The length of an arc is the distance between the endpoints of the arc.
The central angle is: [tex]\mathbf{4.75\ rad}[/tex] or [tex]\mathbf{272.16^o}[/tex]
The given parameters are:
[tex]\mathbf{l = 19yd}[/tex] --- length of the arc
[tex]\mathbf{r = 4}[/tex] -- radius of the circle
The length of an arc is calculated as:
[tex]\mathbf{l =r\theta}[/tex]
Divide both sides by r
[tex]\mathbf{\theta = \frac lr}[/tex]
Substitute known values
[tex]\mathbf{\theta = \frac{19}4}[/tex]
[tex]\mathbf{\theta = 4.75\ radians}[/tex]
Convert to degrees as follows:
[tex]\mathbf{\theta = 4.75 \times \frac{180}{\pi}}[/tex]
[tex]\mathbf{\theta = 4.75 \times \frac{180}{3.142}}[/tex]
[tex]\mathbf{\theta = 272.16^o}[/tex]
Hence, the central angle is: [tex]\mathbf{4.75\ rad}[/tex] or [tex]\mathbf{272.16^o}[/tex]
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Genesis has 2/3 of her birthday cake left and she wants to share it between 3 of her friends. How much of the original cake will each friend receive? Kaycee says 6/9 Tari says 2/9 Janiyah says 3/9 Who is correct?
Answer:
[tex]\frac{2}{9}[/tex] of the original cake each friend will receive, so Tari is right.
Step-by-step explanation:
You know that Genesis has [tex]\frac{2}{3}[/tex] of her birthday cake left and she wants to share it between 3 of her friends.
To determine the amount of original cake that each friend will receive is determined by dividing the [tex]\frac{2}{3}[/tex] of the cake into 3 pieces, which is the number of friends.
[tex]\frac{2}{3}[/tex] ÷3
To divide fractions by natural numbers, the whole is considered as a fraction (that is, over the denominator 1). Then you invert this the second fraction and multiply the fractions. For this, you multiply the numerators of the fractions on one side and multiply the denominators of the fractions on the other. If necessary, you simplify the resulting fraction.
In summary, to divide a fraction by a whole number, all you have to do is convert the whole number to a fraction, find the reciprocal of that fraction, and multiply the result by the first fraction.
In this case:
[tex]\frac{2}{3}[/tex] ÷3= [tex]\frac{2}{3} *\frac{1}{3}=\frac{2*1}{3*3} =\frac{2}{9}[/tex]
[tex]\frac{2}{9}[/tex] of the original cake each friend will receive, so Tari is right.
A line passes through the points (-8, 7) and (-11,-11). Find the value of a such 1 point
that the point (-7,a) lies on the line. a=
Your answer
Answer:
a=12
Step-by-step explanation:
we need the slope of this line. Find it with the slope formula
m= y2-y1 / x2-x1 with the points given p1=(-8,7) and p2=(-11,-11)
m=-11-7 / -11-(-8) (x1,y1) (x2,y2)
m= -18 /-11+8
m= -18 / - 3
m= 6
next plug in one of the point into the point-slope formula [y-y1=m(x-x1)]
y-7=6(x-(-8)) ( simplify this towards the slope intercept form [y=mx+b]
y-6=6(x+8)
y-6=6x+48
y=6x+54
now we can plug in our point of (-7,a) to find what a is
a=6(-7)+54
a=-42+54
a=12
:)
Help with the whole thing please and thanks
1a. closest to 1
b. closest to 0
2a. closest to 1
b. closest to 1/2
Numb 3. Ain't clear.
