A giant pie is created in an attempt to break a world record for baking. The pie is shown below:
A circle is shown with a central angle marked 45 degrees and the diameter marked 15 feet.
What is the area of the slice of pie that was cut, rounded to the nearest hundredth?
Answers
The area of the slice of pie that was cut, rounded to the nearest hundredth is 22.08 square feet.
The slice of pie will form a sector as shown;
The area of the slice of pie will be expressed as:
[tex]A=\frac{\theta}{360}* \pi r^2[/tex]
[tex]\theta\\[/tex] is the central angle = 45 degrees
r is the radius
[tex]r=\frac{d}{2}\\r= \frac{15}{2}\\r= 7.5feet[/tex]
Substitute the given values into the formula above;
[tex]A=\frac{45}{360} * 3.14*7.5^2\\A=\frac{1}{8} * 176.625\\A=22.08ft^2[/tex]
Hence the area of the slice of pie that was cut, rounded to the nearest hundredth is 22.08 square feet.
The area of the slice of pie that was cut, rounded to the nearest hundredth is 22.08 square feet.
Learn more about an area of a sector here: https://brainly.com/question/12792310
Answer:
the guy on top is right
Step-by-step explanation:
i took the test
Related Questions
2.87x7.8
need answer
Answers
= 22.386
Hope this helps!
2.87 * 7.8
= 22.386
Evaluate the expression for u = -15.
-2(-12 – u) =
Answers
Answer:
-6
Step-by-step explanation:
-2(-12 - u )
u = -15
-2 ( -12 - (-15))
remove parenthesis.
-2 ( -12 + 15 )
add -12 and 15
-2 ( 3 )
multiply -2 and 3
= -6
Step-by-step explanation:
u = -15-2(-12 - u) = -2(-12 + 15) = -2(3) = -6
What two numbers multiplied together makes -15 then you add them together to make 2
Answers
Answer:
-3 and 5
Step-by-step explanation:
-3*5=-15
-3+5=2
Answer:
-3 and 5
Step-by-step explanation:
-3×5 I'd -15
also -3+5 is 2
Plz help brainiest to the correct answer!
Answers
#1
Current temperature=0°C
Temperature before 1 hour
[tex]\\ \sf{:}\dashrightarrow 0+3°C=3°C[/tex]
#2
Temperature before 3h
[tex]\\ \sf{:}\dashrightarrow 0+3(3)=0+9=9°C[/tex]
#3
Temperature before 4.5h
[tex]\\ \sf{:}\dashrightarrow 0+4.5(3)=13.5°C[/tex]
How many solutions does this equation have?
–2b − 9 = –b
Answers
Answer:
b= -3
b=3/2=1.500
Step-by-step explanation:
step 1 . b • (2b + 3) - 9 = 0
Step-2 : Find two factors of -18 whose sum equals the coefficient of the middle term, which is 3 .
-18 + 1 = -17
-9 + 2 = -7
-6 + 3 = -3
-3 + 6 = 3
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 6
2b2 - 3b + 6b - 9
Step-4 : Add up the first 2 terms, pulling out like factors :
b • (2b-3)
Add up the last 2 terms, pulling out common factors :
3 • (2b-3)
Step-5 : Add up the four terms of step 4 :
(b+3) • (2b-3)
Which statement best explains whether the table represents a linear or nonlinear function? (4 points)
Input Output
(x) (y)
0 1
1 2
2 4
3 16
Answers
Answer:
Step-by-step explanation:
Nonlinear, because the slope is not constant - it keeps changing.
Slope between (1,1) and (1,2) is (1/1) or 1
Slope between (2,4) and (16,3) is:
Rise = (3-4) = -1
Run = (16-2) = 14
Slope = 14/-1 or -14
Definitely not linear. The slope changes dramatically very quickly. A straight line would disapprove.
A plant nursery is having a sale. Potted begonias are marked down 27%, and tomato seedlings are marked down 35%. If you pay $6. 57 each for two potted begonias and $2. 60 each for three tomato seedlings, how much did you save? a. $3. 83 b. $5. 31 c. $6. 92 d. $9. 6.
