Answers
Answer:
240.73 mmStep-by-step explanation:
The hour hand is 20 mm and the minute hand is
200% of 20 mm = 2*20 mm = 40 mm longThe tip of the hour hand travels 1/12 of the circle and the tip of the minute hand travels full circle in one hour.
Find each length and their difference using circumference formula.
C = 2πrHour hand
1/12*(2*3.14*20) = 10.47 mm (rounded)Minute hand
2*3.14*40 = 251.2 mmThe difference between the two above
251.2 - 10.47 = 240.73 mmAnswer:
230.38 mm
Step-by-step explanation:
The distance traveled by the tip of the hands is (part of) the circumference of the circle with radius of the lengths of the hands.
[tex]\textsf{Circumference of a circle}=\sf 2 \pi r\quad\textsf{(where r is the radius)}[/tex]
Radii
Larger circle (minute hand):
r = 200% of 20 mm = 40 mmSmaller circle (hour hand):
r = 20 mmMinute Hand
The minute hand does a full rotation of the circle in one hour.
Therefore, the distance it travels in one hour is the complete circumference of a circle with radius 40 mm:
[tex]\begin{aligned} \implies \textsf{Distance minute hand travels} & = \sf 2 \pi (40)\\ & = \sf 80 \pi \: mm\end{aligned}[/tex]
Hour Hand
There are 12 numbers on a clock.
The hour hand travels from one number to the next in one hour.
Therefore, the distance it travels in one hour is 1/12th of the circumference of the circle:
[tex]\begin{aligned}\implies \sf \textsf{Distance hour hand travels} & =\left(\dfrac{1}{12}\right)2 \pi r\\ & = \sf \left(\dfrac{1}{12}\right)2 \pi (40)\\& = \sf \dfrac{20}{3}\pi \: mm \end{aligned}[/tex]
To find how much farther the tip of the minute hand moves than the tip of the hour hand, subtract the latter from the former:
[tex]\begin{aligned}\implies \textsf{distance} & = \textsf{minute hand distance}-\textsf{hour hand distance}\\& = \sf 80 \pi - \dfrac{20}{3} \pi \\& = \sf \dfrac{220}{3} \pi \\& = \sf 230.38\: mm \:(nearest\:hundredth) \end{aligned}[/tex]
Related Questions
The lengths of the sides of triangle ABC are represented in terms of the variable m, where m > 6.
AB = m – 2
BC = m + 4
AC = m
List the angles from smallest to largest.
angle
, angle
, angle
✔ A
.
Answers
Answer:
m(C)<m(B)<m(A).
Step-by-step explanation:
1) according to the condition the shortest side is AB, the longest side is BC, the middle is AC. Then
2) the smallest angle is BCA (or C), the middle angle is ABC (or B), the largest angle is BAC (or A).
The list of the angles from smallest to largest are C, B and A.
Given that a triangle has side measurements represented in terms of the variable m, where m > 6.
AB = m - 2
BC = m + 4
AC = m
We need to list the angles from smallest to largest.
Since none of the sides are equal, therefore it is a scalene triangle.
Let us consider m = 6.
Then,
AB = m - 2
AB = 6 - 2
AB = 4
BC = m + 4
BC = 6+4
BC = 10
AC = m
AC = 6
It means that the longest side is BC, the medium side is AC and the shortest side is AB.
We know that the longest side of a triangle corresponds to the largest angle and vise versa.
Therefore,
The smallest angle is angle C.
The medium angle is angle B.
The largest angle is angle A
Learn more about Triangles click;
https://brainly.com/question/2773823
#SPJ7
Hi pls help me with an explanation as well pls, I’ll reward branliest answr
Answers
Answers:
blank 1 = 20blank 2 = 5.7blank 3 = 57============================================================
Explanation:
The perimeter p refers to the perimeter of the base polygon. We have five equal sides of 4 inches each, which therefore leads to a perimeter of p = 5s = 5*4 = 20
The perimeter is 20 inches.
This is the answer for blank 1.
This is the amount of fencing needed to enclose the pentagonal base.
-------------------------------
The l, aka lowercase L, is the slant height. It refers to the distance from the midpoint of any side of the base to the peak of the pyramid.