4. Not sure.
5a. closer to 1
b.closer to 1/2
c. 3/4 - 5/12 = 1/3
6. 26/15
7. 7/18
8. 47/240
9. 191/225
10. 11/60
11. 81/200
Please help down below
Answer:
The answer is B
Hope this helps
Answer:
The first answer
Explanation:
Ok I added an explanation lol-
So B is incorrect. It gets confused. 332/4 simplified isn't 1/83, but it's 83/1 (aka 83)
C doesn't even make sense 6-6
And D isn't 5 2/5 it's 7 2/5
calculate the rise and run to find the slope of the line
Answer:
3
Step-by-step explanation:
To find the slope of the line, you can use the formula rise/run.
Every time the graph moves one unit across the x-axis, it moves three spaces up. Therefore,
Rise = 3
Run = 1
Now to plug this into our formula:
3/1 = 3
The slope of the line is 3.
help please i have an f!!
Answer:
1x=3y
-9x=-2y
Step-by-step explanation:
6x=-4y
17x=-2y
4y
17x=-2y
what is 9741 divided by 45
Answer:
216.466666667
Step-by-step explanation:
this is all i ask, just please give me the answer
Answer:
92
Step-by-step explanation:
161 divided by 7 is 23. so you just multiply 4 by 23. And that gets you the answer. Hope this helps:)
Answer:
x=92
Solve for x by simplifying both sides of the equation, then isolating the variable. hopes this helps have a great day <3 :)
What is the solution for 3x =9
x = 3
Divide each term by 3 and simplify.
Gracelyn has 3 more children than Ella has. Gracelyn has 9 children.
How any children does Ella have?
Pick an equation and then solve
a3-x=9
b9x=3
c3/x=9 (fraction)
dx+9=3
ex-3=9
f3x=9
gx+3=9
h.x/3=9 (fraction)
182632929236+188274739393974473
Answer:
the answer id
188274922026903709
Answer:
Exact Form: 188274922026903709
Decimal Form: 1.88274922*10^17
Step-by-step explanation:
Hello! I need help PLZ!! If anyone knows I would appreciate it! Thank you so much! :)
(4 screenshots included)
Answer:
its either b or d
Step-by-step explanation:
b or d is the answer
A student solves this problem by writing an equation. Which strategy could help check the student’s answer? Check that the sum of the final answer, 12, and 15 is 55. Check that the difference of 55 and the final answer is 12. Check that the sum of the final answer, 27, and 15 is 55. Check that the difference of 55 and the final answer is 15.
total = green marbles + red marbles + blue marbles
55 = 15 + 12 + blue marbles
55 = 27 + blue marbles
55 - 27 = blue marbles
28 = blue marbles
The graph shows the number of miles you and a friend run each week while training for a race.
Answer: 4 miles
Step-by-step explanation:
44 mi/h ≈ _______________ yd/min
A tornado is located between city hall and a cell phone tower and is heading towards the cell phone tower. By what angle does the tornado’s direction need to change so that it passes over the radar station instead?
Answer:
the amount of angle the hall is so prob like 5
Step-by-step explanation:
you provided insufficient details to answer
Answer: 30 degrees
Step-by-step explanation:
2 interior angles of 75 degrees.
75+75=150.
180-150=30
rewrite the algebric expression using disstributive property
5(2x+7)
In the equation y=4 over 3 x +5 what is the slope and y-intercept
Answer:
Slope = [tex] \frac{4}{3} [/tex]
Y-intercept = 5
Please help me ^^ This is due tomorrow
12x 5 =(4x 2 )(C)12, x, start superscript, 5, end superscript, equals, left parenthesis, 4, x, squared, right parenthesis, left parenthesis, C, right parenthesis C=
Answer:
3x³
Step-by-step explanation:
Given the expression
12x^5 =(4x^2 )(C)
We are to find the value of C
Rewriting the equation will give;
(4×3)x²•x³ = 4x²C
4x²•3x³ = 4x²C
Divide both sides by 4x²
4x²•3x³/4x² = 4x²C/4x²
3x³= C
Hence the function C is 3x³
Which number is equivalent to?
