Answer: 61
Step-by-step explanation:
Answer:
61
Step-by-step explanation:
Work your way from the outside and you'll get 61
find the width of radius r if the width w of the shaded region is 2cm and its area is 176cm^2, use 22/7 for pi (its a full circle)
The area of a shape is the amount of space it can occupy.
The value of r is 13
From the question (see attachment), we have:
[tex]\mathbf{A =176}[/tex] --- area of the shaded region
[tex]\mathbf{w = 2}[/tex] --- the width of the shaded region
The area of the complete circle would be:
[tex]\mathbf{A_1 =\pi (r + w)^2}[/tex]
The area of the small circle is:
[tex]\mathbf{A_2 =\pi r^2}[/tex]
So, the area of the shaded region is:
[tex]\mathbf{A = A_1 - A_2}[/tex]
Substitute known values
[tex]\mathbf{176 =\pi (r + w)^2 - \pi r^2 }[/tex]
Substitute 2 for w
[tex]\mathbf{176 =\pi (r + 2)^2 - \pi r^2 }[/tex]
Expand
[tex]\mathbf{176 =\pi (r^2 + 4r + 4) - \pi r^2 }[/tex]
Open brackets
[tex]\mathbf{176 =\pi r^2 + 4\pi r + 4\pi - \pi r^2 }[/tex]
Cancel out line terms
[tex]\mathbf{176 =4\pi r + 4\pi }[/tex]
Divide through by 4
[tex]\mathbf{44 =\pi r + \pi }[/tex]
Factor out pi
[tex]\mathbf{44 =\pi(r+ 1) }[/tex]
Divide through by pi
[tex]\mathbf{r + 1= \frac{44}{ \pi} }[/tex]
Substitute 22/7 for pi
[tex]\mathbf{r + 1= \frac{44}{ 22/7} }[/tex]
Using a calculator, we have
[tex]\mathbf{r + 1= 14}[/tex]
Solve for r
[tex]\mathbf{r= 14 -1}[/tex]
[tex]\mathbf{r= 13}[/tex]
Hence, the value of r is 13
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The sum of thirty and a number is equal to seventy less than a number times three
Answer:
30 +x = 3(y-70)
Step-by-step explanation:
need an answer asap!!
Answer:
C SAS
Step-by-step explanation:
I am to lazy to write the explanation but it's C if I am right if not i need hdlp
Answer:
its C
Step-by-step explanation:
I don't know how to explain it but i took a test and it had this answer
In how many ways can 5 people sit in 5 chairs if Frankie and johnny want to sit next to each other.
Answer:
24
Step-by-step explanation:
plz mark brainly
of johnny have 5 apples and gave 3 to sally how many would she have?
The the measure of the angle please help
Answer:
165 degrees
Step-by-step explanation:
there are 2 measures on the other side of the protractor, they are: 15 and 165.
the angle is wider than a 90 degree angle, so it can't be 15 degrees
what is (x-3)(3x-5) can you help
Hello!
Answer:
3x^2-14x+15
Step-by-step explanation:
Hope this helps!
325.623 rounded to nearest hundredth
Answer:
325.62
Step-by-step explanation:
Find the number in the hundredth place 2 and look one place to the right for the rounding digit 3. Round up if this number is greater than or equal to 5 and round down if it is less than 5 .
Let f(x) = 3x2–5, find f(-5).
A. 70
B. 71
C. 72
D.73
[tex]f(x) = 3x2 - 5[/tex]
If x=-5Solution:[tex]f( - 5) = 3( - 5)2 - 5 \\ = 3 \times - 5 \times 2 - 5 \\ = - 30 - 5 \\ = - 35[/tex]
Solved ✔︎english 2 hhhhheehllllllppp
Answer:
adds drama
Step-by-step explanation:
it talks about dramas
Answer:
a
Step-by-step explanation:
it adds drama
Again I need help thank you :)
PLS HELP
WILL MARK BRAINLIEST
Answer:
1) (0,6)
2)(0,2)
3) (0,-3)
4) (0,0)
Step-by-step explanation:
Your Welcome
ASAP!!!!Batman's age is 4 more than twice Robin's age when you add batman's age to Robin's age you get 58 how old is Batman and robin a.use x represent Robin's age write an equation that represents the situation b.solve the equation from part (a).show your work state your solution as a complete sentence.
Answer:
56is shjdns djdndjsndnskdvdjdnshdkd
A tree is currently
2
feet tall and grows
1.3
feet per year. Which inequality represents the time, in
x
years, when the tree will have a height of at least
20
feet?
The inequality expression for the number of years when tree will be atleast 20 feets tall is x ≥14
Current height = 2 Growth rate = 1.3 feets per yearThe height of the tree after x years can be represented as a linear equation thus :
Height = 2 + 1.3xNumber of years when the tree will be 20 feets tall :
20 = 2 + 1.3x 20 - 2 = 1.3x 1.3x = 18x = 13.84The tree would be atleast 20 feets tall in 14 years x this can be expressed thus
x ≥14Learn more : https://brainly.com/question/18109354
HELP!!! Complete the function for this graph.
The recipe calls for 223 cups sugar. If Brody is tripling the recipe, how much sugar will he need?
