Answer:
Area covered by wiper=area of arc(A0D)+area of traingleAOB+area of arc(BOC)
We know AO and OB are wipers,whose lengths are 1.5
In ∆ABC
AB^2+BC^2=AC^2
(1.5√3)^2+(1.5)^2=(AC)^2
2.25×3+2.25=(AC)^2
2.25×4=AC^2
AC=3
Also AO=1.5
similarly using Pythagoras theorem in ∆OBC
we get
OC=1.5
this shows that point O is the bisector of diagonal AC
so,AO=OC
also from property of rectangle we know that, diagonal bisects each other equally
so,O will also be the bisector of diagonal BD
hence OB=OD=1.5
AC=BD (property of triangle)
AC/2=BD/2
OB=OC,hence OB=OC=OD=OA=1.5=AD=BC
Hence OAD will be an equilateral triangle
so
angle OAD=60
similarly angleOBC=60
area of sector=angle of that sector ×area of circle/360
area of arc(AOD)+arc(BOC)=60/360 ×3.14 ×1.5×1.5 +60/360 ×3.14×1.5×1.5
=2×(60/360)×1.5×1.5
area of triangleAOB=area of rectangle/4 (diagonal divides the rectangle in 4 equal parts)
area of triangle=1.5×1.5√3/4
=>1.5×2.6/4=3.90/4
=0.975 or 0.98(approx)
Area covered by wiper=.98+2×60/360 ×3.14×1.5×1.5
=.98+0.75×3.14=2.35+0.97
=2.35+.98
Percentage of area of windshield covered by wiper=3.3×100/3.9=84.61
hence percentage of area of windshield covered by wiper is 85percent(approx)
plz mark brainlest
Any help please I appreciate it if u lend a helping hand plzzzzz
Marc wants to know if the mean age of the prison population in his city is less than 26 years. He obtains a random sample of 25 prisoners, and finds a mean age of 24.4 years and a standard deviation of 9.2 years. Ata significance level of 0.05, what is his conclusion?
Answer:
gsgsbsbsbs
Step-by-step explanation:
yewhsgshdhhssjbs
Which of the following shows the prime factorization of 72 using exponential notation?
The prime factorization of 72 using exponential notation is [tex]2^{3} *3^{2}[/tex].
It is required to find the prime factorization of 72.
What is a prime factorization ?Prime factorization of a number is breaking a number down into the set of prime numbers which multiply together to result in the original number. The fundamental theorem of arithmetic says that every positive integer has a unique prime factorization.
Given that:
The prime factorization for 72 is
=2×2×2×3×3 .
=[tex]2^{3} *3^{2}[/tex]
Hence, the prime factorization of 72 using exponential notation is [tex]2^{3} *3^{2}[/tex].
Learn more about prime factorization here:
https://brainly.com/question/20019518
#SPJ2
Carol had $497 in her bank account if $912 is withdrawn from it how much is new balance in her bank account
The anwser is -415
hope this helped!
Find the 12th term of the geometric sequence 4,8,16?
Step-by-step explanation:
From the question. The first term is a which is 4. The common ratio is 8/4 = 2. n is 12 since we are looking for the 12th term.
The solution is attached below. The answer is 8192
The 12th term of the geometric progression 4 , 8 , 16 .. is a₁₂ = 8192
What is Geometric Progression?
A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.
The nth term of a GP is aₙ = arⁿ⁻¹
The general form of a GP is a, ar, ar2, ar3 and so on
Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )
Given data ,
Let the geometric progression be represented as A
Now , the value of A is given by
A = 4 , 8 , 16 , ..
