Complete Question:
The slope between A and B is ⅗.The slope between points B and C is 6/10. Antoine says all three of these points are on the same line. What statement is true?
A) Antoine is correct because both slopes are equal to ⅗.
B) Antoine is incorrect because the slope of a line is always greater than 1.
C) Antoine is incorrect because the slope is the same between any two points on a line.
D) Antoine is correct because the slope is not the same between any two points on a line
Answer:
A) Antoine is correct because both slopes are equal to ⅗.
Step-by-step explanation:
We are given that:
Slope between A and B = ⅗
Slope between B and C = ⁶/10
If we reduce the fraction, ⁶/10 further, we would have: (2*3)/(2*5) = ³/5.
Therefore, slope between A and B, and slope between B and C would be the same = ⅗.
Since the slope are the same, it implies that all three points are in the same line.
Therefore, Antoine is correct.
please help ASAPPPPPPPPP
Answer:
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27 is 72% of what number?
Answer:
37.5
Step-by-step explanation:
37.5 · 0.72 = 27
Answer:
37.5
Step-by-step explanation:
72%=0.72
0.72x=27
x=27/0.72
x=37.5
Siân is saving for a car which costs 11 800 AUD. Find how many years it will take for the value of the investment to reach this value. Round to the nearest year.
Answer:
See explanation
Step-by-step explanation:
The question is incomplete as the invested amount and the interest rate are not given. However, I will give a general method of solving it.
Assume that:
[tex]r = 5\%[/tex] --- interest rate
[tex]PV =9000[/tex] --- Present value or invested amount
To calculate time (in years), we make use of the following formula of future value
[tex]FV = PV(1 + r)^n[/tex]
Where
[tex]FV = 11800[/tex]
So:
[tex]11800 = 9000( 1 + 5\%)^n[/tex]
Divide both sides by 9000
[tex]1.31 = ( 1 + 5\%)^n[/tex]
Take logarithm of both sides
[tex]Log(1.31) = Log(1 + 5\%)^n[/tex]
Apply law of logarithm
[tex]Log(1.31) = nLog(1 + 5\%)[/tex]
Make n the subject
[tex]n = \frac{Log(1.31)}{Log(1 + 5\%)}[/tex]
Express 5% as decimal
[tex]n = \frac{Log(1.31)}{Log(1 + 0.05)}[/tex]
[tex]n = \frac{Log(1.31)}{Log(1.05)}[/tex]
[tex]n = \frac{0.1173}{0.0212}[/tex]
[tex]n \approx 6[/tex]
The time to reach the future value is approximately 6 years.
Use the above explanation to answer your question
I will give brainliest please help me asap! Simplify the expression. Make sure you have all positive exponents.
Step-by-step explanation:
x^12
.....................................
The new cylinder can has radius of 5cm and a height of 9cm how many square centimeters of aluminum will it take to make this new cylinder can ?
Answer: [tex]282.85\ cm^2[/tex]
Step-by-step explanation:
Given
Radius of cylinder [tex]r=5\ cm[/tex]
The height of the cylinder is [tex]h=9\ cm[/tex]
The surface area of a cylinder is [tex]2\pi rh[/tex]
If only the outer is considered then, the area required is
[tex]\Rightarrow A=2\times \dfrac{22}{7}\times 5\times 9\\\\\Rightarrow A=282.85\ cm^2[/tex]
the diameter of the circle is 8 ft
what is the approximate area of the circle, in square feet? use 3.14 for π
Answer:
50.24
Step-by-step explanation:
r = d/2
r = 8/2
r = 4
Area of a Circle:
A = πr²
Work:
A = πr²
A = 3.14(4²)
A = 3.14(16)
A = 50.24
The approximate area of the circle is 50.24 square feet.
Given is a circle with diameter of 8 ft we need to find the approximate area of the circle.
To find the approximate area of a circle, you can use the formula:
Area = π × (radius)²
Given that the diameter of the circle is 8 ft, we can find the radius by dividing the diameter by 2:
Radius = Diameter / 2 = 8 ft / 2 = 4 ft
Now we can calculate the approximate area:
Area ≈ 3.14 × (4 ft)²
= 3.14 × 16 ft²
≈ 50.24 ft²
Therefore, the approximate area of the circle is 50.24 square feet.
Learn more about Area of circles click;
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Find the difference between the the actua
and the estimated values of 55-21
Answer: 34
Step-by-step explanation:
Insert 3 rational numbers between 1 /4 and 1/3 using mean method
Answer:
13/48, 7/24, and 15/48
Step-by-step explanation:
When we have two numbers A and B (such that A < B), the mean between these numbers is:
mean = (A + B)/2
And we will always have that:
A < mean < B
In this case, we have the numbers 1/4 and 1/3
The mean between these numbers is:
M = (1/4 + 1/3)/2 = (3/12 + 4/12)/2 = (7/12)/2 = 7/24
we know that 7/24 is an integer that is between the numbers 1/4 and 1/3
Now we can take the mean between 1/4 and 7/24
M = (1/4 + 7/24)/2
= (6/24 + 7/24)/2 = (13/24)/2 = 13/48
And we have:
1/4 < 13/48 < 7/24
Now we can find the mean between 7/24 and 1/3:
M = ( 7/24 + 1/3)/2 = (7/24 + 8/24)/2 = (15/24)/2 = 15/48
then:
7/24 < 15/48 < 1/3
Then we can write:
1/4 < 13/48 < 7/24 < 15/48 < 1/3
Then the 3 rational numbers between 1/4 and 1/3 are:
13/48, 7/24, and 15/48
(PLEASE HELP)
Given are the lengths of two sides of a triangle.Find the range of lengths for the third side.7 ft,13 ft
A.less than 6 but more than 20
B.more than 20 but less than 6
C.more than 6 but less than 20
Answer:
A.less than 6 but more than 20
Estimate the values to complete the table.
