Answer:
25[tex]\pi\ m^2[/tex]
Step-by-step explanation:
Given that:
A large circle in the park has its middle part painted.
The circle is divided in 4 equal parts.
Radius of the circle = 10 meters
To find:
Area of each section of the circle, [tex]A[/tex] = ?
Solution:
Here, we need to find the area of the bigger circle first and then need to divide it into 4 equal parts to find out the answer.
First of all, let us have a look at the formula for area of a circle with given radius [tex]r[/tex]:
[tex]Area = \pi r^2[/tex]
Here, [tex]r = 10 m[/tex]
Putting the value in the above formula, we get:
So, area = [tex]\pi 10^2 = 100\pi\ m^2[/tex]
Now, there are 4 equal parts of the circle, therefore area of each section will be equal.
Area of each section of the circle:
[tex]\dfrac{100\pi}{4} = \bold{25 \pi}\ m^2[/tex]
(03.03 MC)
The table below represents a linear function f(x) and the equation represents a function g(x):
х f(x)
-1 -5
0 -1
1 3
g(x)
g(x) = 2x - 7
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).
(6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)
(10 points)
Answer:
Please check the explanation.
Step-by-step explanation:
Part a)
Finding the slope of f(x)
Given the table of the function f(x)
x f(x)
-1 -5
0 -1
1 3
Finding the slope using the formula
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-1,\:-5\right),\:\left(x_2,\:y_2\right)=\left(0,\:-1\right)[/tex]
[tex]m=\frac{-1-\left(-5\right)}{0-\left(-1\right)}[/tex]
[tex]m=4[/tex]
Thus, the slope of the function f(x) = 4
Finding the slope of g(x)
We know the slope-intercept form of a linear function is
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept
Given the function
[tex]g(x) = 2x-7[/tex]
comparing with the slope-intercept form
y = mx+b
The slope of the function g(x) = 2
Thus, we conclude that:
The slope of the function f(x) = 4The slope of the function g(x) = 2Hence, the slope of f(x) is greater.
Part b)
Finding the y-intercept form of f(x)
We know that the y-intercept can be determined by setting x = 0 and determining the corresponding y-value.
From the table,
It is clear at x = 0, y = -1
Hence, the y-intercept of the function f(x) = -1
Finding the y-intercept form of g(x)
Given the function
[tex]g(x) = 2x - 7[/tex]
comparing with the slope-intercept form (y = mx+b)
[tex]y = mx+b[/tex]
where b is the y-intercept
Hence, the y-intercept of g(x) = b = -7
Thus, we conclude that:
The y-intercept of the function f(x) = -1The y-intercept of the function g(x) = -7Hence, the y-intercept of f(x) is greater.
Find the mean of 12, 16, and 23.
Answer:
17
Step-by-step explanation:
mean means average...
12+16+23= 51
51/3= 17
HELPPPP PLEASE!!
Find the discounted price of a $90 calculator that is on sale for 25% off.
Answers listed:
$22.50
$67.50
$89.75
$65.00
Answer:
67.5
Step-by-step explanation:
ok easy it cost $90
90/100=0.9
0.9*25=22.5
90-22.5
67.5
If \triangle ABC△ABC is equilateral, solve for x.
x=
Answer:
x = 13
Step-by-step explanation:
The tirangle ABC is given as equilateral. Every angle is therefore =. Not only that, each angle is 60 degrees.
If you need proof of that, remember that x + x + x = 180. Every triangle has 180 degrees.
if 3x = 180 then 1 x is 60
8x - 44 = 60 Add 44 to both sides.
8x = 60 + 44
8x = 104 Divide by 8
x = 104/8
x = 13
A school conducts 27 tests in 36 weeks. Assume the school conducts tests at a constant rate. What is the slope of the line that represents the number of tests on the y-axis and the time in weeks on the x-axis?
Answer:
the slope of the line= 0.75.
its answer is 3.96 in y axis on 76 on X axis
Which of the following is the point-slope equation of the line that passes through
(4,-2) and has a slope of 1/2?
Answer: y + 2= 0.5(x - 4) Is this good?
