[tex] \underline{\underline{\sf{ \color{purple}{Given :} }}} [/tex]
Area of the semicircle = 77 cm²
⠀ ⠀⠀ ⠀ ⠀⠀ ⠀
[tex] \underline{\underline{\sf{ \color{purple}{To\:Find :} }}} [/tex]
Perimeter of the circle⠀ ⠀⠀ ⠀ ⠀⠀ ⠀
[tex]\underline{\underline{\sf{ \color{purple}{Solution :} }}}[/tex]
[tex]\underline{\tt{As\:we\:know\:that,}}[/tex]
[tex]\star\:{\boxed{\sf{\purple{Area \: of \: circle} = 2 \times Area \: of \: semicircle}}}[/tex]
[tex] : \: \implies \sf{Area \: of \: circle = 2 \times 77cm^{2} }[/tex]
[tex]: \: \implies \sf{Area \: of \: circle =154 \: {cm}^{2} }[/tex]
━━━━━━━━━━━━━━━━━━━━━
[tex]\underline{\tt{Now, \: we\:know\:that,}}[/tex]
[tex]\star\:{\boxed{\sf{\purple{Area \: of \: circle} = \pi r^{2}}}}[/tex]
[tex] : \: \implies \sf{ 154 = \dfrac{22}{7} \times {r}^{2} }[/tex]
[tex] : \: \implies \sf{ 7 \times 7 = {r}^{2} }[/tex]
[tex] : \: \implies \sf{ 49 = {r}^{2} }[/tex]
[tex] : \: \implies \sf{ {r}^{2} = 49 }[/tex]
[tex] : \: \implies \sf{ {r} = \sqrt{ 49} }[/tex]
[tex] : \: \implies \sf{ {r} = { 7 cm} } [/tex]
━━━━━━━━━━━━━━━━━━━━━
[tex]\underline{\tt{Now, \: we\:know\:that,}}[/tex]
[tex]\star\:{\boxed{\sf{\purple{Perimeter} = \pi r + 2r }}}[/tex]
[tex] : \: \implies \sf{ Perimeter = \dfrac{22}{7} \times 7 + 2 \times 7 }[/tex]
[tex] : \: \implies \sf{ Perimeter = 22 + 14 }[/tex]
[tex] : \: \implies \sf{ Perimeter = 36 }[/tex]
[tex]\sf \therefore \: perimeter \: of \: the \: circle \: is \: 36cm[/tex]
━━━━━━━━━━━━━━━━━━━━━
i need help on this guys and plz help
Explanation:
We know that whoever is selected, they are male. So we only focus on the "male" row. There are 4 males who like talking on the phone out of 22 males total. Divide the two values and reduce as much as possible.
4/22 = (2*2)/(2*11) = 2/11
Note a pair of '2's cancel.
Matching: Connect the correct statement with the corresponding picture. There are multiple correct statements per picture.
A) System is consistent and independent
B) System is consistent and dependent
C) System is inconsistent
D) Only one solution to system
E) Infinitely many solutions to system
F) No solutions to system
Answer:
Figure 1: A , D
Figure 2: B, E
Figure 3: C, F
Hope that helps!
A migrating bird flies 378 miles in 14 hours. How many miles does it fly in 3 hours?
Answer:
81 miles
Step-by-step explanation:
378/14=27
The unit rate is 27 miles per hour
27*3 = 81
Antonio baked 150 muffins. Of all the muffins he baked, 46% of them were blueberry. How many blueberry muffins did Antonio bake?
(NEEDS TO BE ANSWERED TODAY)
Answer:
69
Step-by-step explanation:
hope this helps :)
Answer:
69!
Step-by-step explanation:
Hope i helpedhave a nice day
U-Move-It charges $18 per hour, plus a fueling fee of $45 to rent a truck. Bobby needs to rent a truck and can spend no more than $145. What could the inequality expression look like for this word problem?
