For his phone service, Deshaun pays a monthly fee of $17, and he pays an additional $0.04 per minute of use. The least he has been charged in a month is $67.44.
A circular flower bed is 19m in diameter and has a circular sidewalk around it that is 3m wide. Find the area of the sidewalk in square meters. Use 3.14 for pi.
The area of the sidewalk ____ m².
Area of the circular sidewalk around flowerbed is 207.24 m² .
What is area?Area is the amount of space occupied by a two-dimensional shape. That is, it is a quantity that measures the number of unit squares that cover the surface of a closed figure. Standard area unit is square unit.
Given,
Diameter of flowerbed = 19m
radius = diameter/2 = 19/2 = 9.5 m
Area of flower bed A
= πr²
= 3.14(9.5)²
= 3.14(90.25)
= 283.385 m²
width of the sidewalk = 3m
radius of flower bed with sidewalk = 9.5 + 3 = 12.5m
Area of flower bed with sidewalk A'
= 3.14(12.5)²
= 3.14(156.25)
= 490.625 m²
Area of the sidewalk
= A' - A
= 490.625 - 283.385
= 207.24 m²
Hence, 207.24 m² is area of the circular sidewalk around flowerbed.
Learn more about area here:
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how do i solve this
it’s geometry
Answer:
x=5, y=11
Step-by-step explanation:
> sum of interior angles of a polygon is (n-2)·180°, where n-is the number of sides, so our rhombus has sum of angles =(4-2)·180° =360°
>we know that the opposite angles are congruent so ...
>we have the sum of interior angles is
108+108+7y-5+7y-5 = 360, combine like terms
14y +206 =360, subtract 206 from both sides
14y = 154, divide both sides by 14
y= 11
>the sides are congruent therefore
4x+17 = 8x-3 , subtract 4x, and add 3 from both sides
17+3 =8x-4x, combine like terms
20 = 4x , divide by 4 both sides
5 =x
129x-33=112
solve for x
Answer:
x =145/129
Step-by-step explanation:
129x-33=112
Add 33 to each side
129x-33+33=112+33
129x = 145
Divide each side by 129
129x/129 = 145/129
x =145/129
5. Evaluate the quadratic function f(x) = 5(x-3)(x-2) when x = 9
Answer:
Step-by-step explanation:
f(9)=5(9-3)(9-2)
=5*6*7
=210
Answer:
f(9) = 210
Step-by-step explanation:
In f(x) = 5(x-3)(x-2), replace each instance of x with 9:
f(9) = 5(9-3)(9-2), or:
=5(6)(7) = 210
find the value of x.
Answer:
139 degrees
Step-by-step explanation:
we only have a central angle here (angle at the center of the circle).
and that angle remains the same along these 2 lines all the way out to the circle arc (and beyond, wherever these 2 lines take us).
so, if there is nothing missing in this graph, then x is the same as the inner angle : 139 degrees
Find the surface area
Answer:
352 m
Step-by-step explanation:
The area of a trapeze is (the biggest base + the smallest base) × height / 2
The area from rectangles are side a × side b
Trapeze: (6+12)×4/2 = 36
Rectangles: 5 × 10 = 50
6 × 10 = 60
12 × 10 = 120
There are two trapeze andtwo rectangles with the samesize, so you double their area:
2×36 + 2 × 50 + 60 + 120 = 352 m
The cost of 2 pounds
of coffee is $0.
True or False
Answer:
false
Step-by-step explanation:
the graph shows that 2 pounds of coffee would be about $4
Answer:
false.
Step-by-step explanation:
because if you look 1 pounds is 2 dollars
Darius is studying the relationship between mathematics and art. He asks friends to each draw a "typical” rectangle. He measures the length and width in centimeters of each rectangle and plots the points on a graph, where x represents the width and y represents the length. The points representing the rectangles are (6.1, 12.0), (5.0, 8.1), (9.1, 15.2), (6.5, 10.2), (7.4, 11.3), and (10.9, 17.5). Which equation could Darius use to determine the length, in centimeters, of a "typical” rectangle for a given width in centimeters?
y = 0.605x + 0.004
y = 0.959x + 0.041
y = 1.518x + 0.995
y = 1.967x + 0.984
Answer:
its the 4th one
Step-by-step explanation:
Answer:
the answer is C y=1.518x+0.995
Step-by-step explanation:
What is the value of x^2/y^1 when x=10 and y=5?
Fill in the blanks below in order to justify whether or not the mapping shown represents a function
Answer:
not a function because -3 maps to two different values 5 and 6
Step-by-step explanation:
The product of x and 8 is not less than 16
Answer:
x ≥ 2
Step-by-step explanation:
The inequality would be: x * 8 ≥ 16
8x ≥ 16
x ≥ 16/8
x ≥ 2
Hope this helps!
