Answer:
Area of the given kite = 84 square inches.
Step-by-step explanation:
Properties of the diagonals of a kite,
1). Diagonals are perpendicular to each other.
2). Longer diagonal bisects the smaller one.
Therefore, Length of smaller diagonal BD = 2×6 = 12"
In right ΔAEB,
m∠ABE = m∠EAB = 45°
Therefore, in isosceles triangle AEB,
AE = BE = 6"
Now the length of longer diagonal AC = AE + EC
AC = 6" + 8"
= 14"
Area of the given kite ABCD = 
= 
= 
= 84 square inches
Left to right. Whatever comes first (multiplication or division) you do. This is all part of the PEMDAS/Order of operations.
Hopefully I solved your problem! :)
To solve this problem, we first have to combine the two fractions on the left side of the equation. To do this, we must make a common denominator of 8. Because 8/8 is equal to 1, we can substitute this value into the equation:
3x/8 - 8/8 = 5/8
Next, we can subtract the fractions on the left side of the equation to simplify. Remember that if fractions have the same denominator, we simply subtract their numerators and keep the difference over the common denominator.
3x - 8/8 = 5/8
Since both sides of the equation have a denominator of 8, we can cancel out this denominator on both sides by multiplying both sides by 8. This gives us:
3x - 8 = 5
Next, we should add 8 to both sides of the equation so that we can get all of the constants to the right side of the equation.
3x = 13
Finally, we should divide both sides by 3 to get the variable alone on the left side of the equation.
x = 13/3
Therefore, your answer is x = 13/3.
Hope this helps!
Answer:
Step-by-step explanation:
If we open the surface of the pole and lay it flat, we will get a rectangle with the red stripe as a diagonal.
l = 260 cm.
The width of the rectangle is enough for two revolutions (i.e., twice the circumference).
w = 2C = 2 × 2πr = 4π × 14/2 = 28π cm = 87.96 cm
Length of stripe
The stripe is the diagonal of the rectangle.
d² = 260² + (28π)² = 67 600 + 87.96² = 67 600 + 7738 = 75 338
d = √(75 338) = 274.5 cm
Angle with horizontal
tanθ = 260/(28π) = 260/87.96 =2.956
θ = arctan2.956
θ = 71.3°
The stripe is 
long and the angle with the horizontal is 
.
The answer to number 5 would be negative 8 and 1/12.
Hope this helps!!
