Rebecca is sharing a pizza with some friends. Below is an Image of how she cuts the pizza.
AE is a diameter of the 20 in pizza!
a) If rebecca wants the biggest piece which one would she choose ( name it by its arc)? Be careful the image may not be drawn to scale
b) Rebecca loves stuffed crust!! She decides to figure out the length of cheese in her piece of the crust ( hint find the arc length
Answers
Answer:
a) The piece of pizza she should choose is BE
b) The length of the cheese in her piece of the crust is approximately 20.07 inches
Step-by-step explanation:
The given diameter of the pizza, AE = 20 in.
The measure of the arc AB, [tex]m\widehat{AB}[/tex] = ∠ACB = 65°
The measure of the arc DE, [tex]m\widehat{DE}[/tex] = ∠DCE = 110°
Given that AE is the diameter of the circular pizza, we have;
[tex]m\widehat{BE}[/tex] = ∠BCE = 180° - ∠ACB = 180° - 65° = 115°
Similarly;
∠ACD = 180° - ∠DCE = 180° - 110° = 70°
a) The biggest piece of pizza is the piece with the largest angle which is the piece formed by arc BE, [tex]m\widehat{BE}[/tex] = 115°
The piece of pizza she should choose is the piece, BE
b) Arc length = (Arc angle)/360 × (Circumference of the circle)
The circumference of the circular pizza, C = π × Diameter = π × length [tex]\overline {AE}[/tex]
∴ C = π × 20 in.
The arc length of the arc BE = 115/360 × π × 20 = 115·π/18 ≈ 20.07
The length of the cheese in her piece of the crust, l = The arc length of the arc BE ≈ 20.07 inches.
Related Questions
Which statement describes the expression below? 1 + 6 ÷ 2 × 3 Multiply the quotient of 6 and 2 by 3, then add 1. Add 1 and 6, then divide by 2 and multiply by 3. Divide 6 by the product of 2 and 3, then add 1. Add 3 to half of 6 multiplied by 1.
Answers
Answer:
Add 1 and 6, then divide by 2 and multiply by 3.
Step-by-step explanation:
Please help! If you do you will get 'Brainliest'
Answers
Answer:
D is your answer.
Step-by-step explanation:
if you do 2 numbers to the right you get 3 and now the half would go in between 3 which would make your answer 3 and one half
Answer:
answer (-1) because from a if u minus 2 1/2 u get (-1)
Solve for x
4/x = 2/7
Answers
x=14
what us 3×3+7×7 but I have to find the answer
Answers
Answer:
58
Step-by-step explanation:
3 * 3 is 9 + 7 * 7 is 49 so 9 + 49 equals 58
Answer:
58
Step-by-step explanation:
Following the Order of Operations, you'd put parenthesis around the two threes and the two sevens, making it (3*3)+(7*7) which equals 9 + 49 and results in the number 58.
When given a word problem, what should you always do to better visualize the problem?
Answers
Step-by-step explanation:
1.Read the Entire Word Problem.
2.Think About the Word Problem.
3.Write on the Word Problem.
4.Draw a Simple Picture and Label It.
5.Estimate the Answer Before Solving.
6.Check Your Work When Done.
7.Practice Word Problems Often.
The diameter of a circle is 19 m. What is the circumference of the circle? Use 3.14 for pi.
Answers
Answer:
D) 59.66 m
Step-by-step explanation:
circumference = 19π = 59.66 m
HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
3. Use the information about the m<2 and m
determine the missing information.
m22 = 97°
m26 = 83°
m
2
5
m2 3 =
m2 5 =
3
4
7
8
m210 =
m2 7 =
9
10
13
14
m2 9 =
m216 =
$
11
12
15/16
Answers
Answer:
m<3 = 97
m<10 = 97
m<9 = 83
m<5 = 97
m<7 = 83
m<16 = 97
Step-by-step explanation:
m<3 = m<2 because of vertical angles
m<10 = m<2 because of corresponding angles
m<9 + 97 = 180
m<9 = 83
m<5 + 83 = 180
m<5 = 97
m<7 = m<6 because of vertical angles
m<16 = m<5 because of alternate exterior angles.
1, 3, 5, 7,...
Find the 50th term of the sequence.
Answers
Answer:
99
Step-by-step explanation:
1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51 ,53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99
Just go up 2 numbers 50 times
At a concert 3 out of 10 people who entered the Alamodome Nike shoes based on this information if there are 1200 people add the music concert how many people could be expected to be wearing Nike shoes?
Answers
Complete Question
At a concert 3 out of 10 people who entered the Alamodome wore Nike shoes based on this information if there are 1200 people at the music concert how many people could be expected to be wearing Nike shoes?
