Use the cosine formula
Cos(angle) = adjacent/ hypotenuse
cos(30) = x/8
Cos(30) can be written as sqrt(3)/2
Now you have :
sqrt(3)/2 = x/8
Multiply both sides by 8:
X = sqrt(3)/2 x 8
Simplify:
X = 4sqrt(3)
Answer:
<u>The</u><u> </u><u>requ</u><u>ired</u><u> </u><u>num</u><u>ber</u><u> is</u><u> </u><u>7</u><u>0</u><u>.</u>
Step-by-step explanation:
let the no. be 10y + x where x is unit digit and y is ten's digit.
given , sum of the digit is 7
x + y = 7 ...(1)
also , reversing the no. we get 10x + y ,where x is ten's digit and y is unit digit.
given reversed digit decreases the number by 63 .
so, 10y + x - ( 10x + y ) = 63
9y -9x = 63
( dividing both side by 9 )
y - x = 7 ....(2)
adding 1 and 2 [ refer attachment ]
so the required original number is
10y + x = 10×7+0 = 70
The greatest common factor is 2ab
To determine this you need to determine what is divide in both 18 and 8. The only number that can divide in both numbers is 2. Which means they have a common factor/number. And then you continue looking at the expression and see what other numbers or letters are common. The only common thing besides the number is a and b since it’s found in both. There is no c in 18ab.
Hope this makes sense
Please mark as a brainliest (crown) above my comment. Would be much appreciated
Divide the nonagon radially into 9 congruent, equilateral isosceles triangle. Each triangle has vertex angle of 360°/9 = 40°.
Interior angle of polygon = 180°-40° = 140°.
Sum of interior angles = 9(140°) = 1260°
The formula for volume is width * height * length or w*h*l. to do this problem you have to do 8*6*10 which is 480. so, the volume of the room is 480 ft^3 (cubed).