The diagram shows the slant height is 5.7 inches which is the answer for blank 2.
-------------------------------
LA = lateral surface area
The lateral area is the area of everything except for the base polygon.
Each triangle has a base of 4 inches and height 5.7 inches.
Each triangle has an area of base*height/2 = 4*5.7/2 = 11.4 square inches.
Five such identical copies yields a total LA of 5*11.4 = 57 square inches which is the answer for blank 3.
For each blank, you'll only enter the number itself of course.
The 2.8 in the diagram is never used. It's only useful if you needed to find the volume.
Find the area of each regular polygon below. Round values to the nearest 0.01. Show work for all steps clearly.
Answers
The area of the hexagon and pentagon area 779.4cm^2 and 84.303cm^2 respectively.
Data;
apothem = 15Area of a HexagonThe area of a hexagon with apothem 15 can be calculated by first finding the length of the side of the hexagon.
Length of hexagon can be found using trigonometric ratio;
[tex]a = x\sqrt{3}[/tex]
Making x the subject of formula
[tex]x = \frac{a}{\sqrt{3} }\\x = \frac{15}{\sqrt{3} }\\x = 8.660[/tex]
And then the length of the side is 2x
[tex]s = 2 * 8660 = 17.32[/tex]
The perimeter of the hexagon is;
[tex]p = 6s \\p = 6 * 17.32=103.92[/tex]
And the area is given as
[tex]A = \frac{1}{2} * perimeter * apothem\\A = \frac{1}{2} * 103.92 * 15\\A = 779.4unit^2[/tex]
The area of the hexagon is 779.4 squared unit.
Area of the pentagonThe area of the pentagon can be found using several methods, but we can simply find the angle between the sides if we divide the pentagon into 10 pieces and then substitute the formula.
Total area of a pentagon is 360 degree.
[tex]\theta = \frac{360}{10} = 36^0\\[/tex]
The area of a pentagon is given as
[tex]A = \frac{5s^2}{4 tan \theta} \\A = \frac{5 * 7^2}{4* tan36} \\A = 84.303cm^2[/tex]
The area of the pentagon is 84.303cm^2
From the calculations above, the area of the hexagon and pentagon area 779.4cm^2 and 84.303cm^2 respectively
Learn more on area of polygons here;
https://brainly.com/question/1592439
Scoopers ice cream shop sells one scoop of ice cream for $1.60. They sell three scoops for $4.80. How much money is needed to buy two scoops of ice cream?
Answers
Answer:
$3.20
Step-by-step explanation:
1.60 x 2 = $3.20
You need $3.20 to buy 2 scoops of ice cream.
Answer:
Step-by-step explanation:
Since the cost of one ice cream scoop is $1.60, you would either have to add $1.60 two times, or multiply 1.60x2.
$1.60+$1.60 or 1.60x2=$3.20.
Therefore, the answer to the question would be “$3.20 would be needed to buy two scoops of ice cream.”
A paperweight in the shape of a rectangular prism is shown: A right rectangular prism is shown with length 10 cm, width 4 cm, and height 4 cm. If a cross section of the paperweight is cut parallel to the base, which shape describes the cross section? Rectangle Triangle Parallelogram Hexagon
Answers
Answer:
triangleStep-by-step explanation:
draw a square and cut it from the top right corner to the bottom left corner it makes a triangle
In a square, the diagonals...
a. bisect the angles
b. are perpendicular
c. are congruent
d. all of the above
Answers
Answer:
all the above.
your welcome
How much will Audrey earn if she earns $13.00 for each hour worked , works 43 hours, and has payroll deductions of $167.70?
Answers
Answer:
391.3
Step-by-step explanation:
13x43=559
559-167.70=391.3
Write the following in scientific notation
Answers
Answer:
3.25 x 10^-4
Step-by-step explanation: mark brainliest
im in nearpod
answer show wrk
Answers
Answer:15 boxes with 4 left over have a great day :)
Step-by-step explanation:
When solving this equation for x, what would you do next?
Answers
Answer: A. Distribute the 3 outside of the parathesis to everything inside the parenthesis
We use the order of operations, also known as PEMDAS.
