Answer:
130
Step-by-step explanation:
Hello There!
An included angle is equal to half the measure of its included arc
So more specifically for this circle
∠mABC = [tex]\frac{1}{2}[/tex] arc(mAB)
So in order to find the value of x we are going to want an equation
Because angle ABC is equal to 1/2 of arc AB we are going to want to multiply angle ABC's expression by two
So 2(3x+32) = 10x+20
now we solve for x
step 1 distribute the 2
2 * 3x = 6x
2 * 32 = 64
now we have
6x + 64 = 10x + 20
step 2 subtract 20 from each side
64 - 20 = 44
20 - 20 cancels out
now we have 6x + 44 = 10x
step 3 subtract 6 x from each side
10x - 6x = 4x
6x - 6x cancels out
now we have 44 = 4x
step 4 divide each side by 4x
44/4=11
4x/4=x
we're left with x = 11
finally we want to plug in 11 to x for (10x+20)
10(11)+20
10*11=110
110+20=130
so arc ab = 130
Answer:
AB = 130
Step-by-step explanation:
So, according to a certain theorem to do with arcs and their angles, If a tangent and a chord intersect at a point on a circle, then the measure of each angle formed is one half the measure of its intercepted arc.
In this case, the ARC is AB, and the angle is CBA.
CBA = 3x+32
AB = 10x+20
And,
[tex]CBA = \frac{1}{2} AB[/tex]
Now,
[tex]3x+32=\frac{1}{2} (10x+20)[/tex]
[tex]3x+32=5x+10\\32=2x+10\\22=2x\\11=x[/tex]
Now we can substitute x into the equation that equals AB
[tex]10(11)+20 \\=110+20\\=130[/tex]
So, the answer is 130, sorry I took a while, the explanation takes a long time to do lol.
Have a nice day fam. Spread The Love.
solve this question plz 3 / 2 root 3
Answer:
Step-by-step explanation:
Actually, you are to put this expression into standard form, with no radical in the denominator. There's no equation here, just an expression.
3/(2√3) is to be multiplied by √3 to remove the radical from the denominator:
3 √3 3√3 √3
------- * ------ = ------------- = -------
2√3 √3 6 2
what is the surface area of the image shown
6 in.
3 in.
5 in.
Answer:
126.0000
Step-by-step explanation:
A cylinder has a base diameter of 16 m in a height of 14 m. What is its volume in cubic meters to the nearest tenths place?
Answer:
896pi
Step-by-step explanation:
pi(8)^2(14)
A tour company has a boat that sits at most 40 passengers. For a cruise on the Hudson River they charge $12 per adult and $5 per child. They will only take the boat out if they have sold at least $250 worth of tickets. Let a be the number of adults who take the cruise and c be the number of children.
Answer:the answer is 2
Step-by-step explanation:
If you can these questions hElp
I think 7 is B but am not 100% sure
Answer:
7. Can't see the triangle
8. F
9. D
Step-by-step explanation:
8. [tex]15*\frac{1}{4} = 3\frac{3}{4}[/tex] [tex]16*\frac{1}{4} =4[/tex]
9. An obtuse angle is any angle bigger than [tex]90^{o}[/tex] (right angle) but smaller than [tex]180^{o}[/tex] (reflex angle)
Which expression is equivalent to 2(4x + 7)?
6x + 7
6x + 9
8x + 7
8x + 14
Answer:
C, or D
Step-by-step explanation:
The answer is C, or D
Answer:
8 x + 14
Step-by-step explanation:
2(4x+7)
2×4x +2×7 =
8x+14
Find the solution: Mrs. Simms is planning a garden. IT will be 27 feet long and 18 feet wide. What will be the area of the garden?
Answer:
486 feet squared
Step-by-step explanation:
0.75 is 0.24% of what number? Express your answer as a decimal.
Answer:
0.18
Step-by-step explanation:
24% × 0.75 =
(24 ÷ 100) × 0.75 =
(24 × 0.75) ÷ 100 =
18 ÷ 100 =
0.18
brainliest please?
Find the length of side x in simplest radical form with a rational denominator.
