Demonstrate your knowledge by giving clear, concise solutions to each problem. Be sure to include all relevant drawings and justify your answers (show all your work). You may show your solution in more than one way to investigate beyond the requirements of the problem. 1. Some important formulas are given below Area of a circle is A=πR^2 where r is the radius of the circle.
A)Write a formula for the area of the figure below. (5pts)
Answers
Answer:
A = 8a + [tex]\frac{1}{2}[/tex]πa²
Step-by-step explanation:
The figure consists of a rectangle and a semi- circle
area of rectangle = 4 × 2a = 8a
area of semi- circle = [tex]\frac{1}{2}[/tex]πr² ( r is the radius = a )
= [tex]\frac{1}{2}[/tex]πa²
Then area (A ) of figure is
A = 8a + [tex]\frac{1}{2}[/tex]πa² ← factor out [tex]\frac{1}{2}[/tex] a from each term
= [tex]\frac{1}{2}[/tex] a(16 + aπ)
Related Questions
What is the slope of the line that passes through the points (-2,-1) and (2, -3)?
Write your answer in simplest form.
-
Answers
find the equation of the line passing through (3,-6) with the gradient of -1/2
Answers
Answer:
2y+x+9=0
Step-by-step explanation:
eqn is given by
[tex]m = \frac{y - y1}{x - x1} [/tex]
given
[tex] - \frac{1}{2} \: as \: m[/tex]
and
[tex]{3 \: and \: - 6} \: as \: x \: and \: y \: respectively[/tex]
subtitute values into the formula
[tex] - \frac{1}{2} = \frac{y - - 6}{x - 3} [/tex]
cross multiply giving
[tex] - 1{x - 3}= 2{y + 6[/tex]
[tex] - x + 3 = 2y + 12 \\ 2y + 12 + x - 3 = 0 \\ 2y + x + 9 = 0[/tex]
What is -5/6 – (-5/6)?
Answers
Answer:
0
Step-by-step explanation:
-5/6 - (-5/6)
Negative times a negative is a possitive
-5/6 + 5/6
0
Hopes this answers your question. :)
Answer: 0
Step-by-step explanation:
-5/6 - -5/6 =
-5/6 + 5/6 =
-5 + 5
6
= 0/6
=0
[tex]3\frac{3}{4} +8\frac{3}{4}[/tex]
Answers
25/2
12 1/2
Hope this helped
Which point could be used to find f(2)?
Answers
point A will represent the input-output values of the function.
What is number line ?
Number line is virtual representation of numbers along with coordinates axis with number equally spaced with equal number of interval.
In the graph of y = f(x),
For every x-value (input value), value of the function is the y-value (output value).
For the input value x = 2,
Output value of the function will be,
y = f(2)
Therefore, point A will represent the input-output values of the function.
check and know more about function here :
https://brainly.com/question/12431044
#SPJ2
Yall i need help asap! please help me.
Answers
Refer the attachment please
Hope it helps
Best of luck
* THIS IS A WARM UP*
First level: Easy
What is −12 4/3 + −5 2/1? Write your answer as a mixed number in simplest terms.
Good luck middle schoolers or anyone
Answers
=》The answer is -61/3 = -20.333
Steps are in the attachment.
Note :-
=》The LCM is 3.
_______
Hope it helps ⚜ :))
2x+5=12 i don´t know what the value of x is
Answers
Answer: X = 7/2 or 3.5
plz help on this question;WORK OUT,1+2+3(1+2+3)
Answers
Answer:
21
Step-by-step explanation:
1) Simplify 1 + 2 to 3.
1 + 2 + 3 × ( 3 + 3 )
2) Simplify 3 + 3 to 6.
1 + 2 + 3 × 6
3) Simplify 3 × 6 to 18.
1 + 2 + 18
4) Simplify 1 + 2 to 3.
3 + 18
5) Simplify.
21
Determine whether these two ratios
form a proportion:
8/10 and 24/30
Answers
The proportion you’re looking for would be 2/5, it is the smallest possible fraction
The cost of videotaping a basketball tournament is modeled by the function f(x) = 20x + 350 where x represents the cost of each video. What is the rate of change for this scenario ?
Answers
Step-by-step explanation:
the factor of x : 20 or 20/1
that means with each additional videotaping (number of tapings goes up by +1) the cost goes up by +20.
