[tex]\textit{arc's length}\\\\s=\cfrac{\theta \pi r}{180}~~\begin{cases}r=radius\\\theta =\stackrel{degrees}{angle}\\[-0.5em]\hrulefill\\r=13.5\\\theta =120\end{cases}\implies \begin{array}{llll}s=\cfrac{(120)\pi (13.5)}{180}\implies s=9\pi \\\\\\s\approx 28.27\end{array}[/tex]
Is the graphed function linear?
O Yes, because each input value corresponds to
exactly one output value.
O Yes, because the outputs increase as the inputs
increase.
O No, because the graph is not continuous.
O No, because the curve indicates that the rate of
ET
Answer:
please provide an image of the graph
A rectangular field is 95 meters wide and 140 meters long. A coach
asks players to run from one corner to the opposite corner diagonally
across the field. How much shorter is the diagonal of the field than its
perimeter? Provide an answer accurate to the nearest tenth.
Answer: don’t have a calculator but if you do write this and you will get your answer 140 x 95
Step-by-step explanation:
Question 9 of 10
If you shift the linear parent function, f(x) = x, down 7 units, what is the
equation of the new function?
A. g(x) = x
O B. g(x) = 7x
x
O c. g(x) = x - 7
D. g(x) = x+7
awnser
The correct answer is C. f(x) = x - 7
Step-by-step explanation:
In order to find this, you simply need to know that vertical shifts can be added on to the end of parent equations as constants. Since this is a downward shift, we use a negative number.
Find the equation of the tangent line to the curve y=
The equation of the tangent line to the given curve (which is parallel to line (2x−y+9=0) is y−2x−3=0.
What is the equation of tangent?There are two important elements to finding an equation that defines a tangent line: its slope and its point of contact with a curve.
The equation of the given curve is;
[tex]\rm y=x^2-2x+7[/tex]
On differentiating with respect to x, we get:
dx/dy=2x−2
The equation of the line is;
2x−y+9=0
y=2x+9
The slope of the line =2
If a tangent is parallel to line 2x−y+9=0, then the slope of the tangent is equal to the slope of the line.
Therefore, we have:
2=2x−2
2x=4
x=2
Now, at x=2
y=22−2×2+7=7
Thus, the equation of the tangent passing through (2,7) is given by,
y−7=2(x−2)
y−2x−3=0
Hence, the equation of the tangent line to the given curve (which is parallel to line (2x−y+9=0) is y−2x−3=0.
Learn more about tangent here;
https://brainly.com/question/17576140
#SPJ4
can someone help me here
NONSENSE=REPORT
topic: Inscribed Quadrilateral theorem in a Circle
Answer:
Step-by-step explanation:
Problem 12
Comment
A cyclic quadrilateral (a 4 angled quadrilateral where all 4 corners touch the circumference of a circle), has the property that opposite angles add up to 180 degrees.
Formula
4x + 9 + 3x + 3 = 180 Collect like terms
Solution
4x + 3x + 9 + 3 = 180 Combine
7x + 12 = 180 Subtract 12 from both sides
7x + 12 -12 = 180 - 12 Combine
7x = 168 Divide by 7
7x/7 = 168/7
x = 24
Answer
x = 24
Problem 13
Comment
Same comment as was given for problem 12
Formula
3x + 2 + 3x - 32 = 180 Collect like terms
Solution
3x + 3x +2 - 32 = 180 Combine
6x - 30 = 180 Add 30 to both sides
6x -30+30 = 180 + 30
6x = 210 Divide by 6
6x/6 = 210/6
x = 35
Answer
x = 35
Hey there!
[QUESTION #12]
EQUATION: 4x + 9 + 3x + 3 = 180°
4x + 9 + 3x + 3 = 180°
COMBINE the LIKE TERMS
(4x + 3x) = (9 + 3) = 180°
4x + 3x + 9 + 3 = 180°
7x + 12 = 180°
SUBTRACT 12 to BOTH SIDES
7x + 12 - 12 = 180 - 12
SIMPLIFY IT!
7x = 180 - 12
7x = 168
DIVIDE 7 to BOTH SIDES
7x/7 = 168/7
SIMPLIFY IT!
x = 168/7
x = 24
Therefore, the answer should be:
x = 24
[QUESTION #13]
EQUATION: 3x + 2 + 3x - 32 = 180°
3x + 2 + 3x - 32 = 180°
COMBINE the LIKE TERMS
(3x + 3x) + (2 - 32) = 180°
3x + 3x + 2 - 32 = 180°
6x - 30 = 180°
ADD 30 to BOTH SIDES
6x - 30 + 30 = 180 + 30
SIMPLIFY IT!
