Answer:
≈ 3.91π in.
Step-by-step explanation:
IT is given that ∠APC = 92 and PB = 8 in. The arc length of AD is ≈ 3.67π in.
What is Arc length?Arc length is defined as the distance between two points along a section of a curve.
IT is given that
∠APC = 92 and PB = 8 in
As ∠APC and ∠APD are formed in linear pairs.
So,
∠APC + ∠APD = 180∘
∠APD = 180 - ∠APC
∠APD = 180∘ − 92∘
∠APD = 88∘
Now, the length of the arc will be,
= Ф/360 2πr
= 88/360 x 2 x π x 8
=88/360 x 16π
=352/90 x π
≈ 3.91π in.
Hence, the arc length of AD is ≈ 3.91π in.
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A woman is trying to remove holiday decorations from the roof of her house by climbing a ladder. The height of her house is 24 feet, and the distance she has to travel on the ladder is 30 ft. How far away is the ladder from the house?
Answer:
18 ft
Step-by-step explanation:
We are to determine the base given the hypotenuse and length.
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
30² = 24² + b²
900 = 576 + b²
b² = 900 - 576
b² = 324
square root = 18
MARKING BRAINLIEST
PLS HELP
Answer:
-7
Step-by-step explanation:
Domain is simply another way of saying input values. Input values are literally just x values (Any place on the x bar. Range is the same but instead of x values it is for y values.
how to find the constant of proportionality on a graph
1. A square is lengthened by 6 units in one direction and by 5 units in the other
direction to make a rectangle, as shown in the diagram. The length of the side
of the original square is x units. What is the area of the whole new rectangle?
Answer:
a = x² + 11x + 30
Step-by-step explanation:
a = (x + 5)(x + 6)
multiply each term in the first set of parenthesis by each term in the second
a = x(x + 6) + 5(x + 6)
a = (x² + 6x) + (5x + 30)
combine like terms
a = x² + 11x + 30
If x=10 what is the value of 4(x-2)
A.48
B.32
C.38
D.8
Answer:
[tex]b. \: \: 32[/tex]
Step-by-step explanation:
[tex]4(x - 2)[/tex]
[tex]4(10 - 2)[/tex]
[tex]4(8)[/tex]
[tex]32[/tex]
Hope it is helpful...I NEED HELP WITH THIS PLEASE ITS DUE TONIGHT
==========================================
Work Shown:
(tangent)^2 = (whole secant)*(external secant)
(TU)^2 = (RT)*(ST)
(TU)^2 = (RS+ST)*(ST)
(TU)^2 = (8+4)*(4)
(TU)^2 = 48
TU = sqrt(48)
TU = 6.928203
TU = 6.9
For more info, you can search out "secant tangent chord", or something similar, and you should get to a page that describes the formula of what's going on here. This should match up fairly similarly to what lesson 3.09 is talking about.
Answer: 9.8
TU^2= TS x TR
TU^2= 8 x 12
TU= sqrt(96) = 9.79
How many multiples of 13 are between 100 and 1000
Answer:
The first number between 100 & 300 divisible by 13 is 104
Step-by-step explanation:
For triangle ABC C = 90 Side AC = 13.5 Side BC = 8.6 Find the measure of angle B
Answer:
57.5°
Step-by-step explanation:
For triangle ABC C = 90 Side AC = 13.5 Side BC = 8.6 Find the measure of angle B
We solve using the Trigonometric function of Tangent
tan θ = Opposite/Adjacent
θ = Angle B
Opposite = Side AC 13.5
Adjacent = Side BC = 8.6
Hence:
tan θ = 13.5/8.6
θ = arc tan (13.5/8.6)
θ = 57.501354056°
Approximately = 57.5°
Therefore, Angle B = 57.5°
half of a dome is called what?
Answer:
See I don't know the Answer but I Need points to ask question so Sorry
Step-by-step explanation:
What is 13 divided by 1/4?
Explain how you got your answer.
Answer:
52
Step-by-step explanation:
13 divide 1/4 is the equivilent to 13 x 4
Answer:
52
Step-by-step explanation:
13/(1/4)
when a fraction is in the denominator you inverse the fraction and multiple by the numerator
so it would be 13*(4/1) = 13*4 = 52
Which of the following will form the composite function G(F(x)) shown
below?
G(F(x)) = 7x^4-2x^2-1
Answer:
F(x)=x^2 and G(x)=7x^2-2x-1
Step-by-step explanation:
I have to fill in characters for the step by step explanation so have fun reading the following Junk. KEEp wasting your time Dummy with
PLEASE, PLEASE, PLEASE HELP ASAP!!!
A car salesperson earns a monthly salary of $1000 per month plus $150 for each car sold. The equation y = 150x + 1000 represents the total monthly salary. Graph the equation using the slope and y-intercept.