Evaluate the formula t=
x−μ
s
n when μ=117, n=28, x=113, and
Answers
Work Shown:
[tex]t = \frac{\overline{x}-\mu}{\frac{s}{\sqrt{n}}}\\\\t = \frac{113-117}{\frac{11}{\sqrt{28}}}\\\\t \approx \frac{-4}{\frac{11}{5.291503}}\\\\t \approx \frac{-4}{2.078804}\\\\t \approx -1.924183\\\\t \approx -1.924\\\\[/tex]
In the intermediate steps, I rounded to 6 decimal places. The final answer is rounded to 3 decimal places (to the nearest thousandth).
Riley is saving up to buy a new television. She needs a total of $1,161.59. Riley has saved $200.39 already and earns $80.10 per week at her job. How many weeks does Riley need to work to save enough money to buy the new television?
Answers
Answer:
12 weeks
Step-by-step explanation:
I will use x to describe the amount of weeks.
200.39 (amount already have) + 80.10x (amount per week) = 1161.59 (total amount needed)
Now, just solve for x.
80.10x = 961.2
x = 12
What’s the remainder of 3,231 / 7
Answers
The bag of potato chips has 25% more in the new package. the original package had 14 ounces. how many ounces are in the new bags?
Answers
Answer:
17.5 Ounces
Step-by-step explanation:
14/100=.14 .14x25=3.5 14+3.5=17.5
HELP PLEASE DONT GIVE THE WRONG ANSWER
Answers
Answer:
120 minutes
Step-by-step explanation:
find the LCM
first find the GCF using prime factorization
15=3*5 12=2*2*3 10=2*5
GCF is 5 and 2 respectively
remove from each and multiply
3*2*2*2*5=120
Find the value of x
Answers
Answer:
11
Step-by-step explanation:
2x - 6 = 16 (Based on similarity)
2x = 16 + 6
2x = 22
x = 22/2
x = 11
Pls help me
On June 1, Mary had a balance of $50 in her bank account. During June she made the four transaction below.
Deposited $25.62
Withdrew $19.76
Wrote a check for $56.29
Paid a bank fee of $25
If there were no other transaction, what was the balance in Mary's account at the end of the month?
Answers
Answer:
The balance in Mary's account at the end of the month is $14.09
Step-by-step explanation:
Step 1: 50+25.62=75.62
Step 2: 75.62+19.76=95.38
Step 3: 95.38-56.29=39.09
Step 4: 39.09-25= $14.09
5/7 of a number is 55
work out the number.
please help with this question
Answers
Answer:
77
Step-by-step explanation:
Hope this helps..
Good luck.
typingthistogettothe20charactercap
Write the equation of the line from the graph.
Answers
Answer: x=-5
Step-by-step explanation:
Graph has no y intercept, thus has to be equal to x, and since its -5... x=-5 is your answer
Answer: X= -5
Step By-Step explantation:
A popular video game claims that the average time needed to reach level 10 Paladin is 3 hours with a standard deviation of 0. 4 hours. James thinks that he and his four friends are more skilled than the average gamer because it took them an average of only 2. 5 hours. Which of the following is the most restrictive level that would validate his claim? Upper-Tail Values a 5% 2. 5% 1% Critical z-values 1. 65 1. 96 2. 58 1% 2. 5% 5% 10%.
Answers
Answer:
1%
Step-by-step explanation:
0.4X2.5=1
solve, (you can use long division if needed) <3
Answers
Answer:
4.9 inches
Step-by-step explanation:
78.4 diveded by 4
19.6 divided by 4
=4.9
What is the correct equation to solve for X?
Answers
sin(45)=13/x
what do you guys think the answer is?
Answers
Explanation:
Because point A is the center of dilation, it will stay fixed. It never moves. Everything else around it will move. Specifically, every point but A will move inward closer to A.
To get from A to B, we move 9 spaces. The scale factor 1/2 means we'll move half that amount and 9/2 = 4.5 spaces will be between A' and B'. Relabel A' as point E, and change the name of B' to F.
To go from A to D, we do the following steps
move to the right 9 spacesmove up 6 spacesCut each of those values in half to get 9/2 = 4.5 and 6/2 = 3. The results 4.5 and 3 are the horizontal and vertical distances we must travel when going from A' to D'. We'll relabel point D' as point H.
To go from D to C, we move 3 spaces. This cuts in half (again because of the scale factor) to get 3/2 = 1.5 spaces which is the distance from D' to C', aka from H to G.
Everything is marked in the diagram below.
Solving Systems of Three equations
(please help i will make you brainliest!!!)
Answers
Answer:
2) x = -4; y = 0; z = -2
4) x = 4; y = 2; z = 0
Step-by-step explanation:
2)
-4x - 5y - z = 18
-2x - 5y - 2z = 12
-2x + 5y + 2z = 4
Add the 2nd and 3rd equations to eliminate y and z.