Answers
Based on the markdowns and the number of each of the plants purchased, the amount saved is $9.06
Potted Begonias cost $6.57 when discounted by 27%. Their cost must be:
Discounted cost = Original cost x (1 - Discount)
6.57 = Original x (1 - 27%)
Original = 6.57 / 0.73
Original = $9.00
The savings here are therefore:
= 2 x (9 - 6.57)
= $4.86
The original cost of the Tomato seedlings is:
= 2.60 / ( 1 - 35%)
= $4.00
Savings would be:
= 3 x (4 - 2.60)
= $4.20
Total savings are therefore:
= 4.86 + 4.20
= $9.06
In conclusion, $9.06 was saved.
Find out more on this at https://brainly.com/question/25748983.
Given h(x)=4x-1, solve for x when h(x)=-9
Answers
Step-by-step explanation:
h(x) = 4x - 1
given,
h(x) = -9
now,
h(-9) = 4(-9) - 1
→ -36 - 1
→ -37
hope this answer helps you dear, take care!
Answer:
x = - 2
Step-by-step explanation:
Given h(x) = 4x - 1 and h(x) = - 9, then equating right sides gives
4x - 1 = - 9 ( add 1 to both sides )
4x = - 8 ( divide both sides by 4 )
x = - 2
If 90% of 150 students passed their exam, and 1/5 of those received an A on the test, how many students received an A?
Answers
Explanation-
90%= .9
.9(150)=
135
135(1/5)=
27
Answer:
27 students received an A
Step-by-step explanation:
90% of 150 is 135
1/5 of 135 is 27
One step equations- solve for "X" or find it. Please help
3x=-12
14x=280
x+6=-5
x+27=125
x-324=760
x-43=35
x/6=-24
x/13=214
26-x=47
-x/3=-998
I know, I always put 100 points, I just like giving extra points :) Merry almost Christmas also!!!
Answers
Since these are one-step equations we only have one step.
To solve, these single steps will include the following:
[1] addition (+)
[1] subtraction (-)
[2] division (/ or ÷)
[2] multiplication (* or x)
How do we answer these? We do the opposite of what is shown. If we have addition in 4 + x = 6, we will use subtraction to solve. The numbers one (1) and two (2) above show the "sets" of which we use.
[] 3x = -12
-> -4
We have multiplication so we will divide -12 by 3 for an answer of -4
[] 14x = 280
-> 20
We have multiplication so we will divide 280 by 14 for an answer of 20
[] x + 6 = -5
-> -11
We have addition so we will subtract 6 from -5 for an answer of -11
[] x + 27 = 125
-> 98
We have addition so we will subtract 27 from 125 for an answer of 98
[] x - 324 = 760
-> 1,084
We have subtraction so we will add 324 to 760 for an answer of 1,084
[] x - 43 = 35
-> 78
We have subtraction so we will add 43 to 35 for an answer of 78
[] x/6 = -24
-> -144
We have division so we will multiply 6 by -24 for an answer of -144
[] x/13=214
-> 2,782
We have division so we will multiply 13 by 214 for an answer of 2,782
[] 26 - x = 47
-> -21
We have subtraction so we will add x to both sides to reach the equation 26 = 47 + x
Then, we have addition so we will subtract 47 from 26 to get an answer of -21
[] -x/3=-998
-> 2,994
First, we will move the negative to the bottom of the fraction, which looks like this: [tex]\frac{-x}{3} = \frac{x}{-3}[/tex]
Then, we have division so we will multiply -3 by -998 for an answer of 2,994
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
helppppppppppppppppp
Answers
Answer:
A multiplicative inverse or reciprocal for a number x, is denoted by 1/x or x‾¹.
So, the answer to your question is B. a × (1/a) = 1.
Hope this helps!! :)
3 How is the value of 2 - 3 like the value of 3 - 2? How is it different? -
Answers
Answer:
They are not diffrent at all. may look diffrent from the question but lets look a little closer!
Step-by-step explanation:
2-3=1 and 3-2=1 both answers look the same because the equion is Both 3s in 3-2 and 2-3 looks no diffrent. To be honest one is only backwords from the other one! But remeber to think BIG and look at those diffrentses.
