The area of each sector is the amount of space on the sector
The area of the entire region is 6.89The area of the double region is 0.75The area of the triple region is 0.46The area of the entire sectorThe area of a sector is calculated as:
A = (1/2) × r^2θ
For the entire sector, we have:
θ = π/10
r = 6.625
So, we have:
A = (1/2) × 6.625^2 × π/10
Evaluate the product
A = 6.89
The area of the double regionFor the double region, we have:
θ = π/10
r = 6.25
So, we have:
A = Complete sector - (1/2) × r^2θ
A = 6.89 - (1/2) × 6.25^2 × π/10
Evaluate the difference
A = 0.75
The area of the triple regionFor the triple region, we have:
θ = π/10
R = 4.125
r = 3.75
So, we have:
A = (1/2) × R^2θ - (1/2) × r^2θ
A = (1/2) × 4.125^2 × π/10 - (1/2) × 3.75^2 × π/10
Evaluate the difference
A = 0.46
Hence, the area of the triple region is 0.46
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How many different three digit numbers can be made with 123456789
Answer:
84
Step-by-step explanation:
Since, the digit should be in ascending order, therefore we have to group 123456789 into 3–3 groups with its digits being in ascending order.
Step 1:
Select 1 as one digit
Step 2:
Select 2 as a 2nd digit.
Step 3:
We have 7 numbers (3,4,5,6,7,8,9) as a 3rd digit of a 3-digit number. Therefore, We have 7 numbers in the form of 12_.
Go back to Step 2 and Select 3 as a 2nd digit. Then, we have 6 numbers (4,5,6,7,8,9) as a 3rd digit of the form 13_.
Continue these steps till you get the number of 3-digit numbers in the form of 1__ to 189 which will be 28 numbers.
Go back to Step 1 now and select 2 as a 1st digit and in Step 2, start with 3 as a 2nd digit.
In step 3, you’ll have 6 numbers (4,5,6,7,8,9) as a 3rd digit of the form 23_.
Continue these steps till you find the number of the 3 digit number of the form 2__ to 289 which will be 21
Repeat the steps again to find the number of 3digit number of the form 3__ to 389 which will be 15.
Then find 4__ to 489, 5__ to 589, ……till 789
the answers will be like this
1__=28
2__=21
3__=15
4__=10
5__=6
6__=3
789 which is 1
Adding all these, you’ll get 84.
The total number of different three digit numbers that can be made using any of the digits 1,2,3,4,5,6,7,8,9 is 729 digits.
What is the rule of product in combinatorics?If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in [tex]p \times q[/tex] distinct ways.
Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.
Thus, doing A then B is considered same as doing B then A
We can use the rule of product as:
we can use the analogy of filling each of the 3 places of the three digit number, and this filling doesn't require any ordering like fill the first place and then second etc. We can take those 3 place fillings as 3 different works to be done,e each one doable in 9 different ways.For this case, the three digit number consider is going to have 3 places in it such that each place can have any of those 9 digits in them.
So each place can be filled in 9 ways.
There are 3 such places, so, using the rule of product, the filling of those places can be done in:
[tex]9 \times 9 \times 9 = 9^3 = 729 \: \rm ways[/tex]
Thus, the total number of different three digit numbers that can be made using any of the digits 1,2,3,4,5,6,7,8,9 is 729 digits.
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What is the value of the expression when n = 3?
-2n(5+n-83n)
3.
Which expression is equivalent to -0.4(10.2x - 15 +2.2x)
a. -4.96x + 6
b. -4.96x - 6
C.-4.96x - 6.4
d. -4.96x + 6.4
Answer: -4.96x + 6
Step-by-step explanation:
In this problem, it wants you to multiply the -0.4 by the numbers in the parentheses. Don’t let the X confuse you. This is just a placeholder for an unknown number. So first you would multiply the -0.4 into the 10.2, And once you get your answer, just add the X to the end. Which is -4.08x. Then, you would do the same thing, multiply the -0.4 (the number outside of the parenthesis, only with the -15 now. Which gets you 6. Lastly, you take the -0.4 once more and multiply it by the 2.2x. Which gets you -0.88.