6x = 180 + 30
6x = 210
DIVIDE 6 to BOTH SIDES
6x/6 = 210/6
SIMPLIFY IT!
x = 210/6
x = 35
Therefore, the answer should be:
x = 35
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
the sphere at the right fits snugly inside a cude with 14in edges. what is the approximate volume of the space between the sphere and the cube?
Answer:Find the vol of the sphere:
radius of the sphere = 3 in
V = %284%2F3%29%2Api%2A3%5E3
V = 97.858
:
Find the vol between the sphere and cube:
216 - 97.858 = 118.142 cu/in
Step-by-step explanation:
What is the measure of angle BOC, in degrees?
Answer:
The answer is 100 degrees.
Step-by-step explanation:
Step 1. Set up the equation 20x+25x=180
Step 2. Simplify to get 45x=180
Step 3. Divide 180 by 45 to get 4.
Step 4. Do 25x4 to get an answer of 100.
I hope this helps! :)
What is the value of x in the triangle?
Answer:
a) 10√2 is correct answer
50 points please help
please explain your answer please ( such as formula n such )
Answer:
See below ~
Step-by-step explanation:
Part (a) :
Formula : Perimeter = 2 (Length + Width)⇒ 278 = 2(54 + Length)⇒ 139 = 54 + LengthLength = 139 - 54 = 85 mPart (b) :
Formula : Area = Length × Width⇒ 8811 = 99 x Width⇒ Width = 8811/99Width = 89 cmAnswer:
(a) The length is 85 m.
(b) The width is 89 cm.
Step-by-step explanation:
(a)
Perimeter (P) formula using the length (L) and width (W) of a rectangle.
P = 2L + 2W
P = 278 m
W = 54 m
278 = 2L + 2(54)
2L + 108 = 278
2L = 170
L = 85
Answer: The length is 85 m.
(b)
Area (A) formula using the length (L) and width (W) of a rectangle.
A = LW
A = 8811 cm²
L = 99 cm
8811 = 99 × W
W = 8811/99
W = 89
Answer: The width is 89 cm.
please help i have to write and i dont understand
Answer:
A. This is a vertical angle set. As you can see, they are cut by the transversal and have the exact same interior angle, so it is a vertical angle.
B. Since these too are vertical angles, all you have to do is just put each expression on the sides of an equation like so:
5y-29=3y+19
Once you do this, you just need to simplify the equation by putting like terms together, and then you will find the solution for y, which is 24.
C. We know that the solution for y is 24, so we need to plug it into the equation to find, the angle, so if we do 3*24-19, we get 53, so we need to subtract that from 180 degrees, which is the total angle of the straight line, then we can get 127 degrees, which is what angles <7 and <8 are.
Step-by-step explanation:
Given cosθ= -[tex]\frac{7}{9}[/tex] and tanθ<0, find sin2θ
[tex] \sin {}^{2} (x) + {cos}^{2} (x) = 1[/tex]
[tex] {sin}^{2} (x) = 1 - {cos}^{2} (x)[/tex]
[tex] {sin}^{2} (x) = 1 - ({ \frac{ - 7}{9} })^{2} \\ [/tex]
[tex] {sin}^{2} (x) = 1 - \frac{49}{81} \\ [/tex]
[tex] {sin}^{2} (x) = \frac{81}{81} - \frac{49}{81} \\ [/tex]
[tex] {sin}^{2} (x) = \frac{32}{81} \\ [/tex]
[tex] \sin(x) = ± \sqrt{ \frac{32}{81} } \\ [/tex]
_____________________________________________
[tex] \tan(x) < 0 \: \: \: and \: \cos(x) < 0[/tex]
Thus :
[tex] \sin(x) > 0[/tex]
So we have :
[tex] \sin(x) = + \sqrt{ \frac{32}{81} } \\ [/tex]
[tex] \sin(x) = \frac{ \sqrt{16 \times 2} }{ \sqrt{9 \times 9} } \\ [/tex]
[tex] \sin(x) = \frac{4 \sqrt{2} }{9} \\ [/tex]
_____________________________________________
[tex] \sin(2x) = 2 \times \sin(x) \times \cos(x) [/tex]
[tex] \sin(2x) = 2 \times \frac{4 \sqrt{2} }{9} \times ( - \frac{7}{9} ) \\ [/tex]
[tex] \sin(2x) = - \frac{56 \sqrt{2} }{81} \\ [/tex]
please answer asap, much appreciated!!!! (will mark brainliest)
Answer: i have had this question before and got it right but i forgot i wish i could help
Step-by-step explanation:
Each year, inflation causes our money's value to decrease by about 3%. If you put $1,000 in a safe in 2022, how much will it actually be worth in 2030?
