Answer:
Radian angle = 1.154
Central angle = 66.123°
Step-by-step explanation:
Area of Sector, A
A = 1/2 * r² * θ ; θ measured in radian
A = 9 π
r = 7
9 π = 1/2 * 7² * θ
9 π = 24.5θ
θ = 9 π / 24.5
θ = 1.154 radian
1 radian = 57.296°
1.154 radian = (57.296 * 1.154)
1.154 radian = 66.123°
Which of the following does NOT represent a function?
a. y=2
b. y=-x
c. x=5
d. y=x to the power of 2
Answer:
c
Step-by-step explanation:
because a function has no repeating x values. and 5 repeats
4. Mr. Downey used the function f(x) = -3x2 + 12x to model the flight of a glider. In Mr. Downey's
functions, x is the amount of time that passes in minutes and f(x) is the glider's distance from the ground in
feet. After how many seconds will the glider reach its maximum distance from the ground?
Answer: 120 seconds
Step-by-step explanation: In order to find the maximum value of a function, you can take the derivative of the function and equalize the result to 0.
f'(x)=(-3x^2 + 12x)'=-6x+12=0
x=2
When x is 2, the function will reach its maximum value.
f(2)=-3(2)^2 + 12.2 = -12 + 24 = 12
The maximum value (f(x)) is equal to 12 and the time passed is 2 minutes which is equal to 120 seconds.
Answer:
After 2 seconds
Step-by-step explanation:
Here is the screenshot of the parabola that formed from the quadratic equation.
As you can see the maximum point of the parabola reaches 12 feet after 2 seconds.
Also as stated in the question " After how many seconds will the glider reach its maximum distance from the ground?" We are trying to see at how many seconds the glider reaches the maximum point, not how many seconds until it lands.
Thus, the answer would be 2 seconds
POSSIBLE PC
Samantha is buying fertilizer for the grass in her backyard. What is the total area in square feet that she will have to fertilize?
45 ft
22 ft
30 ft
25 ft
2
3
4
Answer:One pound of nitrogen or mixed fertilizer is recommended per 1,000 square feet of lawn and your particular fertilizer contains 20% nitrogen. Refer to Table 1 to convert this to five pounds of fertilizer that should be applied per 1,000 square feet.
Step-by-step explanation:
The area of a circle is 647 cm2. What is the circumference, in centimeters? Express
your answer in terms of pi.
Answer:
Hello! To find the answer you have to use the formula C=2 square x pie x the area. So the answer would be C= 90.17
Step-by-step explanation:
select all of the following that could be cross-sections of the cone shown below
circle
oval
parabola
rectangle
trapezoid
triangle
Answer:
oval, triangle
hope it helped you ☺
The cross sections of the cone shown can be circle, oval, parabola and triangle.
What is Cross Section?Cross section of a figure or shape can be defined as a plane intersecting with the figure. The resulting shape formed in the intersection part is termed as cross section.
Given shape is a cone.
When a cone is intersected vertically, then the cross section formed is triangle.
When the cone is intersected through the straight horizontal line, we get the cross section as circle.
We will get an oval shape when the cone is intersected with the plane with a given slant by not touching the base.
A parabola shape is formed when a slant plane intersects by touching the base
Hence the cross sections of the given cone are circle, oval, parabola and triangle.
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A bakery bakes 73 batches of 18 cupcakes each week. How many individual cupcakes do they make each week?
Answer:
[tex]1314\ cupcakes[/tex]
Step-by-step explanation:
This question asks one to find the number of cupcakes baked each week, in other words, multiply the number of batches baked by the number of cupcakes in each batch to find the number of individual cupcakes baked.
[tex](batches)*(cupcakes)\\\\= (73)*(18)\\\\= 1314[/tex]
The label for a square box of pasta has an area of 16 in? What is the side length of the box?
Answer:
4.
Step-by-step explanation:
A square has four sides of equal length.
And, the formula for area of a square is a^2.
And, 4^2 or 4⋅4 = 16.
Therefore, the side length of the box is 4.
You can afford a $800 per month mortgage payment. You've found a 30 year loan at 7% interest.
a) How big of a loan can you afford?
$
b) How much total money will you pay the loan company?
c) How much of that money is interest?
a) You can afford a loan of approximately $96,927.88.
b) You will pay a total of $288,000 to the loan company.
c) Approximately $191,072.12 of that money is interest.
To determine how big of a loan you can afford, we can use the formula for the monthly mortgage payment:
M = P * (r(1+r)^n) / ((1+r)^n - 1)
Where M is the monthly mortgage payment, P is the loan principal, r is the monthly interest rate (annual interest rate divided by 12), and n is the total number of payments (number of years multiplied by 12).
a) First, we need to calculate the monthly interest rate and the total number of payments:
Monthly interest rate = 7% / 12 = 0.07 / 12 = 0.00583
Total number of payments = 30 years * 12 months/year = 360
Now we can plug in the values into the formula:
800 = P * (0.00583 * (1+0.00583)^360) / ((1+0.00583)^360 - 1)
To solve for P, we can rearrange the equation:
P = 800 * ((1+0.00583)^360 - 1) / (0.00583 * (1+0.00583)^360)
Using a calculator, we find that P is approximately $96,927.88.
b) To calculate the total money paid to the loan company, we multiply the monthly payment by the total number of payments:
Total money paid = $800 * 360 = $288,000
c) To determine how much of that money is interest, we subtract the loan principal from the total money paid:
Interest = Total money paid - Loan principal
Interest = $288,000 - $96,927.88
Interest = $191,072.12
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Which of the following statements are true about the given rational equation? Check all of the boxes that apply. 4 x + 6 + 1 x2 = x + 10 x3 + 6x2 x = 1 is a solution. x = 0 is an extraneous solution. x = –1 is a solution. x = –6 is an extraneous solution.
Answer:
A and C
Step-by-step explanation: Edge 2021
The statements which are true about the given rational equation is:
A. 4 x + 6 + 1 x2 = x + 10 x3 + 6x2 x = 1 is a solutionC. x = –1 is a solution.Rational EquationsThis refers to an equation which has fractions which contains polynomials and can be solved by reducing the fractions to solve the inequality.
With this in mind, we can see that options A and C are both solutions to a rational equation because of their equality of their solutions.
Read more about rational equation here:
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In order to determine the number of hours of homework that a grade 10 student at Cedar Valley School does each week Elaine selects a random sample of 25 grade 10 students at the school and asks them to fill out a survey. Identify the sample.
A. the 25 students selected
B. the students in grade 10 at Cedar Valley School
C. all students at Cedar Valley School
D. the students in Elaine's grade 10 class at Cedar Valley School
E. all the grade 10 students in the school district
divide 81m in ratio 5:4
Answer:
45:36
Step-by-step explanation:
Please correct me if not correct.
If the cost of production is 20 per 17 inches ^2. why does the dough cost $2 and not say
$27 ($2*7') ?
Answer:
111.32 Answer =)
1Step-by-step explanation:
Solve for x:
3x + 2 = 11
A.
11
5
B. 3
11
13
D.
13
3
E. 6
Answer:it is b
Step-by-step explanation:
Suppose a polynomial of degree 4 with rational coefficients has the given numbers as zeros. Find the other zero.
Answer:
[tex]x_4 = -5 + i[/tex]
Step-by-step explanation:
See comment for complete question.
From the complete question, we have:
[tex]Zeros \to -2, -6, -5-i[/tex]
Required
Determine the other zero
The zeros can be represented as:
[tex]x_1 = -2[/tex]
[tex]x_2 = -6[/tex]
[tex]x_3 = -5-i[/tex]
Considering the 3rd zero, which is a complex number.
If a polynomial has a complex number as one of its zeros, then its conjugate pair is the corresponding zero
A conjugate pair is given as:
[tex]a + bi[/tex] and [tex]a - bi[/tex]
For [tex]x_3 = -5-i[/tex]
The conjugate pair is:
[tex]x_4 = -5 + i[/tex]
Hence, the other zero is: [tex]-5 + i[/tex]
NO LINKS and whoever answers correctly and first gets the brainliest
Answer:
i think it is A
Step-by-step explanation:
Answer:
A) m = 1300 - 35(8)
Step-by-step explanation:
If your savings account has $1300 in it, and 35 is being taken away every month for 8 months, then you would multiple the months by the amount of money being taken away then subtract the amount from the total amount of money in her account. There for 'm = 1300 - 35(8)'.