-0.4 (10.2x-15+2.2x)
= - 4.08x +6 -0.88x
Now that you have this problem, combined like terms. What are the like terms in this problem?
The -4.08x can be combined with the -0.88 which gets you -4.96. Bring the +6 down, and that gets you your answer of -4.96 +6.
-4.08x -0.88x +6
= -4.96x +6
This would be your final answer because nothing further can be done at this point.
hope this helps!
Kim and Steven went to dinner. Kim had a coupon for 25% discount off the price of all meals, not including tax and tip. If the original price of the meals was 75.00, what is the discount price, not including tax and tip.
Answer:
$56.25
Step-by-step explanation:
75%*75.00 = 56.25
The path from the whales to the sharks is parallel to the path from the penguins to the stingrays. What is the distance between the penguins and the stingrays? StartFraction 81 Over 7 EndFraction feet 28 feet 45 feet 63 feet.
The distance between the penguins and the stingrays which is parallel to the path from the whales to the sharks is 28 ft.
What is proportional segment between parallel lines?In two triangle in which the one side of the first triangle is parallel to the one side of the other triangle, two similar triangle formed.
Due to this similar triangle the segment formed by the parallel line are proportional segment.
The path from the whales to the sharks is parallel to the path from the penguins to the stingrays.
The map of the zoo is attached below.
The distance from whale to shark is 18 ft, and this side is parallel to the path from the penguins to the stingrays. Suppose the distance between the penguins and the stingrays is x meters.
Thus, in the given triangle, the ratio of these two sides will be equal to the ratio of their corresponding sides. Hence,
[tex]\dfrac{x}{18}=\dfrac{42}{27}\\x=\dfrac{42}{27}\times18\\x=28\rm\; ft[/tex]
Thus, the distance between the penguins and the stingrays which is parallel to the path from the whales to the sharks is 28 ft.
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Answer:
28
Step-by-step explanation:
Did on edge 2022
The temperature in some region of Alaska equals 13 F. Convert this temperature to Celsius
Answer:
10.5* Celsius
Step-by-step explanation:
Its easy to do, this is the right answer
HELP Two workers, if they were working together, could finish a certain job in 24 days. If one of the workers does the first half of the job and then the other one does the second half, the job will take them 50 days. How long would it take each worker to do the entire job by himself?
What is the slope of the line that passes through the points (9, 2) and (9,27)? write your answer in simplest form.
[tex]\textsf{The slope of a line passing through two}[/tex]
[tex]\sf{given \: points \:(x_1,y_1) \:and \:(x_2,y_2) \: is \:given \: by - }[/tex]
[tex]\green{ \underline { \boxed{ \sf{ Slope, =\frac{y_2-y_1}{x_2-x_1}}}}} [/tex]
Here,
[tex]\sf{x_1= 9}[/tex][tex]\sf{y_1=2}[/tex][tex]\sf{x_2=9}[/tex][tex]\sf{y_2= 27}[/tex]
Putting Values:-
[tex]\begin{gathered}\begin{gathered}\\\implies\quad \bf Slope =\frac{27-2}{9-9} \\\end{gathered} \end{gathered} [/tex]
[tex]\begin{gathered}\begin{gathered}\\\implies\quad \bf \frac{25}{0}\quad(not\: defined) \\\end{gathered} \end{gathered}[/tex]
>>The slope of the line that passes through the given points is not defined.
Note- We can conclude that if x-coordinate of the points through which line passes are same , then slope is always not defined .
What is the perimeter of a square with a side length of 7 cm?
