[Daniel Die]

Plants:<div>

1. Cacti have adapted to the desert by storing water in their thick, fleshy stems and leaves. Example: Saguaro cactus.

2. Succulent plants have thick, water-retaining leaves to conserve moisture. Example: Aloe vera.

3. Desert plants often have shallow but widespread root systems to capture as much water as possible when it rains. Example: Joshua tree.

•Animals:-</div>

1. Some desert rodents are nocturnal, coming out only at night to avoid the extreme daytime heat. Example: Kangaroo rat.

2. Camels have adapted to the desert by storing water and fat in their humps, which allows them to go for long periods without food or water. Example: Dromedary camel.

3. Desert snakes have adapted to conserve water by not sweating or urinating as much as other snakes. Example: Sidewinder rattlesnake.

• This reply was modified 1 year, 9 months ago by  Daniel Die.

[Daniel Die]

The easiest way to find the perimeter of a rectangle if only one side is given is to use the formula for the perimeter of a rectangle:-
Perimeter = 2(Length + Width).

P = 2(l+w).

•If we only know the length or the width of the rectangle, we can still use this formula by using the given side as either the length or the width.

●For example, if we only know the length of the rectangle, we can use it as the length in the formula and solve for the width using algebra. Once we have both the length and the width, we can plug them into the formula to find the perimeter.

•To prove that a trapezium has angles, we can use the fact that a trapezium is a quadrilateral with one pair of parallel sides. Since a quadrilateral has a total of four angles, and two of the sides of a trapezium are parallel, the opposite angles will be equal. This means that we can divide the trapezium into two triangles by drawing a diagonal from one vertex to the other. Each of these triangles has three angles, and since the opposite angles of the trapezium are equal, the two triangles will have one common angle. This common angle, along with the other two angles from each triangle, forms the four angles of the trapezium. Therefore, we can conclude that a trapezium has angles.

Hope it helps

• This reply was modified 1 year, 9 months ago by  Daniel Die.

[Daniel Die]

We know

“the Pythagorean theorem or Pythagoras’ theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.”

First, we can use the Pythagorean theorem to find the length of side AC: <div>

•AC² = AB² + BC²- 2(AB)(BC) cos(A)

<div>

•AC² = 8² + 10² – 2(8)(10) (cos(60))

•AC² = 164

•AC = √(164) = 2√(41)

<div>Next, we can use the fact that AD is the height of triangle ABC, and that triangle ABD is a 30-60-90 triangle, to find the length of AD:
•AD = AB/2 × √(3)</div><div>

•AD = 4 √(3)

Therefore, the length of segment AD is 4√(3) units.

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• This reply was modified 1 year, 9 months ago by  Daniel Die.