Answer:
360 people
Step-by-step explanation:
The fraction of people wearing Nike shoes = 3/10
The total number of the people at the concert = 1200 people
Therefore, the number of people cthat ould be expected to be wearing Nike shoes is calculated as:
3/10 × 1200 people
= 360 people
The answer is 360 people
what is the volume of the triangular prism below
Answers
Answer:
246.2
Step-by-step explanation:
Hope this helps!
Miranna teaches gymnastics lessons at summer
camp. She is paid $12.50 per hour.
If Miranna were offered a raise of 100% of her hourly
rate, how much would she be paid?
Answers
Amare drops a probe into a lake. The elevation of the probe changes
by - 13 feet every second. The probe takes 50 seconds to reach
the bottom of the lake. How deep is the lake? Show your work .
Answers
Answer:
13 x 50 = 650
Step-by-step explanation:
Answer:
75 ft
Step-by-step explanation:
Given 300mL of a gas at 17.0 degrees Celsius, what is the volume at 10 degrees Celsius if the pressure remains constant?
Answers
Answer:
292.75mL
Step-by-step explanation:
From the ideal gas equation
PV= nRT
With each symbols having standard meaning
For pressure remaining constant the equation for two states can be written as
[tex]\frac{V_1}{T_1}=\frac{V_2}{T_2}[/tex]
Given V_1 = 300mL, T_1 = 17° C = 290K and T_2 = 10°C or 283K
Now plugging values in above equation to find V_2
[tex]\frac{300}{290} =\frac{V_2}{283}\\V_2 =\frac{300}{290}\times283 = 292.75mL[/tex]
Therefore, the volume at 10 degrees Celsius = 292.75mL
I just need to solve this: 5x^3=60x
Answers
In illustrating combination question, during conference meeting there are 7 guests bumped their elbow instead of shake hand in greeting each of other to observe the health protocol ,and show the solution please...
Answers
One hundred nautical miles equals about 185 kilometers. To the nearest kilometer, how far in kilometers is 140 nautical miles?
25,900 km
185 km
76 km
259 km
Answers
Answer:
259 km
Step-by-step explanation:
Butterfly method 100/185=140/???
185*140=25900
divide by 100
=295
the circumference of a circle is about 48.042 yards. the circle's diameter is ___ yards.
use 3.14 for pi.
Answers
Step-by-step explanation:
Given
Circumference of circle = 48.042 yards
diameter (d) = ?
we know
Circumference = πd
or, 48.042 = 3.14 * d
or, d = 48.042 / 3.14
Therefore d = 15.3 yards
The circle's diameter is 15.3 yards.
Hope it will help :)❤
diameter is 15.3 yards.
Number of Amusement Park Visits A 2-column table with 5 rows titled Number of Amusement Park Visits. Column 1 is labeled Visits with entries 1, 2, 3, 4, 5. Column 2 is labeled Tally with entries 4, 7, 3, 4, 2. You asked amusement park visitors the question “How many amusement parks have you visited this summer?” The tally table shows the results. Which number line would be best to use to create a dot plot of the set of data? a number line from 0 to 4 a number line from 1 to 5 a number line from 2 to 7 a number line from 0 to 7
Answers
Answer:
B
Step-by-step explanation: let me know if this is wrong
Answer:
its b
Step-by-step explanation:
well the person above me is correct he should get brainlies
Which steps are correct to solving this?
Answers
Answer:
it will mist likely be A hope this helps
If it takes 4 jugs to water 15 plants, how many plants can you water with 12
jugs?
Answers
Answer:
31.2
Step-by-step explanation:
Divide 4/15= 2.66
12x2.6= 31.2
This might be wrong..
You need a mean of at least 90 points to advance to the next round of the touch-screen trivia. What score in the fifth game will allow you to advance
Answers
Answer:
At least 98 is needed in the 5th game
Step-by-step explanation:
The missing parameters are:
[tex]Game\ 1 = 95[/tex]
[tex]Game\ 2 = 91[/tex]
[tex]Game\ 3 = 77[/tex]
[tex]Game\ 4 =89[/tex]
[tex]Mean = 90[/tex] at least
Required
The score in game 5 to make you advance
Mean is calculated as:
[tex]Mean = \frac{\sum x}{n}[/tex]
So, we have:
[tex]Mean = \frac{95 + 91 + 77 + 89 + Game\ 5}{5}[/tex]
[tex]Mean = \frac{352 + Game\ 5}{5}[/tex]
The mean must be at least 90.
So, we have:
[tex]\frac{352 + Game\ 5}{5} \ge 90[/tex]
Multiply both sides by 5
[tex]5 * \frac{352 + Game\ 5}{5} \ge 90 * 5[/tex]
[tex]352 + Game\ 5 \ge 450[/tex]
Make Game 5 the subject
[tex]Game\ 5 \ge450 - 352[/tex]
[tex]Game\ 5 \ge 98[/tex]
At least 98 is needed in the 5th game
Gretel peeked around the bush and spied 345 leprachauns gathered in the glen. If this was 15 percent more than Petros spied under the tree, how many leprachauns did Petros spy?