A. 7 cm
B. 14 cm
C. 21 cm
D. 28 cm
Answer:
D. 28 cm
Step-by-step explanation:
P=4s
P=4(7)
P=28
Answer:
D. 28cm
Step-by-step explanation:
P = 4s
P = 4(7cm)
P = 28cm
=> D. 28cm
Donetta is investing $6000 in a stock fund that is offering a constant annual interest of 5%
johnny is making 30 sundaes with mint, chocolate, and vanilla ice cream. 3 5 of the sundaes are mint ice cream and 1 2 of the remaining sundaes are chocolate. The rest will be vanilla. How many sundaes will be vanilla?
I need help on this question
Answer:
ans: 4/729
Step-by-step explanation:
here,
-2 ^2 = 4
and
(3^3)^2 = 3^6 = 729
= 4/729
Derek and his friends drove from San Francisco to Lake Tahoe to go skiing. The average speed that they traveled during each leg of the trip is shown on the map. They drove 30 min in the city, 3 h on the highway, and 30 min up the mountain.
Write a piecewise function to represent the distance that Derek traveled during his four hour trip.
The piecewise function of the travel of the car is now described in detail:
[tex]x (t) = 30\cdot t,\,0 \le t < 0.5[/tex]
[tex]x(t) = 15 + 60\cdot (t-0.5)[/tex], [tex]0.5\le t < 3.5[/tex]
[tex]x(t) = 195 + 45\cdot (t-3.5)[/tex], [tex]3.5\le t \le 4[/tex]
How to build a piecewise function
A piecewise function is a group of functions working on certain intervals, which corresponds to three expressions in this case. Likewise, the car moves at constant speed and the resulting distance is equal to the sum of initial position ([tex]x_{o}[/tex]), in miles, and the product of speed (v), in miles per hour, and time (t), in hours.
Then, the piecewise function of the travel of the car is now described in detail:
[tex]x (t) = 30\cdot t,\,0 \le t < 0.5[/tex] (1)
[tex]x(t) = 15 + 60\cdot (t-0.5)[/tex], [tex]0.5\le t < 3.5[/tex] (2)
[tex]x(t) = 195 + 45\cdot (t-3.5)[/tex], [tex]3.5\le t \le 4[/tex] (3)
RemarkThe map with key information of velocities is missing. We proceed to show the required information:
City - 30 miles per hour
Highway - 60 miles per hour
Mountain - 45 miles per hour
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After eating at a restaurant, Mr. Jackson’s bill before tax is $42.50 The sales tax rate is 8%. Mr. Jackson decides to leave a 20% tip for the waiter based on the pre-tax amount. Part A. How much is the tax?
Answer:
$3.40
Step-by-step explanation:
Look at image above...
HELP ASAP PLEASE
NO LINKS
A computer was purchased at a sale at a discount of 15%. If $688.50 was paid for it,
and this price includes 8% sales tax, then what was the original price without tax or
discount?
Based on the discount rate and the sales tax, the original price of the computer was $750.
What was the original price?First find the price before tax. This can be found as:
= Computer price / (1 + tax)
= 688.50 / (1 + 8%)
= $637.50
Then find the price without the discount as:
= Price without tax / (1 - discount rate)
= 637.50 / (1 - 15%)
= $750
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PLS HELPpppppppppppp ;0
Answer:
reflection
Step-by-step explanation:
by examination
Answer:
A reflection off the x axis
Step-by-step explanation:
Hope this helps!!!
original price? The discount is 40% in the sale price is $18
Answer:
$10.8
Step-by-step explanation:
Multiply 18 to .4 to get 7.2. Then subtract the 40% discount from the sale price. 18-7.2 = $10.8
Write x2 y2 – 18x 8y 5 = 0 in standard form. group terms and move the constant to the other side of the equation. x2 – 18x y2 8y = –5 determine the values that need to be added to both sides of the equation. (–18 ÷ 2)2 = 81 and (8 ÷ 2)2 = 16 add the values to both sides of the equation. write each trinomial as a binomial squared, and simplify the right side. what is the standard form of the equation of a circle given by x2 y2 – 18x 8y 5 = 0? ( )² ( )² =
The equation of the circle x² + y² – 18x + 8y + 5 = 0 can be written as in the standard form is (x – 9)² + (y + 4)² = 92
What is a circle?It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
The equation of the circle is given below.
