Complete Question
A circle with a 32 inch diameter has a central angle that intercepts an arc measuring approximately 75.36 inches. Which option describes how to determine this angles measure in radians?
A. Divide 75.36 by 16
B. Divide 75.36 by 32
C. Divide 16 by 75.36
D. Divide 32 by 75.36
Answer:
A. Divide 75.36 by 16
Step-by-step explanation:
The formula for Arc length is given as:
S = r θ
Where S = arc length
r = radius
We are told that:
Diameter of a circle = 32 inches
Radius of a circle = Diameter/2
= 32/2 = 16
Arc Length = 75.36 centimeters
The formula for Central angle =
θ = Central angle
θ = S/r
= 75.36/16
Option A is correct
The correct answer is option A. which is Divide 75.36 by 16
What is a circle?
A circle is a two-dimensional geometry on the plane having a centre point and the circular line is drawn equidistant from the centre point.
The formula for Arc length is given as:
S = r θ
Where S = arc length
r = radius
We are told that:
Diameter of a circle = 32 inches
The radius of a circle = Diameter/2
r = 32/2 = 16
Arc Length = 75.36 centimeters
The formula for Central angle =
θ = Central angle
θ = S/r
θ= 75.36/16
Therefore the correct answer is option A. which is Divide 75.36 by 16
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The price of your favorite brand of jeans was $35 last month. This month the price is discounted by 15%. What is the current price of the jeans?
Answer:
5.25
Step-by-step explanation:
15% × 35 =
(15 ÷ 100) × 35 =
(15 × 35) ÷ 100 =
525 ÷ 100 =
5.25
Beth purchased 7 sandwiches and spent a total of $43.75. If each sandwich was the same price, what was the cost per sandwich?
Answer:
6.25 dont fake ur grade plz
Step-by-step explanation:
The confidence associated with an interval estimate is called the: Group of answer choices significance precision none of these answers is correct confidence level degree of association
Answer:
The answer is "confidence interval".
Step-by-step explanation:
The trust period is a set of values that may include confidence intervals unspecified. Whenever a representative selection is collected numerous times, its sample parameter would be a certain percentage of its confidence intervals. It shows how likely the position of a statistical parameter will be estimated.
Anne has an aquarium in the shape of a rectangular prism that measures 10 in. By 20 in. By 10 in. How many cubic inches of water can the aquarium hold?
Answer:
[tex]Volume = 2000\ in^3[/tex]
Step-by-step explanation:
Given
Dimension: 10in by 20in by 10in
Required
Determine the capacity of the aquarium
This question implies that, we calculate the volume of the prism and this is calculated by multiplying the dimensions of the aquarium. i.e.
[tex]Volume = Length * Width * Height[/tex]
Substitute values for the dimensions
[tex]Volume = 10 * 20 * 10[/tex]
[tex]Volume = 2000\ in^3[/tex]
Hence, the volume of the aquarium is 2000 cubic inches
i have to mins john made some brownies to share equllay among himself and 7 friends what fraction of brownie can each person have?
Answer:
They each get 1/8 of the brownie
Step-by-step explanation:
Hurry up! don't want you getting a zero!
130 divided by 2.5 equals show work
Answer: 52
Step-by-step explanation: use the calculator lol
Answer:
52
Step-by-step explanation:
Need help it due right now at 2:00pm please help me please will mark the brainiest please
Answer:
X=2
Step-by-step explanation:
-2x+10=12-3x
-2x+3x=12-10
X=2
number 4
solve for x
Answer:
D
Step-by-step explanation:
7x+12+40=11x+6
7x+52=11x+6
48=4x
12=x
Answer:
12
Step-by-step explanation:
(11x + 6)° = (7x + 14)° + 40°
11x + 6 = 7x + 14 + 40
4x = 48
x = 12
How many oz. of a metal containing 40%
gold must be combined with 7 oz. of a
metal containing 90% gold to form an
alloy containing 75% gold?
Answer:
3 oz
Step-by-step explanation:
Let x represent the number of oz. of the medal with 40% gold:
Set up an equation and solve for x:
0.4x + 7(0.9) = 0.75(x + 7)
0.4x + 6.3 = 0.75x + 5.25
6.3 = 0.35x + 5.25
1.05 = 0.35x
3 = x
So, you will need 3 oz. of the metal with 40% gold
Example
Shama has 1000 shares of par value Rs. 10 each of a company and 200 debentures of par value Rs. 100 each. The company pays an annual dividend of 10% and aninterest of 15% on debentures. Find the total income of Shama and rate of return on her investment
Answer:
are u indian ¿
:).... ........ :)
find the lcm of 24,34,30 and 36
A blueprint of a house has a scale of 1 in ; 6ft. The living room has a dimension of 18 ft by 24 feet. What are the dimensions on the blueprint of the living room.
Answer:
3 in by 4 in
Step-by-step explanation:
The blueprint scale is 1 in : 6 ft
This means
1 in : 72 in
1 : 72
For the living room
18 ft by 24 ft can be written as : 18/6 by 24/6
3 in by 4 in -------- units in inches where 1 in : 6 ft
Answer:
The answer is 18 x 24
Step-by-step explanation:
If books cost $5 each how much will 6 books cost in all?
Answer:
30 dollars
Step-by-step explanation:
multiply 5 by 6 and its 30
Scissor 1,2,3, or 4. Please Help!!!
Translate the sentence into an inequality.
The sum of 7 and w is greater than 21.
?
Answer:
[tex]7+w \ge 21[/tex]
remove the line under the arrow
Answer:
w>14
Step-by-step explanation:
"sum" means adding together. So, the sum of 7 and w would be 7+w. The equation states that this sum is greater than 21, so:
7+w>21
if you want a simplified version, subtract 7 from both sides to get w>14
In ∆ABC below, AD, BE, and CF are medians that intersect at G. If CG=8x and CF=9x+6, what is the value of x?
Answer:
Step-by-step explanation:
CG = [tex]\frac{2}{3}[/tex] CF
8x = [tex]\frac{2}{3}[/tex] (9x + 6)
8x = 6x + 4
2x = 4
x = 2
4. The owner of a music store received a shipment of
stereos at a cost of $160.00 each. What will the selling
price be if he applies a 45% markup?
Answer:
232.00 hahshdoejnchbw
Solve each system of equations algebraically x-y=6 y=-1
Answer:
x-(-1)=6
-x=6
-x/-1 6/-1
x=-6
Answer:
Therefore, the solution of the system of equations will be:
[tex]x=5,\:y=-1[/tex]
Step-by-step explanation:
Given the system of equations
[tex]x-y=6;\:y=-1[/tex]
solving
[tex]\begin{bmatrix}x-y=6\\ y=-1\end{bmatrix}[/tex]
[tex]\mathrm{Subsititute\:}y=-1[/tex]
[tex]\begin{bmatrix}x-\left(-1\right)=6\end{bmatrix}[/tex]
[tex]\begin{bmatrix}x+1=6\end{bmatrix}[/tex]
Isolate x for [tex]x+1=6[/tex]
[tex]x+1=6[/tex]
[tex]x=5[/tex]
Therefore, the solution of the system of equations will be:
[tex]x=5,\:y=-1[/tex]
3. In the expression 362 + 6, what will be the place value of the first digit of the quotient?
A. It will be the tens place because 6 is less than 3.
B. It will be the tens place because 6 is greater than 3.
O
C. It will be the hundreds place because 6 is less than 3.
d
D. It will be the hundreds place because 6 is greater than 3.
Answer:
B. It will be the tens place because 6 is greater than 3.
Step-by-step explanation:
Since the question said "quotient," then I believe we have 362 ÷ 6 and not "362 + 6."
If we work on the quotient we have
[tex]60\frac{1}{3}[/tex]
Obviously, the first digit in the quotient is 6 and it takes the place of tens.
Looking at the options, option B fits the most because 6 is actually greater than 3.
Therefore, the answer is option B, It will be the tens place because 6 is greater than 3.
Tina can walk 2000 meters in 50 minutes. What is the unit rate?
Answer:
divide
50 divided by 2000
Step-by-step explanation:
Answer:
40 meters per minute
Step-by-step explanation:
Hi please help me the pic is up there
Answer:
4p^3 (4p + 1)
Step-by-step explanation:
All we can do with this equation is factor it.
16p^4 + 4p^3
When we look at the coefficients, there is a common factor of 4 with 16 and 4. The p's are also common factors, and we can take out a common factor of x^3. We can combine these common factors and take them out of the equation at the same time.
4p^3 (4p + 1)
Find the area of a rectangle that is 3 3/4 inches long by 2 1/4 inches wide
Answer:
8.4375
Step-by-step explanation:
multiply the sides by eachother
it helps me to translate it to decimal format :)
Find the equivalent to this fraction with the denominator 100
Answer:
No
Step-by-step explanat
A civic group is selling bumper stickers as a fundraiser. During the first week, they sold 500 bumper stickers. During the second week, they sold 50% more bumper stickers than the first week. During the third week, they sold 50% fewer bumper stickers than the second week.
Explain how you can use proportions to find the percent decrease from the first weeks' sales to the third weeks' sales. Your explanation must include the math you did to determine this. If you do not include the math and it make sense you will not get credit for this question.
Answer:
The third week they sold $375 in bumper stickers
Step-by-step explanation:
Proportions and Percentages
During the first week, the civic group sold 500 bumper stickers as a fundraiser.
During the second week. they sold 50% more bumper stickers than the first week. First, we calculate the increment of 50% of 500:
50% 500 = 50 * 500 / 100 = 250
Thus the second week they sold:
500 + 250 = 750 bumper stickers
Now we know the third week they sold 50% fewer than the second week.
Again, we calculate the 50%, but this time on the basis of 750, and not 500 bumper stickers:
50% 750 = 50 * 750 / 100 = 375
Thus the third week they sold:
$750 - $375 = $375
The third week they sold $375 in bumper stickers
Answer:
Step-by-step explanation:
hehehehdhdnenwne
does the data represent a negative, positive, or no correlation
Answer:
Positive
Step-by-step explanation:
On Friday, a local hamburger shop sold a combined total of 390 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Friday?
Answer:
There were 130 hamburgers sold on Friday
Step-by-step explanation:
Assume that the number of hamburgers sold is x
∵ The number hamburgers sold = x
∵ The number of cheeseburgers sold was two times the number of
hamburgers sold
∴ The number of cheeseburgers sold = 2x
∵ On Friday, the shop sold a combined total of 390 hamburgers and
cheeseburgers
→ Add x and 2x, then equate the sum by 390
∴ x + 2x = 390
→ Add the like terms
∴ 3x = 390
→ Divide both sides by 3
∵ [tex]\frac{3x}{3}[/tex] = [tex]\frac{390}{3}[/tex]
∴ x = 130
∵ x represents the number of hamburgers
∴ There were 130 hamburgers sold on Friday
simply 3pq+5pr-2qr+qp-6rp
Answer:
The answer is 4pq−pr−2qr
Jeff walks 3 1/2 miles in 3/4 hour. in 1 1/4 hours, Loralee walks 6 3/4 miles. who walks faster. Jeff
3 1/2 ÷ 3/4 =7/2÷___ Loralee. 6 3/4 ÷ 1 1/4= 27/4
Answer:
wait so it wants to know who walked faster?
Step-by-step explanation:
An ant travels at a constant rate of 30 cm every 2 minutes.
At what pace does the ant travel per centimeter?
Answer:
0.07
Step-by-step explanation:
Let S be the universal set, where: S = { 1 , 2 , 3 , ... , 18 , 19 , 20 } Let sets A , B , and C be subsets of S , where: Set A = { 1 , 6 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 18 , 19 , 20 } Set B = { 1 , 3 , 4 , 6 , 8 , 9 , 10 , 11 , 12 , 15 , 20 } Set C = { 3 , 6 , 7 , 8 , 9 , 10 , 11 , 13 , 14 , 17 } Find the number of elements in the set ( A ∪ B ∪ C ) n ( A ∪ B ∪ C ) = Find the number of elements in the set ( A ∩ B ∩ C ) n ( A ∩ B ∩ C ) =
Answer:
A B C=(6,10,11)2.A B C =(1,3,4,5,7,8,9,12,13,14......20)
The answer is:[tex]\to \bold{(A \cup B\cup C) \cap(A\cup B\cup C) = \bold{\{1,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20 \}} }\\\\\to \bold{(A \cap B\cap C) \cap(A \cap B \cap C)=\{6, 10, 11\}}[/tex]
Before giving the solution let discuss what is the universal set, Union, and intersection:
A universal set (typically represented by U) is a collection that has items from all the sets, with no elements being repeated.It specifies in general as a set of all items to be considered.It describes all the elements or objects, including the elements, of other collections.The union of two sets is a collection with all A or B components (possibly both).The intersection denotes the resulting set between such two sets, which contains all the common items.Following are the solution to the question:
Given:
Universal set [tex]\bold{ S = \{ 1 , 2 , 3 , ... , 18 , 19 , 20 \} }[/tex]
Let
[tex]\bold{A, B, C \subset S}[/tex] i.e.
[tex]\bold{A\subset S}\\\\\bold{B\subset S}\\\\\bold{C\subset S}\\\\[/tex]
Set [tex]\bold{A = \{ 1 , 6 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 18 , 19 , 20\}}[/tex]
Set [tex]\bold{B = \{ 1 , 3 , 4 , 6 , 8 , 9 , 10 , 11 , 12 , 15 , 20 \}}[/tex]
Set [tex]\bold{C = \{ 3 , 6 , 7 , 8 , 9 , 10 , 11 , 13 , 14 , 17 \}}[/tex]
Find:
[tex]\to \bold{(A \cup B\cup C) \cap(A\cup B\cup C) =?}\\\\\to \bold{(A \cap B\cap C) \cap(A \cap B \cap C)=?}[/tex]
Solution:
In [tex]\bold{(A \cup B\cup C) \cap(A\cup B\cup C)}:[/tex]
Calculating:
[tex]\bold{(A \cup B\cup C) }= \bold{\{1,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20 \}}[/tex]
In this question, the "[tex](A \cup B\cup C)[/tex]" value is equal to "[tex]\bold{\{1,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20 \}}[/tex]" that is 18 elements.
When we intersecting both sets that is[tex]\bold{(A \cup B\cup C) \cap(A\cup B\cup C)}[/tex] so, its value will be the same that is:
"[tex]\bold{\{1,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20 \}}[/tex]" .
In [tex]\bold{(A \cap B\cap C) \cap(A \cap B \cap C):}[/tex]
Calculating:
[tex]\bold{(A \cap B\cap C) }= \bold{\{6, 10, 11, \} }[/tex]
In this question, the "[tex]\bold{(A \cap B\cap C) }[/tex]" value is equal to "[tex]\bold{\{6, 10, 11 \} }[/tex]" that is 3 elements.
When we intersecting both sets that are [tex]\bold{(A \cap B\cap C) \cap(A \cap B \cap C):}[/tex] so, its value will be the same that is:
"[tex]\bold{\{6, 10, 11 \} }[/tex]".
So, the final answer is:[tex]\to \bold{(A \cup B\cup C) \cap(A\cup B\cup C) = \bold{\{1,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20 \}} }\\\\\to \bold{(A \cap B\cap C) \cap(A \cap B \cap C)=\{6, 10, 11\}}[/tex]Learn more:
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