Answer:
669 cups of sugar
Step-by-step explanation:
223 x 3 = 669
What is the midpoint of a line with endpoints (6,5) and (14,7), (Your answer
should be an ordered pair)
Answer:
Midpoint = (10,6)
Step-by-step explanation:
Using Coordinates: X(6,5) and Y(14,7)
Using the midpoint formula: M = (X1 +Y1)/2, (X2 + Y2)/2
Midpoint of XY = (6 + 14) / 2, (5 + 7) / 2
Midpoint of XY = (20) / 2, (12) / 2
Therefore the midpoint of XY is (10,6)
I know it’s not 26 need help please
Answer:
x=11
Step-by-step explanation:
The angles are opposite interior angles and opposite interior angles are equal when the lines are parallel.
4x = 2x+22
Subtract 2x from each side
4x -2x = 2x+22-2x
2x = 22
Divide by 2
2x/2 =22/2
x = 11
Which number is larger, 2x10^-3 or 3x10^-2? Explain.
Answer:
3×10'-2 is larger
Step-by-step explanation:
2×10'-3=0.002
3×10'-2=0.03
Answer:
3x10^-2 is larger
Step-by-step explanation:
2x10^-3 = 0.002
beause 10^-3 = decimal place three place to the left
3x10^-2 = 0.03
beause 10^-2 = decimal place two place to the left
(5x-7y)-(2x+y) expression thats equivalent plzzzzzz help fast
Answer:
(3x-8y) is equivalent
Step-by-step explanation:
Answer:
[tex](5x - 7y) - (2x + y) \\ 5x - 7y - 2x - y \\ collecting \: like \: terms \: \\ 5x - 2x - 7y - y \\ 3x - 8y[/tex]
For Exercises 8 and 9, find the lengths of all three sides of the triangle.
9514 1404 393
Answer:
8. GH = 49; HJ = 35; JG = 35
9. KL = 26, LM = 26, MK = 20
Step-by-step explanation:
8. The sides opposite the marked angles are congruent.
JG = JH
3x +8 = 35
3x = 27 . . . . . . . subtract 8
x = 9 . . . . . . . divide by 3
We already know JG and JH, so we only need to find GH:
GH = 6x -5 = 6(9) -5 = 54 -5 = 49
Then the side lengths are ...
GH = 49, HJ = 35, JG = 35
__
9. This, too, is an isosceles triangle.
LK = LM
26 = 2y+8
18 = 2y . . . . . . . subtract 8
y = 9 . . . . . . . divide by 2
KM = 3(9) -7 = 27 -7 = 20
Then the side lengths are ...
KL = 26, LM = 26, MK = 20
What can divided 36 and 99
Step-by-step explanation:
GCF of 36 and 99 is the largest possible number that divides 36 and 99 exactly without any remainder. The factors of 36 and 99 are 1, 2, 3, 4, 6, 9, 12, 18, 36 and 1, 3, 9, 11, 33, 99 respectively.
I was going to just say the answer was 3 but the other person put multiple answers.So they have the correct answer.Good job!
Order these numbers from least to greatest . 9 2/5, 167/20, 8.406, 8.49
Answer: 0.04, 0.2, 1/2, 3/4, 5, 73
Step-by-step explanation:
The area of Ms. McCarthy’s garden measures 600 square feet. She plants vegetables in 75% of her garden and flowers in the remaining section. What is the area of the garden that Ms. McCarthy plants with flowers?
Answer
25
Step-by-step explanation:
100% - 75% = 25%
25/100 x 600 = 150 square feet
Write x > 6 in interval notation.
Answer:
x > 6 in interval notation is: (6, ∞)
NOTE:
Interval notation is a way to represent an interval as a set of numbers. The numbers are the endpoints of the interval.
-----
Build the interval notation for x:
Since you did not enter an equal sign, this translates to ( since we will not be including the number 6
Based on the > you entered, the right side of the interval notation will extend to positive infinity, which is denoted as +∞
(6,+∞)----- (answer)
Set Builder Notation for x:
{ x | x>6 } where | denotes such that
Display the literal representation for x
7,8,9,10,11,12,13,14,15,16,...,∞
Help! How to factorise= x²-5x+6?!!!!!!
Answer:
(x − 2)(x − 3)
Step-by-step explanation:
x² - 5x + 6
(x − 2)(x − 3)
Does the point (13, –5) lie on the line y = 8 – x? Show your workings.
Answer:
well is there a picture ? so i can see if it does or doesnt
Step-by-step explanation:
Find the L.C.M and H.C.F of: a. 432 and 486
Answer:
L.C.M of 432 and 486: 3888
H.C.F of 432 and 486: 54
Step-by-step explanation:
which shows the correct way to convert 5 oz to pounds?
Answer:
The second one.
Step-by-step explanation:
The Peyton family stayed in a hotel room for 5 nights while on vacation. The total cost before tax was $1,075. If the hotel room tax rate in the city is 14%, what was the total cost for the hotel room?
Answer:
1225.50
Step-by-step explanation:
14% of 1075 =0.14 x 1075=150.5
1075 +150.5 = 1225.5
The 14% of $1075 is $150.5 thus the total cost for the hotel room overall 5 nights including tax will be $1225.50.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
As per the given,
The total cost before tax was $1,075.
The tax rate is 14%
14% of $1075 will be,
(14/100)1075 = $150.5
Total cost includes tax = $1075 + $150.5 = $1225.50
Hence "The 14% of $1075 is $150.5 thus the total cost for the hotel room overall 5 nights including tax will be $1225.50".
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