Since there is a variable inside the parenthesis, we cannot add/subtract 4. This means the next step is to distribute.
After distributing, the equation looks like this and we can solve it from there:
4x + 12 = 30
For a football game. Adult tickets are 8 dollars and student tickets are 5 dollars. The school sells 2570 tickets and makes a total of $19,060.
how many adult ticket were sold
how many student tickets were sold
Answers
But,
$8(adults) + $5(students) = $19060
And,
Adults + Students = 2570
Let A = adults and S = students
8A + 5S = 19060
A + S = 2570
This is called a system of equations. To solve, you need to rearrange both equations to solve for one of the variables, you can pick any. This makes them cancel out so you can focus on 1 variable. After solving, you can plug the solved variable back into any of the given equations and solve for the second one.
S = 19060/5 - 8A/5
S = 3812 - (8A/5)
This is the first equation rearranged to solve for S
Second:
A + S = 2570
S = 2570 - A
Now, equal each other
3812 - (8A/5) = 2570 - A
Solve for A
3812 + A = 2570 + 8A/5
19060 + 5A = 12850 + 8A
19060 - 12850 = 3A
6210 = 3A
2070 = A
There were 2070 adults
Now, plug A back into any of the 2 equations and solve for S
A + S = 2570
2070 + S = 2570
S = 2570 - 2070
S = 500
2070 adult tickets were sold
500 student tickets were sold
What are the zeros of the function f(x) = x2 + 7x – 18? Enter your answers in the boxes with your greatest answer first. The zeros of f(x) ar AN A/
Answers
Answer:
The answer is 2 and (-9)
Step-by-step explanation:
x² + 7x – 18 = 0
x² + 9x – 2x – 18 = 0
x(x + 9) – 2(x + 9) = 0
(x – 2) (x + 9) = 0
x = (2, -9)
Thus, The zeroes of the polynomial is 2 and (-9).
10 + X/3 = 13 what does The X Equal to?
Answers
[tex] \Large{\boxed{\sf x = 9}} [/tex]
[tex] \\ [/tex]
Explanation:Given equation:
[tex] \sf 10 + \dfrac{x}{3} = 13 [/tex]
[tex] \\ [/tex]
Subtract 10 from both sides:
[tex] \sf 10 + \dfrac{x}{3} - 10 = 13 - 10 \\ \\ \sf \dfrac{x}{3} = 3 [/tex]
[tex] \\ [/tex]
Multiply both sides by 3:
[tex] \sf 3 \times \dfrac{x}{3} = 3 \times 3 \\ \\ \\ \boxed{\boxed{\sf x = 9}} [/tex]
[tex] \\ \\ [/tex]
▪️Learn more about equations here:
↣https://brainly.com/question/19225782
Answer:
X = 9Step-by-step explanation:
In this question we have provided an equation that is 10 + X/3 = 13 . And we're asked to find the value of X .
Solution : -
[tex] \longmapsto \qquad \: 10 + \dfrac{X}{3} = 13[/tex]
Step 1 : Multiplying with 3 on both sides :
[tex]\longmapsto \qquad \:(10 + \dfrac{X}{3} ) \times 3=13\times3[/tex]
Now by using distributive property multiplying 3 with 10 as well as X/3 :
[tex] \longmapsto \qquad \: (10 \times 3) + ( \dfrac{X}{ \cancel{3}} \times \cancel{3}) = 13 \times 3[/tex]
On calculating further , We get :
[tex] \longmapsto \qquad \: 30 + X = 39[/tex]
Step 2 : Subtracting with 30 on both sides :
[tex] \longmapsto \qquad \: \cancel{30} + X - \cancel{30} = 39 - 30[/tex]
On calculating further , We get :
[tex] \longmapsto \qquad \: \purple {\underline{{\boxed{\frak{X= 9}}}}}[/tex]
Henceforth, value of X is 9 .Verifying : -
Now we are checking whether our answer is correct or wrong by substituting values of x in given equation . So ,
10 + X/3 = 1310 + 9/3 = 1310 + 3 = 1313 = 13L.H.S = R.H.SHence , Verified .Therefore , our value for x is correct .
