9514 1404 393
Answer:
Step-by-step explanation:
The marked angles are supplementary, so ...
(5x +26)° +(8x -2)° = 180°
13x = 156 . . . . . . . . . . . . . . divide by °, subtract 24
x = 12 . . . . . . . . . . . divide by 13
∠H = (8x -2)° = (8·12 -2)°
∠H = 94°
Answer:
B).
Step-by-step explanation:
Answer explantion
A) the ratio of the circumference of the circle to Pi: false
B) exactly 3.14
:true
C) the ratio of the diameter of a circle to Pi:false
D) the square of the circumference of a circle:false
Answer:
D. The pH indicates how acidic or basic a solution is.
Step-by-step explanation:
The range goes from 0 to 14, with 7 being neutral.
So.. .at the beginning of the sale, there was a total of "x" pies
now, let's see what happened to those pies
so, we had "x"
then Mary took 2, she left x - 2
Kate took half of that (x-2)/2
then 10 were sold, and 14 leftover
if we subtract all those figures, and solve for "x",
we should get what "x" was, so
notice, if we subtract what Mary took, and Kate, and the sold and leftover, from the original "x", we would end up with no pies :)
so.. just solve for "x"
The differences between the trapezoidal rule and simpson's rule is -
The trapezoidal rule and Simpson's method, the latter a set of formulas of varying complexity, are both Newton-Cotes formulas, that are used to examine and model complex curves.
<h3>What is
trapezoidal rule?</h3>
The trapezoidal rule is just an integration rule that divides a curve into small trapezoids to calculate the area under it. A area under the curve is calculated by adding the areas of all the small trapezoids.
Follow the steps below to use the trapezoidal rule to determine the area under given curve, y = f. (x).
- Step 1: Write down the total number of sub-intervals, "n," as well as the intervals "a" and "b."
- Step 2: Use the formula to determine the width of the sub-interval, h (or) x = (b - a)/n.
- Step 3: Use the obtained values to calculate this same approximate area of a given curve, ba f(x)dx Tn = (x/2) [f(x0) + 2 f(x1) + 2 f(x2) +....+ 2 f(n-1) + f(n)], where xi = a + ix
<h3>What is
Simpson's method?</h3>
Simpson's rule is used to approximate the area beneath the graph of the function f to determine the value of the a definite integral (such that, of the form b∫ₐ f(x) dx.
Simpson's 1/3 rule provides a more precise approximation. Here are the steps for using Simpson's rule to approximate the integral ba f(x) dx.
- Step 1: Figure out the values of 'a' & 'b' from interval [a, b], as well as the value of 'n,' which represents the number of subintervals.
- Step 2: Determine the width of every subinterval using the formula h = (b - a)/n.
- Step 3: Using the interval width 'h,' divide this same interval [a, b] [x₀, x₁], [x₁, x₂], [x₂, x₃], ..., [xn-2, xn-1], [xn-1, xn] into 'n' subintervals.
- Step 4: In Simpson's rule formula, substitute all of these values and simplify. b∫ₐ f(x) dx ≈ (h/3) [f(x0)+4 f(x1)+2 f(x2)+ ... +2 f(xn-2)+4 f(xn-1)+f(xn)].
Thus, sometimes we cannot solve an integral using any integration technique, and other times we don't have a particular function to integrate. Simpson's rule aids in approximating the significance of the definite integral in such cases.
To know more about the Simpson's method and trapezoidal rule, here
brainly.com/question/16996659
#SPJ4
