Answer:
x = 94°
Step-by-step explanation:
The measure of the chord- chord angle CED is half the sum of the arcs intercepted by the angle and its vertical angle, that is
( arc CD + arc AB ) = 82°
Multiply both sides by 2 to clear the fraction
CD + AB = 164°, that is
x + 70 = 164 ( subtract 70 from both sides )_
x = 94°
Yes
you let u = sin-1 x and dv = 1 ( so v = x)
and use the rule
INT udv = uv - INT vdu
= x sin^-1 x - INT x sin-1 x
u = sin-1 x so x = sin u
dx/du = cos u , du/dx = 1 / cos u = 1 / sqrt(1 - sin^2) = 1 / sqrt (1-x)^2
so substituting we have
INT sin-1(x) = x sin-1x - INT ( x / sqrt(1- x^2)
= x sun-1 x - ( - sqrt (1 - x^2)
= x sin-1 x + sqrt(1 - x^2) + C
Prime numbers are numbers that can only be factored by one and itself. Since 27 has factors: 1,3,9, and 27, it is a composite number
:)
To find the length of each side of the trapezoid, you need to use the distance formula.
AB = (-3,2) and (1,5)
BC = (1,5) and (7,-3)
CD = (7, -3) and (0, -2)
AD or DA = (0,-2) and (-3,2)
Now, just use the distance formula for each line. Doing so gives us:
AB = 5
BC = 10
CD = 7.071107...
DA or AD = 5
The height is AB, the first base is BC and the second base is CD. We can plug the values for these sides into the trapezoid area formula, which is A = base 1 + base 2 all over 2 times the height. Doing so gives us 37.5 units². Therefore, the answer to your query is 37.5 units². Hope this helps and have a nice day!
Answer:
18
Step-by-step explanation:
Each page has 6 stamps. There are 3 pages. This is a simple multiplication problem, and so you do 3x6 to find the total number of stamps Kyle has. Thus, 3 times 6 is 18.
visual:
Page One: 6 stamps
Page Two: 6 stamps
Page Three: 6 stamps
6 + 6 + 6 = 18 (or just do 6x3)