{(2,12), (3,8), (4,6)}
constant:
equation:
Answers
Answer:
y = x² - 9x + 26
hope to help!!
How do you graph x less than -3 1/2
Answers
Answer:
Graph attached
Step-by-step explanation:
the data set represents the total number of tickets each person purchased for a play. 0, 0, 1, 1, 1, 2, 2, 2, 4, 4 what is the median of the data? 1 1.5 2 2.5
Answers
The median of the data 0, 0, 1, 1, 1, 2, 2, 2, 4, 4 is 1.5
There are three measures of central dispersion:
Mean: This is the average of the given data in the distribution.Median: It is the middle value of the set when the set is either arranged in ascending or descending order.Mode: This is the value that has the largest occurrence in the distribution.Given:
0, 0, 1, 1, 1, 2, 2, 2, 4, 4
The are 10 values in the data
So, we have two middle values: 1 and 2
Median = (1 + 2) / 2
= 3/2
= 1.5
Therefore, the median of the data 0, 0, 1, 1, 1, 2, 2, 2, 4, 4 is 1.5
Learn more about median:
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Answer:
= 1.5
Step-by-step explanation:
A researcher measured the length of several lizards she found in a field and recorded the data in the box plot shown below.
Answers
The Lawrence Art Museum offers individual memberships for $49.50. Once someone has
purchased an individual membership, he or she can go to the museum for just $5 per visit.
What is the cost of becoming a member and visiting the museum 12 times?
Answers
Answer:
109.50
Step-by-step explanation:
cost of membership + individual visit price
49.50+ 12*5 (cost of membership plus amount of visits * ticket price)
109.50
pls help what is the answer
Answers
order from greatest to least 55% of 180 30% of 260 12% of 700
Answers
Answer: 55% of 180, 12% of 700, and 30% of 260.
Step-by-step explanation:
55% of 180 = 99…
30% of 260 = 78…
and 12% 700 = 84…
Answer:
55% of 180 > 12% of 700 > 30% of 260
Step-by-step explanation:
55% of 180 = 99
30% of 260 = 78
12% of 700 = 84
A store owner wishes to make a new tea with a unique flavor by mixing black tea and oolong tea. If he has 35 pounds of oolong tea that sells for $2.40 per pound, how much black tea worth $1.80
Answers
The cost of 35 pounds of oolong tea is $84.
An equation is used to show the relationship between two or more variables or numbers.
Given that oolong tea sells for $2.40 per pound.
There are 35 pounds of oolong tea available. Hence:
Cost of 35 pounds of oolong tea = $2.40 per pound * 35 pound
Cost = $84
Hence, the cost of 35 pounds of oolong tea is $84.
Find out more at: https://brainly.com/question/21105092
Answer:
35 LB (THIS IS ACTUALLY CORRECT)
Step-by-step explanation:
First, you lay it down like this:
Since you're selling 35 pounds of oolong tea that sells for $2.40, you multiply both
2.4*35
=84
However, since you don't know how many pounds of black tea, you use x
Multiply like above
1.8*x
=1.8x
The total mixture is selling for $2.10
Total pounds: 35 + x (given above, or black + oolong tea
equation:
84 + 1.8x = 2.1(35+x)
84 + 1.8x = 73.5 + 2.1x (distributive property)
- 1.8x - 1.8x
84 + 0 = 73.5 + 0.3x
-73.5 -73.5
10.5 = 0.3x
3.5 = 0.1x
35 = x
Please Help
Factor the polynomial: x^3 + 3x - 2x - 6
Answers
Answer:
(x^2-2)(x+3)
Step-by-step explanation:
x^3 + 3x^2 - 2x - 6
x^2(x+3)-2(x+3)
(x^2-2)(x+3)
In triangle cyz angle x=135 degrees y=21 degrees and z=4. Find side x to one decimal place.
Answers
I don't know the answer to this question but I thought I learned algebra so my friend asked me what y=mx+b was and I said it was a curved line. am i correct?
my Christmas present to you
Answers
Answer: ty
Step-by-step explanation:
Subtract
O
O
Iw + 4 from
I W .
