Answer:
The area of the circle is equal to [tex]9\pi[/tex].
Step-by-step explanation:
Given that,
The area of sector is, [tex]\dfrac{17}{2}\pi[/tex]
The central angle is [tex]\dfrac{17}{9}\pi[/tex]
We need to find the area of circle.
We know that,
[tex]\text{Area of sector}=\dfrac{\text{central angle}}{2\pi}\times \text{Area of circle}\\\\\text{Area of circle}=\dfrac{2\pi \times \text{Area of sector}}{\text{central angle}}\\\\=\dfrac{2\pi \times \dfrac{17\pi}{2}}{\dfrac{17\pi }{9}}\\\\=9\pi[/tex]
So, the area of the circle is equal to [tex]9\pi[/tex].
A shot put throwing area is composed of a throwing circle and a sector of a larger concentric circle. The standard measurements for the diameter of the throwing circle, the radius of the sector, and the central angle of the sector are shown in the diagram below. What is the area of the composite figure? Use a problem-solving model. No answer provided . 193.69 b. 190.36 C 3.58 d. 181.21
Answer:
193.69
Step-by-step explanation:
Edward took a survey of his classmates to see how many pets each student has. The dot plot shows the results of his survey ll. 0 1 2 3 4 Number of Pets Part A How many people did Edward survey? Part B What is the mean number of pets?
Answer:
i. 5 people
ii. Mean number of pets = 2
Step-by-step explanation:
i. From the information given in the question, the number of people surveyed by Edward is 5.
The first person has no pet, the second has 1 pet, the third has 2 pets, the fourth has 3 pets and the fifth has 4 pets.
ii. The mean number of pets is the average number of pets among the people.
The mean number of pets = [tex]\frac{sum of the number of pets}{number of people}[/tex]
= [tex]\frac{0 + 1 + 2 + 3 + 4}{5}[/tex]
= [tex]\frac{10}{5}[/tex]
mean number of pets = 2
The mean number of pets is 2.
please i need help with the answers this is due later on today
Answer:
384, 216, 290, 192, 384
1446, 1 roll
Step-by-step explanation:
For rectangular boxes, calculate the sum of each side, then multiply it by two.
Box 1: 2(18 x 5) + 2(18 x 4) + 2(5 x 4) = 364
Box 3: 2(11 x 8) + 2(8 x 3) + 2(3 x 11) = 290
Box 5 is a cube (all sides equal), so you can find 1 side's area and multiply it by 6.
Box 5: 6(8 x 8) = 384
For triangular boxes, calculate the edges, then find the triangular area using area = 0.5(base x height).
Box 2: (15 x 3) + (9 x 3) + (12 x 3) + 2(0.5)(9 x 12) = 216
Box 4: 2(13 x 2) + (10 x 2) + 2(0.5)(10 x 12) = 192
Total: 364 + 290 + 384 + 216 + 192 = 1446
Rolls of wrapping paper:
Area of 1 roll = 30 x 60 = 1800
Since 1446 is less than 1800, you only need 1 roll of wrapping paper.
Explain how to factor the following:
16x^2 – 40x – 24
Answer: (x-3)(2x+1)(8)
Step-by-step explanation: First factor out the 8 to get (8)(2x^2-5x-3). So now we have what number multiply out to -6 (ab) and add up to -5. -2 and -3 work out so we manipulate the equation like (8)(2x²-2x-3x-3). Factor out 2x in the first term and -3 in the second and keep going.
A factory made 100 packs of gum. 80% of the packs contained mint-flavored gum. How many packs of mint gum did the factory make?
Answer:
80 packs
Step-by-step explanation:
Find 80% of 100 which is 80
Answer:
80
Step-by-step explanation:
100 x 0.8 (the percentage) = 80
Given the function f(x) = 0.65x + 117, what
s the x-value of the zero?
Answer:
x = -180
Step-by-step explanation:
0 = 0.65x + 117
-117 = 65x/100
cross-multiply to solve for 'x':
65x = -11700
x = -11700/65
x = -180
Write each ratio in simplest terms.
a) There were 10 pizzas for 15 people.
c) There are 20 quarters in $5.00.
e) There were 12 doughnuts for 6 people.
g) There are 40 dimes in $4.00.
i) There are 600 s in 10 min.
b) There are 72 h in 3 days.
d) At the banquet 40 people sat at 5 tables.
f) There are 60 girls for every 80 boys.
h) There are 500 cm in 5 m.
j) There are 60 nickels in $3.00.
a) 2:3
c) 4:1
e) 2:1
g) 10:1
i) 60:1
b) 24: 1
d) 8:1
f) 3:4
h) 100:1
j) 20:1
Step-by-step explanation:
a) 10:15 then divide each by 5 bc its a common denominator
c) 20:5 then divide each by 5 bc its a common denominator
e) 12:6 then divide each by 6 bc its a common denominator
g) 40:4 then divide each by 4 bc its a common denominator
i) 600:10 then divide each by 10 bc its a common denominator
b) 72:3 then divide each by 3 bc its a common denominator
d) 40:5 then divide each by 5 bc its a common denominator
f) 60:80 then divide each by 20 bc its a common denominator
h) 500:5 then divide each by 5 bc its a common denominator
j) 60:3 then divide each by 3 bc its a common denominator
A person can pay $11 for a membership to the history museum and then go to the museum
for just $1 per visit. What is the maximum number of visits a member of the history
museum can make for a total cost of $100?
Answer:
89 if you pay 11$ to go to the museum for Justin 1$
Step-by-step explanation:
100 - 11 = 89.
2. Find the surface area of the cone in terms of pi.
A. 33pi ft
B. 60pi ft
C. 53pi ft
D. 47pi ft
Answer:
I think the answer is C. 53pi ft
Step-by-step explanation:
If you are given the hypotenuse and an adjacent
side, which trig function should you use?
Answer:
cosine
Step-by-step explanation:
Answer:
cosine
Step-by-step explanation:
cosine = adjacent / hypotenuse
?????? Cos ?? I don’t know the difference between cos and tan fully yet , but ASAP help here
The answer is M
Step-by-step explanation:
Cosine: this is the length of the side right next to the angle divided by the longest side/ hypotenuse.
Tan: this is the length of the side opposite of the angle divided by the side directly adjacent/ next to the angle.
In this case, cosine would be 6/10 which Is also 3/5. the angle right next to 6 is Angle M
What are the values for X-ray satisfy the equation
X^2 - 5(x) - 14 = 0
A. -2 and 9
B. -2 and -9
C. 2
D. 2 and -7
E. -2 and 7
Answer:
It's D
Step-by-step explanation:
you just look at the end it's says -14. u have to see what numbers should multiply in order to get negative 14, you can use -2 and 7, or -7 and 2, but you have to see what numbers from the -14 will add up -5 because u have five in there, therfore -7+2 equals -5.* This only happens if you have 1 behind the x^2.
Si los dos triángulos ABC y DFE son proporcionales, ¿Cuál será la longitud del lado DE del triángulo DFE?
Answer:
La respuesta esta abajo
Step-by-step explanation:
Un triángulo es un polígono con tres lados y tres ángulos.
Se dice que dos triángulos son proporcionales si la razón de sus lados correspondientes está en la misma proporción.
de la pregunta, el lado AB es proporcional a DF, AC es proporcional a DE y BC es proporcional a FE
Por lo tanto, dado que ambos triángulos son proporcionales, entonces:
DE / DF = AC / AB
x / 10 = 21/15
x = (21/15) * 10 = 14
What is the surface area of this figure?
Answer:
800 cm squared
Step-by-step explanation:
10 x 15 x 4 = 600 + 10 x 10 x 2 = 200
600 + 200 = 800
Solve the problem.
The locations, given in polar coordinates, of two ships are (7 mi, 44°) and (8 mi, 104°). Find the
distance between the two ships.
A=3601 mi
B=10.63 mi
C=7.55 mi
D=4.00 mi
Please help me with this
Which option shows the measure of the unknown angle,x and how to find it
Answer:
E) 37
Step-by-step explanation:
The total measurement for the angle ABC is 90 as it is a right angle.
Add your known angles together and substract from 90 to get your unknown.
90 - 21 - 32 = 37
Answer:
E. Subtract 21 and 32 from 90, x=37
Step-by-step explanation:
Since there are 90 degrees in a right angle, we can find the missing angle by adding the two angles we have together and then subtracting the sum from 90.
Which of the following lists is in order from least to greatest?
A. -2, 5, 4, 3^2
B. -2, 4, 3^2,5
C. 5,4, 3^2, -2
D. -2, 3^2, 4, 5
Answer:
Are you sure the question is right?
Help me pookie dookie
Answer:
1/4
Step-by-step explanation:
poooooooooooooooooooooooooooooooooooookie doooooooooooooooooooooooooooooooookie
A science club chose to test the pH balance of different foods. They measured the pH balance of 7 different foods and arranged their data from least to greatest. The pH balances were 2, 3, 4, 5, 6, 7, and 8. The mean pH balance of the foods measured was 5.
What is the MAD (mean absolute deviation) rounded to the nearest tenth?
0.7
1.7
2.4
2.0
Answer:
2.4 hope this helps u...
SOMEONE PLEASE HELP ME !! THANK YOU
answer has to be in simplest radical form!
find v
What is the value of h(−3) when h(x)= 6x2 − 2x + 12?
72
342
48
−36
−306
Step-by-step explanation:
h(-3)=6×2 - 2(-3) + 12
12+6+12
=30
help I don’t know the answer
Solve for the missing side. Your answer should be in simplest radical form.
HELPP ME ASAP PLS ):
Answer:
4√4123
Step-by-step explanation:
Alexis is trying to run a certain number of miles by the end of the month. If Alexis is 40% of the way to achieving her goal and she has already run 12 miles, how many miles is she trying to run by the end of the month?
can you help me with this please
Answer:
part a is a and c
part b is sine
Step-by-step explanation:
I hope this helped :)
what is the answer
?
In 2 hours, the train will cover 120 miles, in 4 hours, the train will cover 240 miles. The train covered 120 more miles in 4 hours than it did in 2 hours.
i need help plzzzzzzzzzzzzzzzzzz what is 1/3(250)25.4=??????
Answer:
2116.6_
Step-by-step explanation:
can someone answer this w²+7w-18
Answer:
Using the "AC Method" I got (w - 2) (w + 9)
Step-by-step explanation:
Answer:
(w−2)(w+ 9)
Step-by-step explanation:
Grouping
Step 1:
Use the sum-product pattern
w² + 7 − 18
w² + 9 − 2 −18
Step 2:
Common factor from the two pairs
w²+ 9 − 2 − 18w
( w+ 9) − 2( w+ 9)
Step 3:
Rewrite in factored form
(w + 9) − 2( w+ 9)
(w−2)(w+9)
Karen and her friends decided to have a water balloon fight! They got 20 water balloons and used 6 liters of water to fill them all equally. How much water was in each balloon?
Answer:
Amount of water in each balloon = 300 milliliter
Step-by-step explanation:
Given:
Amount of water used in balloon = 6 liter
Number of water balloon = 20 balloon
Find:
Amount of water in each balloon
Computation:
Amount of water used in balloon = 6 x 1000
Amount of water used in balloon = 6,000 milliliter
Amount of water in each balloon = Amount of water used in balloon / Number of water balloon
Amount of water in each balloon = 6,000 / 20
Amount of water in each balloon = 300 milliliter