Answer:
x*8 > 16
Step-by-step explanation:
product means multiplaction and x and 8 are being multiplied so x*8 and the answer is not less than or at least 16
There are 4.5 litres of milk in a pot. The chef stirs in 2.5 g of salt and 1.2 litres of water. How much liquid is in the pot?
Answer:
5.7 litres
Step-by-step explanation:
The salt is not a liquid so you do not need to add it in.
4.5 litres + 1.2 litres = 5.7 litres
PLSS HELP ME ITS WORTH 20 POINTS!!
Answer:
suplementary
Step-by-step explanation:
By the distributive law 3 ✖ 2 + 3 ✖ 4 =
1. 9 + 8
2. 9 ✖ 8
3. 3 + 8
4. 3 ✖ 6
Need this quick as hell 25 points
(1.9)2 standard form
Answer:
-4
Step-by-step explanation:
hope this helps
have a great day/night :)
Find the area of a parallelogram if a base and corresponding altitude have the indicated lengths.
Base 3 1/2 feet, altitude 3/4 feet.
Answer:
below
Step-by-step explanation:
base * height = area of a parallelogram
7/2 × 3/4
=21/8 feets
MATH HELP PLEASE ANSWER AND SHOW WORK ITS DUE SOON THANKS
Answer:
the area of the circle is the number of boxes in the box minus no .of boxes in circle....
hay claudia do u remember me
y = one-third (x + 2)
Answer:
Step-by-step explanation:
according to the question equation is
y=1/3*(x+2)
y=x+2/3
Solve the equation to find where the treste ground levelEnter your answers from least to greatest and round to the nearest The meets the ground at and
Answer:
The trestle meets ground level at 0.875 units and 9.125 units
Step-by-step explanation:
Poorly formatted question.
The given equation is:
[tex]y = -x^2 + 10x - 8[/tex]
Required
The point where the trestle gets to the ground level
To do this, we set [tex]y = 0[/tex]
So, we have:
[tex]-x^2 + 10x - 8 = 0[/tex]
Multiply through by -1
[tex]x^2 -10x + 8 = 0[/tex]
Solve using quadratic formula:
[tex]x= \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
Where:
[tex]a = 1; b =-10; c = 8[/tex]
So, we have:
[tex]x= \frac{-(-10) \± \sqrt{(-10)^2 - 4*1*8}}{2*1}[/tex]
[tex]x= \frac{-(-10) \± \sqrt{68}}{2*1}[/tex]
[tex]x= \frac{-(-10) \± 8.25}{2}[/tex]
[tex]x= \frac{10 \± 8.25}{2}[/tex]
Solve the fraction
[tex]x= 5 \± 4.125[/tex]
Split
[tex]x= 5 + 4.125\ or\ x= 5 - 4.125[/tex]
[tex]x= 9.125\ or\ x= 0.875[/tex]
What is the range of the function in this table?
х y
1 2
2 4
3 3
4 2
a. (1,2), (2,4), (3,3), (4,2)
b. (1,2)
c. {1,2,3,4}
d. {2,3,4}
Answer:
4 is the range of the function
Which type of graph would be best for showing the average yearly bonus amounts for employees in different departments of an IT company?
A. a bar graph
B. a circle graph
C. a histogram
D. a line graph
Answer:
I believe that a bar graph will help with that, because you can narrow the answers down to a bar graph and a line graph but a line graph will only show an increase and a decrease not an average, and a bar graph shows all three.
Step-by-step explanation:
I hope this helped let me know!
please help calculate
Step-by-step explanation:
the answer is in the above image
Help plsss!
find the area of the shaded region
find the perimeter of the trapezoid
Answer:
Perimeter you add up all the sides. If it is a horizontal or vertical line, you just write those values for the side lengths. For the slanted one, I would use pythagorean theorem to solve it.
Step-by-step explanation:
If we make a right triangle using vertical and horizontal lines. We will find that a = 6, and b = 12. Find the square root of the sum of a squared plus b squared. That will tell you C. Then add C to the other 3 sides and that will give you the perimeter.
In the diagram below,
Answer:
<H = 40
Step-by-step explanation:
Complementary angles add to 90 degrees
2x+10 + x+20 = 90
Combine like terms
3x+30 = 90
Subtract 30
3x+30 -30 = 90-30
3x = 60
Divide by 3
3x/3 = 60/3
x = 20
<H = x+20 = 20+20 = 40
help very easy 5th grade math im in rush please help im very tired
Answer:
D
Hope that this helps!
starts at +8 and move -3 . starts at -8 and move-3 . start at 0 and -3. starts at +4 and move -4.
Answer:
end -8 and move -3 . start at -8 and move -3
PLEASEE HELP I NEED ASAP TY SM
Answer:
51
Step-by-step explanation:
166-13=153
153/3=51
51
sorry if that didn't make sense, that is just how i solved it
3. Sam has a total of 22 quarters and nickels. The coins total value is $2.90. How many quarters and nickels does he have?
Answer:
22?
Step-by-step explanation:
