Answer:
To round 2.85 to the nearest hundredth, since there is no number after the hundredth value, the number would remain 2.85
Step-by-step explanation:
the hundredth is the second number after the decimal place. To convert to the nearest hundredth, look at the number after the hundredth (the thousandth). If the number is greater or equal to 5, add 1 to the hundredth figure. If this is not the case, add zero
for example, 2.8561 to the nearest hundredth is 2.86
2.8541 to the nearest hundredth is 2.85
2.85 to the nearest hundredth is 2.85
The length of hypotenuse when the value of legs of a right angled triangle are 7 and 7 feet is 9.9 feet.
Given that a and b are legs and c is the hypotenuse. length of legs of a right angled triangle are 7 feet and 7 feet.
We have to find the value of c in the right angled triangle.
In this we have to apply pythagoras theorem because it says tat the square of hypotenuse is equal to the sum of squares of base and perpendicular of that right angled triangle.
![H^{2} =P^{2} +B^{2}](https://tex.z-dn.net/?f=H%5E%7B2%7D%20%3DP%5E%7B2%7D%20%2BB%5E%7B2%7D)
H=c
P=7 feet
B=7 feet.
Put the values in the above rule:
![c^{2} =7^{2} +7^{2}](https://tex.z-dn.net/?f=c%5E%7B2%7D%20%3D7%5E%7B2%7D%20%2B7%5E%7B2%7D)
=49+49
=98
c=9.899
After rounding off to nearest tenth we will get c=9.9.
Hence the value of c is 9.9 which is the length of hypotenuse.
Learn more about pythagoras theorem at brainly.com/question/343682
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Answer:
(3/8) + (1/8)cos 4x - (1/2)cos 2x
Step-by-step explanation:
sin^(4) x = (sin² x ) (sin² x) ------ (1)
Recall double angle identity: cos 2x = 1 - 2 sin² x
or sin² x = (1/2) (1 - cos 2x)
substituting this into (1)
sin^(4) x = (sin² x ) (sin² x) = [ (1/2)(1-cos 2x) ]²
= (1/4) ( 1 - 2 cos 2x + cos²2x) ------(2)
Also recall double angle identiy : cos 2x = 2 cos² x - 1
or cos² x = (1/2) ( 1+ cos 2x)
or cos² 2x = (1/2) ( 1+ cos 4x)
substituting this into (2)
(1/4) ( 1 - 2 cos 2x + cos²2x)
= (1/4) [ 1 - 2 cos 2x + (1/2)(1 + cos 4x) ] (expand and reduce)
= (3/8) + (1/8)cos 4x - (1/2)cos 2x
Answer:
3.305 m or ≈ 3.31 m
Step-by-step explanation:
1.5 cm *(1m/100 cm) = 0.015 m
Height of Ahmad's brother = 1.66 m - 0.015 m = 1.645 m
The sum of height of Ahmad and his brother =
= 1.645 m + 1.66 m = 3.305 m or ≈ 3.31 m
Answer:
n=0
Step-by-step explanation:
(n-3) * (-6) = 18
Divide each side by -6
(n-3) * (-6)/ -6 = 18/-6
n-3 = -3
Add 3 to each side
n-3+3 = -3+3
n = 0