For the given figure, x = 34.640 units.
Step-by-step explanation:
Step 1:
The formulae needed to solve this question are:
The triangle containing x can be split into two right-angled triangles.
So the hypotenuse of the triangle containing the length x and the already given right angle triangle's hypotenuse is the same length.
Step 2:
First, we calculate the hypotenuse of the given triangle.
The angle of the triangle is 45°, the adjacent side's length = 10√3 units. Assume the hypotenuse's length to be a units.
units.
Step 3:
For the split triangle, we have the angle as 45°, the opposite side measuring units (only half of x is in each triangle) and the hypotenuse measuring 24.498 units.
So x measures 34.640 units.
Answer:
<u>Formulas</u>
<u>Question 14</u>
If a circle is inscribed in a square, then the diameter of the circle is equal to the side length of the square. Therefore, as the radius of a circle is half the diameter, the radius of the circle is half the side length of the square.
Given:
Therefore, the areas of the square and circle are:
Therefore, the ratio of the circle to square is:
So the circle is ¹/₄π the size of the square.
<u>Question 15</u>
If a square is inscribed in a circle, then the diagonal of the square is the diameter of the circle. Therefore, as the radius of a circle is half the diameter, the radius of the circle is half the diagonal of the square.
Given:
Therefore, the ratio of the circle to square is:
So the circle is ¹/₂π the size of the square.
oceans, tropical plants, Europe
Step-by-step explanation:
Fossils on continents that are now separated by oceans support the theory of continental drift. Continents closer to the equator have warmer climates, yet fossils of tropical plants have been found on islands near the North Pole. This supports the idea that islands drifted from the equator. Coal fields in Europe match those found in North America, supporting the theory of continental drift.
The theory of continental drift was proposed by Alfred Wegener in the early part of 20th century. He suggested that the continents have once been joined together as a single landmass but have drifted to their current positions today.
- Fresh water fossils of organisms like Mesosaurus was found in parts of South America and Southern Africa. These organisms could not have swim between the oceans since they are localized to freshwater environments.
- Tropical plants have also been found in regions of the north pole.
- Coal fields in north America correlated with those in South America and this provided support to the theory of continental drift by Wegener.
- He also fitted the the world into a giant puzzle to support his claim.
Learn more:
Wegener brainly.com/question/5002949
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Step-by-step explanation:
y=1/4x²
using d formula of derivatives
y=nax^n-1
where your n=2 and a=1/4
so we have
y=2(1/4)x^2-1
=1/2x
Answer: D
Step-by-step explanation: common sense