Show how you got the answer
How much numbers are on a number line?
Answer:
all real numbers, continuing forever in each direction, and also numbers that are between the integers
Answer:
10
Step-by-step explanation:
PLSSS HELP IF YOU TURLY KNOW THISS
Answer: hii
1 4/6 Is the Answer I Believe.
Step-by-step explanation:
Hopefully this helps you
- Matthew
Please Help! The amount of money in an account may increase due to rising stock prices and decrease due to falling stock prices. Emerson is studying the change in the amount of money in two accounts, A and B, over time.
The amount f(x), in dollars, in account A after x years is represented by the function below:
f(x) = 1,264(1.09)x
Part A: Is the amount of money in account A increasing or decreasing and by what percentage per year? Justify your answer.
Part B: The table below shows the amount g(r), in dollars, of money in account B after r years.
r (number of years):
1
2
3
4
g(r) (amount in dollars):
1,375
1,512.50
1,663.75
1,830.13
Which account recorded a greater percentage change in amount of money over the previous year? Justify your answer.
Answer:
The account is decreasing at an annual rate rate of 8%.The account decreasing at annual rate of 10.00%
Account B is Recorded a greater percentage change in amount of money over the previous year.
The volume inside a rectangular storage room is 2,070 cubic feet. The room is 9 feet high. Find the area of the floor.
Answer:
230
Step-by-step explanation:
V = Base x hight
2070 = Base x 9
Base = 2070/9
Base = 230
Area = base
Area = 230
Bob Travled 60 miles every 1 hour he was on the road wich graph represents y the total number of miles driven x hours?
Answer:
Step-by-step explanation:
A. Find the mean, median, and mode of the following data.
a. 79, 84, 92, 81, 86, 77, 95, 80, 88, 84
b. 8, 9, 9, 9, 9, 10, 11, 15
c. 16, 23, 18, 30, 32, 34, 8, 19, 21
d. 3.4, 5.2, 2.6, 4.9, 8.2, 2.1, 2.6
STEM LEAF
3 1, 2
4 0, 1, 3, 4, 5, 6, 7
5 1, 4, 2
6 0, 6
e.
Answer:
Step-by-step explanation:
a, First arrange the data in ascending order:
77 79 80 81 84 84 86 88 92 95 <-- ten numbers.
Mean = sum of the numbers / 10
= 846/10
= 84.6.
The median is the middle number in the ordered list, or if there are an even number of values, the mean of the 2 middle numbers. There are 10 numbers here, so the median = (84+84)/2 = 84
Median = 84.
The mode is the value that occurs most. Here we have 2 84's so
Mode = 84.
Parts b to d are done in the same way as for the above, note if there is no mode write None.
For the stem leaf data first write out individual vales and then proceed as in a).
Values = 31 32 40 41 43 44 45 46 47 51 54 52 60 66
Find the area of the shaded region. Express your answer in terms of \piπ and do not round any numbers.
Answer:
The strategy is to find out the total area and find the area of the 3 circles then subtract the sum of the circles' are from the total area
Total area = (length * width) = ( 3+6+9+12) * 18 = 540 sq. inch
3 Circles area = πr₁² + πr₂² + πr₃²
r₁= 12/2 = 6 in r₂ = 9/2 = 4.5 in r₃ = 6/2 = 3 inπr₁² + πr₂² + πr₃²
π(6²) + π(4.5)² + π(3)²
= 36π + 20.25π + 9π
= 65.25π
Shaded area = 540 - 64.25π = 335.011 sq. in
Write the sequences equation for the table . Your equation should be in the form a(n)=man+b
Answer:
a(n) = 3.25n + 1.25Step-by-step explanation:
7.75-4,5 = 3.25
11-7.75 = 3.25
14.25-11 =3.25
17.5-14,25 = 3.25
It’s clear that this is an arithmetic sequence with common difference of 3.25
The equation form of such sequence is a(n) = a×n + b ,where ‘a’ is the common difference.
