Answer:
15
Step-by-step explanation:
The length of the arc in its simplest form will be 138.16 units.
What is the arc length of the sector?Let r is the radius of the sector and θ be the angle subtended by the sector at the center. Then the arc length of the sector of the circle will be
Arc = (θ/2π) 2πr
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
In a circle with a radius of 22, an angle measuring 2π radians intercepts an arc.
Then the length of the arc in the simplest form will be given as,
Arc = (2π/2π) 2π (22)
Arc = 44 x 3.14
Arc = 138.16 units
The length of the arc in its simplest form will be 138.16 units.
More about the arc length of the sector link is given below.
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A transformation of ASTV results in AUTV.
т
Which transformation maps the pre-image to the image?
dilation
reflection
un
rotation
th
translation
Answer: Reflection
Step-by-step explanation:
After reflection it maps the pre-image to the image.
What is mean by Translation?A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Given that;
A transformation of ΔSTV results in ΔUTV.
Now, We can see the image of triangles,
After reflection it maps the pre-image to the image.
Thus, The correct transformation which maps the pre-image to the image is, Reflection.
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Joshua uses his thermometer and finds the boiling point of ethyl alcohol to be 75 degrees Celsius. He looks in a reference book and finds that the actual boiling point of ethyl alcohol is 80 degrees Celsius. What is his percent error?
Answer:
6.25%
Step-by-step explanation:
Percent error is calculated by taking the difference of measured value and correct value divided by correct value and multiplied by 100%.
Mathematically,
Percent error = (correct value - measured value)/correct value * 100%
_________________________________________________
in the problem given
measured value = 75 degrees Celsius
correct value = 80 degrees Celsius ( as given in reference book)
thus,
Percent error = (80 - 75)/80 * 100%
Percent error = (5/80 )* 100% = 6.25%
Percent error calculated by him is 6.25%.
We will see that the percent error in Joshua's measure is:
Pe = 6.25%
How to get the percent error in a measure?
The percent error for a measure is computed as:
[tex]P_E = (\frac{A - M}{A})*100 \%[/tex]
Where A is the accepted value and M is the measured value.
Here we have:
A = 80°C
M = 70°C
Replacing that we get:
[tex]P_E = (\frac{80 \°C - 75 \°C}{80 \°C})*100 \% = 6.25 \%[/tex]
So we can conclude that the percent error is 6.25%
If you want to learn more about percent error, you can read:
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Solve by taking the square foot of both sides.
3(x+3)2 - - 81 = 0
x=-3-3-3 or – 3+3 / 3
b x = -3- 613 01-3+63
a.
c. x = 3-3301 3+33
d x-3-3-301-3+3.3
Answer:
x = - 12, x = 6
Step-by-step explanation:
Given
(x + 3)² - 81 = 0 ( add 81 to both sides )
(x + 3)² = 81 ( take the square root of both sides )
x + 3 = ± [tex]\sqrt{81}[/tex] = ± 9 ( subtract 3 from both sides )
x = - 3 ± 9
Thus
x = - 3 - 9 = - 12
x = - 3 + 9 = 6
A parabola has a vertex at (-1,0) and opens down. What is the equation of the parabola?
Answer:
y = - (x + 1)²
Step-by-step explanation:
Vertex form of a parabola is given by,
y = -(x - h)² + k
Where (h, k) is the ordered pair representing vertex.
(-) sign denotes that the parabola is opening downwards.
If the coordinates of the given parabola is (-1, 0)
Equation of the parabola will be,
y = - (x + 1)² + 0
y = - (x + 1)²
Therefore, equation of the parabola will be, y = - (x + 1)²
Please help quickly
Answer:
2x + 3
Step-by-step explanation:
Given
(x² + 7x + 1) + (- x² - 5x + 2) ← remove parenthesis
= x² + 7x + 1 - x² - 5x + 2 ← collect like terms
= 2x + 3
Answer:
2x+3
Step-by-step explanation:
which set of points contains the solutions to the inequality y < -2/3x - 13/3?
Answer:
D
Step-by-step explanation:
the sum of two numbers is 90 .the larger number is 14 more than 3 times the smaller number.
Answer:
The numbers are 19 and 71.
Step-by-step explanation:
Let x and y represent the two numbers. Then x + y = 90.
