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
HELP PLEASE AWARDING BRAINLIEST IF CORRECT
Answers
Answer:
y=1/4x+9
Step-by-step explanation:
x-4y=-36
add 4y to both sides to find x
x=4y−36
To find y=
add -x to both sides
−4y=−x−36
divide both sides by -4
y=mx+b
y=1/4x+9
Dan is driving from his hometown to California to Colorado for a ski vacation. The equation defines the distance he is from home h hours after noon. What are the meanings of the values in the equation?
y=70h+100
a. Dan is 100 miles from home at noon and is traveling at 70 miles per hour.
b. Dan is 70 miles from home at noon and is traveling at 100 miles per hour.
c. Dan leaves at 1:00 and is traveling at 70 miles per hour.
d. Dan leaves at noon and is traveling at 100 miles per hour.
Answers
Answer:
a. Dan is 100 miles from home at noon and is travelling at 70 miles per hour.
Step-by-step explanation:
Given
[tex]y = 70h + 100[/tex]
Required
Interpret
An equation has the form
[tex]y = mx + b[/tex]
Where
[tex]m = rate[/tex]
[tex]b = y\ intercept[/tex]
By comparison with [tex]y = 70h + 100[/tex]
[tex]m = 70[/tex]
i.e. He travels at 70 miles per hour
And
[tex]b = 100[/tex]
This represents the initial distance as at when he started travelling (12 noon)
i.e. At noon, he is 100 miles away from home
Answer:
A is the right answer.
Step-by-step explanation:
Can someone answer this for me ill give brainliest asap
Answers
Consider the rates 4/5 miles in 8 minutes and 4 minutes to travel 2/5 mile
Answers
Answer:
960
Step-by-step explanation:
I'm not sure exactly what's the question, but here's what I found. Lets first put it in our own words.
Consider the speed 4/5 miles in 12 minutes to travel 2/8.
8 + 4 = 12, so you can replace that with 12 minutes.
Now, you can absolutely guess your question.
Time = 12 minutes.
Distance = x (Let x be distance)
Speed = 4/5.
Now, you find distance.
Distance Formula: You can use the equivalent formula d = st which means distance equals rate times time.
So 4/5 × 12, is 9.6.
In fraction, if you have 1 numbers after the decimal point, multiply both numerator and denominator by 10. So 9.6 = (9.6 × 10) × 10 = 960.
Here is a pattern I found
2/5 divided by 4 is 1/10
4/5 divided by 8 is 1/10
If , we consider the given rates , we find that both rates are equivalent.
Two rates are given which are 4/5 miles in 8 minutes and 2/5 miles in 4 minutes.
We have to find out what they actually indicate.
What is the unitary method?
The unitary method is a method in which we find the value of a unit and then the value of the required number of units.
As per the question ;
Two rates are given which are ; 4/5 miles in 8 minutes and 2/5 miles in 4 minutes.
Let's find out what they are actually indicating.
So ;
If , distance travelled in 8 minutes = 4/5 miles
Then ;
In 1 minute , distance travelled will be ;
= [tex]\frac{4}{5*8}[/tex]
= [tex]\frac{4}{40}[/tex]
= 1 / 10 miles
and
If , distance travelled in 4 minutes = 2/5 miles
Then ;
In 1 minute , distance travelled will be ;
= [tex]\frac{2}{5*4}[/tex]
= [tex]\frac{2}{20}[/tex]
= 1 / 10 miles
So , we can conclude that both rates are equivalent.
Thus , if we , consider the given rates , we find that both rates are equivalent.
To learn more about unitary method click here ;
brainly.com/question/19423643
#SPJ2
Hakim Ellison wants to buy a 4 door sport utility vehicle 4 wheel drive hybrid. There is an 8% sales tax on the purchase price of the SUV in his state. If he pays the full sticker price for the SUV, how much is the total?
Answers
Answer: $60401.16
Step-by-step explanation:
From the attached image, the total price for the vehicle = $55,927.
If he were to pay the full sticker price for the SUV, the total would sum up to
= $55,927 + 8% sales tax
= $55,927 + 8/100( $55,927)
= $55,927 + 0.08($55,927)
= $55,927 + $4474.16
= $60401.16
The total would sum up to $60401.16
Please help me please!
Answers
Answer:
(2) 19
Step-by-step explanation:
[tex]2(3^x)+1[/tex][tex]2(3^2)+1[/tex][tex]2(9)+1[/tex][tex]18+1[/tex][tex]19[/tex]What is the slope of the line? (Linear equations and slope quiz I-ready)
Answers
Answer: 2
Step-by-step explanation:
The slope of the linear graph in the question obtained using the ratio of the rise and run of the line is 2.
