The area of a triangle is half of that of a parallelogram with the same base and height.
The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.
The area of a triangle can be calculated using the formula:
A = (1/2) × b × h
where "b" is the base of the triangle and "h" is its height.
The area of a parallelogram can be calculated using the formula:
A = b × h
Where "b" is the base of the parallelogram and "h" is its height.
This relationship between the height of a parallelogram and a triangle with an equal area can be represented as follows:
Area of parallelogram = 2 * Area of triangle
So, the area of a triangle is half of that of a parallelogram with the same base and height.
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Answer:
The formula for the area of a parallelogram is A = bh, and the formula for area of a triangle is A = 1/2bh. Since a triangle is half of the area of a parallelogram with the same base and height, the only difference in the formula is 1/2.
Step-by-step explanation:
of the blue prism. Which statement is true?
a)The height of the red prism is one-third the height of the blue prism.
b)The height of the red prism is the same as the height of the blue prism.
c)The height of the red prism is six times the height of the blue prism.
d)The height of the red prism is three times the height of the blue prism.
Answer:
d) the height of red prism is three times the height of the blue prism.
Step-by-step explanation:
i) the volume of a rectangular prism is given by area of base height.
ii) volume of the blue prism is = (base of blue prism) (height of blue prism)
iii) volume of red prism is = (base of red prism) ( height of the red prism)
= ( base of blue prism) ( height of red prism)
iv) it is also given that
volume of blue prism = volume of red prism
⇒ (base of blue prism) (height of blue prism) = (base of red prism) (height of red prism)
⇒(base of blue prism) (height of blue prism) = ( base of blue prism) (height of red prism)
⇒ (height of blue prism) = (height of red prism)
∴ height of red prism = 3 height of blue prism
Therefore the correct option is
d) the height of red prism is three times the height of the blue prism.
B) 106.17
C) 103.78
D) 108.57
Answer:
1) The temperature of Bryan is 101.39°
Step-by-step explanation:
Here, the Temperature of Isabell is given = 103.78 degrees
Now, the temperature of Bryan = Iaabell's Tempt. - 2.36
So, temperature of Bryan = (103.78 - 2.36) degrees
= 101.4 degree
Hence, the temperature of Bryan = 101.4 degree
So, the most appropriate option is 101.39°
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If the sum of two numbers is 45 and their product is 500 the numbers are 25 and 20 respectively.
A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Let, The two numbers are a and b.
Given, a + b = 45...(1) and ab = 500...(2)
(a + b)² = a² + 2ab + b².
2025 = a² + b² + 1000.
a² + b² = 1025.
Now,
(a - b)² = a² + b² - 2ab.
(a - b)² = 1025 - 1000.
(a - b)² = 25.
(a - b) = 5....(3)
Now, Adding eqn(1) and eqn(2) we get,
2a = 50.
a = 25 and hence b = 20.
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what is the new number?