Complete question:
A circle has a radius of 3 and a central angle of 340 degrees, what is the arc length? Round to the nearest tenth place.
Answer:
length of arc ≈ 17.8 (to the nearest tenth)
Step-by-step explanation:
To find the length of the arc we use the formula for finding length of an arc.
length of arc = ∅/360 × 2πr
where
∅ = central angle
r = radius
∅ = 340°
r = 3
length of arc = ∅/360 × 2πr
length of arc = 340/360 × 2 × π × 3
length of arc = 340/360 × 6π
length of arc = 2040π/360
length of arc = 204π/36
length of arc = (204 × 3.14)/36
length of arc = 640.56/36
length of arc = 17.7933333
length of arc ≈ 17.8 (to the nearest tenth)
Answer:
It is 17/3 pi
Step-by-step explanation:
I know this is already answered, but I have this same question on Khan Academy, and I entered the number on the answer here, but it says the length of the arc is 17/3 pi. And, yes, you can put the 'pi' symbol in Khan, it accepts it as an answer.
Is AABC AXYZ? If so, identify the similarity postulate or theorem that
applies
Answer:
Similar-AA
Step-by-step explanation:
If you know 2 angles of the triangle you automatically know the third. If all the corresponding angles of two triangles are the same, they are similar.
(p.s. This sign ~ means similar)
Dora says that of all the possible rectangles with the same area, the rectangle with the largest perimeter will have two side lengths that are 1 unit does her sentment make sense?
Answer:
maybe
Step-by-step explanation:
Dora is apparently assuming the dimensions are integers. In that case she is correct.
If the dimensions are unconstrained, the perimeter will be largest when a pair of opposite sides will be the smallest measure allowed.
For some perimeter P and side length x, the area is ...
A = x(P/2 -x)
Conversely, the perimeter for a given area is ...
P = 2(A/x +x)
This gets very large when x gets very small, so Dora is correct in saying that the side lengths that are as small as they can be will result in the largest perimeter. We have no way of telling if her assumption of integer side lengths is appropriate. If it is not, her statement makes no sense.
Find the value of x round to the nearest tenth. Enter the number that belongs in the green box. 20 points!!!! And marking brainlist!
Answer:
80.4 =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opposite/ adjacent
tan 15 = x / 300
Multiply each side by 300
300 tan 15 = x
80.38475773=x
To the nearest tenth
80.4 =x
Answer:
80.4
Step-by-step explanation:
use tan x = opp/adj
tan 15° = x/300 multiply by 300 on both sides
tan 15° * 300 = x
x = 80 .38 ≈80.4
Charles bought 3 pounds of apples and a bag of chips that cost $2.60 He spent atonal of $6.35. Write and solve a equation to determine the price for a pound of apples
Answer:
$1.25 for a pound of apples.
Step-by-step explanation:
First I did, 6.35-2.60 to find the cost of JUST the apples. which was 3.75.
then I did 3.75/3 i divided them. It came out to 1.25. SO that means it costs $1.25 for a pound of apples.
If TV ≅ WV and UV ≅ XV, then which congruency theorem shows that ΔTUV ≅ ΔWXV ?
Answer:
Option (2).
Step-by-step explanation:
In the figure attached,
Given : TV ≅ WV and UV ≅ XV
To prove: ΔTUV ≅ ΔWXV
Statements Reasons
1). TV ≅ WV 1). Given
2). UV ≅ XV 2). Given
3). ∠XVW ≅ ∠TVU 3). Reflexive property
4). ΔTUV ≅ ΔWXV 4). SAS (Side - angle - side) property of congruence
Therefore, Option (2) will be the answer.
Use this data for question #14. The results for a survey of 120 students who were selected randomly are listed below:
14. The total population of students was 380. Based on the data, what is the best approximation for the total number of students who have a cell phone plan with company Y? *
A. 114
B. 127
C. 143
D. 163
What is h(x) = 7 + 10x + x2 written in vertex form?
Answer:
h(x) = (x + 5)² − 18
Step-by-step explanation:
h(x) = 7 + 10x + x²
h(x) = x² + 10x + 7
Complete the square. (10/2)² = 25, so:
h(x) = x² + 10x + 25 − 18
h(x) = (x + 5)² − 18
Answer:
it is c on edg 2021
Step-by-step explanation:
Find the number of real-number solutions of the equation.
2x^2 = 37
Answer:
Step-by-step explanation:
2x^2 = 37
x^2=37/2
x^2=18.5
[tex]\sqrt{x^{2} }[/tex]=[tex]\sqrt{18.5}[/tex]
x=4.301
Please answer the questions. i will give brainiest asap
Answer:
RR' || SS'
Step-by-step explanation:
because if you look at the image you see that RR' is parallel to SS'
En el supermercado pusieron las siguientes ofertas d frijol : 4kg a 100.80, 5kg a 170.50, 6kg a 260.60, 7kg a 320.40. ¿Cuál es la oferta que más conviene comprar? Explica tu respuesta:
Answer:
The first offer: 100.80 for 4kg
Step-by-step explanation:
To find the best offer, we just need to find the price per kilogram, and we do this by dividing the price by the number of kg:
100.80 for 4kg: 100.8/4 = 25.2 per kg
170.50 for 5kg: 170.5/5 = 34.1 per kg
260.60 for 6kg: 260.6/6 = 43.43 per kg
320.40 for 7kg: 320.4/7 = 45.77 per kg
The first offer has the smaller price per kg, so it is the best offer.