Recall :
Slope = Rise / Run
From the graph :
Rise = y2 - y1 = 5 - (-1) = 5 + 1 = 6
Run = x2 - x1 = 2 - (-1) = 2 + 1 = 3
The slope of the graph can be expressed thus :
Slope = Rise / Run = 6 /3 = 2Therefore, the slope of the line in the graph attached is 2
Learn more :https://brainly.com/question/18405415
what is central and inscribed angle
Answers
Answer:
An inscribed angle is an angle formed by two chords in a circle which have a common endpoint. This common endpoint forms the vertex of the inscribed angle. The other two endpoints define what we call an intercepted arc on the circle. The intercepted arc might be thought of as the part of the circle which is "inside" the inscribed angle.
2 (x - 3) + x(x + 1)
Answers
Answer:
[tex]x^{2}[/tex] + 3 - 6
Step-by-step explanation:
Answer:
x2+3x-6
Step-by-step explanation:
Lauren and her sister are buying their mom a watch for her birthday. The original price of the watch is $50, but the store is having a 25% off sale on watches. The sales tax in Lauren’s state is 6%.
How much will Lauren and her sister pay for the watch including tax?
What percent of the original price do Lauren and her sister pay for the watch, after paying tax?
Answers
Step-by-step explanation:
75×50/100= 37.5$
37.5×6/100=225/100=2.25$
37.5+2.25= 39.75$
One of the zookeepers solved to find Bernard's speed
when he is, healthy using the equation:
x - 41.5 = 13.5.
The other Zookeeper said that to solve for Bernard's
speed when he is healthy, they must use the equation:
41.5 + 13.5 = x.
Which zookeeper is correct? Explain.
Answers
Answer:
Well both zookeepers are correct but the second zookeepers answer was more accurate.
Step-by-step explanation:
The first zookeeper gave the equation :
[tex]x - 41.5 = 13.5[/tex]
So , In order to find Benards speed which is denoted as x , we would still have to collect like terms to isolate x.
The second zookeeper gave the equation :
[tex]41.5 + 13.5 = x[/tex]
In this equation the zookeeper had already isolated x so, only simple addition was needed to find Bernard's speed.
This equation is easier to solve.
The mean number of robberies per month in a certain town is 3. What is the probability that in any given month 5 robberies will occur in this town?
0.01
0.14
0.265
0.916
Answers
Answer:
i think its c but not 100% tbh
Step-by-step explanation:
can someone help me T-T
Answers
Answer:
This should be the answer
Step-by-step explanation:
One = a, c, f, e
Infinite = d
No = b
Chantay made this square picture. She wants to glue yarn around the border to make a frame. How much yarn does she need?
Answers
Answer:
60 I
Step-by-step explanation:
because it would be 15 times 4 right I think
nya wants to buy a sweater that had an original price of 55. the sweater is now discounted 20% and the sales tax rate is 5.5%. how much will nya pay for the swearter
Answers
Answer:
Step-by-step explanation:
55 - 20% = 44
5.5% of 44 = 2.42
2.42 + 44 = 46.42
hope this helps. :]
someone help meh please:)
simplify the complex fraction -3/5 2 1/4
Answers
Answer: =−1 7/20
(Decimal: -1.35)
Step-by-step explanation: Hope this helped, Happy new years!
Awnser this: 3x + 2 = 14
Answers
Answer:
x=4
Step-by-step explanation: Because 3 times 4 is 12 plus 2 is 14.
Answer:
x=4
Step-by-step explanation:
First, you have to subtract 2 from both sides of the equation to isolate the variable. Then the equation becomes 3x=12. Next, you have to do the opposite of multiplication, which is division, and divide by 3 on both sides of the equation. 3x divided by 3 cancels out. 12 divided by 3 is 4. Therefore, x=4.
There were 5 girls in Ms. Smith’s 6th period class. If 45% of students are girls, about how many boys are in her class?
Answers
Answer:
5 is 45% of 11.11
Step-by-step explanation:
Zach created a blueprint using only similar parallelograms. Which statement about the parallelograms must be true? A) The parallelograms all have congruent sides and angles. B) The parallelograms have corresponding angles that are not congruent. C) The parallelograms have proportional corresponding sides. D) The parallelograms have corresponding sides that are congruent.
Answers
Answer:
A) The parallelograms all have congruent sides and angles.
Step-by-step explanation:
Remember, a parallelogram in simple words is a flat shape (either a square, rectangle, or rhombus) that has four sides of equal length, and whose opposite angles are congruent.
In other words, Zach's blueprint using similar parallelograms would be chosen from either a square, a rectangle, or a rhombus, which all have congruent sides and angles.
Answer:
C
Step-by-step explanation:
I got it wrong because I listened to the other guy :\
Have a great day!
ALSO: PRESS PICTURE TO SEE PROOF, SORRY IT CAME OUT BLURRY, ONCE YOU PRESS IT, IT WILL BE NORMAL.
