Given:
The radius of the circle is 14 cm.
The length of an arc of a circle is one-eighth the circumference of the circle.
To find:
The angle subtended by this arc at the center.
Solution:
Formula for arc length is:
[tex]s=2\pi r\times \dfrac{\theta }{360^\circ}[/tex] ...(i)
Where, r is the radius and [tex]\theta [/tex] is the central angle.
The length of an arc of a circle is one-eighth the circumference of the circle.
[tex]s=\dfrac{1}{8}(2\pi r)[/tex] ...(ii)
Where, [tex]2\pi r[/tex] is the circumference of the circle.
Using (i) and (ii), we get
[tex]2\pi r\times \dfrac{\theta }{360^\circ}=\dfrac{1}{8}(2\pi r)[/tex]
[tex]\dfrac{\theta }{360^\circ}=\dfrac{1}{8}[/tex]
[tex]\theta =\dfrac{360^\circ}{8}[/tex]
[tex]\theta =45^\circ[/tex]
Therefore, the central angle is 45 degrees.
PLSS HELP
A given line has the equation 2 x + 12 y = -1.
What is the equation, in slope-intercept form, of the line that is perpendicular to the given line and passes through the
point (0, 9)?
Oy= - 6x + 9
=-*x+9
Oy
Ov=hx+9
O y=6x +9
Save and Exit
Next
Submit
Answer:
B
Step-by-step explanation:
mrk me brainliest plz
The equation of the straight line in slope - intercept form that
is perpendicular to the given line and passes through the point (0, 9) is -
y = 6x + 9.
What is the general equation of a straight line?The general equation of a straight line is -
y = mx + c
where -
{m} is the slope of the line.
{c} is the {y} - intercept.
Given is that the equation of a straight line as -
2x + 12y = - 1
Assume that the equation of the straight line in slope - intercept form as
y = mx + c
Now, the given straight line is perpendicular to the given line. So, we can write the slope as -
{m} = -1/(-1/6)
{m} = 6
For the {y} intercept, we can write -
{c} = 9
So, we can write the equation of the straight line in slope - intercept form that is perpendicular to the given line and passes through the point (0, 9) is -
y = 6x + 9
Therefore, the equation of the straight line in slope - intercept form that
is perpendicular to the given line and passes through the point (0, 9) is -
y = 6x + 9.
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The measure of angle X is three times as large as the complement of the angle. Which equation can be used to find the measure of angle X?
A
(x+3)+x=90(x+3)+x=90
B
3x+x=1803x+x=180
C
(x+3)+x=180(x+3)+x=180
D
3x+x=903x+x=
Answer:
Step-by-step explanation: 55
the loving lemon company sells a 4-gallon jug of lemonade for $24. The sweet and sour company sells an eight pack of 1-quart bottles of lemonade for $16.00. Witch company has a higher unit price please explain your answers
Answer:
The Sweet and Sour company
Step-by-step explanation:
Convert both types of lemonades into gallons and divide by the price.
For the loving lemon company you divide 24 by 4 and get a unit price of $6 per gallon
For the sweet and sour company change the 8 quarts into 2 gallons and divide 16 by 2, which gets you a unit price of $8 per gallon
During the first several rounds of a golfing league, Dirk made par or better on 42 out of 90 holes. Based on this relative frequency, how many pars or better could he be expected to make on the remaining 150 holes? Round to the nearest whole number if necessary.
70 pars or better
60 pars or better
65 pars or better
53 pars or better
Dirk will make 70 pars or better.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.
Given is that During the first several rounds of a golfing league, Dirk made par or better on 42 out of 90 holes.
Out of 90 holes, Dirk made par or better on 42 holes.
At this rate, Out of 1 hole, Dirk made par or better on (42/90) holes.
Then, Out of 150 holes, Dirk will make par or better on -
(42/90 x 150) holes
(42/90 x 150)
70
Therefore, Dirk will make 70 pars or better.
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Geometry The figures below are squares. Find an expression for the area of each shaded region. Write your answers in standard form.
Answer:
shaded area = 2x² + 6x + 17
If these are squares, what is the "x + 3"?
