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Gelneren [198K]
2 years ago
15

A walkway forms one diagonal of a square playground. The walkway is 14 m long. How long is a side of the playground?

Mathematics
1 answer:
Vilka [71]2 years ago
5 0

Answer: The side of the playground is around 10 meters long

Step-by-step explanation:

use the diagonal as the hypotenuse of a right triangle, where the sides of the square form the legs of said triangle.

Usually

a^{2} +b^{2} =c^{2}

since we know a and b are the same length (sides of a square are congruent) we would have

a^{2} +a^{2} =c^{2} \\2a^{2} =c^{2}

We know that c is 14 so

2a^{2} =14^{2} \\2a^{2} =196\\a^{2} =98\\a=\sqrt{98} \\a= 9.999

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If the first term of AP is 4 and the sum of first five term is equal to one-fourth of the sum of the next five term, then find t
patriot [66]

Answer:

15th term = 116

Step-by-step explanation:

a= 4

Sum of an A.P = n/2 {2a + (n-1)d}

sum of first five term is equal to one-fourth of the sum of the next five term

5/2{ 2*4 + (5-1)d} = 1/4 × 10/2{2*4 + (10-1)d

5/2 {8 + 4d} = 1/4 × 5{ 8 + 9d}

40/2 + 20/2d = 1/4{ 40 + 45d)

20 + 10d= 40/4 + 45/4d

20 + 10d = 10 + 45/4d

20 - 10 = 45/4d - 10d

10 =45d - 40d /4

10 = 5/4d

Divide both sides by 5/4

10 ÷5/4 = d

10×4/5 = d

40/5 = d

8 = d

d= 8

Find the 15th term

15th term = a + (n-1)d

= 4 + (15-1)8

= 4 + (14)8

= 4 + 112

= 116

The 15th term is 116

5 0
3 years ago
Simplify the expression (4 + 5i)(4 - 5i).<br>16 - 20i<br>16 + 20i<br>-9<br>41​
AnnZ [28]

Answer:

The answer i got was 41. i just took a test with the same problem and it was correct. Hope this helps.

Step-by-step explanation:

3 0
3 years ago
Does the system shown always, sometimes, or never have a solution when a &gt;b?
Rama09 [41]

Answer:

sometimes

Step-by-step explanation:when a >b?

ax+y=8

bx + y = 5

always

sometimes

O

never

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3 years ago
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sleet_krkn [62]

Answer:

B) 5x4

one its not A nor its C

its either B or D but i would go with B because D doesn't make sense all because D is saying x4^5 but its 5x^4

3 0
3 years ago
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Anastaziya [24]

Answer:

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Step-by-step explanation:

hope this help have a good day

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3 years ago
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