x² + y² – 18x + 8y + 5 = 0
Add and subtract 97, then we have
x² – 18x + y² + 8y + 97 – 97 + 5 = 0
x² – 18x + 81 + y² + 8y + 16 – 92 = 0
(x – 9)² + (y + 4)² = 92
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Solve:
[tex] \frac{6x + 1}{3} + 1 = \frac{x - 3}{6} [/tex]
→ Don't plagiarism
→ Perfect answer needed.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}☂[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: \dfrac{6x + 1}{3} + 1 = \dfrac{x - 3}{6} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{6x + 1}{3} - \dfrac{x - 3}{6} =- 1[/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{12x + 2 - x + 3}{6} =- 1[/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{11x + 5}{6} =- 1[/tex]
[tex]\qquad \sf \dashrightarrow \: {11x + 5}{} =- 6[/tex]
[tex]\qquad \sf \dashrightarrow \: 11x = -6 - 5[/tex]
[tex]\qquad \sf \dashrightarrow \: x = -1 [/tex]
Step-by-step explanation:
[tex] \frac{6x + 1}{3} + 1 = \frac{x - 3}{6} \\ \frac{6x + 1 + 3}{3} = \frac{x - 3}{6} \\ 6( 6x + 4) = 3(x - 3) \\ 36x + 24 = 3x - 9 \\ 36x - 3x = - 9 - 24 \\ 33x = - 33 \\ x = - 1[/tex]
What is the approximate
volume of this cylinder? (radius is 3 cm and the height is 12 cm)
a. 36 cm3
b. 339 cm3
c. 226 cm3 1
d. 324 cm3
Answer:
a.36 cm³
Step-by-step explanation:
Explanation:- because 3 ×12 =36 so ans is 36cm³..hope helps u
the ratio of 20 paise to Rupees 1 is option 1:5, 2:1 , 20:1, 2:3
Answer:
1:5
Step-by-step explanation:
divide by 20 on both sides, 5 : 1.
Can someone do this for me
Answer:
A - 10 feet
D - 5 seconds
Step-by-step explanation:
Insert 12 for r the radius and 1500 for V the volume.
12 = [tex]\sqrt{}\frac{3(1500)}{\pi h}[/tex]
Square both sides
144 = [tex]\frac{4500}{\pi h}[/tex]
Solve 144 = [tex]\frac{4500}{\pi h}[/tex]: h = [tex]\frac{125}{4\pi }[/tex]
h = [tex]\frac{125}{4\pi }[/tex] or 9.9 rounded to the nearest foot,
h = 10
t = [tex]\sqrt\frac{2(200)}{16}[/tex]
t = [tex]\sqrt\frac{400}{16} = 25[/tex]
t = [tex]\sqrt{5^{2} }[/tex]
t = 5
An employee receives a 2% raise once per year. If the employee's initial salary is $69,400.00, what will the employee's salary be after 17 years?
Please put in answers with no commas and round to 2 decimal places.
Step-by-step explanation:
first fine 2% of the initial salary since he is paid that every year
2/100×69400=2×694=1388
so for 17 years = 1388×17
=23596
whats 2 plus 2 i am in first grade
Answer:
4
Step-by-step explanation:
2+2=4
I hope this helps you!!
What is the longest line segment that can be drawn in a right rectangular prism that is 14 cm long, 11 cm wide, and 9 cm tall?
Answer:
the longest segment is between 14 and 9
Step-by-step explanation:
this is the best answer in my eyes
The length of the diagonal of the rectangular prism will be 19.95 centimeters.
What is the diagonal of the rectangular prism?A rectangle's longitudinal divides it into two equivalent right triangles. A rectangle's diagonal elements are all the same length. A rectangle is a rectangle whose diagonal elements bisect one another, cross at right angles, and are identical.