What is the ordered pair for point A & F
A: A = (1, 6) & F= (5,1)
B: A= ( 6, 1) & F = (0,5)
C: A = ( 1, 6) & F = (5, 0)
D: A = (1,6) & F = ( 1,5)
Answer equation pls =)
1/4x+32=x+11
Answer:
1/4x+32=x+11 x=28
Answer:
x=28
Step-by-step explanation:
Write as decimal
0.25x+32=x+11
Subtract 0.25x from both sides
32=0.75x+11
Subtract 11 from both sides
21=0.75x
Divide both sides by 0.75
x=28
Left with what x equals
Brianna rolls two number cubes labeled 1–6. What is the probability that Brianna rolls a sum of 5?
Answer: [tex]\dfrac{1}{9}[/tex]
Step-by-step explanation:
Given
Brianna roll two cubes labeled 1-6
To get a sum of 5, sample space is
[tex]n(s)=\{(1,4),(4,1),(2,3),(3,2)\}[/tex]
No of the elements in [tex]n(s)[/tex] is 4
The total outcomes possible is 36
[tex]\therefore \text{Probability }P=\dfrac{4}{36}\\\Rightarrow \dfrac{1}{9}[/tex]
Can you answer 1 and 2
Answer:
You have them both correct. #1 is B #2 is C
Step-by-step explanation:
Mr. Cole has $ 200. He keeps 3_4 of the money and divides the remainder equally between his two children. How much money does each child receive?
Answer: [tex]\$25[/tex]
Step-by-step explanation:
Given
Mr. Cole has $200
He keeps three-fourth of money i.e.
[tex]\Rightarrow 200\times \dfrac{3}{4}=\$150[/tex]
Remaining money is [tex]=200-150=\$50[/tex]
If $50 dollar is distributed among two-child, then each child will get
[tex]\Rightarrow \dfrac{50}{2}=\$25[/tex]
Please help me I will mark brainliest
Need help with math plzz help no links or imma report. 20 point math plzz help me
Answer:
B. 15
Step-by-step explanation:
We know that we need to make the equation fit for one week. So for Nic we make the equation: 150x+75y. X being the weeks and y being the packages sold. Asia's equation would be 1275x. Make x equal 1, for one week.
150+75y
1275
Then subtract the weekly cash from each other.
1275-150= 1125
Than divide by 75 to see how many packages.
1125/75= 15
15 packages are needed to be sold.
the bathrrom tiles are square with a length of 10cm find tge area of such tile
Answer: 100
Step-by-step explanation:
factor completely;
3x^2 - 28x + 49
Answer:
(3x-7) (x-7)
Step-by-step explanation:
Answer:
(3x-7) (x-7)
PLEASE MARK BRAINLIEST
Step-by-step explanation:
32−28+49
32−7−21+49
-----
32−7−21+49
(3−7)−7(3−7)
---->(3x-7) (x-7)
Please help meee! (Solve area)
Answer:
First we can do (12*4)- thats the top rectangle. Remember area is base times height.
48
Next lets do (8*12)-thats the middle rectangle
48+ 96
Now the triangles.
you can just do 2*8/2 because a triangle is half of a rectangle.
48+ 96+ 8
add 8 again because theres 2 triangles-
48+96 + 8 +8
Your answer is 160
I hope this helps you!
Goodluck!
(can i have brainlinest if this is right!?)
<3
A point is reflected across the x-axis. The new point is located at (4.75, -2.25) Where was the original point located.
Answer:
(4.75, 2.25)
Step-by-step explanation:
Given the coordinate (x,y). If this coordinate is reflected over the x axis, the resulting coordinate will be (x, -y)
Note that the y coordinate was negated.
Let the original point needed be (x, y)
If the new point is located at (4.75, -2.25)
Since the y coordinate was negated, then;
-y = -2.25
y = 2.25
x = 4,75 (x coordinate remains the same)
Hence the original point is (4.75, 2.25)
Three fourths divided by nine
Answer:
0.1
Step-by-step explanation:
Divide 3/4 by 9 which will leave you with 0.083 repeated but if you estimate to the closest decimal that will bring you to 0.1 as your final answer.
What is the equation
Answer:
1+1= 11
1Step-by-step explanation:
I might be wrong so if i am right pls give me a thanks
Write an exponential function in the form y = ab^x that goes through points (0,5)
and (4,6480).
Answer:y=5(6)^x
Step-by-step explanation:
HELP ME I WILL GIVE BRAINLY IF I WAS BORN SEPTEMBER 13th and I WAS 16 WHAT YEAR WAS I BORN
Answer:
2004
Step-by-step explanation:
if it was 2005 theyd be 15