First, we have to solve the sides of the right triangle by using the Pythagorean theorem: a² + b² = c² where c is the length of the hypotenuse. Then, we can use the legs as length and height of the triangle and find the area by 1/2(base x height).
x² + 60² = 68²
x² + 3600 = 4624
x² = 1024
x = √1024
x = 32 = length of the other side
A = (1/2)(32) (60) = 960 mm²
Answer:
Length of the minor arc AB = 5.27777777778 cm
Step-by-step explanation:
Here you would require a simple proportionality.
The ratio of the degree of the minor arc (95 degrees) over the total, 360 degrees of every circle, comparative to the length of the minor over the circumference (20 cm).
Here we can propose that the length of the minor can be equal to x.
Now let's substitute the known values:
95 / 360 = x / 20
Now cross multiply:
360 * x = 95 * 20 ⇒
360x = 1900 ⇒
x = 5.27777777778 ⇒
length of the minor arc AB = 5.27777777778 cm
Answer:
$60
Step-by-step explanation:
So from the question, we need to find the fixed amount for the tv's. So we have to make an equation, and don't forget to add the extended warranties:
11(x + 25) = 935
x will represent a tv, and the 25 is the extended warranty for a tv, since the questions states 11 tv's with warranties is 935, the equation will look like that. Now lets slove:
11(x + 25) = 935
multiply
11x + 275 = 935
subtract 275 from both sides
11x = 660
divide both sides by 11
x = 60, each tv is $60