Step-by-step explanation:
4x+1 = 13 what number x
would make the equation true
Answer:
3
Step-by-step explanation:
Find the slope of the line that is parallel and perpendicular to the given line.
y = 1/3x + 5
m ll =
⊥ =
Answer:
|| slope= 1/3
⊥ slope=-3
Step-by-step explanation:
The line is y=1/3x+5
Parallel slopes are the same (think about parallel lines and how they will never intersect- that means that slopes of those lines will never intersect so they have to be the same)
That means that the || slope will be 1/3.
Perpendicular slopes are negative and reciprocal (if you multiply them, they will equal -1)
Which means to solve for the slope perpendicular, use this equation
1/3m=-1
multiply by 3 on both sides
m=-3
So that means the ⊥ slope will be -3.
hope this helps!
Answer:
[tex]\frac{1}{3}[/tex] and - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{3}[/tex] x + 5 ← is in slope- intercept form
with slope m = [tex]\frac{1}{3}[/tex]
Parallel lines have equal slopes, thus
[tex]m_{parallel}[/tex] = [tex]\frac{1}{3}[/tex]
Give a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{3} }[/tex] = - 3
A group of students would like to know how well the value of coins in a bag can be predicted based on their weight. They collected the following data.
Weight (grams) 32.7 -96.9- 93.8 65.4 65.4 79.7 69.3 112.1
Value $0.63 $3.22 $2.10 $2.17 $2.14 $2.03 $1.76 $3.19
For the bags of coins, what is the correlation coefficient, r , between "weight" and "value"? Use technology, and round your answer to the nearest hundredth.
Using a calculator, it is found that the correlation coefficient between weight and value is of -0.15.
Correlation coefficient:Has two inputs, which are the sets of values x and y.In this problem, the set x is composed by the weights.The set y is composed by the prices.Inserting these values in a calculator, it is found that the correlation coefficient between weight and value is of -0.15.
You can learn more about correlation coefficient at https://brainly.com/question/25815006
helpp
2^2 - (2)(-2) - (-2)^2
Answer:
4
Step-by-step explanation:
2^2 - (2)(-2) - (-2)^2
=4+4-4
=4
2² - (2 × -2) - (-2²)
= 4 - (-4) - 4
= 4 + 4 - 4
= 8 - 4
= 4
I need help with this geometry problem please
Answer:
A. 29
Step-by-step explanation:
Set 5x - 11 = to 3x + 5, and then solve for X, and substitute the x value (8) back into the equation to get 29.
~theLocoCoco
+
Write the polynomial "5a2+3a²+a+1” in standard form (from greatest power to
lowest):
Answer:
8a2+a+ 1
Step-by-step explanation:
just so I know the 5a2 is 5a square r?
Find the two square roots of 1/16
Step-by-step explanation:
The square root of a fraction is the square root of the numerator over the square root of the denominator. In this case, 1/4. The square root of 1/16 = 1/4 Ans.
The square root of 1/16 is 1/4.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
√(1/16)
This can be written as,
= √1 / √16
= 1 / 4
Thus,
1/4 is the square root of 1/16.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ5
HELP ILL GIVE BRAINLIEST AND LOTS OF POINTS
Use the formula d = rt to find the distance, rate, or time
24. r = 5, t = 12
25. d = 24, t = 8
Answer:
24) 60, 25) 3
Step-by-step explanation:
d=r*t
5*12=60
24) 60
d=r*t
to find rate:
d/t=r
24/8=3
25) 3
Need help !
Which equation could be represented by the number line?
Answer:
I think its b
Step-by-step explanation:
On one particular day, Jamal arrived late to find four other co-workers waiting for him to arrive. They were unable to do other work because they had made arrangements to have their position covered and to work with Jamal on a special project. Nothing could be done until he got there. The other workers earned wages as followed: Derek earns $10.00/hr; Sam earns $11.80/hr; Penny earns $11.00/hr and Zachary earns $13.00/hr. How much was lost in unproductive wages because Jamal arrived 15 minutes late?
