The angle at which the leaning tower of Pisa deviates from the vertical is approximately 5.31 degrees.
To find the angle at which the leaning tower of Pisa deviates from the vertical, we can use the concept of tangent function.
First, we need to calculate the distance that the top of the tower is displaced from the vertical axis. This can be done using the Pythagorean theorem, which states that the displacement (d) is equal to the square root of the height of the tower (h) squared plus the amount the tower is out of plumb (p) squared:
d = √(h² + p²)
d = √(179² + 16.5²)
d = 180.14 ft
Next, we can use the tangent function to find the angle of deviation (θ):
tan(θ) = p/h
tan(θ) = 16.5/179
θ = tan⁻¹(16.5/179)
θ ≈ 5.31 degrees
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Last question of the day I need help with this.
The answer is 64.5 in2
Find the expression for f(x) that makes the following equation true for all values of x.
(81^x)/9^5x-8=9^f(x)
Answer:
Step-by-step explanation:
As it is bad written, i suppose it is
[tex]\dfrac{81^x}{9^{5x-8}} =9^{f(x)}\\\\9^{2x-(5x-8)}=9^{f(x)}\\\\2x-5x+8=f(x)\\\\\\\boxed{f(x)= -3x+8}\\[/tex]
(b) In the figure alongside, AB I BC and a - b= 10° then find the values of a and b.
Same side interiors(vertical) have sum 180°
a+b=180--(2)From both equations
2a=190a=95And
a-b=10b=95-10b=85what??? I need help urgent :( i didn’t focus in math
Answer: g(x) = (x+1)-3
Step-by-step explanation: Assuming you are moving from expression f to expression g, the plus one in the equation moves the vertex to the right one. subtracting three outside of the parenthesis moves the vertex down three, giving you a vertex of (1,-3). hope this helps!
The length of a rectangle of area 45 sq cm is 9 cm. What is its breadth ?
Answer:
breadth = 5 cm
Step-by-step explanation:
Area of a rectangle = length × breadth
breadth = Area of a rectangle / length
breadth = 45 cm²/ 9cm
breadth = 5 cm
In how many ways can we pick three different numbers out of the group:
1, 2, 3, ..., 100
such that the largest number is larger than the product of the two smaller ones? (The order in which we pick the numbers does not matter.)
Answer:
i don't know 56,78,95
Step-by-step explanation:
Find the volume.
34 cm
12 cm
63 cm
Answer:
25704
Step-by-step explanation:
L×w×h length times width times height
Find the length of UT.
с
12
T
14
W
2x+2U
2x + 5
A. 32
OB. 43
C. 21
OD. 39
Answer: A. 32
Concept:
Here, we need to know the idea of the intersecting chord theorem and segment addition postulate.
The intersecting chord theorem states that when two chords intersect at a point, P, the product of their respective partial segments is equal.
The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
Given information
CW = 12
TW = 14
VW = 2x + 5
UW = 2x + 2
Given expression deducted from intersecting chord theorem
CW · VW = TW · UW
Substitute values into the expression
(12) · (2x + 5) = (14) · (2x + 2)
Expand parentheses and apply the distributive property
24x + 60 = 28x + 28
Subtract 14x on both sides
24x + 60 - 24x = 28x + 28 - 24x
60 = 4x + 28
Subtract 28 on both sides
60 - 28 = 4x + 28 - 28
32 = 4x
Divide 4 on both sides
32 / 4 = 4x / 4
x = 8
Given expression deducted from the segment addition postulate
UT = UW + TW
Substitute values into the expression
UT = 2x + 2 + 14
Substitute x value into the expression
UT = 2 (8) + 2 + 14
UT = 16 + 2 + 14
Combine like terms
UT = 32
Hope this helps!! :)
Please let me know if you have any questions
The Angles Below Form a Linear Pair what is the measurement of angle DBC
Answer:
<DBC = 45
Step-by-step explanation:
The two angles add to 180
<ABC + <DBC = 180
135+ <DBC = 180
< DBC = 180-135
<DBC = 45
the bill for dinner came to $75.48. The four Freinds decided to leave a $15.00 tip. If thwy share the bill equally, how much will each friend pay?
Use the graph of the function. To answer the question
Write the domain of the function given in the graph in set builder notation
A. {x|x>_10}
B. {x|x>_0}
C. {x|x>10}
D. {x|x>0}
Answer:
A. {x| x ≥ 10}
Step-by-step explanation:
in x-axis, the graph starts from 10 toward right.
it means x ≥ 10
Which group of number shows the values of the 4s in 44,492?
Answer:
The values of the 4s in 244 is, 4 and 40
Explanation:
A place value is used to understand the value of each digit based on the place or position.