WILL GIVE BRAINLIEST
Answer:
[tex]x\leq 5[/tex]
Step-by-step explanation:
45+18x=145
18x=100
x<=5
So x is equal to or less than 5
Hope this helps plz hit the crown :D
A HARD DRIVE COST 225,plus 40 hours per hour
5+3w+3-w combine like terms to simplify
Answer:
8 + 2w
Step-by-step explanation:
⇒ Change all signs to addition (subtraction is the same as adding a negative):
5 + 3w + 3 + -w
⇒ Since the expression is now all addition, you can rearrange them in any order. So group the terms together by their type:
5 + 3 + 3w + -w
⇒ Simplify:
8 + 2w
Answer: 8 + 2w
Hope this helps! :)
please help and explain i’ll mark brainliest!! worth a lot of points too
Which expression is equivalent to
2(3g-4)-(8g + 3)?
1) -2g - 1
2) -2g - 5
3) -2g -7
4) -29 - 11
Answer:
4) -2g - 11
Step-by-step explanation:
2(3g-4)-(8g + 3) =
6g - 8 - 8g - 3 =
- 2g - 11
Based on the tables below when do these two functions intersect?
Answer:
(2, 3)
Step-by-step explanation:
Functions intersect when they reach the exact same point.
Answer:
they intersect at the point ( 2, 3 )
you can tell by going through both tables and seeing that this point is on both tables
Step-by-step explanation:
What is the solution of 6 = x-2/4?
Answer: x=13/2
Step-by-step explanation: hope this helps!
Rae-ko rides her bicycle 35 miles in 2.5 hours. What is her cycling speed in miles per hour?
Answer:
14
Step-by-step explanation:
35/2.5
Titus works at a hotel. Part of his job is to keep the complimentary pitcher of water at least half full and always with ice. When he starts his shift, the water level shows 8 gallons, or 128 cups of water. As the shift progresses, he records the level of the water every 10 minutes. After 2 hours, he uses a regression calculator to compute an equation for the decrease in water. His equation is W –0.414t + 129.549, where t is the number of minutes and W is the level of water. According to the equation, after about how many minutes would the water level be less than or equal to 64 cups?
150 minutes
160 minutes
170 minutes
180 minutes
Answer: b. 160
Step-by-step explanation: just took the test
There are 160 minutes would the water level be less than or equal to 64 cups.
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
Here, The equation we're given is,
W = -0.414t + 129.549,
which an be written as,
-0.414t + 129.549 = W.
Now, We are asked to find the amount of time it would take for the water level to be less than or equal to 64 cups.
Plugging this information in, we have:
-0.414t + 129.549 ≤ 64
To solve this, we first cancel 129.549 by subtracting from both sides:
-0.414t + 129.549 - 129.549 ≤ 64 - 129.549
-0.414t ≤ -65.549
Now divide both sides by -0.414:
-0.414t/-0.414 ≤ -65.549/-0.414
t ≥ 158.33
(When we multiply or divide both sides of an inequality by a negative number, we must flip the inequality symbol.)
t ≥ 160 minutes
Thus, There are 160 minutes would the water level be less than or equal to 64 cups.
Learn more about the inequality visit:
https://brainly.com/question/25944814
#SPJ7
2x + y = -3
What’s the solution?
Answer:
The slope is, -4.000/-2.000 which = 2.000
Step-by-step explanation:
Brain-List?
So I just need help.
Answer:
a = 100 + 45t
Step-by-step explanation:
$100 is a one time addition so it will be a constant
100
$15 is added three times a month, so $45 a month
t stands for months as shown in the question
100 + 15(3)t
100 + 45t
There are 10 seniors and 15 juniors in a gym class. What is the ratio of seniors to total students?
Answer:
for every 2 seniors there are 3 juniors or 2:3
The ratio of seniors to total students will be 2: 5.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
There are 10 seniors and 15 juniors in a gym class.
The total number of students will be given as,
Total students = 10 + 15
Total students = 25
Then the ratio of seniors to total students will be given as,
Ratio = Seniors / Total student
Ratio = 10 / 25
Ratio = 2 / 5
The ratio of seniors to total students will be 2: 5.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ2
what is 9 squared times 8 squared
Answer:
5184
Step-by-step explanation:
9 squared is 81 (9 x 9)
8 squared is 64 (8 x 8)
64 x 81 is 5184
Alex bought a television set for $900 and pay the sales tax of 8% how much did he pay for the television set
Answer:
$972
Step-by-step explanation:
900 * 0.08 = 72
900 + 72 = 972
Hope this helped, let me know if you need a better explanation!
am i right??? if not pls help
Answer:
Ya I think your right
Step-by-step explanation:
1. Pentagon MNPQR is shown on the coordinate grid. Pentagon MNPQR is dilated with
the origin as the center of dilation using the rule (x, y) - (x, y) to create pentagon
M'N'P'Q'R'. Which statement is true?
