Answer : One of the most common real-life examples of the area of a sector is a slice of a pizza. The shape of slices of a circular pizza is like a sector. A pizza of 7 inches radius is sectioned into 6 equal slices as shown in the below figure. Each slice is a sector.
Step-by-step explanation:
Brayden purchased a new car in 1995 for $ 20 , 000 $20,000. The value of the car has been depreciating exponentially at a constant rate. If the value of the car was $ 6 , 800 $6,800 in the year 2000, then what would be the predicted value of the car in the year 2006, to the nearest dollar?
Answer:
$1863
Step-by-step explanation:
The model for exponential decay (depreciation) is [tex]y=y_0e^{-rt}[/tex].
r is the depreciation rate (which can be found first)
t is the time since the initial purchase
y is the value of the car at time t
[tex]y_0[/tex] is the initial purchase price (t = 0)
Year 0 is 1995.
2000 is year 5.
So, [tex]6800=20000e^{-r\cdot5}\\\\\frac{6800}{20000}=e^{-5r}\\[/tex]
To solve for r take the logarithm of both sides.
[tex]-5r=\ln\left({\frac{6800}{20000}\right)\\\\r=-\frac{1}{5}\ln\left({\frac{6800}{20000}\right) \approx 0.215762[/tex]
Now find the value of the car in 2006, which is year t = 11.
[tex]y=20000e^{-0.215762\cdot11} \approx 1863[/tex]
The ratio of the heights of two similar cylinders is 1:3. If the volume of the smaller cylinder is 67cm^3, find the volume of the larger cylinder. (Create two proportions, set them equal to each other and solve for x)
Answer:
1809 cm³Step-by-step explanation:
Given the scale factor:
k = h/H = 1/3Since the cylinders are similar, the other dimensions should have same scale factor of 1/3.
The volumes are:
v = 67 cm³V = xRatio of volumes is the cube of the scale factor, as the volume is the product of 3 dimensions:
v/x = k³67/x = (1/3)³x = 67*27x = 1809 cm³36 POINTS! PLEASE HELP!!!! PLS-
Use ⊙N with KL≅JM.
What is JM?
a) 17
b) 30
C) 15
d) 8
Answer:
you correct answer should be 17
A rectangular garden is 16 feet by 30 feet. Vivian wants to build a fence along the diagonal of the garden. How long does the fence need to be?
Answer:https://youtu.be/QZ_a8VXhiSc?t=187
Step-by-step explanation:https://youtu.be/BX0K5IfPMOA?t=144
Twenty boxes of paper weights 460 pounds. What is the ratio of boxes to pounds?
Answer:
1:23
Step-by-step explanation:
20 / 460
= 1 / 23
= 1:23
Which part of this graph shows a linear relationship?
Answer:
It would be D
Step-by-step explanation:
area of triangle with
width= 18cm
breadth=14cm
height=11cm
Answer:
99
Step-by-step explanation:
i have all the steps in the comments of ur question
Which equation represents the graph ?
Answer:
The equation of the line is;
y + 4 = 3(x + 4)
Step-by-step explanation:
The general equation of a line is;
y = mx + b
where m is the slope and b is the y-intercept
To get the equation, let us look at the given intercepts
We have the intercepts at the point (0,5) and (-2,-1)
We have the slope of the line as follows;
m = (y2-y1)/(x2-x1) = (-1-5)/(-2-0) = -6/-2 = 3
So we have the equation as;
y = 3x + b
recall, we have the y-intercept as 5
so the complete equation is;
y = 3x + 5
Now, we can rewrite this as;
y+ 4 = 3(x + 3)
What is the area of this triangle?
Answer:
1/2bxh (half a base times the height)
Step-by-step explanation:
Answer:
[tex]8[/tex]
Step-by-step explanation:
[tex]\frac{bh}{2}=A\\\\\frac{4\times4}{2}=A\\\\\frac{16}{2}=A\\\\8=A\\\\A=8[/tex]
John can play 12 songs on the guitar and he
learns 1 new song each week. Aiden can play 4 songs.
but he learns 2 each week. How many weeks (w) will it
be before Aiden knows as many songs as John?
Answer:
8 weeks
Step-by-step explanation:
Let
w = number of weeks
John = 12 + w
Aiden = 4 + 2w
How many weeks (w) will it be before Aiden knows as many songs as John?
