The load that a beam 6in. Wide, 4in. Deep, and 19ft. Long, of the same material, support is 2436 lb (nearest integer).
The safe load, L, of a wooden beam supported at both ends varies jointly as the width, w, and the square of the depth, d, and inversely as the length, l.
To find:
What load would a beam 6in. Wide, 4in. Deep, and 19ft. Long, of the same material, support?
Formula used:
L = k (w d²)/ l
where k is a constant of variation.
Let k be the constant of variation.Then, the safe load L of a wooden beam can be written as:
L = k (w d²)/ l
Now, using the given values, we have:
L₁ = k (9 × 8²)/ 7 and
L₂ = k (6 × 4²)/ 19
Also, L₁ = 26542 lb (given)
Thus, k = L₁ l / w d²k = (26542 lb × 7 ft) / (9 in × 8²)k
= 1364.54 lb-ft/in²
Substituting the value of k in the equation of L₂, we get:
L₂ = 1364.54 (6 × 4²)/ 19L₂
= 2436 lb (nearest integer)
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Cora paid 16/100 of a dollar to buy a postcard from Grand Canyon National park in Arizona. What is 65/100 written as a
decimal in terms of dollars?
Answer:
$.65 (sixty five cents)
Step-by-step explanation:
Due in a few minutes-please help me solve these geometry problems!!!
Answer:
You must be 65.3 ft. closer
Step-by-step explanation:
The first triangle has a length x along the ground and a height of 50 with a 90 degree angle between the ground and the tree. The angle of elevation is 25 degrees.
By the definition of tangent:
tan(25)=50/x
Solve for x
x=50/tan(25)=107.225
The second triangle has a length y along the ground and a height of 50 with a 90 degree angle between the ground and the tree. The angle of elevation is 50 degrees.
By the definition of tangent:
tan(50)=50/y
Solve for y
y=50/tan(50)=41.955
The difference between x and y is how much closer to the tree you must be.
x-y=65.27
Penelope was reading a book at a rate
of 1.2 pages per minute. At that rate,
how many pages can Penelope read in
5 minutes?
I NEED THIS LIKE NOWW IT FOR A TESTTT
Answer:
Penelope can read 6 pages in 5 minutes.
Step-by-step explanation:
You would use the equation 1.2x = P
P=how many pages x=how many minutes
1.2(5) = 6
She can read 6 pages in 5 minutes
Please answer this question CORRECTLY!!!!!
can someone help right away!! please!!
Answer:
y = - 2x + 1
Step-by-step explanation:
Substitute an x value from the table into the equation
x = 1 : y = - 2(1) = - 2 ← require to add 1 to obtain y = - 1
x = 4 : y = - 2(4) = - 8 ← require to add 1 yo obtain y = - 7
Then equation describing the relationship is
y = - 2x + 1
Is (9, 0) a solution to the equation y = 9? yes no
Answer:
I'm going to say no
Step-by-step explanation:
Because y in the pair y is zero not 9.
The airplane travels 1,650 miles in 3 hours. What is
the unit rate?
Answer:
550 miles per hour
Step-by-step explanation:
Calculate the values of angles A and C of triangle ABC, where b =17.23cm,c=10.86cm and B=10 1 degree 15
Answer:
C = 38.18°; A = 40.57°
Step-by-step explanation:
B = 101' 15"
B = 101° + (15/60) = 101 + 0.25 = 101.25°
b =17.23cm,c=10.86cm
From Sine rule :
c/ sin C = b / Sin B
10.86 / sin C = 17.23 / sin 101.25
SinC = (sin 101.25 * 10.86) / 17.23
Sin C = 10.651328 / 17.23
Sin C = 0.6181850
C = Sin^-1(0.6181850)
C = 38.183716
C = 38.18°
Sum of angles in a triangle = 180°
A + B + C = 180°
A + 101.25° + 38.18° = 180°
A = (180 - (101.25 + 38.18))
A = 40.57°
The figure is one-fourth of a circle.
What is the perimeter of the figure?
Use 3.14 for π.
One fourth of a circle with a radius of 11 cm.
