Answer:
Perimeter: 16x + 16
Area: 40x + 15
Step-by-step explanation:
Remember, the perimeter is the sum of all the sides of a figure, it can be found by adding up all the sides. The area is the space within the figure, in the case of a quadrilateral can be found by multiplying the length by the width. Finally, in a rectangle, the opposite sides are congruent, parallel, and intersect in 90degree (right) angles.
Using this,
1. Find the perimeter
Since opposite sides are congruent, there will be two sides with a measure of ( 8x + 3 ), and two sides with the measure of 5. Hence the sum of all the sides would be
8x + 3 + 8x + 3 + 5 + 5
Add them together,
16x + 16.
The perimeter of the figure is 16x + 16
2. Find the area,
To find the area of a rectangle, multiply the length by the width.;
( 8x + 3 ) * 5
Distribute:
40x + 15
The area of the figure is 40x + 15
Answer:
460,375
Step-by-step explanation:
Answer:
25π
Step-by-step explanation:
pi's symbol is π, which will be used sometimes to make it easier later
The circumference is equal to diameter multiplied by pi. (Diameter is the length across the circle, radius the center of the circle to an edge point aka. half the diameter, and circumference is the edge length aka. perimeter of the circle.)
We can then remove the pi off the 10, as the diameter multiplied by pi is the circumference, so the diameter is 10.
Half of 10 is 5, the radius.
The formula for area of a circle is radius squared times pi, remember easily by π r ^2
We can plug in the radius into the formula to get
π 5 ^2
And finish it by solving the square root to get
π 25
25π
The maximum height of the tray is 1.8 meters and the tray is in the air for 2 seconds
<h3>The maximum height of the tray</h3>
The distorted information (i.e. the function) in the question is:
h(t) = -0.2t^2 + 0.4t + 1.6
Differentiate the function
h'(t) = -0.4t + 0.4
Set to 0
-0.4t + 0.4 = 0
Subtract 0.4 from both sides
-0.4t = -0.4
Divide by -0.4
t = 1
Substitute t = 1 in h(t) = -0.2t^2 + 0.4t + 1.6
h(1) = -0.2(1)^2 + 0.4(1) + 1.6
Evaluate
h(1) = 1.8
Hence, the maximum height of the tray is 1.8 meters
<h3>Time spent in the air</h3>
In (a), we have:
t = 1
This represents the time to reach the maximum height.
The time spent in the air is:
T = 2t
This gives
T = 2 * 1
T = 2
Hence, the tray is in the air for 2 seconds
Read more about quadratic functions at:
brainly.com/question/11535666
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Answer:
C and D
Step-by-step explanation:
in equations y=4x+9 and y=4x-9 you have the same slope (4) so paralleling is guaranteed.
y=9 and y=18 you can understand as y=0x+9 and y=0x+18, so in this situation you have the same slope (0), so lines y=9 and y=18 are parallel too.