Also, if we assume that the larger number is y, then y = 3x + 14.
We must solve this system of linear equations. Since we already have the result of solution for y (y = 3x + 14), let's use the substitution method to find the solution:
x + y = 90 becomes x + 3x + 14 = 90, or:
4x = 76. Thus, x = 76/4, or 19. If x = 19, then y = 3(19) + 14, or y = 71.
The numbers are 19 and 71.
Note that these add up to 90, as they must, and that 71 is 14 more than 3 times 19.
Use the elimination method to solve the system of equations
Answer:
D
Step-by-step explanation:
2x + 3y = 18
3x - 3y = 12
the 3y and -3y cancel and you add the other like terms
5x = 30
x = 6
plug x back into any of the equations
2(6) + 3y = 18
12 + 3y = 18
3y = 6
y = 2
answer is (6,2)
Suppose the sample space for a continuous random variable is 0 to 50. If the
area under the density curve for the variable from 0 to 38 is 0.76, what is the
area under the density curve from 38 to 50?
A. 0.34
B. 0.924
C. 0.76
D. 0.24
Answer:
0.24
Step-by-step explanation:
Solve for y
-1 + y/8< 15
А. У<7/4
B. y < 2
C. y < 112
D. y<128
Answer:
D. y < 128
Step-by-step explanation:
-1 + y/8 < 15
y/8 < 15 + 1
y/8 < 16
y < 16 × 8
y < 128
Answer:
Y<128
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
1/8y-1<15
Step 2: Add 1 to both sides.
1/8y-1+1<15+1
1/8y=16
Step 3: Multiply both sides by 8.
(8)*(1/8y)<(8)*(16)
Y<128
HELLPPPP PLEASE ASAP WILL MARK BRAINLIEST!! PLEASW AND THANK YOUUU!!!
1. It is the product of a square, meaning it can be simplified to (x+10)(x+10) or (x+10)^2
Can someone help me ASAP
Answer:
36 ft.
Step-by-step explanation:
Use the Pythagoras Theorem.
h^2 = 10^2 + 24^2
h^2 = 676
h = √676
h = 26 ft.
Original height = 10+26 = 36 ft.
Answer:
D. 36 ftStep-by-step explanation:
the TRee form with the ground a right triangle
let’s calculate the length of the upper part of the tree which is the hypotenuse of the triangle:
now ,using the Pythagorean theorem we get :
upper part = √(10²+24²)
= 26
then
the original height of the tree
= 10 + 26
= 36 ft
Does (3, –8) make the equation y = –x + –5 true?
In the figure below an angle that is supplementary to angel FAB is:
Thank you if you could help me <3 It’s geometry
Answer:
CAB
Step-by-step explanation:
Angle CAB and Angle FAB together make 180 degrees(straight angle) . A supplementary angles equal to 180 degrees.
Which expression represents 10 in rational exponent form?
A. 10
B. (3)
C. 101/2
D. 102/1
E. 102
Answer:
its b i checked it
Step-by-step explanation:
The equivalent rational exponent form of the expression [tex]\sqrt{10}[/tex] is [tex]10^{\frac{1}{2}[/tex].
What are surds and indices?We know there are two types of radicals one is surds when the number has been raised by such power that it is greater than zero and less than one,
The other type of radicals are indices where a number is raised to such power that is greater than one.
We know the square root of a number indicated the number has been raised by half.
Given, An expression [tex]\sqrt{10}[/tex].
So, The rational form of the expression [tex]\sqrt{10}[/tex] should be [tex]10^{\frac{1}{2}[/tex].
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Which expressions are equivalent to 5x-15? Select three options
B,C,E
Answer:
5(x-3)
Step-by-step explanation:
5(x - 3)
= 5*x - 5*3
= 5x - 15
Answer:
yup this is correct b,c,e
Step-by-step explanation:
Which algebraic expression represents this phrase? The product of 34 and the number of pounds
Answer:
D. 34 * p
Multiply them dude...
Answer:
D. 34 · p
Step-by-step explanation:
Product means multiplication, so the product of 34 and p is 34×p or 34·p
Hope this helps,
plx give brainliest
Darin has 5 coins that the total 62%. What are the coins?
