Answers
Answer:
9.628 cm²
Step-by-step explanation:
Let A be the area of the sector OAB
Let a be the area of the sector OCD
The shaded area = A − a
[tex]\begin{aligned}A &=\frac{1}{12} (\pi \times 7^{2}) \\&=12.828 \ldots\end{aligned}[/tex]
[tex]\begin{aligned}a & = \frac{1}{12}\left(\pi \times 3.5^{2}\right) \\&=3.2 \ldots\end{aligned}[/tex]
The shaded area ≈ 12.828 - 3.2 ≈ 9.628 cm²
Related Questions
6. A pond has 150 fish, and the population
decreases by 8% each day. Find the
population after 4 days.
Answers
Explanation: 8% of 150 is 12. 12 x 4= 48. 48-150= 102
- You work in the human resources department of a
company. Per the employee benefits package, each
employee earns 1 and 1/2 vacation days per month. You
need to calculate the total number of vacation days
that an employee earns in a year. How many total
vacation days will an employee earn in a year?
Answers
Answer:
18 Days Off
Step-by-step explanation:
Firstly, to solve this question you have to identify how many months are in a year; that's 12. So now we know:
Each employee can take 1 1/2 days off in a monthThere are 12 months in a yearMaking a formula for calculation is the best way to do this, especially since we now have all of the information needed to answer.
VacationDays=1 [tex]\frac{1}{2}[/tex] × 12
Vacation days are the total number of vacation days in a year.
∴VD= 1 [tex]\frac{1}{2}[/tex] x 12
VD= 18
∴Total vacation days equal 18
Each employee gets 18 vacation days in a year.
im in nearpod
answer show wrk
Answers
Answer:15 boxes with 4 left over have a great day :)
Step-by-step explanation:
Randall wants to buy a pizza. He can select from 5 different sizes, 4 types of crust, and 12 toppings for his pizza. Which of the following shows how to find all the different possible choices of 1 size, 1 crust, and 1 pizza topping Randall can buy?
Answers
Answer:
What would you do when you okay so he said yes would go What would you do when you okay so he said yes would go What would you do when you okay so he said yes would What would you do when you okay so he said yes would goWhat would you do when you okay so he said yes would go
Scoopers ice cream shop sells one scoop of ice cream for $1.60. They sell three scoops for $4.80. How much money is needed to buy two scoops of ice cream?
Answers
Answer:
$3.20
Step-by-step explanation:
1.60 x 2 = $3.20
You need $3.20 to buy 2 scoops of ice cream.
Answer:
Step-by-step explanation:
Since the cost of one ice cream scoop is $1.60, you would either have to add $1.60 two times, or multiply 1.60x2.
$1.60+$1.60 or 1.60x2=$3.20.
Therefore, the answer to the question would be “$3.20 would be needed to buy two scoops of ice cream.”
If u = ❬6, –9❭ and v = ❬–24, 36❭ with an angle θ between the vectors, are u and v parallel or orthogonal? Explain.
The vectors are parallel because cos θ = −1.
The vectors are parallel because u • v = 0.
The vectors are orthogonal because u • v = 0.
The vectors are orthogonal because cos θ = −1.
Answers
The vectors u = ❬6, –9❭ and v = ❬–24, 36❭ are parallel to each other because the cosine of the angle θ is equal to -1. (Right choice: A)
How to determine the relationship between two vectors
By linear algebra we can use the definition of dot product to determine the relationship between two vectors, whose cases are described below:
Two vectors are orthogonal if and only if cos θ = 0.Two vectors are parallel if and only if cos θ = 1 or cos θ = -1.And the expression for the cosine of the angle between the two vectors is:
[tex]\cos \theta = \frac{\vec u \,\bullet\,\vec v}{\|\vec u\|\cdot \|\vec v\|}[/tex] (1)
Where [tex]\|\vec u\|[/tex] and [tex]\|\vec v\|[/tex] are the norms of the two vectors, which are determined by Pythagorean theorem.
