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prohojiy [21]
2 years ago
11

Can anyone answer this

Mathematics
1 answer:
erik [133]2 years ago
5 0

Answer:

Step-by-step explanation:

1. 10² + 7² = x²

 149 = x²

 x = √149

2. x² + 19² = 21²

 x² = 21² -  19² = 80

 x = √80 = 4√5

3. x² + 16² = 27²

 x² = 27² - 16² = 473

 x = √473

4. 5.3² + 12.8² = x²

 191.93 = x²

 x = √191.93

5. 9² + 20² = x²

 481 = x²

 x = √481

6. 31 = x + 2√(19²-17²) = x + 2·6√2 = x + 12√2

 x = 31 - 12√2

 

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Radius is 6 height is 4 what is the volume rounded to the nearest hundredth
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Step-by-step explanation:

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2 years ago
The sum of the arithmetic progression 4, ..., 76 is 1920. Find the number of terms and the common difference.​
valkas [14]

<u>Number of terms = 48</u>

<u>common difference = 1.5</u>

This question involves the concept of Arithmetic Progression.

  • The formula for sum of an arithmetic progression series with first and last term given is;

S_{n} = \frac{n}{2}(a + l)

where;

a = first term

l = last term

n = number of terms

  • From the given sequence, we see that;

first term; a = 4

last term; l = 76

Sum of A.P; S_{n} = 1920

  • Plugging in relevant values into the sum of an AP formula, we have;

1920 = \frac{n}{2}(4 + 76)

simplifying this gives;

1920 = 40n

n = 1920/40

n = 48

  • Formula for nth term of an AP is;

t_{n} = a_{1} + (n - 1)d

where;

a_{1} is first term

d is common difference

n is number of term

t_{n} is the nth term in question

the 48th term is 76

Thus;

76 = 4 + (48 - 1)d

76 - 4 = 47d

72 = 47d

d = 72/47

d ≈ 1.5

Thus;

Number of terms = 48

common difference = 1.5

Read more at; brainly.com/question/16935540

4 0
3 years ago
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