Answer:
97/4= 24.25 or as a mixed fraction =24 and 1/4
Step-by-step explanation:
97/1 ÷ 4/1
= =97×1 and 1×4
= 97/4
the answer is 24 and 1/4
Answer:
use the SOHCAHTOH method in the trigonometry
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
They can't form a triangle because the sum of 2 sidelengths is ALWAYS greater than the 3rd side in a triangle. Because 5+7=12<14, this means that it can't form a triangle.
Based on the calculations, an expression which is equivalent to [u/v](x) is: C. -x³ + x² - 1.
<u>Given the following data:</u>
<h3>What is an expression?</h3>
An expression is a mathematical equation which is used to show the relationship that exist between two or more numerical quantities or variables.
In this exercise, we would evaluate the given expressions by factorizing the function u(x) as follows:
u(x) = x⁵ – x⁴ + x²
u(x) = x²(x³ – x² + 1)
Rewriting the expressions as a fraction, we have:
Therefore, u(x)/v(x) = -x³ + x² - 1.
Read more on expressions here: brainly.com/question/12189823
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Answers:
- a) 693 sq cm (approximate)
- b) 48 sq cm (exact)
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Explanation:
Part (a)
A regular triangular pyramid, aka regular tetrahedron, has all four triangles that are identical copies of one another. They are congruent triangles. This will apply to part (b) as well.
To find the area of one of the triangles, we'll use the formula
A = 0.25*sqrt(3)*x^2
where x is the side length. This formula applies to equilateral triangles only.
In this case, x = 20, so
A = 0.25*sqrt(3)*x^2
A = 0.25*sqrt(3)*20^2
A = 173.20508 approximately
That's the area of one triangle, but there are four total, so the entire area is about 4*173.20508 = 692.82032 which rounds to 693 sq cm.
The units "sq cm" can be written as "cm^2".
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Part (b)
We'll use the same idea as part (a). But the formula to find the area of one triangle is much simpler.
The area of one of the triangles is A = 0.5*base*height = 0.5*6*4 = 12 sq cm.
So the area of all four triangles combined is 4*12 = 48 sq cm
This area is exact.
The area of each 2D flat net corresponds exactly to the surface area of each 3D pyramid. This is because we can cut the figure out and fold along the lines to form the 3D shapes.