Answer:
There is the graph of money made to cars sold
The Graph is provided in the below image.
How to find the graph of an equation using slope and y-intercept?Slope and y-intercept are used to graph an equation in the following ways:
The equation y = mx + b's y-intercept is equal to b.Draw a y-intercept plot. The key message is (0, b).To solve the equation y = mx + b, get the slope=m.Rise above from (0,b) by m units and to the right by 1 unit.With your line, join those two spots together.How to solve it?To solve the question we follow the steps in the given instructions.
The intercept is 1000Plot (0,1000)The slope is 150Make a rise of 150 units upwards and a run of 1 unit to the right. That gives our second point on the line (1,1150)We then join our line to get the required graph.Learn more about graphs here-
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can someone help me please
Answer:
B and E
Step-by-step explanation:
3^-8/3^-4 = 1/81 or .01234567...
I suggest that if you're having difficulty with a question like this again you go through all the answers individually so you can see what they equal! This method can really help in tests or where you can't get help.
3^-12 = 1/531441 <- not the answer
3^-4 = 1/81 <- answer!
3^2 = 9
1/3^2 = 1/9
1/3^4 = 1/81
1/3^12 = 1/531441
its also good to remember
3^-8/3^-4 would mean -8+4 = 3^-4 which would help you get your first answer.
Hope this helps!
[tex]B. \: {3}^{ - 4} \:✅\\ \\ E. \: \: \frac{1}{ {3}^{4} }\:✅ [/tex]
Step-by-step explanation:
[tex] \frac{ {3}^{ - 8} }{ {3}^{ - 4} } \\ \\ we \: know \: that \: \: \: \frac{ {a}^{m} }{ {a}^{n} } \: = \: {a}^{m - n} \\ \\= {3}^{ - 8 - ( - 4)} \\ \\ = {3}^{ - 8 + 4} \: ( \: ∵\: - \times - = + ) \\ \\ = {3}^{ - 4} \\ \\ ( \: or \: ) \\ \\= \frac{1}{ {3}^{4} } \\ \\( \: ∵\: {a}^{ - m} = \frac{1}{ {a}^{m} } \: ) \\\: [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
a) Find the model value of the given data:
2,3,6,5,4,3,4,6,3
Answer:
9
Step-by-step explanation:
bcs 3 is the mode you do 3+3
Answer:
3
Step-by-step explanation:
3 is the model value of the given data because it repeats maximum number of time.
Help me please Help me please Help me please
Answer:
[tex]y = x + 7[/tex]
Step-by-step explanation:
[tex]y = gx + c[/tex]
[tex]gradient = \frac{y}{x} = \frac{1}{1} = 1[/tex]
[tex]where \: the \: line \: meet \: the \: y-axis = 7[/tex]
Find the 23rd term of the arithmetic sequence whose common difference is d=4 and whose first term is a^1 = 3.
Answer: the 23rd term of the arithmetic sequence=91
Step-by-step explanation:
The nth term of an arithmetic sequence is given as
an=a+ (n-1) d
Given common difference , d=4 and
first term is a^1 = 3.
We have that
a₂₃=3+ (23-1) 4
a₂₃=3+ (22) 4
a₂₃=3+ 88
a₂₃=91
the 23rd term of the arithmetic sequence=91
You want to estimate the number of students in your school who support extra funding for the history club. You survey every ninth student who enters the
school.
Determine whether the sample is based or unbiased
Answer:
unbiased
Step-by-step explanation:
it would be biased if you lets say survey the history club kids
bill changes £450 from his bank to $729 what exchange rate did he get?
Answer:
$1.62
Step-by-step explanation:
Find the median of the data. 43, 37, 49, 51, 56, 40, 44, 50, 36
Answer:
Median = 44
Step-by-step explanation:
Arrange the data in ascending order:
36, 37, 40, 43, 44, 49, 50 , 51, 56.
Choose the number in the middle.
Median = 44
True or False: A method of creating a geometric figure that is mathematically precise by using a compass and
straightedge is called drawing or copying.
Answer:
True
Step-by-step explanation:
I have to write more but its true
Can someone please help me
Answer:
Her monthly rate per month is $12
Step-by-step explanation:
On the 0 month is what she already had in her bank account.
Also the months are going by 2's so it's going by $24 dollars every 2 months, so 24 divided by 2 is 12.
Which of the following sets of numbers could represent the three sides of a
45-45-90 triangle?
