C. Divide 20 and 56, you’ll get 0.35
Complete question is;
Building an A - frame dog house. Your club has decided to build and sell dog houses for a fundraising project. You found this dog house a set of plans by searching the net.
side 1 = 45¼ in
side 2 = (Gusset plate)
5¾ in high
3⅓ in base
corner of side 2 = 2 inches thick
side 3 (floor plate)= 37¼ in
A customer has offered to pay extra if you will make one half the size called for in the plans. Take each of the 5 measures shown in the drawing and find half of the measure. Show your work to get full credit!
Answer:
new side 1 = 22⅝ in
For side 2:
New height = 2⅞
New base = 1⅔ in
New corner = 1 in
New side 3 = 18⅝ in
Step-by-step explanation:
We are told that a customer has offered to pay extra if you will make one half the size called for in the plans.
Thus, we will divide each number by 2
We are given side 1 = 45 1/4 in = 45.25 in
New side 1 = 45.25/2 = 22.625
Converting to fraction form: new side 1 = 22⅝ in
We are given side 2 = (Gusset plate)
Height = 5¾ in = 5.75 in
New height = 5.75/2 = =2.875
Converting to fraction:
New height = 2⅞
Base = 3⅓ in = 3.33 in
New base = 3.33/2 = 1.66
Converting to fraction:
New base = 1⅔ in
Corner of side 2 is 2 inches thick
New corner = 2/2 = 1 in
side 3 (floor plate) = 37¼ in = 37.25 in
New side 3 = 37.25/2 = 18.625
Converting to fraction:
New side 3 = 18⅝ in
Answer:
Hence, the limit of the expression:
is:

Step-by-step explanation:
We are asked to estimate the limit of the expression:

We will simplify the expression by first taking the l.c.m of the terms in the numerator to obtain the expression as:


since the same term in the numerator and denominator are cancelled out.
Now the limit of the function exist as the denominator is not equal to zero when x→1.
Hence,

Hence, the limit of the expression:
is:

Answer:
Rn ≈ 0.6345
Ln ≈ 0.7595
Step-by-step explanation:
The interval from -1 to 2 has a width of (2 -(-1)) = 3. Dividing that into 4 equal intervals means each of those smaller intervals has width 3/4.
It can be useful to use a spreadsheet or graphing calculator to evaluate the function at all of the points that define these intervals:
x = -1, -.25, 0.50, 1.25, 2
Of course, the spreadsheet can easily compute the sum of products for you.
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The approximation using right end-points will be the sum of products of the interval width (3/4) and the function value at the right end-points:
Rn = (3/4)f(-0.25) +(3/4)f(0.50) +(3/4)f(1.25) +(3/4)f(2)
Rn ≈ 0.6345
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The approximation using left end-points will be the sum of products of the interval width (3/4) and the function value at the left end-points:
Ln = (3/4)f(-1) +(3/4)f(-0.25) +(3/4)f(0.50) +(3/4)f(1.25)
Ln ≈ 0.7595
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It is usually convenient to factor out the interval width, so only one multiplication needs to be done: (interval width)(sum of function values).