The best player on a basketball team makes 70% of all free throws. The second-best player makes 65% of all free throws. The third-best player makes 55% of all free throws. Based on their experimental probabilities, estimate the number of free throws each player will make in his or her next 60 attempts. Explain.
If the best player makes 70% of all free throws, then this player would be expected to make 70% of the next 60 free throws, which is 42. (The equation that goes with this is [tex]\frac{70}{100}=\frac{x}{60}.[/tex])
Similarly, the second-best player would make 65% of 60 throws, which is 39, and the third-best player would make 55% of 60 throws, which is 33.
Which of the following expressions is equivalent to 4^−3?
A. 1/-4^-3
B. -4^-3
C. 1/4^3
D. 1/4^-3
Answer:
C
Step-by-step explanation:
Evaluate.
Exact Form:
1 /64
Decimal Form:
0.015625
A group of fitness club members lose a combined total of 28 kilograms in 1 week. There are approximately 2.2 pounds in 1 kilogram l. Assuming the weight loss happened at a constant rate, about how many pounds did the group lose each day?
Answer: 8.8 pounds.
Step-by-step explanation:
Hi, to answer this question, first we have to divide the total weight loss in a week (28 kg) by 7 (days in a week).
28 /7 = 4 kg per day
The group lost 4 kg each day.
Finally we have to convert the result into pounds.
Since 1 kg = 2.2 pounds
4 kg x 2.2 = 8.8 pounds.
Feel free to ask for more if needed or if you did not understand something.
Which relation is a function of x?
Answer:
it is the last one. because it passes the verticle line test, and the first one repeats the same number two times.
A scientist counts 35 bacteria present in a culture and finds that the number of bacteria triples each hour. The function y = 35 • 3x models the number of bacteria after x hours. Estimate when there will be about 550 bacteria in the culture.
Answer: About 5.2 Hours
Step-by-step explanation:
550= 35 x 3x
183.33= 35x
5.2 = x
la argentina se encuentra rodeada de océanos al este y al oeste??
Answer:
La República Argentina se encuentra ubicada en el extremo sureste de América del Sur. Su territorio continental americano, que abarca gran parte del Cono Sur, limita al norte con Bolivia y Paraguay, al nordeste con Brasil, al este con Uruguay y el océano Atlántico, y al sur y oeste con Chile.
Katrina is solving the equation x minus 2 (x + 3) = 4 (2 x + 3) minus (x + 4). Which equivalent equations might Katrina use? Check all that apply. x minus 2 x minus 6 = 8 x + 12 minus x minus 4 x minus 2 x + 6 = 8 x + 12 minus x + 4 x minus 2 x minus 6 = 8 x + 12 minus x + 4 x minus 2 x + 3 = 8 x + 3 minus x + 4 Negative x minus 6 = 7 x + 8 Negative x + 6 = 7 x + 16 Negative x minus 6 = 7 x + 16 Negative x + 3 = 7 x + 7
Answer:
a e
Step-by-step explanation:
The value of x according to the equation is -7/4 and the equivalent equations that Katrina might use is x - 2x - 6 = 8x + 12 - x - 4
Given the equation solved by Katrina expressed as;
x - 2 (x + 3) = 4 (2 x + 3) - (x + 4).
Expand using distributive law;
x - 2x - 6 = 4(2x) + 4(3) - x - 4
x - 2x - 6 = 8x + 12 - x - 4
-x - 6 = 7x + 8
-x - 7x = 8 + 6
-8x = 14
x = 14/-8
x = -7/4
Hence the value of x according to the equation is -7/4 and the equivalent equations that Katrina might use is x - 2x - 6 = 8x + 12 - x - 4
Learn more on expressions here: brainly.com/question/24734894
Andrea can clean a house 4 times as fast as Denise. When they work together, Andrea and Denise can clean a large house in 8 hours. How many hours would it take Denise to clean the house by herself?
Answer:
72
Step-by-step explanation:
1) Factor the polynomial using the GCE.
2x2 + 6x
Answer:
[tex]2x(x+3)[/tex]
Step-by-step explanation:
[tex]2x^{2} +6x[/tex]
[tex]2x(x+3)[/tex]
Answer:
the anwser to your question would be 2x (x+3)
match the width with the go given area.
Hello!