Answer:
B
Step-by-step explanation:
if its less than 1 it shrinks
The correct statement is; Pentagon M’N’P’Q’R is smaller than pentagon MNPQR because the scale factor is smaller than 1.
What is the scale factor?The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic.
If a polygon is dilated by a scale factor = k
Rule to be followed as;
(x, y) → (kx, ky)
Here, k = Scale factor
If 0 < k < 1, size of the image will be reduced.
Similarly, k > 1, size of the image will be enlarged.
We are given that Pentagon MNPQR is dilated with the origin as the center of dilation to form an image M'N'P'Q'R'.
Rule used for the transformation,
(x, y) → (1/4x, 1/4y)
Here, the scale factor through which MNPQR has been dilated is 1/4.
Since, scale factor is between zero and 1/4, size of M'N'P'Q'R' will be reduced.
Therefore, the size of pentagon M'N'P'Q'R' will be 1/4 smaller than pentagon MNPQR.
Option (2) is the answer.
Learn more about scale factors here :
https://brainly.com/question/8765466
#SPJ6
what is 12 + 4y = -4x
Answer:
ummmm
Step-by-step explanation:
u already answer ur own question tho?
The number of students who bring lunch is 45 fewer these the number of students who eat the school lunch. There are more than 485 students who bring lunch. Write an inequality to find the possible number of students,n, who eat the lunch
Answer:
83
Step-by-step explanation:
there is many ways to do it!! HOPE YOU ACE IT
The number of students, n that possibly eat lunch at school, n = 531 or more students.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that the number of students who bring lunch is 45 fewer these the number of students who eat the school lunch. There are more than 485 students who bring lunch.
The number of students who bring lunch, is;
B > 485 students
The number of student who eat lunch in school, E = B + 45
Thus, E > 485 + 45
The number of student that possibly eat lunch in school, E > 530 students.
The number of students, n that possibly eat lunch at school, n = 531 or more students.
To know more about an expression follow;
brainly.com/question/19876186
#SPJ5
[tex]8 + y = x[/tex]
Please Help With all 3! Will Give 100 Points + Brainliest!
Answer: I don't see anything. Maybe upload some images?
Step-by-step explanation:
A man bought a calf for $200 and sold it for
$250. What was his gain as a percentage of the
cost price?
Answer:
Step-by-step explanation:
250 is 125% of 200
So,
He gained 25% in profit
Based on the information given his gain as a percentage of the cost price is 25%.
Using this formula
Cost price percentage=Selling price-Cost price/Cost price
Where:
Selling price=$250
Cost price=$200
Let plug in the formula
Cost price percentage=$250-$200/$200
Cost price percentage=$50/200
Cost price percentage=0.25×100
Cost price percentage=25%
Inconclusion his gain as a percentage of the cost price is 25%.
Learn more here:https://brainly.com/question/18522227
In the figure, XU=−4y+ 20 and XW=6y+ 10. Find the radius of the inscribed circle of △RST.
Answer:
16
Step-by-step explanation:
Answer:
Step-by-step explanation:
Did u find it
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP SHOW YOUR WORKKKKKKKKKKK PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ
Solve the inequality below.
Answer:
6.8
Step-by-step explanation:
In order to do this equation you must find out what -6/5u+8 is which has to equal greater than -10.
-6/5 as a decimal is -1.2
-1.2+8= 6.8
So it is 6.8>-10
__Na2O + __ H2O → __NaOH
Answer:
Na20+H20 -> 2NaOH
Step-by-step explanation:
YOU GET 60 POINTS!! Ronald rents a car from Cheap Rent-a-Car for $25 plus $0.05 per mile. Dixon rents a car from Great Cars for $40 plus $0.03 per mile. How many miles must they both drive for their rental fees to be the same?
Answer:
750 miles
Step-by-step explanation:
25+0.05x=40+0.03x
0.02x=15
x=750
If -
12V1 + 36 =
0, what is the value of x?
O A 6
OB. 67
OC. 63
D. 64