In the diagram below, what is the approximate length of the minor arc de? "if you can, explain "

D) 23.6 cm

Step-by-step explanation:

We first find the circumference of the circle. Circumference is given by the formula

C = 2πr, where π = 3.14 and r is the radius.  The radius of our circle is 15 cm; this gives us

C = 2(3.14)(15) = 94.2.

Next we find the portion of the circumference associated with the given arc.  The measure (in degrees) of the arc is 90°; this makes it 90/360 of the circle.  90/360 simplifies to 1/4; this means this arc is 1/4 of the circumference:

1/4(94.2) = 23.55

This rounds to 23.6.

25.2

step-by-step explanation:

2+4x6-8/10= 25.2

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15