GIVING BRAINLIEST IF YOU SOLVE IT (:
Answer:
around 39.27
Step-by-step explanation:
2*11*3.14=69.08/4=17.27+22=39.27
Which value is greater 4/5 or 70%
Answer:
4/5
Step-by-step explanation:
4/5 = .8
70% = .7
Answer:
4/5
Step-by-step explanation:
Complete the statement. Round to the nearest hundredth if necessary.
0.3 km ≈ ? mi
Answer:
0.186 mile rounded = 0.19
Step-by-step explanation:
the answer is 0.19
A farm covers land in the shape of a trapezium. The length of the northern boundary of the farm is 265 m and length of the southern boundary is 180 m. The perpendicular distance from the northern end to the southern end is 90 m.
a Draw a diagram of the farm and find its area to the nearest square metre.
b Write your answer to part a to the nearest hectare.
c The farmer decides to purchase his neighbour's farm, which is in the shape of a rectangle but has the same area as his farm. What are possible dimensions neighbour's farm? Give your answer in metres.
Answer:
Step-by-step explanation:
Part A
Givens
b1 = 265
b2 = 180
h = 90
Formula
Area = (b1 + b2)*h / 2
Solution
Area = (265 + 180) * 90 / 2
Area = 445 * 90 / 2
Area = 40050 / 2
Area = 20025 square meters
Part B
1 hectare = 10000 square meters
x hectare = 20025 square meters Cross multiply
x * 10000 = 20025 * 1 Divide by 10000
x = 20025 / 10000
x = 2.0025
Rounded to the nearest hectare that would be 2
Part C
The best shape is a square.
That would mean that the area is given by
s^2 = 20025
sqrt(s^2) = sqrt(20025)
s = 141.51
Each side of the rectangle (square) = 141.51
Please help quick will give brainliest!
Answer:
The statement that correctly uses limits to determine the end behavior of f(x) is;
[tex]\lim\limits_{x \to \pm \infty} \dfrac{7 \cdot x^2+ x + 1}{x^4 + 1}= \lim\limits_{x \to \pm \infty} \dfrac{7 }{x^2 }[/tex] so the end behavior of the function is that as x → ±∞, f(x) → 0
Step-by-step explanation:
The given function is presented here as follows;
[tex]f(x) = \dfrac{7 \cdot x^2+ x + 1}{x^4 + 1}[/tex]
The limit of the function is presented as follows;
[tex]\lim\limits_{x \to \pm \infty} \dfrac{7 \cdot x^2+ x + 1}{x^4 + 1}[/tex]
Dividing the terms by x², we have;
[tex]\lim\limits_{x \to \pm \infty} \dfrac{\dfrac{7 \cdot x^2}{x^2} + \dfrac{x}{x^2} + \dfrac{1}{x^2} }{\dfrac{x^4}{x^2} +\dfrac{1}{x^2} }= \lim\limits_{x \to \pm \infty} \dfrac{7 + \dfrac{1}{x} + \dfrac{1}{x^2} }{x^2 +\dfrac{1}{x^2} }[/tex]
As 'x' tends to ±∞, we have;
[tex]\lim\limits_{x \to \pm \infty} \dfrac{7 + \dfrac{1}{x} + \dfrac{1}{x^2} }{x^2 +\dfrac{1}{x^2} } = \lim\limits_{x \to \pm \infty} \dfrac{7 + 0 + 0 }{x^2 +0 } = \lim\limits_{x \to \pm \infty} \dfrac{7 }{x^2 }[/tex]
However, we have that the end behavior of 7/x² as 'x' tends to ±∞ is 7/x² tends to 0;
Therefore, we have;
[tex]f(x) \rightarrow 0 \ as \lim\limits_{x \to \pm \infty} \dfrac{7 }{x^2 }[/tex]
The statement that correctly uses limits to determine the end behavior of f(x) is therefor given as follows;
[tex]\lim\limits_{x \to \pm \infty} \dfrac{7 \cdot x^2+ x + 1}{x^4 + 1}= \lim\limits_{x \to \pm \infty} \dfrac{7 }{x^2 }[/tex] so the end behavior of the function is that as x → ±∞, f(x) → 0.
Help me 20 points please help me
Answer:
Rational: 4.2, -11/5, 0.36
Irrational:
[tex] \sqrt{ \frac{1}{4} } [/tex]
[tex] \sqrt{8} [/tex]
[tex]\pi[/tex]
[tex] \sqrt{ \frac{3}{4} } [/tex]
Step-by-step explanation:
Hope this Helped
Solve the system of equations.