Equate both John and Aiden expression
John = Aiden
12 + w = 4 + 2w
Collect like terms
12 - 4 = 2w - w
8 = w
w = 8 weeks
It will take 8 weeks before Aiden knows as many songs as John
Find the difference:
5 2
7 7
Answer:
3
0
Step-by-step explanation:
Difference means subtraction
5-2 =3..
7-7=0
WILL GIVE BRAINLIEST!!
Hazeline Allen's mortgage loan amount is $87.750. She financed her house
for 30 years with monthly payments of $725. At the end of 30 years, what
will be the total amount Hazeline will pay for the house? *
a $116,115
b $152,725
c $173,250
d $261,000
Answer:
Letter C
Step-by-step explanation:
trust me its right!
Jordan and 4 of his friends are are riding in a car. What is the probability that Jordan is in the front passenger seat?
Answer:
0.20 or 20%
Step-by-step explanation:
We already know that (assuming we aren't counting a car that has seats in the truck area) there are five possible spots to sit in: the driver's seat, the front passenger (famously known as "shotgun"), middle/back left passenger, middle/back right passenger, and middle/back middle passenger.
By dividing 1 from 5 (1/5) you get a 20% chance of sitting in shotgun.
So, not that high, but its better than nothing.
Hope this helped!
Source(s) used: G*ogle Calculator
Answer:
20%
Step-by-step explanation:
If you were to 'unroll' the cylinder you would find the the side is actually a rectangle when flattened out.
Step-by-step explanation:
true
and the top and bottom are just circles
The statement is true whenever the cylinder is unrolled the result will be the rectangle.
What is a cylinder?The Cylinder is a solid geometry with right straight sides and has a circular cross-section.
If we unroll the cylinder we will get a rectangular shape. having four sides two opposite sides are parallel and equal to each other.
Hence the statement is true whenever the cylinder is unrolled the result will be the rectangle.
To know more about cylinders follow
https://brainly.com/question/23935577
#SPJ2
DUE AT 12 SO LIKE HURRY
Arthur's brother wants to borrow some money. Arthur decided to lend him $1000 at 2% simple interest. If the loan will cost his brother $50, how much time does he have before he has to pay Arthur back. (See Example 2 in your notes.)
a
2 years
b
2.5 years
c
3 years
d
3.5 years
Answer:
2.5
Step-by-step explanation:
Answer: b. 2.5 years
Step-by-step explanation:
The formula for Interest is:
= principal × rate × time
Then, we slot in the values given which will be:
Interest = principal × rate × time
50 = 1000 × 2% × Time
50 = 1000 × 0.02 × Time
50 = 20 × Time
Time = 50/20
Time = 2.5 years
He has 2.5 years to pay back
please answer question 5 on the picture tysm xx
I think it's easier to not factor it, so we will be using formulas.
-b/2a=x
6/2=3=x
y=-25
(3,-25)
Tony bought 48 roses for $24. How much do 24 roses cost?
Answer:
$12.
Step-by-step explanation:
48 divided by $12 = $12.
Please mark brainiest thank you
HELP ME PLEASE! I need to find the Interquartile range of : 0,0,0,1,1,3,3,3,4,4,4,6,6,7,7,7,8,8,9,10
Answer:
The interquartile range is 5
PLSSSSSSSSS HELP MEEEEEEEEEEEEEEEEEEEEEEEE
Input each points. (x,y) for each equation to find out if the system of equations are equivalent.
Point (-3,4) is a solution of this system of equations.
Point (-2,-6) isn't a solution of this system of equations.
Point (-4,3) is a solution of this system of equations.
A) Work out the size of angle x. B) Give reasons for your answer.
Answer:
X=105
reason beng corresponding angle
Answer:
75
Step-by-step explanation:
A pasture with horses and goats has a width
of 1/4 mile. The length of the pasture is
represented by x + 8 . Which pair of expressions
represents the area of the pasture and uses the
distributive property to show equivalence?
Answer:
x=-31/4
Step-by-step explanation:
1/4 =x+8
Step 1: Flip the equation.
x+8=
1
4
Step 2: Subtract 8 from both sides.
x+8−8=
1
4
−8
You have 160 songs on your playlist. The probability of randomly choosing a rock song is 30%. How many of the songs on your playlist are not rock songs?