Answer:
Step-by-step explanation:
For angle C,
cos(∠C) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex] = 0.97
sin(∠C) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex] = 0.26
tan(∠C) = [tex]\frac{\text{Adjacent side}}{\text{Adjacent side}}[/tex] = 0.27
Therefore, from the triangle ABC,
cos(∠A) = cos(90° - ∠C)
= sin(∠C)
= 0.26
sin(∠A) = sin(90 - ∠A)
= cos(∠A)
= 0.97
tan(∠A) = [tex]\frac{\text{sinA}}{\text{cosA}}=\frac{0.97}{0.26}[/tex]
= 3.73
Angle [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex] [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex] [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
A 0.26 0.97 3.73
I need help with 5, find the area, thank you
Please help me i dont understand this
Answer:
209.3
Step-by-step explanation:
V=πr^2h / 3
= 3.14 x 25 x 8 /3
= 209.3
A.Supplementary
B.None
C.Complementary
D.Vertical
Answer:
A. the answer is supplementary
Estimate the perimeter of the figure to the nearest whole number. perimeter: about __ units
Answer:
16
Step-by-step explanation:
3+3+3+3+4=16
please help me
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Answer:
60+60+60= 180
Step-by-step explanation:
all the angles in a triangle should add up to 180
determine the sequence
HEEELLLP!!
how many times bigger is 24,137,569 than 83,521
and happy Easter
Answer:
24,05r,048
Step-by-step explanation:
i think alls you do is take away the big number from ligtoe number if so ypu would get 24,054,048
Answer:
24,137,569 is 289 times bigger than 83,521
Step-by-step explanation:
24,137,569/83,521= 289
Find the value of each trigonometric ratio
Answer:
value of sin A is 40/41
answer is A
Step-by-step explanation:
write 20.5×10^-5 in standard form. please help
Answer:
the answer is 2.05×10^-4
Which of these r-values represents the weakest correlation?
Answer:
-0.25
Step-by-step explanation:
Write the slope-intercept form of the equation of each line
1) x—6y=—13
2) 4x— 5y= 15
3) 3X— y=2
4)13x- 7y= 56
5) x-4y=-16
6) 9x-y=1
7) x+2y=-8
8) 10x + 3y =6
9) 7x - 8y=8
10) y= -5
Answer:
1.) y= [tex]\frac{1}{6} x[/tex] + [tex]\frac{13}{6}[/tex]
2.) y = [tex]\frac{4}{5} x[/tex] - 3
3.) y = 3x - 2
4.) y = [tex]\frac{13}{7} x[/tex] - 8
5.) y = [tex]\frac{1}{4} x[/tex] + 4
6.) y = 9x - 1
7.) y = -[tex]\frac{1}{2} x[/tex] - 4
8.) y = -[tex]\frac{10}{3} x[/tex] + 2
9.) y = [tex]\frac{7}{8}x[/tex] - 1
10.) y = -5
write an equation of the line in slope-intercept form of each line given slope and y intercept m=2;b2
Answer:
[tex]y = 2x + 2[/tex]
Step-by-step explanation:
Given
[tex]m = 2[/tex]
[tex]b = 2[/tex]
Required
Write equation in slope intercept form
An equation in slope intercept form is:
[tex]y = mx + b[/tex]
Substitute values for m and b
[tex]y = 2x + 2[/tex]
I want to know What is x=,y=,z=
Answer:
x=31 y=44 z=105
Step-by-step explanation:
Using the angle relationships, we know that 31 is equal to x, y is equal to 44 and z is equal to 105
Simplify fully 50y3/ 8xy2
Answer:
[tex]\frac{25y}{4x}[/tex]
Step-by-step explanation:
Answer:
Step-by-step explanation:
i did you go with me to my car to see what i is going on with my car i and brown is there anyway i is going out and i is there a few things to go out and get some money from there so we could get it done and green or something for you guys and brown is ok and zjoke
Determine which equation has the same solutions as the given equation.
x – 10k- 11=0
O A. (x-10)2 = 36
B. (x - 10)2 = 21
OC. (x - 5)2 = 21
OD. (x - 5)2 = 36
Answer:
D
Step-by-step explanation:
1.) Find and compare the population density for Arizona and New York. Round your answers to the nearest whole number.
State Population Land Area (square miles)
Arizona 6,828,065 113,594
New York 19,795,791 47,126
You need to explain your steps in detail.
Answer:
just round them at the end
Step-by-step explanation:
Arizona: 7,278,717
New York 8.419 milion
In 2015, Macon County had a population of 53,792. The population increases by 2.5% annually. Which function can be used to model the population t years after
2015?
Answer: The answer is B
Step-by-step explanation: I took the test.
what is 2+2=? adding letters for extra characters
Answer:
4
Step-by-step explanation:
Please i need help ASAP
What is the range?
Answer:
your range is -9 to positive 5
Step-by-step explanation:
range is how many numbers are in a squence for example i have 1 2 3 so my range is 1-3
NEED HELP please and thank you hehe
Answer:
113
Step-by-step explanation:
it's the x outside right?