Now we proceed to calculate the angle between the two vectors:
[tex]\cos \theta = \frac{(6)\cdot (-24)+(-9)\cdot (36)}{(3\sqrt{13})\cdot (12\sqrt{13})}[/tex]
cos θ = -1
Thus, the vectors u = ❬6, –9❭ and v = ❬–24, 36❭ are parallel to each other because the cosine of the angle θ is equal to -1. (Right choice: A)
To learn more on vectors, we kindly invite to check this verified question: https://brainly.com/question/13322477
When solving this equation for x, what would you do next?
Answers
Answer: A. Distribute the 3 outside of the parathesis to everything inside the parenthesis
We use the order of operations, also known as PEMDAS.
Since there is a variable inside the parenthesis, we cannot add/subtract 4. This means the next step is to distribute.
After distributing, the equation looks like this and we can solve it from there:
4x + 12 = 30
The hours students reported practicing their instruments last grading quarter were 29, 20, 36, 44, 30, 32, and 40. The mean hours students reported practicing their instruments is . The mean absolute deviation for the data is .
Answers
Answer:
The hours students reported practicing their instruments last grading quarter were 29, 20, 36, 44, 30, 32, and 40.
The mean hours students reported practicing their instruments is
✔ 33
.
The mean absolute deviation for the data is
✔ 6
.
Step-by-step explanation: answers.
Equation 1
y = 5x + 32
Equation 2
4y = 28x + 184
First solve for X.
Answers
Equation 2: x= 1/7y + -47/7
Do number 9 please.
Answers
Let's first understand the information the problem gives us
⇒ 6000 nails were done
⇒ 2% of the 6000 nails were faulty
⇒ 2% is equivalent to 2/100
⇒ therefore 2/100 of 6000 nails were faulty
⇒ 2 out of every 100 nails were faulty
⇒ written mathematically
[tex]Faulty-nails=\frac{2}{100}*6000 = 2 * 60 = 120[/tex]
Thus there were 120 faulty nails
Hope that helped!
pls simplify this will give brainly and a lot of points!!!!! 5:00min
Answers
Answer:
More details please ._.
Step-by-step explanation:
[tex] \frac{{b}^{4} }{ {a}^{2} {c}^{2} } [/tex]
explanation:
There's 4 as in the denominator which cancels out the 2 in the numerator. Thus leaving you with 2 as in the denominator. Then there's only 1 b I the denominator which is canceled out by the ones in the numerator, leaving you with only 4 b's in the numerator. Finally there is only 1 c in the numerator which is canceled out by the ones in the denominator. Thus leaving you with 2 c's in the denominator.
which function has the same y-intercept as the one below
Answers
Check the picture below, so let's check the equations below hmmm
[tex]\boxed{A}\\\\ y=\cfrac{16-3x}{4}\implies y=\cfrac{-3x+16}{4}\implies y = \cfrac{-3x}{4}+\cfrac{16}{4}\implies y=-\cfrac{3}{4}x\stackrel{\stackrel{b}{\downarrow }}{+4}~\hfill \bigotimes \\\\[-0.35em] ~\dotfill[/tex]
[tex]\boxed{D}\\\\ y+4=2x\implies y=2x\underset{\stackrel{\uparrow }{b}}{-4}\qquad \textit{\Large \checkmark}\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
Y=x+8
find the slope and the y-intercept of the line.
Answers
Slope: 1
y-intercept: 8
Solution:The given equation is written in slope-intercept form, which looks like so:y=mx+bIn the above formula, m stands for the slope, and b stands for the y-intercept.Notice that the slope is the coefficient of x (the number next to x) and b is the y-intercept.Therefore, the slope is equivalent to 1, and the y-intercept is equivalent to 8.Hope it helps.
Do comment if you have any query.
please help me asap....
Answers
1. Total Value of the Burgers
2. Cost of Fries per order
3. Quantity of the sodas ordered
4. Total Value of the Salad
5. Cost of Salad per order
Formula:
1._______________________________
2._______________________________
3._______________________________
4._______________________________
5._______________________________
Answer:
1._______________________________
2._______________________________
3._______________________________
4._______________________________
5._______________________________
Answers
Step-by-step explanation:
1) 35×23 = 805
2) 800/40=20
3)170/10=17
4) 2000-805-800-170=225
5)225/15=15
Hence answers
1)805
2)20
3)17
4)225
5)15
Find the center and radius of the circle represented by the equation below.