Then
a = 3.25
The first term a₁ = 4.5
On the other hand, a₁ = 3.25 ×(1) + b
Then
4.5 = 3.25 ×(1) + b
Then
b = 4.5 - 3.25 = 1.25
Conclusion:
a(n) = 3.25n + 1.25
How many boxes of markers must be sold for the company’s income to equal the cost of production
Jenny has finished 20 of the 25 math problems on her homework sheet. Liam has finished the same percent of problems from his homework sheet. His homework contains 40 problems. How many problems has Liam finished?
The number of problems which are finished by Liam from his homework sheet when his homework contains 40 problems is 32.
What is percentage of a number?Percentage of a number is the part of the whole number which is expressed in the fraction of hundredth. It is represented with "%" symbol.
Jenny has finished 20 of the 25 math problems on her homework sheet. Thus, the total percentage of problems he finished is,
[tex]n=\dfrac{20}{25}\times100\\n=80\%[/tex]
Liam has finished the same percent of problems from his homework sheet which is 80%. His homework contains 40 problems. Thus, the number of problems has Liam finished,
[tex]x=\dfrac{80}{100}\times40\\x=32[/tex]
Hence, the number of problems which is finished by Liam from his homework sheet when his homework contains 40 problems is 32.
Learn more about the percentage here;
https://brainly.com/question/2085058
#SPJ1
This triangle can be called acute or _____________.
Question 1 options:
A: equilateral
B: isosceles
C: scalene
D: right
Answer:
B: isosceles
Step-by-step explanation:
Two angles of an isosceles acute triangle measure the same.
Jayson has $18.00. He buys a ticket to the baseball game for $10.75.
How much money does Jayson have left? Draw or use bills and coins to solve.
A. $12.25
B. $10.25
C. $8.25
D. $7.25
Answer:
$7.25 or D
Step-by-step explanation:
First take the 18$ and the $10.75 and subtract 10.75 from 18 and get $7.25
The equation of the line which passes through the point (3, 7) and has a gradient of 3 is:
Answer:
y = mx + b, where m is gradient and b is y-intercept
y = 3
y = 3x + b
To find b use the coordinate (3, 7) to find b
7 = 3(3) + b
b = 7 - 9
b = -2
Therefore, the equation will be:
Therefore, the equation will be:y = 3x - 2
Step-by-step explanation:
.
Find the new dimensions of the figure given at right when it is enlarged by scale factor of 2.5 then find the perimeter and area of the original and enlarge it figure
The perimeter and area of the original are 20 ft and 23.5 square ft and the enlarged figure are50 ft and 146.875 square ft.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The figure is the combination of a triangle and a square.
The area of the original (A₀) figure will be
[tex]\rm A_o = \dfrac{1}{2} \times 3 \times 5 + 4 \times 4\\\\A_o = 23.5 \ ft^2[/tex]
The perimeter of the original figure (P₀) will be
[tex]\rm P_o = 3 + 5 + 4 + 4 + 4\\\\P_o = 20 \ ft[/tex]
The scale factor is 2.5.
Then the dimension of the triangle will be
h = 2.5 × 3 = 7.5 ft
b = 2.5 × 5 = 12.5 ft
Then the dimension of the square will be
a = 2.5 × 4
a = 10 ft
The area of the new figure will be
[tex]\rm A = \dfrac{1}{2} \times 7.5\times 12.5 + 10*10\\\\ A = 146.875 \ ft^2[/tex]
The perimeter of the new figure will be
[tex]\rm P= 7.5 + 12.5 + 10+ 10+ 10\\\\P = 50 \ ft[/tex]
More about the geometry link is given below.
https://brainly.com/question/7558603
#SPJ1
Answer:
To find the perimeter of an enlarged figure, you can multiply the original figure’s perimeter by the scale factor. You could also multiply each dimension of the original figure by the scale factor to find the dimensions of the enlarged figure, and then add to find the perimeter.
Cost of a shirt: $14.95
Markup: 25%
Discount: 45%
Answer:
markup= 19.93 revenue, 4.98 gross profit
discount= $8.72
can someone help me with this problem?
Answer:
It's [tex]15ft^{3}[/tex]
Step-by-step explanation:
Since w is 4 on A and 2 on B just divide all sides by 2 to get your values for B
4 --> 2
10 ---> 5
2 ----> 1.5
making your answer 15ft^3
hope this helps:)
PLEASE HELP ME FIND THE AREA AND CIRCUMFERENCE
A=32.2
C=20.11
see the step by step calculation attached..