Given number is 244.
Since, there are 2 fours in 244 ;
The last digit i.e, 4 on the right is in the ones' place with value= 4, and
Answer:
The values of the 4s in 244 is, 4 and 40
Explanation:
A place value is used to understand the value of each digit based on the place or position.
Given number is 244.
Since, there are 2 fours in 244 ;
The last digit i.e, 4 on the right is in the ones' place with value= 4, and
Value of a number in the tens' place is ten times the value of the same number in the one's place.
then, the second one at ten's place with value,= 40.
Step-by-step explanation:
[tex]7w+2=3w+94[/tex]
Answer:
7w+2=3w+94
Subtract 3w from both sides.
7w+2−3w=94
Combine 7w and −3w to get 4w.
4w+2=94
Subtract 2 from both sides.
4w=94−2
Subtract 2 from 94 to get 92.
4w=92
Divide both sides by 4.
w=492
Divide 92 by 4 to get 23.
w=23
Answer:
23
Step-by-step explanation:
7w + 2 = 3w + 94 Subtract 2 from both sides
7w = 3w + 94 - 2
7w = 3w + 92 Subtract 3w from both sides
4w = 92 Divide by 4
w = 92/4
w = 23
Pls pls pls help me, im begging youuuk
Answer:
angle f = 147 degree and angle e = 33degree
Step-by-step explanation:
here,
angle d= 147 degree
angle f = ?
angle e= ?
we know that,
angle d= angle f (Being alternate angle always be equal.)
or, 147 degree = angle f
Hence, angle f is 147 degree.
And,
angle d sum angle e= 180 degree(being cointerior angle)
or, 147 degree add angle e=180 degree
or, angle e= (180-147) degree
or, angle e= 33 degree
Hence, angle e is 33 degree.
so, angle f=147 degree
angle e= 33 degree
ANS
angle e= 33 degree
Answer:
angle f=147 degrees (alternate angles)
angle e= 33 degrees
Step-by-step explanation:
angle d =147 degrees
angle f=147 degrees (alternate angles)
angle e +angle d=180 (allied angles)
e+ 147 =180
e =180-147
e = 33 degrees
6 let A= (1,4,9,16) and B=(2,3,5,7). Find AS
Prove that A-B=( )
zip file, and phrase, angle of applicable. where are u doing now I need to make a sentence, but it was not the same time for changing the full range. uses the nation, angle and phrase, angle. uses a
Fill in the blank to make the number divisible by 3: 6178_9
Answer:
2, 5, or 8
Step-by-step explanation:
ccalculator go brr
Answer:
617829/3=205,943
617859/3=205,953
617889/3=205,963
Step-by-step explanation:
617819/3=205,939.666
617829/3=205,943
617839/3=205,946.333
617849/3=205,949.666
617859/3=205,953
617869/3=205,956.333
617879/3=205,959.666
617889/3=205,963
617899/3=205,966.333
What number will make this statement true?
Help due today!
No links
Answer:
8
Step-by-step explanation:
0-(-8) = 8 ///////////
Answer:
8
Step-by-step explanation:
Let the number be x.
Then,
- 8 + x = 0
=> x = 0 + 8
=> x = 8
Simplify the complex question: 5/8 / 4/5
Answer:
The choose 25/32
Step-by-step explanation:
[tex] \frac{ \frac{5}{8} }{ \frac{4}{5} } = \frac{5}{8} \times \frac{5}{4} = \frac{25}{32} [/tex]
I hope I helped you^_^
Answer:
A. [tex] \frac{25}{32} [/tex] (first option)
Step-by-step explanation:
[tex] \frac{ \frac{5}{8} }{ \frac{4}{5} } = \frac{5}{8} \div \frac{4}{5} [/tex]
[tex] \frac{5}{8} \times \frac{5}{4} = \frac{5 \times 5}{8 \times 4} [/tex]
[tex] = \frac{25}{32} [/tex] ✅
If 5 is equal to 11
And 7 is equal to 15
And 9 is equal to 19
What is 12 equal to ?????
Answer:
25 is the answer because the numbers are in the relation of (×2+1). 5×2+1=11 7×2+1=15 9×2+1=19 12×2+1=25.
Danny got a raise and now makes $58,965.95 a year. Round this number to the nearest:
a) dollar
b) thousand dollars
c) ten thousand dollars
The double number line shows the approximate number of ounces in a certain number of pounds:
Based on the number line, about how many ounces are there in 6 pounds?
