Answer:
supplement is 44°
Step-by-step explanation:
supplementary angles , sum to 180°
the angles are the supplement of each other.
then the supplement of 136° = 180° - 136° = 44°
The supplement of an angle is what you would need to add to it to equal 180 degrees. So, to find the supplement of 136 degrees, you would subtract 136 from 180, which gives 44 degrees.
In Mathematics, two angles are said to be supplementary if their measurements add up to 180 degrees. Hence, to find the supplement of an angle, we subtract the given angle from 180 degrees.
In your case, to find the supplement of 136 degrees, you would subtract 136 from 180. The equation would look something like this: 180 - 136 = 44. Hence, the supplement of a 136 degree angle is 44 degrees.
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B.5+ 0.5/m
C.5+0.5m
D.5m+0.5
Answer:
Option C. 5 + 0.5m
Step-by-step explanation:
The cost of a taxi ride is = $5.00
with per mile charges = 50 cents = 0.5 dollar
If the taxi ride of m miles, to find the cost of a taxi ride, the expression will be
$5 + m($0.5)
Therefore Option C., 5 + 0.5m is the correct answer.
Answer:
The altitude is 6.53 cm
Step-by-step explanation:
A regular tetrahedron is a triangular pyramid having equilateral triangular faces, therefore we have;
Sides of the equilateral triangle = 8 cm
Given that the slant height, the edge of the tetrahedron, and half the base edge of the tetrahedron form a right triangle, we have;
The slant height, h = √(8² - (8/2)²) = √48 = 4×√3
The segment representing the altitude, H, of the tetrahedron forms a right triangle with the edge of the tetrahedron and 2/3×h
Therefore;
8² = H² + (2/3×4×√3)²
H² = 8² - (2/3×4×√3)²
H² = 64 - 64/3 = 128/3
The altitude H = √(128/3) = √6×8/3 = 6.53 cm.
The length of the diagonal cut is calculated using the Pythagorean theorem. The sides of the paper form two sides of a right-angled triangle, and by squaring and adding these lengths, then taking the square root of the result, we find that the hypotenuse, or diagonal, is 20 inches long.
In mathematics, particularly in geometry, the Pythagorean theorem is the fundamental principle used to calculate the length of the hypotenuse in a right-angled triangle. In this question, the sheet of paper can be considered a rectangle and when it is cut from one corner to the opposite corner, it forms two right-angled triangles.
The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be written as: a² + b² = c²
Here, the length and width of the paper represent the two sides of the triangle, 16 inches and 12 inches respectively, and the diagonal cut (we'll call it 'd') is the hypotenuse. Thus, the equation becomes:
12² (which equals 144) + 16² (which equals 256) equals d²
Adding 144 and 256 gives 400, so d² = 400. To find 'd', we take the square root of 400, which is 20.
So, the length of the diagonal cut that Luke made is 20 inches.
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