60°
V3
30°
X
Answer:
Answer:
x = (4√3)/3 units
Step-by-step explanation:
Here we have a right 60,30 Triangle with Side 2 units and Htpotenuse x units.
Now, Sin 60° = Opp. /Hyp Sin 60° = 2/x But we know that, Sin 60° = √3/2 So,√3/2 = 2/x Cross multiplying we get,
x√3 = 4x = 4/√3 Rationalizing the denominator, x = (4/√3) × (√3/√3) x = (4√3)/3 units
Hope it helped and believing you understood it........All the
Step-by-step explanation:
hey please help me with this ty
Answer:
3d
Step-by-step explanation:
3 miles per day
if he runs for two days he runs 6 miles 3(2)
etc etc
plz plz plz help plz :( i only need 4
For Pitch Trax question, I'd say pitchers
For the def of technology, science of problem solving
For the automoblies and jets, answer should be trains.
For the last question, I think the answer you had is right.
I'm so sorry if anything of these are wrong.
what’s the answer?
Hehdbdjnedhbddh
Greatest common factor of 112 and 63
Answer:
It's 7!
Step-by-step explanation:
A polygon has 6 sides. The exterior angles are 80 degrees, 56 degrees, 61 degrees, 43 degrees, 92 degrees, and (2 x) degrees. What is the value of x? x =
Answer:
14 degrees is right! just wanted to add some credibility(?) idrk. best of luck!
Step-by-step explanation:
The value of x in the polygon that has six sides(hexagon) is 14.
What is a hexagon?An hexagon is a polygon with six sides.
The exterior angles of the hexagon are as follows:
80°, 56°, 61°, 43°, 92°, and (2x)°.
Therefore,
sum of exterior angle = 360°
Hence,
80 + 56 + 61 + 43 + 92 + 2x = 360
332 + 2x = 360
2x = 360 - 332
2x = 28
x = 28 / 2
x = 14
learn more on hexagon here: https://brainly.com/question/15902950
While completing a race, Ned spent 63 minutes walking. If the
ratio of time walking to jogging was 9:1, how many minutes
did he spend completing the race?
Answer:
therefore ned spent 1 hour and 10 minutes completing the race.
HELP ME AS QUICK!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The difference in square feet is 75 square feet.
Step-by-step explanation:
Formula for area of a rectangle: Area = length x width
Current measurements: 12 by 10, so
A = 12 x 10 = 120 square feet
New measurements: 15 by 13 (adding 3 feet to each)
A = 15 x 13 = 195 square feet
Subtract to find the difference:
195-120 = 75
Please let me know if you have questions.
BRAINLIEST
a. 18
b. 4.5
c. 3 sqrt of 2
d. sqrt of 14
Answer:
A
Step-by-step explanation:
basically b = square root x times c
b= x
x= 2
c= 2+7 or the full length
Answer:
Step-by-step explanation:
(-6,4); (6-5)
Slope
Giving branliaist answer to the best one
100 POINTS!!! Given f(x) = [tex]x^2[/tex] - 6x + 8 and g(x) using a table of values. Show your work.
Answer:
X^2-6x+8 -X+2=0
X^2-7x+10=0
(X-5)(X-2)=0
Answer X= 5 and X=2
Step-by-step explanation:
15. A TV is listed as being 40 inches. This distance is the diagonal across
the screen. We know that the TV is a rectangle (two right triangles). If the
screen measures 24 inches in height and 32 inches in length, is the
diagonal exactly 40 inches? *
Answer:
Its just a tv
Step-by-step explanation:
can u help me with this question
Answer:
3. y = -2√(x+3) - 5Explanation:
reflected across the x-axis: the y is negative (2 eliminated)
vertically stretched by a factor of 2 (they're all stretched by a factor of 2)
translated left 3 units (1 eliminated)
translated down 5 units (4 eliminated)
3 is left which is y = -2√(x+3) - 5
In which interval is the median distance
the median of the given frequency distribution is 470. Since \frac{80}{2} = 40 lies in the cumulative frequency of the class interval 24 – 32, so 24 – 32 belongs to the median class interval. Lower limit of median class interval = ℓ = 24. Hence, the median of the given frequency distribution = 26
Please need help will mark brainliest find the coordinates of y and x intercept in three order
A city manager made a scatter plot of the number or retail store in a certain city over the years. the scatter plot had a trend line with an equation of y=11x + 12, where y is the total number of retail stores and x is the number of years since 1990. Tracy and her family moved to the city in 2003. Use the equation to predict how many retail stores there were in 2003?
