Set G is the set of positive integers divisible by 4 and Set F is the set of perfectsquares. List the first 5 elements of set H, which contains numbers in G that are
also elements of F.

Answers

Answer 1
Answer:

Greetings from Brasil...

G = {4; 8; 12; 16; 20; 24; 28; 32; 36; 40; 44; 48; 52; 56; 60; 64; 68; 72; 76; 80; 84; 88; 92; 96; 100; 104; ...}

F = {1; 4; 9; 16; 25; 36; 49; 64; 81; 100; ...}

So, according to the statement, it is desired:

G ∩ F - the intersection between the 2 sets, that is, which numbers are present simultaneously in the 2 sets....

Looking at the sets we conclude that

G ∩ F = {4; 16; 36; 64; 100}

OBS: note that in truth G are the multiples of 4

Answer 2
Answer:

Final answer:

The first five elements of set H, which include positive integers divisible by 4 that are also perfect squares, are 4, 16, 36, 64, and 100.

Explanation:

The two sets mentioned in the problem are Set G, which contains positive integers divisible by 4, and Set F, which contains perfect squares. The intersection of these two sets is Set H. To find the elements of Set H, we look for numbers that are both divisible by 4 and perfect squares. The first five such numbers are 4, 16, 36, 64, and 100. For example, 16 is both a multiple of 4 and a perfect square because it can be expressed as 4*4 and is the square of 4. Similarly, 36 fits both criteria because it can be expressed as 4*9 and is the square of 6. We continue this pattern to identify the first five elements of Set H.

Learn more about Intersection of Sets here:

brainly.com/question/33193647

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Which fractions are equivalent to - 4/9 ?Choose all answers that are correct.

A.
-2/5

B.
-8/18

C.
16/-36

D.20/45

Answers

b] -8/18

-4/9 times 2=-4/9

Evaluate the expression for x = 4, y = 1:

x + 12
y + 3

Answers

16 on the top and 4 on the bottom

Find the measure of each angle indicated

Answers

Θ≈44.29

Working: 
We need to use inverse trigonometric functions to evaluate the angle 
Note that tan(Θ)=o/a where
o=opposite side & a=adjacent side (the last being the hypotenuse) 
The inverse being Θ=arctan(o/a) 
We substitute the given sides to get Θ=arctan(4/4.1) 
Put this into the calculator and the result is ≈ 44.2926806315
Rounded off to 2 decimal places: Θ≈44.29
N.B. arctan usually appears on a calculator as tan to the power of -1

What two numbers multiply to be negative 35 and add up to 2

Answers

Seven and five because seven times five is thirty five and seven minus five is two

Trapezoid TUVM is rotated 90 counterclockwise about the origin. After the rotation, what is the location of vertex V?A (2,-6)

B (-6,2)

C (6,-2’

D (-2,6)

Answers

Answer:

D

Step-by-step explanation:

Under a counter clockwise rotation about the origin of 90°

a point (x, y ) → (- y, x ) , then

V (6, 2 ) → V' (- 2, 6 ) → D

Jack wants to plant a border of flowers in the shape of an arc along the edge of a circular walkway. of the circle has a radius of 5 yards and the angle subtended by the arc measures 1 1/2 radians, what is the length, in yards, of the border

Answers

To solve this problem you must apply the proccedure shown below:

 1. You must apply the formula for calculate the arc length, which is:

 arc length=(angle)(radius)

 2- As you can see, the circle has a radius of 5 yards and the angle subtended by the arc measures 1 1/2 radians. Therefore, you have:

 The angle is:

 1 1/2 radians=1.5 radians

 3. When you susbtitute these values into the formula, you obtain:

 arc length=(1.5 radians)(5 yards)
 arc lenght=7.5 yards

 4. Therefore, the answer is: 7.5 yards.