Now , the geometric progression is given by the formula
aₙ = arⁿ⁻¹
where aₙ is the nth term of the sequence
a is the first term
r is the common ratio
n is the number of terms
Now , the common ratio r can be found out by
Common ratio r = second term / first term
Substituting the values in the equation , we get
Common ratio r = 8 / 4
Common ratio r = 2
Now , substituting the value in the equation , we get
The 12th term of the geometric progression is
a₁₂ = arⁿ⁻¹
The value of a₁₂ = 4 ( 2 ) ¹²⁻¹
The value of a₁₂ = 4 ( 2 )¹¹
The value of a₁₂ = 4 x 2048
The value of a₁₂ = 8192
Therefore , the value of a₁₂ is 8192
Hence , The 12th term of the geometric progression 4 , 8 , 16 .. is a₁₂ = 8192
To learn more about geometric progression click :
https://brainly.com/question/1522572
#SPJ2
Find the number of possible outcomes for the subway. Five breads, 4 meats, 4 cheeses, toasted or not toasted *
Answer:
Whole Wheat bread, meatball marinara, toasted bread, lettuce, and parmesan
Step-by-step explanation:
There are 8 red marbles and 3 blue marbles in a bag. (a) What is the ratio of blue marbles to red marble 0 (b) What is the ratio of all marbles in the bag to blue marbles?
Answer:
a. 3/8
b. 11/3
Step-by-step explanation:
a. For this, we need to use a fraction to compare how many of each marble there are. 3 blue to 8 red. The ratio is 3 to 8 or 3/8
b. Now we have to compare how many all the marbles in the bag to just the blue marbles. All the marbles: 8+3=11, blue marbles: 3. So the ratio is 11 to 3 or 11/3
a) The ratio of blue marbles to red marbles: 3/8.
b) The ratio of all marbles to blue marbles: 11/3.
(a) To find the ratio of blue marbles to red marbles, divide the number of blue marbles by the number of red marbles.
Blue marbles: 3
Red marbles: 8
So, the ratio is 3/8
(b) To find the ratio of all marbles in the bag to blue marbles, divide the total number of marbles by the number of blue marbles.
Total marbles = 8 + 3
= 11
So, the ratio is 11/3.
Learn more about Ratio here:
https://brainly.com/question/32531170
#SPJ4
WDGWADgawYd awIdwaiudwaiudgaidgawida
start at -3.5 and then add to that 4.2. As if you were walking from -3.5 on the number line up 4.2 steps to the right. Where would you land?
Answer:
0.7
Step-by-step explanation:
Answer:
0.7
Step-by-step explanation:
One way to find the total cost of a jacket for $55 with a sales tax of 2%
Answer:
cost of jacket 55
sales tax 2/
55/ 2 percent × 100
2,750
I’ll give brainlest I don’t know the answer:/ someone help bruh
Answer:
(4,2)
Step-by-step explanation:
its where the point intersects which is (4,2)
Devon is trying to find the unit price on a 6-pack of drinks on sale for $2.99. His sister says that at that price, each drink would cost just over $2.00. Is she correct, and how do you know? If she is not, how would Devon’s sister find the correct unit price?
Answer:
Step-by-step explanation:
Devon's sister is incorrect.
Note 6 drinks thats cost $2.99
2.99 divided by 6 is $0.50
Thus each drink is approx. $0.50
She would find it if she divided total number of drinks by the total price
find the multiplicative inverse of -2 in mod 7
Answer:
So something mod 7 is -2Lets consider what mod does as a commands: If you have 7 and then mod it by 2 ie 7%2 you get 1 Essentially mod is seeing how many times a # goes into the other number and finding the remainder. In this case we want the remainder of 2: -8%3 =-2note there is also a mathematical procedural way to solve this.Rate positively and give brainlistSolve each inequality. I need help please.
Answer:
n [tex]\geq[/tex] -28
Step-by-step explanation:
Since you're dealing with negative numbers, flip the sign. Furthermore, to isolate n, divide 84 by -3 and you will get -28. Your answer therefore, is n [tex]\geq[/tex] -28.
Will give brainliest if correct!
If y + 1= 2015, for what positive integer w will 2y^2 + 2y = 2015w?