A. 48
B. 112
C. 30%
Answer:
Hello! Answer: B
Step-by-step explanation:
Because 112 is 70% of 160
The answer is A. 48
looked it up.
Awnser question and show your work if you can (i will give brainliest
Answer:
answer is -1.75
Step-by-step explanation:
[tex]y = 12 \\ y = - 4x + 5 \\ \\ \: \: \: \: 12 = - 4x + 5 \\ - 5 \: \: \: \: \: \: \: \: \: \: \: - 5 \\ \\ 7 = - 4x \\ \div - 4 \: \: \: \: on \: both \: sides \\ \\ - 1.75 = x[/tex]
please help me graph the equations y=3x and 6x+2y=12
also please tell me the coordinates
Answer:
The coordinates are x=1 y=3
Step-by-step explanation:
How many numbers are from k to n? (Including k and n.)
*Do not give me a wrong answer, as you may be blocked. Only answer if you know it!
Answer:
n - k + 1
Step-by-step explanation:
This is assuming (because you did not say) that n and k are integers and n is greater than k.
Example: from 2 to 5 {2, 3, 4, 5} includes 5 - 2 + 1 = 4 numbers.
Example: from -6 to 4 includes 4 - (-6) + 1 = 11 numbers, namely {-6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4}
Heres just another one and my answer was 417.45 and says I’m wrong I’m I missing something?
Answer:
805.05333.....
Step-by-step explanation:
To find the volume of a pyramid you need to multiply the bases length, width, height , and [tex]\frac{1}{3}[/tex]
but since 20.7 is not the height then you would need to find it
So imagen a line down the very middle of the pyramid
and connect that with the 20.7in line then connect it again and that makes a triangle.
So there is a formula and it is a²+b²=c²
in this problem a is the missing height b is 11/2 which is 5.5 and c is 20.7
a²+5.5²=20.7² ---> 428.49-30.25=a² --->398.24=a² --->19.955951.....=a
11 x 11 x 19.960 x [tex]\frac{1}{3}[/tex] = 805.05333.....
Answer:
volume = 805.05 in³
Step-by-step explanation:
Here's my calculations.
first, finding the true height (not the slope length):
using the Pythagorean theorem:
height² = 20.7² - 5.5² = 428.49 - 30.25 = 398.24
height = √398.24 = 19.96 in
base = 11 x 11 = 121
volume = 1/3bh = 1/3(121)(19.96) = 805.05 in³
Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. After 5 hours of burning, a candle has a height of 21.5 centimeters. After 21 hours of burning, its height is 16.7 centimeters. What is the height of the candle after 15 hours?
Answer:
The height is 18.5cm
Step-by-step explanation:
Given
Let
[tex]y =height[/tex]
[tex]x = time[/tex]
So, we have:
[tex](x_1,y_1) = (5,21.5)[/tex]
[tex](x_2,y_2) = (21,16.7)[/tex]
Required
The height after 15 hours
First, calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
This gives:
[tex]m = \frac{16.7-21.5}{21-5}[/tex]
[tex]m = \frac{-4.8}{16}[/tex]
[tex]m = -0.3[/tex]
The linear equation is then calculated as:
[tex]y =m(x - x_1) + y_1[/tex]
Where
[tex]m = -0.3[/tex]
[tex](x_1,y_1) = (5,21.5)[/tex]
This gives:
[tex]y =-0.3(x - 5) + 21.5[/tex]
Open bracket
[tex]y =-0.3x + 1.5 + 21.5[/tex]
[tex]y =-0.3x + 23[/tex]
After 15 hours
[tex]x = 15[/tex]
[tex]y =-0.3*15 + 23[/tex]
[tex]y =-4.5 + 23[/tex]
[tex]y =18.5[/tex]
The height is 18.5cm
Uhhh what?
A. 120
B. 30
C. 90
D. 45
Jillian is given $15 to buy snacks and drinks. If Jillian spends 2/3 of her money on snacks and the rest on drinks, how much money does she spend on drinks, in dollars?
Answer:
$5
Step-by-step explanation:
The amount of money spent on snacks is
2/3 × $15= $10
15-10= 5
=$5
or
1/3 ×15
= 5
What is the missing number 30 ÷ 10 = 30 · ?
Please helpppppp
Answer:
hi
Step-by-step explanation:
i think it is 1/10
hope it helps
have a nice day