Challenge The numbers of home runs a baseball player hits during spring training and during the regular season for four years are shown. Decide if the relationship between home runs hit in spring training and during the regular season is proportional. If the table represents a proportional relationship, find how many home runs are hit during the regular season if the player hit 3 during spring training
Answer:
12
Step-by-step explanation:
Key word: Most likely
First try to find the constant of proportionality
8/2= 4
4/4= 1
20/5=4
24/6=4
Since it says most likely we would say the constant of proportionality is 4.
Since they are asking for 3 homes runs we will do 3 times 4
[tex]3[/tex]×[tex]4=12[/tex]
The player will hit 12 home runs are hit during the regular season if the player hit 3 during spring training.
What is constant of proportionality?The constant of proportionality is the ratio between two directly proportional quantities.
Two quantities are directly proportional when they increase and decrease at the same rate.
The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.
Finding the constant of proportionality :-
8/2= 4
4/16= 4
20/5=4
24/6=4
Since, the constant of proportionality is 4.
And, they are asking for 3 homes runs we will do 3 times 4
Therefore, 3 x 4 = 12
Hence, the player will hit 12 home runs are hit during the regular season if the player hit 3 during spring training.
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What is the total price of 2.6 pounds of pears at 90 cent per pound?
Answer:
It would be $2.34
Step-by-step explanation:
2.6x90=234 but in this case it is money so add a decimal
What is 6/-1 expressed as an integer?
Answer:
-6
Step-by-step explanation:
whats the area of 8ft, 6ft and 2ft?
Answer:
96
Step-by-step explanation:
8x6=48
48x2=96
There were 45 runners to start a race. In the first half of the race 2/3 of them dropped out. In the second half 2/5 of the remaining runners dropped out. How many runners finished the race?
Answer:
18 racers finished.
Step-by-step explanation:
In the first half, 30 racers dropped out, because 2/3 of 45 is 30. In the 2nd half, 12 racers dropped out, because that is 2/5 of 30. So, in the end, 18 racers finished. (I might have done this wrong i did my best)
16) Ken earned $128 from his part-time job this summer. He spent 25% of his money on games. He
is going to donate 1/6 of the remaining money to charity. How much will the charity receive?
OA) $15
OB) $16
OC $32
OD) $80
Answer:
B) $16
Step-by-step explanation
Write the equation of a line with a slope of 3 that passes through (-3,2).
Answer:
y = 3x + 11
Step-by-step explanation:
Substitute the information into the point-slope form equation.
Point-slope form: y - y₁ = m(x - x₁)
y - 2 = 3(x - (-3))
y - 2 = 3(x + 3)
y - 2 = 3x + 9
y = 3x + 11
What is the slope of the line through (0,5) and (-2, -1)?
(0.5)
3
2
X
2
4
-4 -3
+(-2,-1)
-1
-2
-3
A. -3
O
B. -
o
C. 3
O
D.
10
PREVIOUS
Answer: 3
Step-by-step explanation:
*Slope formula*
Y2 - Y1 / X2 - X1
-1 - (5) / -2 - (0) = -6/-2 = 3
While on vacation in Bloomington, Ashley went out for a dinner that cost $20. If sales tax in Bloomington is 10% and Ashley left a 15% tip on $20, what was the total cost of her meal?
Answer:
$25
Step-by-step explanation:
Given that:
Cost of Ashley's dinner in Bloomington = $20
Sales tax = 10%
Tip = 15% on $20
To find:
Total cost of the meal ?
Solution:
Let us find the sales tax first of all.
Sales tax is 10% of the total bill.
Therefore, sales tax = 10% of $20
[tex]\Rightarrow \dfrac{10}{100}\times 20\\\Rightarrow \$2[/tex]
Tip left is 15% of the total bill.
Therefore, tip = 15% of $20
[tex]\Rightarrow \dfrac{15}{100}\times 20\\\Rightarrow \$3[/tex]
Now, total cost of the meal = Food cost + Sales tax + tip
Total cost of the meal = $20 + $2 + $3 = $25