Answer:[tex]\boxed{ \bf 1.~l~=~9.25~cm;~A~=~55.5~cm^2~matches~with~the~last~option~w~=~6~cm.}[/tex]
[tex]\boxed{ \bf 2.~l~=~7.5~cm;~A~=~48.75~cm^2~matches~with~the~second~option~w~=~6.5~cm.}[/tex]
[tex]\boxed{ \bf 3.~l~=~5~cm;~A~=~44~cm^2~matches~with~the~third~option~w~=~8.8~cm.}[/tex]
[tex]\boxed{ \bf 4.~l~=~5~cm;~A~=~31.25~cm^2~matches~with~the~first~option~w~=~6.25~cm.}[/tex]
__________________________________Explanation:We already know that the formula for area of a rectangle is A = l × w.
Notice how the width and the length are being multiplied to find the area.
Well, to find the width, we must do the opposite of multiplication, which is division.
Since we already have the length, all we have to do is divide the area by the length for each of the questions.
1:
A = l × w
55.5 = 9.25 × w
[tex]\frac{55.5}{9.25}[/tex] = 6
2:
A = l × w
48.75 = 7.5 × w
[tex]\frac{48.75}{7.5}[/tex] = 6.5
3:
A = l × w
44 = 5 × w
[tex]\frac{44}{5}[/tex] = 8.8
4:
A = l × w
31.25 = 5 × w
[tex]\frac{31.25}{5}[/tex] = 6.25
Please help!!! I have no idea why, but I can’t solve these problems!!!!
Identify the LCD of the rational expressions in the equations
2/x+1 + x/x+4 = 1/2
4/x+9 + 3x/2x-1 = 10/3
I’d love it if anyone could answer both equations, but anything helps really!!!
One angle of a triangle is obtuse. The sum of the measures of the other angles must be A.more than 90 degrees B.less than 90 degrees C.equal to 90 degrees help i need this 10 points please
Answer:
B.less than 90 degrees
Step-by-step explanation:
Obtuse angle is greater than 90°
Since the sum of all 3 angles= 180°
The sum of other 2 angles less than 180°-90°= 90°
Select the clause from the drop-down menu to correctly complete the sentence.
Be sure to wear goggles while you swim
Choose...
..thar last word is chlorine by the way
Answer: ;otherwise, your eyes will become very irritated from the chlorine.
Step-by-step explanation: I took the test
Answer:
the answer above is right i jus took the test
Step-by-step explanation:
Find the area of the shape shown below.
12 5 5
Answer:
i think its 42.5
Answer:
42.5
________________________________________________________
5x + 2y = 34
x= - 4y - 4
Answer:
y = -3
Step-by-step explanation:
So, first you need to plug in -4y-4 for x. So, 5(-4y-4) + 2y=34. Now, use the distributive property and now it will become -20y -20 + 2y = 34. Add like terms which would be -20y + 2y = -18y. Now the equation is -18y - 20 = 34. Now use inverse operations and add 20 to both sides. Then the equation will be -18y = 54. When you divide -18 on both sides, you get y=-3.
Hope this helps :)
m∠ABD is a straight angle m∠CBD=8x+16 m∠ABC=6x−60
Answer:[tex]36^{\circ}[/tex]
Step-by-step explanation:
A straight angle means that the angle has a measure of 180 degrees. Therefore:
[tex]CBD+ABC=180 \\\\(8x+16)+(6x-60)=180 \\\\14x-44=180\\\\14x=224\\\\x=16\\\\6x-60=6(16)-60=96-60=36[/tex]
Hope this helps!
Answer:
m∠ABC = 36 degrees
Step-by-step explanation:
8x + 16 + 6x - 60 = 180 Add both angles to equal 180
14x - 44 = 180
+ 44 + 44 Add 44 to both sides
14x = 224 Divide both sides by 14
x = 16
Plug this into the equation for angle ABC
6(16) - 60 Multiply
96 - 60 Subtract
m∠ABC = 36
Suppose you deposit $1000 in an account paying 3% annual interest, compounded continuously. Use A=Pe^rt to find the balance after 10 years
Answer:
$1,349.8
Step-by-step explanation:
Using the formula given:
A=Pe^rt, where
A= ending amount
P= beginning amount
e= Euler’s number that is approximately 2.718
r= rate: 3%=0.03
t= time: 10 years
A= $1,000*(e^0.03*10)
A= $1,000*(e^0.3)
A= $1,349.8
According to this, the answer is that the balance after 10 years is $1,349.8.
A map is to be constructed such that 1cm on the map represents 100m on ground. What
distance on the map will be used to represent 845m of road?
Answer:
the answer is 8.45
Step-by-step explanation:
845/100 *1
The mean temperature for the first 7 days in January was 6 °C. The temperature on the 8th day was 10 °C. What is the mean temperature for the first 8 days in January?
Answer:
6.5
Step-by-step explanation:
In this question, we are tasked with calculating the mean temperature for the first 8 days.
since we we have the mean temperature for the first 7 days, the total temperature is thus 7 * 6 = 42
Now, on the 8th day, temperature is 10, this brings total temperature to 42 + 10 = 52
The mean temperature for the first 8 days ys therefore; 52/8 = 6.5
Jess found that 10% of the students surveyed like to clean their rooms. Which
does not represent 10%?
