

a_n=(1)(4)^{n-1}

a_n=4^{n-1}

Therefore, the general term of the given sequence is a_n=4^{n-1}.

8 0
2 years ago
Adrianna bought 4 spiral notebooks that cost
love history [14]

Answer:

$5.46

Step-by-step explanation:

Find out how much she had to pay by multiplying the amount she got by the cost and adding the two totals together.

4*2.49=9.96

2*2.29=4.58

4.58+9.96=14.54

Subtract to find change

20-14.54=5.46

8 0
2 years ago
Find the side length s of the square.<br><br> Please help
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6/7 !!!! the answer is 6/7

Step-by-step explanation:

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6 0
3 years ago
The 175th anniversary of the completion of the Erie Canal was in the year 2000. If it took 8 years to dig the canal, in what yea
docker41 [41]

Answer:

1817

Step-by-step explanation:

2000 - 175 = 1825 and 8 years of digging 1817

8 0
3 years ago
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ololo11 [35]

The closing price on Thursday was $25.69 and on Wednesday, it went down by 0.75. and it went down again by 0.75 which brought it to $25.69.

That would mean the closing price on Wednesday was $26.44 (25.69 + 0.75)

7 0
3 years ago
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