Step-by-step explanation:
shaded area = (x + 4)² - (x - 1)² = x² + 8x + 16 + x² - 2x + 1 = 2x² + 6x + 17
The chart below shows the highest quiz score Cynthia received in four of her classes. In which class did she have the highest score?!
Answer:
English.
Step-by-step explanation:
English: 13/14 = 93%-94% (0.928...) Rounding up.
Science: 93%
Math: 92%-93%
History: 93%
PLEASE PLEASE PLEASE HELP ME
Answer:
276 .........................................
what are two fractions that equal to 4/6
Answer: 2/3, 8/12
Step-by-step explanation:
Answer:
2/3 and 8/12 (brainlest plssss)
Step-by-step explanation:
Ginnys team scored 22 points during the first half of a basketball game.Her team scored 39 points during the second half of the game. Ginnys team beat the other team by 8 points. Which expression could be used to find the other teams score
Her team scored a total of 22+39 = 61 points. This is 8 points higher than the other team, so the other team scored 61-8 = 53 points.
As for which expression your teacher wants as the final answer, it will depend on how simplified you want it to be. You could have the following possible answers:
22+39-861-8Other expressions may be possible as well.
Answer:
The answer depends on whether your teacher wants an algebraic expression or an arithmetic expression.
Algebraic might be:
s = g - 8
Arithmetic:
39 + 22 - 8
Step-by-step explanation:
s (score) is the total number of points Ginny's team scored (g) minus 8 because Ginny's team scored 8 more than the other team.
Find the missing side or angle.
Round to the nearest tenth.
A=15°
C= 120°
b=3
c=[? ]
Enter
Given:
[tex]A=15^\circ, C=120^\circ,b=3[/tex].
To find:
The length of side c.
Solution:
According to the angle sum of property of a triangle, the sum of all interior angles of a triangle is 180 degrees.
[tex]m\angle A+m\angle B+m\angle C=180^\circ[/tex]
[tex]15^\circ+m\angle B+120^\circ=180^\circ[/tex]
[tex]m\angle B+135^\circ=180^\circ[/tex]
[tex]m\angle B=180^\circ-135^\circ[/tex]
[tex]m\angle B=45^\circ[/tex]
According to the Law of sines,
[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
Using Law of sines, we get
[tex]\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
[tex]\dfrac{3}{\sin 45^\circ}=\dfrac{c}{\sin 120^\circ}[/tex]
[tex]\dfrac{3}{\dfrac{1}{\sqrt{2}}}=\dfrac{c}{\dfrac{\sqrt{3}}{2}}[/tex]
[tex]3\sqrt{2}\times \dfrac{\sqrt{3}}{2}=c[/tex]
On further simplification, we get
[tex]\dfrac{3\sqrt{6}}{2}=c[/tex]
[tex]3.674235=c[/tex]
[tex]c\approx 3.7[/tex]
Therefore, the length of side c is about 3.7 units.
HELP PLSSSSSSSS I'M LOST PLSSSSSSSSSSSSSSSSSS
Answer:
1. 1/4 or 25/100, .25 and 25%
2. 1/10 or 1/100, .10 and 10%
Step-by-step explanation:
25 cubes out of 100 is 25/100
Simplify to 1/4
if its 25 cubes out of 100 its gonna fill up 25% or .25 of the whole thing
10 cubes out of 100 is 10/100
then simplify to 1/10
other two are obvious lol
Graph the linear equation q(x)=-3x+1
The linear function q(x) = -3x + 1 is graphed and attached
How to graph the linear functionThe graph of the linear function is a straight line graph and the table of values used in making the plot is calculated as follows
For x = -20, q(x) = -3 * -20 + 1 = 61
For x = -10, q(x) = -3 * -10 + 1 = 31
For x = 0, q(x) = -3 * 0 + 1 = 1
For x = 10, q(x) = -3 * 10 + 1 = -29
For x = 20, q(x) = -3 * 20 + 1 = -59
Table of values
x y
-20 61
-10 31
0 1
10 -29
20 -59
These points are plotted in the cartesian coordinate by tracing the point of intersection of the x and y and marking it. Then the marked points are joined together to form a straight line
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Write an inequality comparing 3/4 and 2/4.
