Can someone please help me i have no idea how to do this. Match the following. Given

D = {x | x is a whole number}

E = {x | x is a perfect square < 100}

F = {x | x is an even number between 10 and 20}

1. D ∩ (E ∪ F)
{12, 14, 16, 18}
2. D ∩ E
{1, 4, 9, 16, 25, 36, 49, 64, 81, 12, 14, 18}
3. D ∪ (E ∩ F)
{16}
4. D ∩ (E ∩ F)
{1, 4, 9, 16, 25, 36, 49, 64, 81}
5. D ∩ F
{all whole numbers}

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

i think it is c hope that

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west