The answer is $3,850 and have a very nice day
Answer:
For right angle triangle,
we use Pythagoras theorem that is:
![c^{2} =a^{2} +b^{2}](https://tex.z-dn.net/?f=c%5E%7B2%7D%20%3Da%5E%7B2%7D%20%2Bb%5E%7B2%7D)
c = ![\sqrt{a^{2} +b^{2} }](https://tex.z-dn.net/?f=%5Csqrt%7Ba%5E%7B2%7D%20%2Bb%5E%7B2%7D%20%7D)
For question 1:
c = ?
a = 40
b = 9
putting them in formula,
c = ![\sqrt{40^{2} + 9^{2} }](https://tex.z-dn.net/?f=%5Csqrt%7B40%5E%7B2%7D%20%2B%209%5E%7B2%7D%20%7D)
c = 41
For question 2:
c = ?
a = 12
b = 13
putting them in formula,
c = ![\sqrt{12^{2} + 13^{2} }](https://tex.z-dn.net/?f=%5Csqrt%7B12%5E%7B2%7D%20%2B%2013%5E%7B2%7D%20%7D)
c = approximately 17.69181
For question 3:
c = 35
a = 20
b = ?
putting them in formula,
![c^{2} =a^{2} +b^{2}](https://tex.z-dn.net/?f=c%5E%7B2%7D%20%3Da%5E%7B2%7D%20%2Bb%5E%7B2%7D)
![35^{2} = 20^{2} + b^{2}](https://tex.z-dn.net/?f=35%5E%7B2%7D%20%3D%2020%5E%7B2%7D%20%2B%20b%5E%7B2%7D)
1225 = 400 + ![b^{2}](https://tex.z-dn.net/?f=b%5E%7B2%7D)
= 1225 - 400
= 825
![\sqrt{b^{2} } = \sqrt{825}](https://tex.z-dn.net/?f=%5Csqrt%7Bb%5E%7B2%7D%20%7D%20%3D%20%5Csqrt%7B825%7D)
b = 5 ![\sqrt{33}](https://tex.z-dn.net/?f=%5Csqrt%7B33%7D)
For question 4:
c = 37
a = 20
b = ?
putting them in formula,
![c^{2} =a^{2} +b^{2}](https://tex.z-dn.net/?f=c%5E%7B2%7D%20%3Da%5E%7B2%7D%20%2Bb%5E%7B2%7D)
![37^{2} = 20^{2} + b^{2}](https://tex.z-dn.net/?f=37%5E%7B2%7D%20%3D%2020%5E%7B2%7D%20%2B%20b%5E%7B2%7D)
1369 = 400 + ![b^{2}](https://tex.z-dn.net/?f=b%5E%7B2%7D)
= 1369 - 400
= 969
Taking square root on both sides
b = 31.12
Hope it helps.
They are similar. Set the proportions equal to each other
(x + 8)/8 = (x+14)/12
Cross multiply
(x + 8)/8 (8)(12) = (x + 14)/12 (12)(8)
12(x + 8) = 8(x + 14)
Distribute the 12 and 8 to the corresponding monomials inside the parenthesis
12(x + 8) = 12x + 96
8(x + 14) = 8x + 112
12x + 96 = 8x + 112
Isolate the x. Subtract 8x from both sides and 96 from both sides
12x (-8x) + 96 (-96) = 8x (-8x) + 112 (-96)
12x - 8x = 112 - 96
4x = 16
Isolate the equal sign. Divide 4 from both sides
4x/4 = 16/4
x = 16/4
x = 4
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4 is your answer for x
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hope this helps
Answer: If this isnt wrong then I probably forgot how to do this... You plug in 10 with
10^2. so then you'll get 100 time pi and youll get 314.159265.
Answer:
sin x° = Opposite / Hypotenuse
x = 3.38
Step-by-step explanation:
sin 70° = x / 3.6
sin 70° × 3.6 = x
x = 0.93969262079 × 3.6
x = 3.38289343483 ~ 3.38