Answer:
w = 4028
Step-by-step explanation:
Solve for y
[tex]y+1 = 2015[/tex]
[tex]y=2014[/tex]
Substitute 2014 for y then solve for w
[tex]2\left(2014\right)^{2}+2\left(2014\right)=2015w[/tex]
[tex]w=\ \frac{\left(2\left(2014\right)^{2}+2\left(2014\right)\right)}{2015}[/tex]
[tex]w=4028[/tex]
Therefore, w must be 4028
What is this pls answer
Answer:4:24 I believe
Step-by-step explanation:
Answer:
4:25
Step-by-step explanation:
The little string stand for hour and the big string stands for the minutes
What is the quotient of 3 /7 +
4/8
using reciprocal express your answer in lowest term
Answer: 6/7
Step-by-step explanation: So 3/7 divided by 4/8. You can simplify 4/8 to 1/2. So then it would be 3/7 times 2/1. The answer would be 6/7
59 is the sum of 9 and raj’s score
Answer:
33
helpStep-by-step explanation:
Which of the following are proportional A.4/9=8/13 B.4/9=11/16 C.4/9=8/18 D.4/9= 9/9
Answer:
C. 4/9 = 8/18
Step-by-step explanation:
ez pls help i will give extra points
Answer:
25.4
Step-by-step explanation:
1/3 ( 2.55+.75) +3* 8.1
Using pemdas, parentheses first
1/3 ( 3.3) +3* 8.1
Then multiply
1.1 + 24.3
Then add
25.4
Carrie and nine of her friends go out to dinner. The total bill comes to $191.10. They decide to (I leave a 15% tip. Each person will contribute an equal amount to the total tip. Estimate what each person should contribute.
$19.00
$28.50
$1.90
$2.85
Answer:
$2.85 per person
Step-by-step explanation:
$191.10 * 0.15 = $28.665 tip
total tip divide by 10 people
$28.665/10 = $2.85
Each person has to contribute $2.85 amount for the tip.
Given,
Total no. of person go out for dinner = carrie + her nine friends
= 1+9 = 10
Amount of the bill is = $191.10
Amount of tip is = 15% of the bill
= [tex]\frac{15 }{100}[/tex] × $ 191.10
= 28.665
Total amount each person contribute an equal amount for tip is = [tex]\frac{28.665}{10}[/tex]
=$ 2.85
Each person contribute $2.85 amount for the tip.
For more information about ratio and proportion click the link given below.
https://brainly.com/question/25561616?referrer=searchResults
A company wants to hire the person who
types the most words per minute.
Liz types 648 words in 9 minutes.
Brad types 816 words in 12 minutes.
Who will get hired?
Answer:
Liz
Step-by-step explanation:
liz types more words per min.
Find the 12th term in the following arithmetic sequence
Write the slope-intercept form of the equation
Jordan hiked to the top of a mountain. He started the hike at 8:30 A.M. It took 2 hours and 15 minutes to get to the top of the mountain and 1 hour and 30 minutes to hike back down. What time was it when Jordan finished the hike?
Please help me fast!!!!
Answer:
12:15 PM
Step-by-step explanation:
Terri spent $4.75 on candy,
$1 on soda, and $8.20 on a
ticket. If Terri paid with a
$20 bill, how much money
did she have left
Answer:
Step-by-step explanation:
$4.75+1+$8.20= $13.95
$20.00 - $13.95 = $6.05
Answer:
$6.05
Step-by-step explanation:
candy - $4.75
soda - $1
ticket - $8.20
4.75 + 1 + 8.20
$13.95
bill - $20
20 - 13.95
$6.05
Ruben bought 666 comic books for \$21$21dollar sign, 21. Each comic book was the same price.
What was the cost for 111 comic book?
Answer:
$3.50 for 1 book
Step-by-step explanation:
$21/6 = $7/2 = $3.50
Answer: $3.50 for 1 book
What is the ratio of frosted cookies to non-frosted cookies?
Answer:
27:9
Step-by-step explanation:
According to Video Game Voters.org, 38% of all games sold in the U.S. would be purchased by women. Explain why is this a joint event?
Solution :
According to the question, as given by the Video Game Voters.org website, 38 percent of all the games that is sold in the United States would be purchased by the women.
Now this is considered as a joint event. This is because the above statement consists of two events.
1. Video games are sold in the United States.
2. Women purchased video games.
The above two events are working or happening at the same time. And 0.38 is the likelihood of the games to be sold in the U.S. and the games that is sold in U.S. are being purchased by the women.
urgent NEED DONE NOW PLEASE