Answers
Answer:
Angle BCA = 90
Step-by-step explanation:
A triangle inscribed inside of a circle using the diameter as it's hypotenuse is a right triangle
Where the angle opposite of the hypotenuse ( or diameter ) is the right angle
Angle BCA is the angle opposite of the diameter
Hence BCA = 90
Related Questions
How do I find RS? I've been having great trouble with questions like this recently.
Answers
To find the value of RS, you first have to solve for the variable x.
To do this you solve the equation of 2x - 6 + 1 + x - 4 = 18. You get this equation by adding all the values of the line PS together, equaling them to 18, because these lines have the same value.
Solving this equation gives you x = 9.
You then substitute 9 into x - 4.
9 - 4 = 5.
This gives you RS = 5
Answer:
5
Step-by-step explanation:
We can solve by solving for x
2x-6 + 1 + x-4 = 18
3x-9=18
3x=27
x=9
Plug in 9 for x in Segment RS and you get (9) - 4 = 5
Hope this Helps!
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How many multiples of 13 are between 100 and 1000
Answers
Answer:
The first number between 100 & 300 divisible by 13 is 104
Step-by-step explanation:
Find the 23rd term of the arithmetic sequence whose common difference is d=4 and whose first term is a^1 = 3.
Answers
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
Answers
Answer:
unbiased
Step-by-step explanation:
it would be biased if you lets say survey the history club kids
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
Answers
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
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PLS HELP
Answers
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.
explanation : i got it from the guy up there^^
how to find the constant of proportionality on a graph
Answers
Solve for x.
A. 9
B. 42
C. 10
D. 12
Answers
⭐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〗
☁☁☁☁☁☁☁
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
Learn more about tangent here:
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An airplane flies due north from ikeja airport for 500km.It then flies on a bearing of 060 from a further distance of 300km before over flying a road junction. Calculate A. Distance of airplane from ikeja airport when it was directly above the road junction B. The bearing of the airplane from ikeja airport at this instant
Answers
Answer:
482 km
63.94 degrees
Step-by-step explanation:
to solve this question we will use the cosine rule. For starters, draw your diagram. From point A, up north is 500km and 060 from there, another 300. If you join the point from the road junction back to the starting point, yoou have a triangle.
Cosine rule states that
C = [tex]\sqrt{A^{2} + B^{2} -2AB cos(c) }[/tex]
where both A and B are the given distances, 500 and 300 respectively, C is the 3rd distance we're looking for and c is the given angle, 060
solving now, we have
C = [tex]\sqrt{500^{2} + 300^{2} -2 * 500 * 300 cos(60) }[/tex]
C = [tex]\sqrt{250000 + 90000 - [215000 cos(60) }][/tex]
C = [tex]\sqrt{340000 - [215000 * 0.5 }][/tex]
C = [tex]\sqrt{340000 - [107500 }][/tex]
C =[tex]\sqrt{232500}[/tex]
C = 482 km
The bearing can be gotten by using the Sine Rule.
[tex]\frac{sina}{A}[/tex] = [tex]\frac{sinc}{C}[/tex]
sina/500 = sin60/482
482 sina = 500 sin60
sina = [tex]\frac{500 sin60}{482}[/tex]
sina = 0.8983
a = sin^-1(0.8983)
a = 63.94 degrees
For triangle ABC C = 90 Side AC = 13.5 Side BC = 8.6 Find the measure of angle B
Answers
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°
What is the volume of this cone?
Answers
Answer:
r=6.1cm
volume=1/3πr^2
=1/3×22/7×6.1^2
=818.62/21
=38.98cm^3
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?
Answers
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
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?
Answers
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
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
Answers
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.
Which is an equation of the inverse of y=3/2x?
Answers
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:
can someone help me please
Answers
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]
Find the median of the data. 43, 37, 49, 51, 56, 40, 44, 50, 36
Answers
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
Given that x= -3, what is the value of 2ײ - x + 5?
Answers
Answer:
26
Step-by-step explanation:
2(9)-(-3)+5
2(9)+3+5
18+8
26
Answer:
26
Step-by-step explanation:
2x^2 -x+5
x=-3
2(-3)^2 -(-3)+5
2(9)-(-3)+5
18-(-3)+5
negative multiplied by negative is positive so you have
18+3+5= 26
Have a nice day :)
The following chart shows a store’s coat sales for two years. Identify the percent increase in total sales and the percent increase in sales of jackets. Then find which percent of increase is greater and by how much greater it is than the other. (Round your answer to the nearest tenth.) a. Sales of jackets increased 3.6 percentage points faster than total coat sales. b. Sales of jackets increased 18.8 percentage points faster than total coat sales. c. Total coat sales increased 8.1 percentage points faster than sales of jackets. d. Total coat sales increased 24.5 percentage points faster than sales of jackets. Please select the best answer from the choices provided A B C D
Answers
Answer:
The answer is "Option b"
Step-by-step explanation:
Please find the complete question in the attached file.
In 2006:
Top coats= 297
Parkas= 210
Jackets =213
Raincoats=137
Trench coats =103
Total: [tex]297+210+213+137+103=960[/tex]
In 2007:
Top coats =223
Parkas = 210
Jackets= 285
Raincoats = 259,
Trench coats =127
Total: [tex]223+210+285+259+127=1,104[/tex]
Calculating the percentage of the increasing total sales:
[tex]\to \frac{1,104-960}{960}\times 100=15\%[/tex]
Calculating the percentage of the increasing sales of the trench coats: [tex]\to \frac{127-103}{103}\times 100 \approx 23.3\%[/tex]
Because [tex]23.3\%- 15\%=8.3\%[/tex] sales of the Trench coats increase by 8.3% point is faster than the total coat sales.
Answer:
B
Step-by-step explanation:
Can someone please help me
Answers
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.
a) Find the model value of the given data:
2,3,6,5,4,3,4,6,3
Answers
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.
Find the measure of the major arc
Answers
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 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
Answers
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
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.
Answers
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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If x=10 what is the value of 4(x-2)
A.48
B.32
C.38
D.8
Answers
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...half of a dome is called what?
Answers
Answer:
See I don't know the Answer but I Need points to ask question so Sorry
Step-by-step explanation:
bill changes £450 from his bank to $729 what exchange rate did he get?
Answers
Answer:
$1.62
Step-by-step explanation:
You can earn money by shoveling your neighbors' driveways in the winter and get paid $10 per hour. What is a function that would define this situation?
Answers
Answer:
Total income= $100
Step-by-step explanation:
Giving the following information:
Hourly rate=$10
To calculate the total income, we need to use the following formula:
Total income= hourly income*number of hours
For example, for 10 hours shoveling in a week:
Total income= 10*10
Total income= $100
MARKING BRAINLIEST HELP
Answers
Answer:
i think A
Step-by-step explanation:
sorry if im wrong
Help me please Help me please Help me please
Answers
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]