Find the equation of the line that is perpendicular to y = –3x + 1 and passes though the point (6, 3).
A) y =
1
3
x + 1
B) y = –
1
3
x + 1
C) y = 3x – 5
D) y = –3x – 5
Answers
Answer:
A. y=1/3x+1
Step-by-step explanation:
When finding a line that is perpendicular to another line, all you have to do is find the "opposite reciprocal" of the slope. In this case that means writing the slope as the fraction -3/1, and then flipping the fraction over (1/-3) and taking away the negative sign which gets you 1/3 for the slope of your new line. Now, all you have of your new equation is the slope. You need to take your new equation (y=1/3x+b) and plug in the x and y coordinates to that equation, and then solve for the last variable which is b. That solving process goes as follows:
3=1/3*6+b
3=2+b
1=b
now you can replace the b with 1 in your equation to get your final answer of y=1/3x+1
What Ps the value
of (100)^o
Answers
Answer:
(100)^0=1
Step-by-step explanation:
This follows the laws of indices
please help me!!!!!!!!!!!!!
Answers
Denver can plant 3 rows of a certain length with 2 seedlings leftover.
Total number of seeds he has = 3x+2 Denver can plant 4 rows of the same length with 3 seedling spots left empty.
Total number of seeds he has = 4x-3 Using (i) and (ii), we get= 3x+2=4x-3
Isolate variable terms: 2+3=4x-3
Answer= 5=X
Lei’s favorite cereal comes in two box sizes. A 16-ounce box costs $3.20. The 32-ounce box costs $6.24. Which box is better to buy?
Answers
Answer:
The 32-ounce box
Step-by-step explanation:
The 16-ounce box costs $3.20 for every 16 ounces, but the 32-ounce box costs $3.12 for every 16 ounces. That means the 32-ounce box is a better deal by 8 cents.
Answer:
the big box is a better buy
Step-by-step explanation:
we have
$3.20 for 16ounce
and notice 32 is duble of 16 so to be equal price will be
$6.40 for 32ounce
yet is not is
$6.24 for 32ounce so the big box is less expensive
Compare 6 ⋅ 108 to 3 ⋅ 106
6 ⋅ 108 is 2,000 times larger than 3 ⋅ 106.
6 ⋅ 108 is 200 times larger than 3 ⋅ 106.
6 ⋅ 108 is 20 times larger than 3 ⋅ 106.
6 ⋅ 108 is 2 times larger than 3 ⋅ 106.
Answers
Answer:
6 ⋅ 108 is 2 times larger than 3 ⋅ 106.
(6 x 10^8) ÷ (3 x 10^6) = 200
So the answer is 6 ⋅ 10^8 is 200 times larger than 3 ⋅ 10^6.
Hopes it helps.
How do I plot this?
Answers
How manys days makes a leap year?
Answers
Answer: In an ordinary year, if you were to count all the days in a calendar from January to December, you'd count 365 days. But approximately every four years, February has 29 days instead of 28. So, there are 366 days in the year. This is called a leap year.
Step-by-step explanation:
Find the area.
A. 91 ft
B. 78ft
C.77 ft
D. 105ft
Answers
Answer:
78
Step-by-step explanation:
11(a) + 15(b) / 2×6(h)
Charlie can spend up to 10$ on lunch. He wants to buy a turkey sandwich, a bottle of soda,
and x pounds of macaroni. If a turkey sandwich cost $3.75, a bottle of soda cost $2.25, and
macaroni costs $2 per pound, find the range of pounds of macaroni that Charlie can buy.
Answers
Answer:
he can buy 2 pounds of macaroni
Step-by-step explanation:
first you add up the 3.75 and the 2.25 from the turkey and the soda. it ranges to 6 dollars. then if each macaroni pound is 2 you will be able to buy 2 pounds from the 4 dollars you have lefy
Answer:
Charlie can buy 1 or 2 pounds of macaroni
Step-by-step explanation
If we add up the cost of the turkey sandwich and the soda, we get $6.00. Charlie has $10.00 to spend, so when he buys the sandwich and soda, he will have $4.00 left to spend. If the macaroni is $2.00 per pound, then Charlie can buy 1 or 2 pounds of macaroni.
hope this helped
Please do this because this is very hard for me
Answers
Answer:
she is charged 460 dollars because she has to pay 20$ each year she doesnt pay
Step-by-step explanation:
Answer:
she is charged 460 dollars because she has to pay 20$ each year she doesnt pay
Step-by-step explanation:
she is charged 460 dollars because she has to pay 20$ each year she doesnt pay
HELP HELP! PLEASEEEE
Answers
Answer: All of the ones with a positive and negative. If it’s positive and positive or negative with a negative put in the equation, it’ll always equal a positive. Hope that helps!
Answer:
-6 * 7
-8 * 8
11 * (-2)
Step-by-step explanation:
Hope this helps :D