How can you determine the type of the triangle based on the lengths of the sides in a triangle?
Answer:
You can determine the type of triangle using the following facts related to the converse of the pythag theorem
if a^2 + b^2 > c^2, then it is an obtuse triangle
if a^2+b^2<c^2, then it is an acute triangle
finally, if a^2+b^2=c^2, then it is a right triangle
NOTE THAT C ALWAYS EQUALS THE LONGEST LENGTH OF THE TRIANGLE!!!
pls answer for brainliest!!! thank you
Answer:
$6 per week, $600 total
Step-by-step explanation:
$30 total divided equally by 5 weeks = $6 per week. She will rase $6 per week.
After she raises $30 more, her total will be $200. Since her father and mother will also match her total they will both give $200.
$200+$200+$200 (Father+mother+Jane)=$600 total by the family
have a nice day :)
Jason wants to cut a rope that is 60 feet long into several equal pieces with nothing left over. How many pieces will he have if the length of each piece is the greatest integer possible?
Answer:
2 pieces, 30ft each
Step-by-step explanation:
rope : 60ft long
we are trying to figure out how many equal pieces we can cut the rope into with the length of each piece to be the greatest possible integer:
if jason wants the length of rope to be the longest than the answer is 2, if he divides the length of 60 by 2, each piece will be 30 feet long. If he divides the rope by any number larger, each piece will be shorter than 30 feet, and he wants the piece to be the largest possible length.
Order the side lengths of the triangle from shortest
to longest.
aco
c
57
63
60
Note: Figure not necessarily drawn to scale.
Answer:
Step-by-step explanation:
57
60
63
An insurance company uses the formula T = 3.5n + 5 to work out the cost, T pounds, for insuring a customer for n days. Work out the cost for travel insurance for 4 days.
Answer:
19
Step-by-step explanation:
T=3.5n+5 -------- T= 3.5(4)+5
3.5*4 = 14 -------- T=14+5
T=19
The cost of travel insurance for 4 days is 19 currency units
The expression T = 3.5n + 5 shows the cost of insuring a customer for n days.
The question wants to know the cost of insuring a customer for 4 days. You should therefore replace the n in the expression with 4.
= 3.5n + 5
= 3.5 x 4 + 5
= 14 + 5
= 19 currency units
The cost of travel insurance for 4 days is therefore 19 currency units.
Find out more at https://brainly.com/question/16871646.
The quadrilateral with the following vertices is a
(-6, -2), (1, -2), (4,-5), (-4,-5)
parallelogram
rectangle
trapezoid
square
Answer:
Parallelogram
Step-by-step explanation: You have to plot the points in a coordinate plane. If you do that and connect the dots you will get parallelogram.
Select all the correct answers. Aisle 2 of a furniture store stocks 4-legged chairs, 4-legged tables, and 3-legged stools. If there are t tables, c chairs, and s stools, which expressions show the total number of furniture legs in aisle 2?
Answer: T = 4c + 4t + 3s
Step-by-step explanation:
Stocks contains:
4-legged chairs
4-legged tables
3-legged stools
So, 1 chair has legs = 4
So, c chairs has legs = 4c
1 table has legs = 4
So, t tables has legs = 4t
1 stool has legs = 3
So, s stools has legs = 3s
Let T denotes the total no. of legs
So, the total number of furniture legs in aisle 2 :
T = 4c + 4t + 3s
i really need an answer fast
x=-7
We can write them both like functions like this
A= 5x -4
B= 3x +8
Where
x=input
A=Output A
B=Output B
We want the output of A 3 times the output of B this can be written like this:
A= 3b
we replace with the functions
5x-4 = 3(3x+8)
solve for x and you get -7
NEED HELP AGAIN . ASAP PLS AND THX
Answer:
I am pretty sure its (a) and (c)
Step-by-step explanation:
Question 5
3+7(2-5)+4
-26
The right answer is -14
please see the attached picture for full solution
Hope it helps
Please help me !!!!!!!!!!!!!!!!
Express the following rate as a unit rate.
224 miles in 4 hours
50 miles per hour
64 miles per hour
56 miles per hour
44 miles per hour
Answer:
224/4
this will give you 56 miles per hour, or c.
Step-by-step explanation:
Hope this helps!