Answer:
13yd
Step-by-step explanation:
Perimeter is all the side lengths added
<u>Given</u>:
The height of the bird at time t is given by the function 
We need to determine the time it takes the worm to be eaten by the bird.
<u>Time taken:</u>
The time can be determined by substituting h(t) = 0 in the function.
Thus, we have;

Switch sides, we get;

Let us solve the equation using the quadratic formula.
Thus, we get;

Simplifying, we get;



The values of t are given by
and 
and 
and 
Since, the value of t cannot be negative, then 
Thus, the time taken by the bird to eat the worm is
seconds.
Hence, Option B is the correct answer.
Answer:
there are 36 girls
Step-by-step explanation:
ratio is 3 to 4
Answer:
<h3>X = 142°</h3><h3>Y = 38° </h3>
<em><u>Given </u></em><em><u>-</u></em><em><u> </u></em> AC is parallel to DE
angle 3y + 28 = angle X ( Vertically opposite angles are equal).
3y + 28 = X
X + Y = 180° ( supplementary angles).
3y - X = (-28)
Solving both the equation we get
multiply eq 1 with 3
3x + 3y = 540
-X + 3y = (-28)
subtracting
4x = 568
x = 142°
3y + 28 = 142
3y = 142 - 28
3y = 114
y = 38°
The area of the frame not covered by the painting is 192 square inches
<em><u>Solution:</u></em>
Given that, A rectangular painting is 24 inches wide and 20 inches tall without the frame
The area of rectangle is given as:

<em><u>Find the area of painting without frame:</u></em>
Length = 20 inches
Width = 24 inches

Thus area of painting without frame is 480 square inches
With the frame, it is 28 inches wide and 24 inches tall
<em><u>Find the area of painting with frame:</u></em>
Length = 24 inches
Width = 28 inches

Thus area of painting with frame is 672 square inches
<em><u>What is the area of the frame not covered by the painting</u></em>
Area of the frame not covered by the painting = Area with farme - Area without frame
Area of the frame not covered by the painting = 672 - 480 = 192
Thus the area of the frame not covered by the painting is 192 square inches