Answer:
155
Step-by-step explanation:
The problem sounds complicated, but it's not. Let's analyse.
The city manager have come up with an equartion y=11x +12, with Y is the total number of the stores and X stands for how long it has been since 2003.
We can't explain how the manager came up with this equation, so iwe don't need to think of if the equation is real or not. Let's just base on what we have.
Because the equation aboce is a trendy line, it means that it would likely to be true with any X ( number of years since 1990).
In Tracy's case, the year is 2003, so it has been 2003 - 1990 = 13 years since 1990. This is the X in the equation. Now we only need to find Y in the equation, which is the number of retail stores there were in 2003, exactly what the problem asks.
y= 11x + 12
=> In Tracy's case: y= 11*13 + 12= 155
So the number of retail stores there were in 2003 was 155
The area of the octagon is how many meters squared?
Show your work.
A tower has lost contact with a GPS satellite. The satellite is at 4500 meters over the Earth at a location 2000 meters from the tower. At what angle should the tower point and scan to make contact again? Note the height of the tower is not included. Round answers to the nearest whole degree.The angle of elevation from the top of the tower to the satellite is?
Answer:
66°
Step-by-step explanation:
It is given that :
Distance of the satellite from the tower = 2000 m
Height of the satellite above the tower = 4500 m
Therefore the angle of elevation can be found out by :
[tex]$\tan \theta = \frac{4500}{2000}$[/tex]
[tex]$\tan \theta = \frac{9}{4}$[/tex]
[tex]$\tan \theta = 2.25$[/tex]
[tex]$\theta = \tan^{-1}(2.25)$[/tex]
[tex]$= 66 ^\circ$[/tex]
Therefore the tower can make contact with GPS satellite when it pointed at 66° angle.
11. Selvin owns x shoes. Trey has y shoes. The
number of shoes Selvin owns is 1 less than 2 times
the number Trey owns. Together they have a total of
11 pairs of shoes. How many shoes does Selvin and
Trey have each?
Solve the system using linear combination. Show all work.
5x + 3y = 41
3х - 6y = 9
some questions I have on a test that I need ASAP...
(for 20 points)
1. j + 12 = 25. What is the value of j?
2. k - 16 = 4. what is the value of k?
3. 12 = 8 + c. what is the value of c?
4. r/10 = 4. what is the value of r?
5. 64 = 16u. what is the value of u?
6. 3v = 12. what is the value of v?
Answer:
J+12=25 J=25-12
J=13
K-16=4 K=4+16
K=20
C+8=12 C=12-8
C=4
R / 10 =4 R =4 x 10
R=40
64=16 x U. U= 64 / 16
U=4
3 x v = 12 V = 12 / 3
V= 4
Step-by-step explanation:
J=13
K=20
C=4
R=40
U=4
V= 4
5/6 of what number
= 35
Answer:
42
Step-by-step explanation:
In order to find the answer to this question, I had to multiply 35 times 6/5.
35x6/5=42
You can check to make sure your answer is right by doing: 42x5/6=35.
You just have to multiply the number that we are using by the reciprocal of the fraction.
For instance: 2/3 of what number is 32
32x3/2= 48
48x2/3=32
The requried number is 42, where 5/6 of 42 is 35.
What is the fraction?Fraction is defined as the number of compositions that constitutes the Whole.
What are the factors?A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.
Here,
Let the number be x,
According to the question,
5 / 6 x = 35
x = 35 × 6 / 5
x = 7 × 6
x = 42
Thus, the requried number is 42, where 5/6 of 42 is 35.
Learn more about fractions here:
https://brainly.com/question/10708469
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