1, 1, square root of 2
1, square root of 2 space comma end root square root of 3
1, square root of 3, 2
1, square root of 2 , 2
Answer:
1, 1, [tex]\sqrt{2}[/tex]
Step-by-step explanation:
using pythagorean theorem:
1² + 1² = [tex]\sqrt{2}[/tex]²
1 + 1 = 2
2 = 2
Match the statement with the appropriate reason for the proof above. Answers may be used more than once. You will have to fill in the blanks for 3
and 9 so you know the reason to match it with, but you are not picking solutions for 3 and 9
Answer:
Step-by-step explanation:
From the given question, the following statements and reasons can be matched;
Statement Reason
1. <1 and <2 are linear pair Given
2. <1 and <2 are supplementary Linear pair postulate
3. <1 ≅ <2
4. <1 ≈ <2 Given
5. m<1 = m<2 Substitution POE
6. m<1 + m<2 = [tex]180^{o}[/tex] Def of supplementary angles
7. 2(m<1) = [tex]180^{o}[/tex] Simplify/ Combine like terms
8. m<1 = [tex]90^{o}[/tex] Definition of right angle
9. 2(m<2) = [tex]180^{o}[/tex]
10. g ⊥ h Def of perpendicular lines
Find the measure of the major arc
Answer:
Step-by-step explanation:
If the minor arc is 133, the major arc is going to be
Major arc = 360 - Minor arc
Minor arc = 133
Major arc = 360 - 133
Major arc = 227
Does this make sense? It should. If you put a line from C to A then extend it until it hit the circumference, you would get a diameter which is a 180o angle. The major arc through D is greater than 180. So 227 is a reasonable answer.
Which is an equation of the inverse of y=3/2x?
Answer:
y
=
3
2
x
Rewrite in slope-intercept form.
Tap for more steps...
y
=
3
2
x
Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps...
Slope:
3
2
y-intercept:
(
0
,
0
)
Any line can be graphed using two points. Select two
x
values, and plug them into the equation to find the corresponding
y
values.
Tap for more steps...
x
y
0
0
2
3
Graph the line using the slope and the y-intercept, or the points.
Slope:
3
2
y-intercept:
(
0
,
0
)
x
y
0
0
2
3
image of graph
Step-by-step explanation:
What is the volume of this cone?
Answer:
r=6.1cm
volume=1/3πr^2
=1/3×22/7×6.1^2
=818.62/21
=38.98cm^3
MARKING BRAINLIEST HELP
Answer:
i think A
Step-by-step explanation:
sorry if im wrong
Can someone helps mezzzz
1 tàu hỏa đi từ A đến B với quãng đường là 40km . Khi đi đến B , tàu dừng lại 20 phút rồi đi tiếp 30km đến C với vận tốc lớn hơn vận tốc khi đi từ A đến B là 5km/h . Tính vận tốc của tàu khi đi trên quãng đường AB . Biết thời gian kể từ khi tài xuất phát từ A đến khi tới C hết tất cả 2gio
Answer:
The speed from A to B is 40 km/h.
Step-by-step explanation:
Distance from A to B = 40 km
Distance from B to C = 30 km
Speed from A to B is v km/h
Speed fro B to C is v + 5 .
total time, t = 2 hours
Stopping time at B = 20 minutes
Let the time from A to B is t'.
[tex]t'=\frac{40}{v}[/tex]
Let the time from B to C is t''.
[tex]t''= \frac{30}{v+5}[/tex]
The total time is
[tex]\frac{40}{v}+\frac{30}{v+5}+\frac{20}{60}=2\\\\\frac{40 v + 200 + 30 v}{v^2 + 5 v}=\frac{10}{6}\\\\420 v + 1200 = 10 v^2 + 50 v\\\\10 v^2 -370 v - 1200 = 0 \\\\v^2 - 37v - 120 = 0 \\\\v^2 - 40 v + 3 v - 120 = 0 \\\\v(v - 40) + 3 (v - 40) = 0\\\\(v - 4)(v + 3) = 0\\\\v = 40 km/h or - 3 km/h[/tex]
Speed cannot be negative so the speed from A to B is 450 km/h.
Solve for x.
A. 9
B. 42
C. 10
D. 12
⭐Answer:
✰According to angle property between tangent and secant✰
[tex](4x-8)=1/2(80)[/tex]
[tex]4x-8=40[/tex]
[tex]4x=40+8[/tex]
[tex]4x=48[/tex]
[tex]x=48/4[/tex]
[tex]x=12[/tex]
〖D) 12〗
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hope it helps...
The value of x is 12
What is Tangent and Secant Properties of a Circle?Circle is the collection of all points in a plane at a constant distance from a fixed point. The fixed point is known as the centre, and the constant distance is the circle’s radius. A line that intersects a circle in two distinct points is called a secant to the circle.
A line meeting a circle only in one point is called a tangent to the circle at that point. In this article, we will talk about the relative position of the circle and a line in the same plane. We will also examine the existence of tangents to a circle and their properties.
Using angle property between tangent and secant
(4x - 8) = 1/2*80
4x- 8 = 40
4x= 48
x= 12
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