+3
10-1
-w+1
w+7
- 7 / 20 + 7
7
-
O
O
Answers
Answer: (1/4)w - 1
Step-by-step explanation:
[(1/2)w + 3] - [(1/4)w + 4]
[(1/2)w - (1/4)w] + [3 - 4]
(1/4)w - 1
4x^2+8x-12 in vertex form
Answers
Answer:
y = 4 (x + 1)² - 16
Step-by-step explanation:
Step 1: Equation at the end of step 1
(2²x²+8x)-12
Step 2:
Step 3: Pulling out like terms
Pull out like factors :
4x² + 8x - 12 = 4 • (x² + 2x - 3)
Trying to factor by splitting the middle term
Factoring x²+ 2x - 3
The first term is, x²
its coefficient is 1 .
The middle term is, +2x its coefficient is 2 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 1 • -3 = -3
Step-2 : Find two factors of -3 whose sum equals the coefficient of the middle term, which is 2 .
-3 + 1 = -2
-1 + 3 = 2 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -1 and 3
x² - 1x + 3x - 3
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-1)
Add up the last 2 terms, pulling out common factors :
3 • (x-1)
Step-5 : Add up the four terms of step 4 :
(x+3) • (x-1)
Which is the desired factorization
Final result :
Final result :
4 • (x + 3) • (x - 1)
Now convert to vertex form:
y = 4 (x + 1)² - 16
if f(x) = 3x - 1 and g(x) = x + 2, find (f-g)(x).
Answers
Answer:
f(x+2)=3x+5
Step-by-step explanation: hope this helps, love. have a good day
Plzz help Drag each graph to the correct location on the table.
The points on the graphs represent relations. Classify these relations according to whether or not they are functions.
Answers
Answer:
Functions: Second Graph
The other two are not. Use the vertical line test. I'm pretty sure but not 100%
Step-by-step explanation:
The first 5 terms of a quadratic sequence are
-1, 5, 15, 29,47
Find the nth term of this sequence.
Answers
Step-by-step explanation:
an = 2n^2 - 3 · Anonymous. -1, 5, 15, 29, 47, ... an = 2 n^2 - 3.
The required nth term will be 2n² - 3 in the given quadratic sequence.
What are the sequences?Sequences are defined as an arrangement of numbers that is in a particular order.
The first 5 terms of a quadratic sequence are following as:
-1, 5, 15, 29, 47,
We have to determine the nth term of the given sequence.
As per the given question, we have
-1, 5, 15, 29, 47,
We can rewrite the above numbers in the sequence as
first term = -1 = 2(1)²-3,
second term = 5 = 2(2)²-3,
3d term = 15 = 2(3)²-3,
4th term = 29 = 2(4)²-3,
5th term = 47 = 2(5)²-3
Similarly, nth term = 2n² - 3
Therefore, the required nth term will be 2n² - 3 in the given quadratic sequence.
Learn more about arithmetic sequence here:
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PLEASE I AM IN DESPERATE NEED OF HELP
Answers
Answer:
C: H > 60
Step-by-step explanation:
H is 60 in or taller, underlined indicates that it's also 60 in, not just above it.
A car moving at a constant speed passed a timing device at t = 0. After 8 seconds, the car has traveled 936 ft. Write a linear function rule to model the distance in feet d the car has traveled any number of seconds t after passing the timing device.
Answers
Answer:
The required equation is:
d = 81tf(t) = 81tStep-by-step explanation:
I think that's the answer
The linear function rule to model the distance in feet 'd' that the car has traveled any number of seconds 't' after passing the timing device. can be represented as d = f(t) = 117t
What is Linear Function?A linear function can be defined as the function whose graph is a straight line. It can also be defined as the function with one or more variables but does not have exponents to the variables or the exponent of the variable is 1.
Given that car is moving at a constant speed.
Distance travelled by car = 936 feet
Time taken to travel the distance = 8 seconds
Speed = Distance / Time
= 936 / 8
= 117 feet per second
So the car will be moving at a speed of 117 feet per second at any time t.
Distance of car at any time is,
Distance = Speed × Time
d = 117 × t
d = f(t) = 117t
Hence the linear function which models the relationship between d and t is d = f(t) = 117t.
Learn more about Linear Functions here :
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