Answer: $11.45
Step-by-step explanation:
Arriving 15minutes late simply means 15/60 = 1/4 of the wages has been lost. We then multiply 1/4 by each person's wage. This will be:
Derek = 1/4 × $10.00
= $2.50
Sam = 1/4 × $11.80
= $2.95
Penny = 1/4 × $11.00
= $2.75
Zachary = 1/4 × $13.00
= $3.25
The amount lost will be:
= $2.50 + $2.95 + $2.75 + $3.25
= $11.45
3 (x - 3) + x (r + 4)
Answer:
Step-by-step explanation:
3(x-3)+x(r+4)
3x-9+xr+4x
7x+9+xr
uhmmmm... yea............
Answer:
You add 12.5+12.5+3.02+3.02 which equals 31.04
Step-by-step explanation:
The circumference of the base of a right circular cylinder is 252 cm. Find the lateral surface area if the height is 3 m.
Answer:
The lateral surface area is [tex]80,638.4 \ cm^2[/tex]
Step-by-step explanation:
Lateral Surface Area of a Cylinder
It can be computed with the formula:
[tex]\displaystyle A=\pi r^2+2\pi rh[/tex]
Where:
r = radius of the circular base
h = height
The circumference of the base can be calculated as:
[tex]C = 2\pi r[/tex]
We are given the circumference C=252 cm, let's find the radius solving for r:
[tex]\displaystyle r=\frac{C}{2\pi}[/tex]
[tex]\displaystyle r=\frac{252\ cm}{2\pi}[/tex]
r = 40.1 cm
Now we calculate the lateral surface area knowing h=3 m=300 cm:
[tex]\displaystyle A=\pi 40.1^2+2\pi 40.1*300[/tex]
[tex]\boxed{A = 80,638.4 \ cm^2}[/tex]
The lateral surface area is [tex]80,638.4 \ cm^2[/tex]
You had some money and then spent $7.49. Now you have $6.21. How much
did you originally have? _____
Answer:
Step-by-step explanation:
7.49+6.21= 13.70
I’ll mark you brainlist I’ll mark you brainlist write in y=mx+b form I’ll mark you brainlist I’ll mark you brainlist
Answer:
y=5x+12
Step-by-step explanation:
Starting with the components of slope intercept form y=mx+b
m is you rate of change and b represents your y intercept
This would give you in your case y=5x+b, but we still need to solve for b.
So given your (x,y) point you plug it into y=5x+b giving you:
-3 = 5 (-3) + b
then some easy multiplication and addition
-3 = -15 + b
get the constant on the oppisite side of your variable b
-3 + 15 = -15 + 15 + b
This results in b = 12
Now rewrite the formula with b = 12
Which TADA! gives you
y = 5x + 12
solve the system of equation
2x-y-3z=20
3x+y+6z=4
x+2y+9z=-16
6th grade math i mark as brainliest
sorry if you mind but why are you posting all questions here . where are you from
Answer:
Option B) 16 × 9
Option D) 2×2×2×2×3×3
...both are the correct answers.
A ball Is dropped from a height of 100'. The height of the ball can be determined using the equation h = -16t^2+ 100, Where H is the height, in feet, and T is the time in seconds. If age equals 0 Kama find all the values of T and determine whether the values are reasonable for this solution
Answer:
2.5secsStep-by-step explanation:
Given the height of the ball modeled by the equation h = -16t^2+ 100, where
h is the height
t is in seconds
We can find the time taken by the ball to reach the ground.
The ball reaches the ground when the height h = 0
Substitute h = 0 into the equation and find t;
0 = -16t^2+ 100
16t^2 = 100
t^2 = 100/16
t = √100/16
t = 10/4
t = 2.5secs
Hence the ball reaches the ground after 2.5secs
transversals angles
Answer:
It is C. 3
Step-by-step explanation:
Hope this helped have an amazing day!
what 10x10x10x10x10x10x10000=
Answer:
10^6*10000=10,000,000,000
Step-by-step explanation:
Find m2H.
E
81°
A. 81°
B. 162°
C. 89°
D. 99°
True or False. Horizontal translations move a graph up and down.
Answer:
false
Step-by-step explanation:
horizontal is left and right
What is the slope of the line shown on the graph?
1/3 because the slope triangle goes over three and up one and it is rise over run.
Answer:
1/3
Step-by-step explanation:
rise over run- the line goes up one and over three everytime it perfectly intersects a sport on the graph
how many times does 46 go into 296?
Answer:
6.4347826087
Step-by-step explanation: