please help i need this done by the next hour and i’m failing and struggling
3. The sector of a circle is shown below. It has a radius of 10 centimeters and a central
angle of 51 degrees. Find to the nearest tenth in both cases:
(a) the length of AB in centimeters(b) the area of the sector in square centimeters
1. An arc has a central angle of 1.8 radians and a radius of 20 inches. a. Determine the length of AB in inches
b. to the nearest degree what is the measure of
Answers
Answer:
Question 3)
[tex]\stackrel{\frown}{AC}=36\text{ inches}[/tex]
[tex]\angle BCA\approx103^\circ[/tex]
Question 1)
[tex]\stackrel{\frown}{AB}\approx 8.9\text{ cm}\\[/tex]
[tex]A\approx44.5\text{ cm}^2[/tex]
Step-by-step explanation:
Question 3)
We are given that the central angle is 1.8 radians and has a radius of 20 inches.
Part A)
The formula for arc length in terms of radians is given by:
[tex]s=r\theta[/tex]
Where s is the arc length, r is the radius, and θ is the angle in radians.
In this case, r is 20 and θ is 1.8. Hence, the arc length is:
[tex]\stackrel{\frown}{AC}=(20)(1.8)=36\text{ inches}[/tex]
Part B)
∠BCA is the central angle that measures 1.8 radians.
We can convert radians to degrees using the following formula:
[tex]\displaystyle d=\theta\cdot\frac{180^\circ}{\pi}[/tex]
Where d is the measure in degrees, and θ is the measure in radians.
Therefore:
[tex]\displaystyle d=1.8\cdot\frac{180^\circ}{\pi}\approx103.1324\approx103^\circ[/tex]
Question 1)*
Part A)
We will use the arc length formula in degrees given by:
[tex]\displaystyle s=2\pi r\cdot \frac{\theta^\circ}{360}[/tex]
Where r is the radius and θ is the angle measured in degrees.
We have a radius of 10 centimeters and a central angle of 51°. Therefore, our arc length is:
[tex]\displaystyle \stackrel{\frown}{AB}=2\pi(10)\cdot\frac{51}{360}=20\pi\cdot\frac{51}{360}\approx8.9\text{ cm}[/tex]
Part B)
We will use the formula for the area of a sector in degrees given by:
[tex]\displaystyle A=\pi r^2\cdot\frac{\theta^\circ}{360}[/tex]
So, we will substitute 10 for r and 51 for θ. Hence, the area of the sector is:
[tex]\displaystyle A=\pi (10)^2\cdot \frac{51}{360}=100\pi\cdot\frac{51}{360}\approx44.5\text{ cm}^2[/tex]
*Notes:
For this question, it is possible and completely fine for us to convert 51° to radians and then use the formulas in terms of radians.
Answer:
(1). 36 inch. , 103° ; (2). 8.9 cm , 44.5 cm² ;
Step-by-step explanation:
1).
(b). m∠BCA = 1.8 rad. × [tex]\frac{180}{\pi }[/tex] ≈ 103° ( π ≈ [tex]\frac{22}{7}[/tex] )
(a). C = 2 π r , the length of arc AB = ( 2 × [tex]\frac{22}{7}[/tex] × 20 ) ÷ 360° × 103.132° ≈ 36 inches
3).
(a). The length of arc AB = ( 2 × [tex]\frac{22}{7}[/tex] × 10 ) ÷ 360° × 51° ≈ 8.9 cm
(b). A = π r² , the area of the sector = ( [tex]\frac{22}{7}[/tex] × 10² ) ÷ 360° × 51° ≈ 44.5 cm²
Related Questions
diamter of a cirlce is 10 feet find its area in terms of pie
Answers
Answer:
25pi
Step-by-step explanation:
Area = pi(r)^2
if diameter is 10 then r = 5
Answer:
25π
Step-by-step explanation:
The radius is half of the diameter. 10/2 = 5 so the radius is 5
The formula for area of a circle is: π[tex]r^{2}[/tex]
[tex]5^{2}[/tex] × π =
25 × π =
25π
If the scale factor of Figure A to Figure B is
3:8, find the value of x
Answers
We have been given that two figures. The scale factor of Figure A to Figure B is 3:8. We are asked to find the value of x.
We will use proportions to solve our given problem.
Figure A/Figure B=3/8
Upon substituting the ratio between Figure A and Figure B, we will get:
3/8=×/24
3/8•24=×/24•24
3/1•3=×
9=×
Therefore, the value of x is 9.
What is true about the domain and range of the function?
A.The domain is all real numbers less than or equal to 4 and the
range is all real numbers such that -3 SS1
B. The doman is alrerumbers such thes-35251 and the
range is real numbers less than or equal to
c. The domain is alreal numbers, and the range is a real
numbers less than or equal to 4
D. The domains all real numbers less than or equal to 4 and the
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Answer:
We are all smart but we do st*Upid things. very st*Upid things.
Step-by-step explanation:
NEED HELP ASAP!!!!!!!!
Answers
Answer:
x = 2.4
y = 31
Step-by-step explanation:
Angle B = 25x
BC = 31
therefore , this is an equilateral triangle all sides and angles are equal,
25x =60
x = 2.4
BC = BA = AC
y= 31
help me please and thank you
Answers
Answer:
4 dollars per pint. You can 0.25 pint per dollar. For 20 dollars
u can get 5 pints. 8 pints will be 32 dollars.
Answer:
Per pint is $4
You get a .25 pint for 1 dollar
You get 5 pints for $20
It cost $32 for 8 pints of raspberries
Step-by-step explanation:
Once you find the unit rate you can multiply and divide depending on the question.
Someone please help with this question!
A bakery used 475 pounds of apples to make 1,000 apple tarts. Each tart contains the same amount of apples. How many apples are used in each tart?
Answers
Answer:
There are 0.475 pounds of apples in each tart.
I arrived in this number by dividing the total number of pounds by the total number of tarts made.
475 pounds divided by 1000 tarts is equal to 0.475 pounds per tart.
475 lbs/1000 tarts = 0.475 lbs/tart
So, if you are to bake a certain number of tarts and need to know the total number of pounds of apple needed to bake you can use this equation.
y = 0.475x
where y represents the total number of pounds needed to bake x number of tarts with a fixed 0.475 pounds per tart.
Step-by-step explanation:
Help me ASAP pls with this
Answers
Answer:-15,20
Step-by-step explanation:
a car dealer so 32 cars their first month The next month they sell 54 cars What is the percentage of change in the number of sold cars
Answers
Answer:
68.75%
Step-by-step explanation:
First you do 54 - 32 to get 22.
Then you divide 22 by 32 to get the decimal 0.6875
Finally, you multiply 0.6875 by 100 to get 68.75% :D
Answer:
68.73% more cars were sold
Step-by-step explanation:
from 32 cars that represented 100% went to 54 so is a diference of 54-32=22
Now what percentage of 32 is 22?
32 is 100%
22 is x%
x=(22*100)/32=2200/32=68.73%
Delvin is 14 years old. His age is 2 times his brothers age plus 6. Write an
equation then solve to find the value of b, Delvin's brothers age. *
2b - 6 = 14b = 10
2b + 6 = 14 b = 4
2b - 14 = 6 b = 10
Answers
Answer:
2b+6=14, b=4
Step-by-step explanation:
maths
A dog lost 2 pounds three weeks in a row. What integer expresses the total change in the dogs weight
Answers
Answer:
-6 is the integer
Step-by-step explanation:
Is y=2x+3 proportional
Answers
Answer:
no
Step-by-step explanation:
I calculated
No because something proportional can't have a y-intercept, the 3 is the y intercept so your statement is not proportional.
solve the proportion 4/(x+1) = 3/(x+2)
Answers
Answer:
x = -5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
4/(x + 1) = 3/(x + 2)
Step 2: Solve for x
Cross multiply: 4(x + 2) = 3(x + 1)Distribute: 4x + 8 = 3x + 3Subtract 3x on both sides: x + 8 = 3Subtract 8 on both sides: x = -5Answer:
to solve a proportion, you cross multiply. so you take the numerator of the first one, and multiply it by the denominator of the second one. and then the denominator of the first one is multiplied by the numerator of the second one:
4(x+2)=3(x+1) (set them = and then use the distributive property)
4x+8 = 3x+3 (subtract 3x from both sides)
x +8 = 3 (subtract 8 from both sides)
x= -5 (the answer)
Rose plz. give me chance to explain
Answers
Answer:
who is Rose
Step-by-step explanation:
What is the relationship between the ratios?
10/24 and 5/12 please help i give 10 points its middle school mathematics i don't know why it says high school
Answers
Given:
[tex]\dfrac{10}{24}[/tex] and [tex]\dfrac{5}{12}[/tex].
To find:
The relationship between the ratios.
Solution:
We have, two ratios in the fraction form.
[tex]\dfrac{10}{24}[/tex] and [tex]\dfrac{5}{12}[/tex]
First ratio = [tex]\dfrac{10}{24}[/tex]
= [tex]\dfrac{2\times 5}{2\times 12}[/tex]
=[tex]\dfrac{5}{12}[/tex] (Cancel out the common factors)
First ratio = Second ratio
Since, the both ratios are equal to each other, therefore, the given ratios are equivalent ratios.
help me out please :(
Answers
Answer:
45 ft i think im not sure sorry if im wrong
Step-by-step explanation:
express the scientific notation:4830000000 with all formula
Answers
Answer:
4.83 * 10^9
Step-by-step explanation:
Here, we want to express the given number in scientific notation
What we have to do here is to place the decimal number at the back of the first non zero number
The first non zero number is 4
So
let us count the number of digits after the first non zero number
That will be 9
So we make this the power of 10
And our answer will be;
4.83 *10^9
Identify the two rational numbers.
O A. 1.01
O B. 57
O c.
- 2 /
O D. 1.010010001...
Answers
Answer: A. 1.01 Same as 1 1/100 fractions are rational
B. 57 Integers are rational. (Invisible implied denominator is 1)
Step-by-step explanation: c might be, but the denominator is not specified-- or maybe / is supposed to mean square root. So probably not.
D. NO, non-repeating decimal numbers are irrational
The plane traveled 50 miles per hour. What is the distance the plane traveled in 4 hours? plz help asap due in 2 minutes
Answers
Answer:
200 miles in 4 hours hope this helps and u get it in on time
Pls help me on this
Answers
Answer:
1753
Step-by-step explanation:
Charlie runs each lap in 6 minutes. He will run at most 42 minutes today. What are the possible numbers of laps he will run today?
Use n for the number of laps he will run today.
Write your answer as an inequality solved for n.
Answers
Answer:
n<=7 (less than or equal to)
Step-by-step explanation:
42/6=7, so 7 is the max number of laps he will run.
There are 20 blue marbles and 10 red marbles in a bag .if a marble is drawn at random once ,what is the probability that it will be blue
Answers
Answer:
2/3
Step-by-step explanation:
First, you figure out how many marbles are in total, which is the denominator. The total number of marbles is 30.
Then, you figure out how many marbles are blue, which is the numerator. There are 20 blue marbles.
Finally, you simplify the fraction. 20/30=2/3.
Answer:
75% i think
Step-by-step explanation:
The bake sale sold pies for $5.99 each and cakes for $9.99 each. The total number of pies and cakes sold was 25 for $189.75. How many pies were sold? How many cakes were sold?
Answers
Answer:
15 pies sold and 10 cakes sold.
Step-by-step explanation:
Let p be the number of pies sold. So, the number of cakes sold is 25-p.
5.99p + 9.99(25-p) = 189.75
5.99p + 249.75 - 9.99p = 189.75
4p = 60
p = 15
25 - p = 10
If V= 12.8 when P= 500, determine the constant of variation
Answers
Answer: 12.8 × 500 =k
6400=k
Step-by-step explanation:
What property justifies line 2 to line 3? 4 – 3x2 + 2x – x2 + 3 + x2 Line 1 4 + 3– x2 + x2 – 3x2 + 2x Line 2 7– x2 + x2 – 3x2 + 2x Line 3 7 + 0 – 3x2 + 2x Line 4 7 – 3x2 + 2x
Answers
Given:
The steps of simplification of the expression.
[tex]4-3x^2+2x-x^2+3+x^2[/tex]
To find:
The properties to justify the line 2 and line 3.
Solution:
We have,
[tex]4-3x^2+2x-x^2+3+x^2[/tex]
Line 1: [tex]4+3-x^2+x^2-3x^2+2x[/tex] (Rearranging the terms)
Line 2: [tex]7-x^2+x^2-3x^2+2x[/tex] (Combining the constant terms)
Line 3: [tex]7+0-3x^2+2x[/tex] (Additive inverse property)
Line 4: [tex]7-3x^2+2x[/tex] (Additive identity property)
Therefore, the justifications of Line 2 and Line 3 are combining the constant terms and additive inverse property respectively.
The sum of the digits of a two digit number is 10. If 36 is subtracted from the number, the digit interchange their places Find the number
Answers
Step-by-step explanation:
Let A be the tens digit of the number and B be the ones digit.
We have A + B = 10 and 10A + B - 36 = 10B + A.
=> A + B = 10 and 9A - 36 = 9B
=> A + B = 10 and A - 4 = B
=> A + B = 10 and A - B = 4
Therefore 2A = 10 + 4 = 14,
A = 7 and B = 10 - 7 = 3.
Hence the number is 73.
Will give crown thanks
Answers
Answer:
A is right
B is acute
C is obtuse
D is right
Step-by-step explanation:
90 is right
anything under 90 is acute
over 90 obtuse
Answer:
∠A: Right Angle.
∠B: Acute Angle.
∠C: Obtuse Angle.
∠D: Right Angle.
I hope this helped you
$10,000 down payment for your house if you can invest 2% of your monthly income (yearly income: $67,705) into an account that earns 4% quarterly. Also what is the formula for this? Is it compounded quarterly?
Answers
Answer:
the future value of each deposit = ($67,705 x 1/12 x 0.02) x (1 + 1%)ⁿ = $112.84 x 1.01ⁿ
where n = number of quarters (interest is compounded quarterly)
the effective interest = 1.01⁴ - 1 = 4.06%
Assuming that you are going to make monthly payments, then you would need the number of quarters (n) in order to determine the future value. Since the interest is compounded quarterly, each contribution = $112.84 x 3 = $338.52
For example, if you are planning to save money for 5 years (n = 5 x 4 = 20), then the future value of the investment = $338.52 x 22.019 (FV annuity factor, 1%, 20 periods) = $7,453.87
if you want to calculate the total number of contributions (n):
FV annuity factor, 1%, n? = future value / contribution = $10,000 / $338.52 = 29.5404
since you know the interest rate (1%) you have to look at a future value annuity table and search the n for 29.54. This is approximately 26 periods (FV annuity factor = 29.53).
A=7.5
B=30
C=15 square of 2
D= 15
Answers
I think the awnser is B=30
At science camp, the kitchen served half of their blueberries with breakfast. After dinner, they put the remaining 5{,}270 \text{ g}5,270 g5, comma, 270, start text, space, g, end text of berries on top of their ice cream dessert. How many kilograms of blueberries did the science camp start with?
Answers
Answer:
10.54 kg
Step-by-step explanation:
Given that :
Half of blueberries is served with breakfast
The remaining 5270g is served with dinner
How many kilograms of blueberries did the science camp start with :
Total grams of blue berries :
(Grams served at breakfast + grams served at dinner)
Let total blueberries = x
x/2 + 5270 = x
(x + 10540) /2 = x
x + 10540 = 2x
10540 = 2x - x
x = 10540 grams
Amount of kilograms science camp started with = (10540) / 1000 = 10.54 kg
What is 1% of 70?
1.4
0.8
0.7
0.9
Answers
Answer:
0.7 is the answer to your question
Answer:
0.7
Step-by-step explanation:
' Of ' almost always means multiplication, so the problem is 7% * 70.
This means 0.07 * 70 ( 7% = 0.07 ), and that is 0.7!
Hope this helped!