−10y+9x=−9
10y+5x=−5
flora has a summer job where she earns $9.50 per hour. At this company, employees get a 10% raise after working for 400 hours. If flora works 640 hours over the summer, how much money will she make?
Acil cevap lütfen hemen atarsanız sevinirim (✿^‿^)♥️♥️♥️
Answer:
hai :D
Step-by-step explanation:
Also try D
What is 5/6 - 3/8
A. 1/3
B. 9/16
C. 1/12
D. 11/24
Answer:
The correct answer is D
Step-by-step explanation:
Enter the value of n so the expression (7y + 6) + (3y – 2) is equivalent to (ny + 4),
Answer:
10
Step-by-step explanation:
what is the centimeters per hour. PICTURE. I REALLY NEED HELP
Answer:
1 Centimeter per Hour: 1 Centimeter per hour is approximately equal to 2.777 778 x 10-6 meters per second (SI unit).
Step-by-step explanation:
1 Centimeter per Hour: 1 Centimeter per hour is approximately equal to 2.777 778 x 10-6 meters per second (SI unit).
The Value of (441)2 – (440)2 is :
(i) 841 (ii) 1 (iii) 881 (iv) 0
A plane flew 1,236 miles in 4 hours.what was the planes average speed (rate) in miles per hour?
Answer:
309 miles per hour
Step-by-step explanation:
Divide the total distance traveled by the time. So the answer is 1236 miles divided by 4 hours, or 309 miles per hour
A hot air balloon went from an elevation of 6,039 feet to an elevation of 3,288 feet in 42 minutes. What was its rate of descent?
Answer:
65.5 feet per second
Step-by-step explanation:
In order to calculate the rate of descent we first need to find the difference in heigh that the hot air balloon descended. We do this by subtracting the initial height from the end height like so...
6,039 - 3,288 = 2,751 ft
Now that we have the difference in height we need to divide this by 42 since that is the amount of time it took for this descent to occur.
2,751 ft / 42s = 65.5 ft/s
Finally we can see that the rate of descent was 65.5 feet per second
Does stencil two overlap exactly with the original image? Describe what you see. After the transformations are complete, what can you say about the points that make up stencil one and the points that make up the original image ? Explain
Answer:
No, stencil two does not overlap the original pattern exactly. Not all the points on stencil two coincide with the points on the original pattern. There is a subtle difference near the boundaries of the two shapes.
Step-by-step explanation:
Can someone plz help me!!
Answer:
145°
Step-by-step explanation:
upper left angle inside triangle is 180-137, or 43°
lower right angle inside triangle is 180-(43 + 102) or 35°
'?' measures 180 - 35 which is 145°
Omh pls help me 6thh grade math it's do in 10 mins
Answer:
1. 42
2. d cuz it has nothing-
3. A
all im saying cuz ik u can do this
Answer:
number 1 is 52% i am goin through them
Step-by-step explanation:
Help me solve this problem
2|m/2|-1>3
Answer:
is this even a equation
Step-by-step explanation:
f(x)= 2x+3/x-1, x ≠ 1, dan f^-1 adalah invers dari f
tentukan :
A. infers fungsi F
B. Nilai dari f^-1 (-3)
Answer:
The answer are
A.
[tex] {f}^{ - 1} (x) = \frac{x + 3}{x - 2} [/tex]
B.
[tex] {f}^{ - 1} ( - 3) = 0[/tex]
Step-by-step explanation:
To find the infers we do that
[tex]f(x) = \frac{2 x + 3}{x - 1 } \\ (x - 1)f(x) = 2x + 3 \\ xf(x) - f(x) = 2x + 3 \\ xf(x) - 2x = f(x) + 3 \\ x(f(x) - 2) = f(x) + 3 \\ x = \frac{f(x) + 3}{f(x) - 2} \\ then \: \\ {f}^{ - 1} (x) = \frac{x + 3}{x - 2} \\ then \\ {f }^{ - 1} ( - 3) = \frac{ - 3 + 3}{ - 3 + 2} = 0[/tex]
Please help! I need the equation of this line.
Answer: why?
Step-by-step explanation:
d. How much of each ingredient would you need to make an identical recipe that serves 18 people?