Answer:
3/4 > 2/4
Step-by-step explanation:
3/4 = 0.75
2/4 = 0.5
Therefore, 3/4 > 2/4
Please someone help me
Answer:
6,9 and 3 times respectively
In November, the Sport Shop sold
74 pairs of snow skis and 3 pairs of water
skis. Each month the shop sold 11 more
pairs of water skis and 6 fewer pairs of
snow skis than the previous month,
When was the first month the shop sold
more water skis than snow skis?
Answer:
March is the first month
Step-by-step explanation:
If we make a graph. We can see that the quantity of sold water skis overpasses the quantity of snow skis in the month of March.
the distance around a square room measures 101 feet 7 inches. Estimate the length of each side of the room
Answer:
304.75 inches
Step-by-step explanation:
Total distance = 101 feet 7 inches
Recall :
1 Feet = 12 inches
Total distance in inches = (101 * 12) + 7 = 1219 inches
Perimeter of square = 1219
Sides of a square are always equal
Number of sides = 4
Hence, length of each side = 1219 inches / 4 = 304.75 inches
Looking out from a balcony, the angle of elevation to the top of the next building is
approximately 22 degrees. The angle of depression to the bottom of the building is
approximately 29 degrees. If the building is 200 feet away, how tall is it?
Answer:
191.67 feets
Step-by-step explanation:
From. The attached picture :
Height x can be obtained using trigonometry :
Tan 22 = x / 200
0.4040262 = x / 200
x = 0.4040262 * 200
x = 80.805245 feets
For height, y :
Tan 29 = x / 200
0.5543090 = x / 200
y = 0.5543090 * 200
y = 110.86181 feets
Building height = x + y
Building height = 80.805245 + 110.86181 = 191.67 feets
Write an expression with 5 terms where one of the terms is a constant of 3
Answer:
Since the term "3" contains no variables, "3" IS a constant term. In the expression 2x - 5 the constant term is -5.
Given that MTW = CAD, which segments are corresponding parts of the congruent triangles?
Answer: MW = CD
Explanation: It would be this way because if you wrote the triangles out, MW would be in the same place as CD, making them corresponding.
The following segments are corresponding parts of the congruent triangles.
segment MT ≅ segment CA
segment TW ≅ segment AD
segment MW ≅ segment CD
What are congruent triangles?Two triangles are said to be congruent if pairs of their corresponding sides and their corresponding angles are equal. They are of the same shape and size.
Given that
Triangle MTW = Triangle CAD
If two triangles are congruent then the corresponding sides and corresponding angles are congruent.
∴ segment MT ≅ segment CA
{corresponding parts of the congruent triangles}
segment TW ≅ segment AD
{corresponding parts of the congruent triangles}
segment MW ≅ segment CD
{corresponding parts of the congruent triangles}
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What's the area of the square?
Answer: 18
Step-by-step explanation:
you just times the 4 1/2 4 times
Which of the following is a line in the drawing?
Answer:
JN
Step-by-step explanation:
It is the only segment that does not have a bend.
Hurricane Irma knocked a tree down and destroyed a 45 degree section of your
circular fence that has a radius of 22 feet. If you want to replace the fence, how
long would you need the replacement section to be?h
whats 5x5? Maybe will mark brainiest
Answer:
25
Step-by-step explanation:
5x5 = 25
Answer:
25
Step-by-step explanation:
Let's go through our times tables really quick!
5x1 = 5 (5 + 0)
5x2 = 10 (5 + 5)
5x3 = 15 (5 + 5 + 5 [10 + 5])
5x4 = 20 (5 + 5 + 5 + 5 [15 (5x3) + 5)
As we can see, if we know 5x4, we can easily find 5x5! It's just 5x4 + 5
So, 5x5 is 25
Hope this helped!
A research organization reported that 41 percent of adults who were asked to describe their day responded that they were having a good day rather than a typical day or a bad day. To investigate whether the percent would be different for high school students, 600 high school students were randomly selected. When asked to describe their day, 245 students reported that they were having a good day rather than a typical day or a bad day. Do the data provide convincing statistical evidence that the proportion of all high school students who would respond that they were having a good day is different from 0.41 ?
A) No, because the p value is less than any reasonable significance level
B) No, because the pvalue is greater than any reasonable significance level
C) Yes, because the p-value is less than any reasonable significance level
D) Yes, because the pvalue is greater than any reasonable significance level
E) Yes, because the expected value of the number of students who will report having a good day is 246, not 245.
