Answer:
C
Step-by-step explanation:
3 5/9 is the equavilent to 3.5555555556
This decimal is closet to C because you'd have to round up to make the decimal only in the tenths place
Hope it helps! Good luck!
The expression above is an example of a polynomial. See the explanation below for how it works.
<h3>What is a polynomial?</h3>
Polynomials are the sums of terms of the form k⋅xⁿ, where k is any number and n is a positive integer.
<h3>What is an example of how a polynomial works?</h3>
Let us use the following exercise.
Give an examples polynomials p(x),g(x),q(x) and r(x), which satisfy the division algorithm and (i) deg p(x)=deg q(x)
<h3>What is the solution to the above?</h3>
(i) deg p(x) = deg q(x)
Recall the formula
Dividend = Divisor x quotient + Remainder
p(x)=g(x)×q(x)+r(x)
When the divisor is constant, the degree of quotient equals the degree of dividend.
Let us assume the division of 4x² by 2.
Here, p(x)=4x²
g(x)=2
q(x)= 2x² and r(x)=0
Degree of p(x) and q(x) is the same i.e., 2.
Checking for division algorithm,
p(x)=g(x)×q(x)+r(x)
4x² =2(2x²2)
Hence, the division algorithm is satisfied.
Learn more about Polynomial:
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Answer:
200
Step-by-step explanation:
Mode is the highest frequency of <em>1</em> number. In this case, 200 shows up the most. Therefore, your answer is C.
Answer:
30%
Step-by-step explanation:
42/140 = 0.3 = 30%
This is a tricky question to answer without diagrams and there are useful videos online. A regular triangular prism has an equilateral triangle as its base with edge length 7cm, forming a prism with a total height of 11cm. We wish to calculate the area of the 3 equal triangular faces.
The formula for area of a triangle is 0.5 x base x height. We have the base (7cm) but the problem is we do not have the height (or slant length) of the lateral faces, we only have the height of the entire prism. We must first calculate the slant length by building a triangle inside the prism which goes from the centroid of the base (the inradius) to the centre of an edge. As the base is an equilateral triangle finding the inradius is much more difficult than for a square pyramid.
inradius = 1/6 x (SQRT of 3) x length
inradius = 1/6 x (SQRT of 3) x 7cm = 2cm
We now have a right angle triangle with base = inradius, height = height of prism, and hypotenuse = slant length we need.
Use pythag to calculate hypotenuse a^2 + b^2 = c^2
2^2 + 11^2 = c^2
4 + 121 = c^2
c= SQRT(125) = 11.18cm
We now have the missing slant length or height of the lateral triangles of the prism. We can find the area of one face and multiply it by 3 to get the total surface area of the lateral faces of the pyramid.
base = 7cm
height = 11.18cm
area of triangle = 0.5 x 7 x 11.18 = 39.13cm^2
Multiply this area by 3 to get the sum of all 3 lateral triangle surface areas, total area = 117.39cm^2