Answers
｡ﾟﾟ･｡･ﾟﾟ｡
ﾟ。Pain is temporary, swag is forever
ﾟ･｡･ <3
Answers
One angle of a triangle measures 95° the other two angles are in a ratio of 7:10 what are the measures of those two angles
Answers
Answer:
35 degrees and 50 degrees
Step-by-step explanation:
The sum of all the angles in a triangle must be 180 degrees. So 180 - 95 = 85 leftover for the other two angles. Since we have a ratio of 7:10, we can add that up to get 17 total pieces of that 85-degree angle. 85 / 17 = 5, so each piece is 5 degrees. Therefore, the other two angles are 7*5 = 35 degrees and 10*5 = 50 degrees.
A grocery store clerk put only packages of flour tortillas and
packages of corn tortillas on a shelf. The ratio of the number of
packages of corn tortillas to the total number of packages on the
shelf was 6 to 18.
Which number could be the number of packages of flour tortillas the
clerk put on the shelf?
F.
10
G.
20
H.
24
J.
32
Answers
Answer:
10
Step-by-step explanation:
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answers
Answer:
I think D
Step-by-step explanation:
I am not sure sorry
A parabola has focus (5,1) and directrix y=-3.
Where is the parabola’s vertex?
Answers
Answer:
vertex = (5, - 1 )
Step-by-step explanation:
The focus and directrix are equidistant from the vertex
Since the equation of directrix is y = - 3 then the parabola is vertical,
The distance between the focus and directrix is
| 1 - (- 3) | = | 4 | = 2
Thus the vertex is 2 units below the focus
vertex = (5, 1 - 2 ) = (5, - 1 )
A parabola has focus (5, 1) then the vertex of the parabola will be (5, -1).
What is a Parabola?A location on the curve that is equally spaced from both a fixed location and a fixed line is referred to as a parabola. The parabola's focus requires and fixed line are referred to as its foci and directrix, respectively.
As per the given information in the question,
The focus and directrix are equidistant from the vertex then,
The parabola is vertical because the directrix's equation is y = - 3; hence, the focus and directrix are separated by:
|1 - (-3)| = |4| = 2
The vertex is therefore 2 units below the focus.
vertex = (5, 1 - 2) = (5, -1)
To know more about Parabola:
https://brainly.com/question/21685473
#SPJ2
A $30 sweater is on sale for 20% off at Kohls. The same $30 sweater is on sale at Macy's for $5 OFF the price. What is the difference in sale prices between the two stores
Which store has the sweater in the above question for the better price ?
Answers
Answer: You can save 15% or more on car insurance when you switch to Geico
Step-by-step explanation:
The difference in sale prices between the two stores is $4.5.
What is discount?A discount is the reduction of either the monetary amount or a percentage of the normal selling price of a product or service.
Given that, a $30 sweater is on sale for 20% off at Kohls.
Here, sales price = 30-20% of 30
= 30-20/100 ×30
= 30- 0.2×30
= 30-6
= $24
The same $30 sweater is on sale at Macy's for $5 off the price.
Here, sales price = 30-5% of 30
= 30-5/100 ×30
= 30- 0.05×30
= 30-1.5
= $28.5
So, difference in price = 28.5-24
= $4.5
Therefore, the difference in sale prices between the two stores is $4.5.
To learn more about the discount visit:
https://brainly.com/question/3541148.
#SPJ3
A school club is raising money for a trip, and needs to reach $10,000. Their fundraising progress is modeled by the function
f(x) = 435 + 1200x, where x is measured in weeks.
What is the meaning of the coefficient 1200?
Answers
Answer:
maybe the amount of money by each student
Each quadrilateral below is a parallelogram . find the missing measures .
Answers
Answer:
AD = 8
DC = 15
m∠A = 112°
m∠B = 68°
m∠C = °
Step-by-step explanation:
If we're working with parallelograms, we can assume that each line and it's opposite are perfectly parallel.
To find AD, all you need to do is look to the opposite line, BC. Since This is a parallelogram, AD = BC, so AD is 8.
To find DC, you do the exact same. Find the opposite line that it is parallel to, in this case that's AB, and since AB = DC, you know that DC = 15.
To find m∠A, let's look at m∠D. Since m∠D = is 68°, We can use that knowledge to find m∠A. Since the two angles are right beside each other on the same line, together they would equal 180° if you added them up. But since you don't know what m∠A is, you just have to subtract 68 from 180.
180 - 68 = 112.
To find m∠B, We simply look back to m∠D. Since m∠B is directly opposite to m∠D, That means they have the same value, 68°.
And finally, to find m∠C, we do the same thing we did to find m∠B. m∠C is directly across from m∠A - we have already found m∠A, and we know that it is 112°. Therefore, m∠C is 112° as well.