The length of the diagonal of the rectangular prism is given as,
D² = L² + W² + H²
The dimensions of the rectangular prism will be 14 cm long, 11 cm wide, and 9 cm tall.
The diagonal length is calculated as,
D² = 14² + 11² + 9²
D² = 196 + 121 + 81
D² = 398
D = 19.95 cm
The length of the diagonal of the rectangular prism will be 19.95 centimeters.
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The table shows the number of apples needed to make apple pies and applesauce sold at a farm
store. During a recent picking at the farm, 169 Granny Smith apples and 95 Red Delicious apples
were picked. Write and solve a system to determine how many apple pies and how many batches
of applesauce can be made if every apple is used. (Hint: read across each row to create your equations!)
# Needed # Needed Total
Type of Apple for 1 (Pie) for Sauce
Granny Smith 5
4
169
Red Delicious
3
2
95
Answer:
pie - 38
sauce - 37.5
Step-by-step explanation:
For the Red Delicious apples you keep subtracting 5 from the total (95) and adding 1 to both of the total numbers of pies and apple-sauce. For the Granny Smith apples you keep subtracting 9 from the total and adding 1 to both of the total numbers of pies and apple-sauce until you get to 7 then you subtract 5 and 1 to the total of pies then you only have 2 left and that is half of the appl-sauce.
The value of x from the equation is 21 pies and the value of y from the equation is 16 batches of apple sauces
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total number of apple pies be x
Let the number of batches of apple sauce be y
Now , the system of equations are
5x + 4y = 169 be equation (1)
3x + 2y = 95 be equation (2)
Multiply equation (2) by 2 , we get
6x + 4y = 190 be equation (3)
Subtracting equation (1) from equation (3) , we get
x = 190 - 169
x = 21
Substitute the value of x in equation (2) , we get
3x + 2y = 95
3 ( 21 ) + 2y = 95
63 + 2y = 95
Subtracting 63 on both sides of the equation , we get
2y = 32
Divide by 2 on both sides of the equation , we get
y = 16
Therefore , the value of x and y are 21 and 16 respectively
Hence , the number of apple pies and apple sauces are 21 and 16 respectively
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What is the value of x? (Please hurry)
Answer:
8 root 2 or 11.3
Step-by-step explanation:
square 16 and divide by two to find square of other sides. Then root it to find answer
Answer: 8 root 2 or 11.3
Step-by-step explanation:
square 16 and divide by two to find square of other sides. Then root it to find answer
Which expression is equivalent to 173. 1710 ?
A 173+10
th
(В
6 173-10
© 173.10
O
1710
Answer:
option C
Step-by-step explanation:
hope this help u
-2x + 22 < 18
It is an inequality
Answer:
Solving for x;
-2x + 22 < 18
Get rid of constants:
-22 -22
-2x < -4
Isolate x, by dividing by -2 from both sides since the inverse operation of multiplication is division, and remember when dividing or multiplying by negative integers, you flip the inequality symbol around:
÷-2 ÷-2
x > 2
Answer:
[tex]x > 2[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}\mathrm{Solution:}\:&\:x > 2\:\\ \:\mathrm{Interval\:Notation:}&\:\left(2,\:\infty \:\right)\end{bmatrix}[/tex]
Given:
-2x + 22 < 18
Solve:
[tex]\mathrm{Subtract\:}22\mathrm{\:from\:both\:sides}[/tex]
[tex]-2x+22-22 < 18-22[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-2x < -4[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}[/tex]
[tex]\left(-2x\right)\left(-1\right) > \left(-4\right)\left(-1\right)[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]2x > 4[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}2[/tex]
[tex]\frac{2x}{2} > \frac{4}{2}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x > 2[/tex]
~Lenvy~
What is the volume of this prism?
3 cm
3 cm
20 cm
13 cm
13 cm
6 cm
Answer:
720
Step-by-step explanation:
break the area into two shapes the triangle and the rectangle
then you good