Answer:
B) No, because the p-value is greater than any reasonable significance level
Step-by-step explanation:
H-null: p = 0.41
H-alt: p =/= 0.41
1 proportion Z test
On a calculator: stat + tests + 5
p: .41
x: 245
n: 600
prop: =/= p
This gives a p-value = .934
(standard significance level is .05, so this p-value is much larger)
fail to reject H-null
If the p-value is much larger than 0.41 then the null hypothesis is rejected. Then the correct option is B.
What are null hypotheses and alternative hypotheses?In null hypotheses, there is no relationship between the two phenomenons under the assumption or it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.
A research organization reported that 41 percent of adults who were asked to describe their day responded that they were having a good day rather than a typical day or a bad day.
To investigate whether the percentage would be different for high school students, 600 high school students were randomly selected.
When asked to describe their day, 245 students reported that they were having a good day rather than a typical day or a bad day.
Null hypotheses
p = 0.41
Alternative hypotheses
p ≠ 0.41
The p-value will be given as
p-value = 0.934
The p-value is much larger than p.
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Nancy wanted to find the volume of a cubiod she measured the length of the cubiod as 11 cm and width as 8cm and the height as
When Nancy wanted to find the volume of a cuboid, the volume is 352cm³.
How to calculate the volume?Word problem simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.
Since Nancy wanted to find the volume of a cubiod she measured the length of the cubiod as 11 cm and width as 8cm and the height as 4cm.
The volume will be:
= Length × Width × Height
= 11cm × 8cm × 4cm
= 352cm³
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Complete question
Nancy wanted to find the volume of a cubiod she measured the length of the cubiod as 11 cm and width as 8cm and the height as 4cm. Find the. volume
a letter is chosen at random from the word FOOTBALL, the probability that the letter chosen is not an L is:
Answer:
7/8
Step-by-step explanation:
Step 1: Count the total number of letters in the word FOOTBALL
There are 8 letters in the word FOOTBALL.
Step 2: Count the number of letters that are not L
There are 7 letters that are not L.
Step 3: Calculate the probability
The probability that the letter chosen is not an L is 7/8.
If g(x) = 4x - 9. solve g[g(x)] = g(x) for x.
Answer:
f ( x + 4 /9 ) = 4 x − 65/ 9
Step-by-step explanation:
how many times does 6 go into 137
Answer: 22 times
Step-by-step explanation: divide 137 by 6
solve the following equation n-31/105>1
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{n - \dfrac{31}{105}>1}[/tex]
[tex]\large\textsf{First you have to SIMPLIFY EACH SIDES of the INEQUALITY}[/tex]
[tex]\mathsf{n + (-\dfrac{31}{105})>1}[/tex]
[tex]\large\textsf{Second ADD }\mathsf{\dfrac{31}{105}}\large\textsf{ to BOTH of your SIDES}[/tex]
[tex]\mathsf{n - \dfrac{31}{105}+\dfrac{31}{105}> 1 +\dfrac{31}{105}}[/tex]
[tex]\large\textsf{CANCEL out: }\mathsf{-\dfrac{31}{105}+\dfrac{31}{105}}\large\textsf{ because that gives the value of 0}[/tex]
[tex]\large\textsf{KEEP: }\mathsf{1+\dfrac{31}{105}}\large\textsf{ because it helps what is being COMPARED to the n value}[/tex]
[tex]\large\textsf{Simplify above (}\mathsf{1+\dfrac{31}{105}}\large\textsf{) and you should have your result to this question}[/tex]
[tex]\mathsf{1+\dfrac{31}{105}=\bf \dfrac{136}{105}}[/tex]
[tex]\boxed{\mathsf{Answer: \bf n> \dfrac{136}{105\ }\boxed{\large\textsf{ it is an \bf O P E N E D circle shaded to the right}}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
The perimeter of a square is 28 feet what is its area in square feet
Answer:
49 feet squared
Step-by-step explanation:
Divide the perimeter by the the number of sides a square has to find the length of each side, then find the area by multiplying two of the side lengths
28÷4 = 7
7×7=49