-4x = 16
x = -4
Substitute x = -4 in first and second equations.
(-4)(-4) - 5y - z = 18
(-2)(-4) - 5y - 2z = 12
-5y - z = 2
-5y - 2z = 4
Multiply first equation by -1 and add to second equation.
5y + z = -2
(+) -5y - 2z = 4
----------------------
-z = 2
z = -2
Substitute x = -4 and z = -2 in first original equation and solve for y.
-4(-4) - 5y - (-2) = 18
16 - 5y + 2 = 18
-5y = 0
y = 0
Answer: x = -4; y = 0; z = -2
4)
4x + 4y + z = 24
2x - 4y + z = 0
5x - 4y - 5z = 12
Add equations 1 and 3 to eliminate y.
9x - 4z = 36 Eq. 1
Add equations 1 and 2 to eliminate y.
6x + 2z = 24 Eq. 2
Multiply Eq. 2 by 2 and add to Eq. 1.
12x + 4z = 48
(+) 9x - 4z = 36
----------------------------
21x = 84
x = 4
Substitute x = 4 into Eq. 1 to solve for z.
9x - 4z = 36
9(4) - 4z = 36
-4z = 0
z = 0
Substitute x = 4 and z = 0 into the first original equation to solve for y.
4x + 4y + z = 24
4(4) + 4y + 0 = 24
4y = 8
y = 2
Answer: x = 4; y = 2; z = 0
I need a little help with trigonometric ratios. What is the ratio to find x? Please provide an explanation to get brainliest.
Answers
Answer:
tan 72 = 6/x
OR
cos 72 = x/15
Step-by-step explanation:
A good way to remember trig ratios is this
SOH CAH TOA -
sin = opp/hyp
cos = adj/hyp
tan = opp/adj
You can find x in a few different ways.
If you did tangent, it would be
tan 72 = 6/x (because tangent is opposite over adjacent)
Or, there's also the pythagorean theorem...
can someone please help me with this i have 2 questions so yeah..
1.Natalie and her friends decided to rent 4 lanes at regular cost for a party. Ten people need to rent shoes, and 4 people are members. What is the total cost for the party?
medium sodas cost $1.25 and hot dogs cost $2.50
2. Natalies group brought in pizzas, but is buying the drinks at the concession stand. How many medium sodas can Natalies group buy with $20? Make a table to show your answer.
Answers
Answer:
1. Hence, the answer is $74.50
2. Hence, the answer is 16.
Step-by-step explanation:
1. Given: Natalie and her friends decide to rent 4 lanes at regular cost for a party. Ten people need to rent shoes, adn 4 people are members.
To find: What is the total cost for the party?
Solution:
Since Natalie and her friends wanted to rent four lanes, we need to calculate this at REGULAR cost.
4 * 9 .75 = 39
Now since 10 people want to rent shoes, and 4 people are members, we subtract.
10 - 4 = 6
6 nonmembers
4 members
6 times the amount of shoe rental for 6 * 3.95 - 23.70
non members
4 times the number of members shoe rental 4* 2.95
11. 80
Now add the quantities
39 + 11.80 + 23.70 += 50.80 + 23.70 =
74.50
Now, our answer is 74.50
2.
Solution:
20 / 1.25 = 16
So the possible amount that can be bought is 16 medium sodas.
A. Wealth
B. Level of living
C. liquidity
D. Assets
Answers
Answer:
D: assets.
Step-by-step explanation:
Hi there- kinda confused on this
Answers
D) 5 is the answer
Assuming AE and CE are the same length you would set the two equations to each other: 8x+7=11x-8
Then solve for x:
Subtract 8x from both sides and add 8 to both sides looking like: 15=3x
Divide by 3 to get x by itself and you get x =5
a fair coin is flipped 10 times. what is the probability of getting the same number of heads and tails
Answers
If you flip a coin one time, the probability to get a Head is
p = 1/2
The probability of not getting a head in a single toss is :
q = 1 - 1/2 = 1/2
Thus there is only one unique situation to get the same number of heads and tails : in 10 toss you need to get exactly five heads, it will means that the rest is the tails.
Now using Binomial theorem of probability, the probability of getting exactly x = 5 heads in a total of n = 10 tosses is :
P(X = 5) = [tex]\frac{10!}{5!*5!} *(\frac{1}{2})^{5} *(\frac{1}{2})^{5}[/tex]≈ 0.246
So the probability of that is 24,6 %
Good Luck