(x − 13)² + (y + 11)² = 361
-
Center:
Radius:
Answers
Answer: Center: (13, -11)
Radius: 19
Step-by-step explanation: yeah
please huryyyyyyyyyyyyyyyyyyyyyy!!!!!!!!!!
Answers
Answer:
(x-1)^2 + (y-1)^2 = 16
Step-by-step explanation:
center, (h,k) = (1,1) radius = 4
put in standard form for a circle
(x-h)^2 + ( y-k)^2 = r^2
For a football game. Adult tickets are 8 dollars and student tickets are 5 dollars. The school sells 2570 tickets and makes a total of $19,060.
how many adult ticket were sold
how many student tickets were sold
Answers
But,
$8(adults) + $5(students) = $19060
And,
Adults + Students = 2570
Let A = adults and S = students
8A + 5S = 19060
A + S = 2570
This is called a system of equations. To solve, you need to rearrange both equations to solve for one of the variables, you can pick any. This makes them cancel out so you can focus on 1 variable. After solving, you can plug the solved variable back into any of the given equations and solve for the second one.
S = 19060/5 - 8A/5
S = 3812 - (8A/5)
This is the first equation rearranged to solve for S
Second:
A + S = 2570
S = 2570 - A
Now, equal each other
3812 - (8A/5) = 2570 - A
Solve for A
3812 + A = 2570 + 8A/5
19060 + 5A = 12850 + 8A
19060 - 12850 = 3A
6210 = 3A
2070 = A
There were 2070 adults
Now, plug A back into any of the 2 equations and solve for S
A + S = 2570
2070 + S = 2570
S = 2570 - 2070
S = 500
2070 adult tickets were sold
500 student tickets were sold
The population of a city decreases by 3.9% per year. If this year's population is 200,000, what will next year's population be, to the nearest individual?
Answers
3.9 percent of 200,000 is 7,800
200,000-7,800=192,000
Evaluate 49x - 2 when x = 1
Answers
Answer:
47
Step-by-step explanation:
49x - 2
==> plug in x = 1
49(1) - 2
==> multiply 49 and 1
49 - 2
==> subtract 2 from 49
= 47
Answer:
47
Step-by-step explanation:
49x means 49×x
So substituting 1 into the equation gives us :
(49×1)-2
49-2
47
Therefore our answer is 47.
PLEASE HELP 50 POINTS + BRAILYEST!!!
(no links please)
The triangle is the picture down below.
Bonnie has a really yummy sandwich that is shaped like a right triangle. There is a 3 in. line, a 5 in. line, and there’s another line that is unknown. How would solve this problem by using the Pythagorean theorem to find the missing length of one of the lines? Be sure to show all of your work.
Answers
Answer:
4 inStep-by-step explanation:
Let the missing length is x.
According to Pythagorean, we have the following equation
[tex]x^2+3^2=5^2[/tex][tex]x^2+9=25[/tex][tex]x^2=25-9[/tex][tex]x^2=16[/tex][tex]x=\sqrt{16}[/tex][tex]x=4[/tex]Answer:
Missing length = 4 in
Step-by-step explanation:
Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Given:
a = 3 inb = ?c = 5 inSubstitute given values into the formula and solve for ?:
⇒ 3² + ?² = 5²
⇒ 9 + ?² = 25
⇒ ?² = 25 - 9
⇒ ?² = 16
⇒ ? = √16
⇒ ? = 4 in
The value of the expression
[tex] \frac{a - c}{2} - 2b[/tex]
if a=-5, b=3, c=-1
is equal to?
Answers
First you substitute the numbers into the equation
-5+1/2 -2x3
Then you type it into your calculator or solve using bodmas
halp please. MY c-ptsd is acting up and i cant be a emo baddie rn
Answers
Answer:
24 square units
Step-by-step explanation:
A square tile is decorated with dots and triangle patterns.