24 ounces
80 ounces
96 ounces
112 ounces
Answer:
the answer is 96 ounces i think
Akilometer is approximately 1094 yards . Toby runs a 6 km race. About how many yards does he run?
solve for X
[tex]4({x}^{2} - 250) \leqslant 65x[/tex]
Answer:
54489jf is a great resource for the following in exponential form and the following in exponential form is a great place to work for
PLEASEEE HELP ASAP!!!
A 90% confidence interval for a proportion is found to be (0.52, 0.58) . What is the sample proportion?
Answer:
Its 0.55
Step-by-step explanation:
I just took the test
Write (2x)^4 without exponents
Answer:
16x^4
Step-by-step explanation:
Hi there!
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I believe your answer is:
[see below]
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Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Simplifying the Expression:}}\\\\(2x)^4\\----------------\\\rightarrow (2x)^4 \text{ is 2x multiplied 4 times.}\\\\\rightarrow (2x)^4 = \boxed{2x * 2x * 2x * 2x}\\\\\rightarrow 2x * 2x * 2x * 2x = \boxed{16*x^4}\\\\\rightarrow 16*x^4 = \boxed{16 * x * x * x * x}\\\\\text{The boxed answers with exception to the second one could be possible answers.}[/tex]
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Hope this helps you. I apologize if it’s incorrect.
Fraction:
Decimal:
Word Form:
Answer:
Fraction:
Decimal:
Word Form:
Step-by-step explanation:
-1/3 - (-1/2) plz help I am confused
Answer:
[tex] \frac{ - 1}{3} - ( - \frac{1}{2} ) \\ \frac{ - 1}{3} + \frac{1}{2} ( - \times - = + ) \\ = \frac{ - 2 + 3}{6} \\ = \frac{1}{6} \\ thank \: you[/tex]
Answer:
[tex] \frac{1}{6} [/tex]
Step-by-step explanation:
[tex] - \frac{1}{3} - ( - \frac{1}{2} )[/tex]
[tex] - \frac{1}{3} + \frac{1}{2} [/tex]
[tex] \frac{ - 2 + 3}{ 6} [/tex]
[tex] = \frac{1}{6} [/tex]
Twenty-four less than ten times a number is a negative one hundred sixteen . Find the number
Answer:
The answer is -9.2
Step-by-step explanation: You write 10x -24 = -116 and solve for x. Solving for x means to isolate the x.
1st step is to get rid of -24 by +24 on both sides of the equation:
10x- 24 = -116
+24 +24
Now equation is 10x = -92
2nd step is get rid of 10 by dividing the 10 on both sides of equation:
10x = -92
10 10
Leaving you with final solution of x= -9.2
The linear function f with values f(-6) = 8 and f(5) = 3 is f(x) =
You can compute the slope given that you have two points [tex](-6,8)[/tex] and [tex](5,3)[/tex].
[tex]m=\frac{3-8}{5-(-6)}=\frac{-5}{11}=-\frac{5}{11}[/tex]
Your function has a form of,
[tex]f(x)=mx+n[/tex]
So we also need to find n. To do that, substitute y and x for some point we already know, I will pick point [tex](5,3)[/tex] then solve for n,
[tex]3=-\frac{5}{11}\cdot5+n[/tex]
[tex]n=3+\frac{5}{11}\cdot5[/tex]
[tex]n=3+\frac{25}{11}[/tex]
[tex]n=\frac{33+25}{11}=\frac{58}{11}[/tex]
So the function is,
[tex]f(x)=-\frac{5}{11}x+\frac{58}{11}[/tex]
Hope this helps :)
3. Amelia is at the mall buying more
school clothes. She purchases one pair
of jeans for $32.00 and 2 tops for
$23.99 each. If sales tax is $5.80, what
was the final cost of her clothes
What is the answer?
Answer:
The final cost of Amelia's clothes will be $79.98 without sales tax and $85.78 with sales tax.
Step-by-step explanation:
To find the final cost of Amelia's clothes without sales tax, start by writing an equation for the problem, and the equation will look like $[tex]32.00+2([/tex]$[tex]23.99)=x[/tex]. Next, simplify the equation, which will look like $[tex]32.00+[/tex]$[tex]47.98=x[/tex]. Then, solve the equation, which will look like $[tex]79.98=x[/tex]. The final cost of Amelia's clothes without sales tax will be $79.98.
To find the final cost of Amelia's clothes with sales tax, start by writing another equation for the problem, and this equation will look like $[tex]32.00+2([/tex]$[tex]23.99)+[/tex]$[tex]5.80=x[/tex]. Next, simplify the equation, which will look like $[tex]32.00+[/tex]$[tex]47.98+[/tex]$[tex]5.80=x[/tex]. Then, solve the equation, which will look like $[tex]85.78=x[/tex]. The final cost of Amelia's clothes with sales tax will be $85.78.