The tile is rotated into this new position.
Which tile sections should have a dot?
(sections have been numbered to help you identify them for your answer)
Answers
Answer
Who is your school?
Who is your class?
Who is the chapter
Mrs. Vance decided to buy dress shirts for her two sons. She bought her older son a blue shirt for $9.91, and she bought her younger son a white shirt for $9.68. How much did she spend in all
Answers
Hope the picture will help you
Answer: $19.59
Step-by-step explanation:
9.91 + 9.68 = 19.59
please show work 2. Which equation represents the line whose slope is 6 and whose y-intercept is 2?
A. y = 2x + 6
B. 2y + 6x = 0
C. y = 6x + 2
D. y + 2x = 6
Answers
We are given the line's slope and the line's y-intercept (the point where the line touches the y-axis)
It's easier to write the equation in Slope-Intercept Form, which looks like so:-
[tex]\boxed{y=mx+b}[/tex]
where m -> slope of the line & b -> y-intercept
Instead of m, you should plug in 6:-
y=6x+b
Instead of b, you should plug in 2:-
y=6x+2 ✓
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
What makes this undefined.
Answers
The expression is undefined when x=3 or -3
Solution:An expression is undefined when it's divided by 0.In order to make the denominator equal 0, we need to subtract 9-9. Notice that x is squared.So x times itself should equal 9. What number is it?That's right, 3.So we have9-(3)^2=9-9=0There's also another solution: x=-3 (-3•(-3)=9Hope it helps.
Do comment if you have any query.
Answer: The expression is undefined when x is 3 or -3
Step-by-step explanation:
The denominator of a fraction can never be 0 because you cannot divide by 0. So all we have to do is determine the value of x when the denominator is equal to 0.
[tex]9-x^{2} =0\\[/tex]
We want [tex]x^2[/tex] to be positive so divide everything by -1
[tex]9-x^{2} =0\\\\\frac{9-x^{2}}{-1}=\frac{0}{-1} \\-9+x^2=0\\x^2-9=0[/tex]
Use difference of two squares (DOTS) to factor
[tex]x^2+9=0\\(x+3)(x-3)=0[/tex]
So x cannot be 3 or -3
Bryan is trying to catch up with his friends during a road trip they are 100 miles ahead of him and driving 50 mph Bryan is driving 75 mph to try and catch up
Answers
4 hours
Explanation:
Bryan and his friends are both driving, so first you need to calculate the difference between the speed of him and his friends. They are 100 miles apart, and Bryan drives 25mph faster than his friends. Therefore, 100 (miles they are apart) / 25 (mph Bryan is faster than his friends) = 4 hours.
Work out the size of angle x.
Answers
Answer:
47
Step-by-step explanation:
because you know that a triangle is 180 degrees and you have the other two degrees, so all you have to do is add 90 (the little box in the corner means 90) +43=133 and subtract by 180 giving you 47 as your answer.
Answer:
Heya! ^^
let's first look at some terms that may help us understand the concept of the question better.
______________________________________
★ Angle sum property of triangle states that the sum of all the angles of a triangle equals 180°
______________________________________
now let's come over what the question says.
we've been given a right angled triangle with measure of one of its angle as 43°.
we've to calculate the measure of the third angle named " x "
therefore ,
[tex]by \: angle \: sum \: property \: of \: triangle \\ \\ 90\degree + 43\degree + x = 180\degree \\ \\ 133\degree + x = 180\degree \\ \\ x = 180\degree - 133\degree \\ \\ x = 47\degree[/tex]
thus the measure of x is 47°.
hope helpful :D
Find three rational numbers between - 2 and - 3
And please write in step by step explination.
Answers
Step-by-step explanation:
follow these steps with tbe no. of -2 and - 3 you will come with answer
Answer:
- 21/10, -5/2 and -11/4.
Step-by-step explanation:
Rational numbers can be written as a/b where a and b are integers ( b not zero).
So three naumbers between - 2 and -3 are
-2.1, -2.5 and -2.75 which can be written as:
- 21/10, -5/2 and -11/4.