#Keep LearningSolve 64x2 - 121 = 0 using square roots.
Answers
Using the square root property to solve this 64x² - 121 = 0, the value of x is - 11 / 8 and 11 / 8.
How to solve quadratic equation using square root property?64x² - 121 = 0
add 121 to both sides of the equation
64x² - 121 + 121 = 0 + 121
64x² = 121
divide each term by 64 and simplify
64x² / 64 = 121 / 64
x² = 121 / 64
Take the square root of both sides of the equation to eliminate the exponent on the left side
√x² = ±√ 121 / 64
Simplify the right side of the equation.
x = ± 11 / 8
Therefore,
x = 11 / 8, - 11 / 8
learn more on square root property here: https://brainly.com/question/3506989
pls simplify this will give brainly and a lot of points!!!!! 5:00min
Answers
Answer:
More details please ._.
Step-by-step explanation:
[tex] \frac{{b}^{4} }{ {a}^{2} {c}^{2} } [/tex]
explanation:
There's 4 as in the denominator which cancels out the 2 in the numerator. Thus leaving you with 2 as in the denominator. Then there's only 1 b I the denominator which is canceled out by the ones in the numerator, leaving you with only 4 b's in the numerator. Finally there is only 1 c in the numerator which is canceled out by the ones in the denominator. Thus leaving you with 2 c's in the denominator.
Find the center and radius of the circle represented by the equation below.
(x − 13)² + (y + 11)² = 361
-
Center:
Radius:
Answers
Answer: Center: (13, -11)
Radius: 19
Step-by-step explanation: yeah
Abraham is three times as old as Sylvia.
In eight years' time, Abraham will be
twice as old as Sylvia. How old is
Abraham?
Answers
Answer:
24 years old
Step-by-step explanation:
let x = age of abraham, y = age of sylvia
x = 3y
x + 8 = 2y+16 => (2(y+8))
3y + 8 = 2y + 16
y = 8
x = 3(8)
x = 24
Out of 1200 students in a school , 24% were girls . How may boys were there?
Answers
Answer:
912
Step-by-step explanation:
number of girls :
[tex]1200\times \frac{24}{100} =12\times 24=288[/tex]
number of boys :
1 200-288 = 912
factor each completely
m^2 + m - 90
Answers
Answer:
(m - 9) (m + 10)
Step-by-step explanation:
m² - 9m + 10m - 90
(m² - 9m) + (10m - 90)
m(m - 9) + 10 (m - 9)
Final answer;
(m - 9) (m + 10)
Please help me with the question below thanks.
p.s who every gives the right answer will be the brainliest :)
Answers
Answer:
200.96 inches squared
Step-by-step explanation:
lookie here! pretend the circle is a cookie. ok i love cookies. NOW IM MOTIVATED. lookie here, its just the way the cookie tear.
alright so your teacher told you that the area of a circle is 3.14 times the radius squared.
the radius here is 8 inches. 8 squared is eight times eight. that is 64.
cool. now 64 times 3.14 is:
200.96
amazing
(prepare to get hurt and mangled, like kurt angle, rookie year!)
i hope you have a swag day
PLS HELP ASAP the area of the circle is 64pi square cm what is the radius of the circle in cm
8 cm
9cm
6cm
16cm
Answers
Answer:
8cm
Step-by-step explanation:
[tex]Here,\\\\Area(A)=64\pi cm^{2} \\Radius(r)=?\\\\As\:we\:have,\\\\\hookrightarrow Area=\pi r^{2} \\\\\hookrightarrow \frac{64\pi cm^{2} }{\pi } =r^{2} \\\hookrightarrow 64 cm^{2} =r^{2} \\\\\hookrightarrow \sqrt{64cm^{2} } =r\\\\\hookrightarrow 8cm=r\\\\\hookrightarrow r=8cm[/tex]
Answer:
[tex]\huge\boxed{\bf{radius_{circle} = 8cm}}[/tex]
Step-by-step explanation:
Given:-
[tex]\tt Area_{circle} = 64\pi cm^2 [/tex]To find:-
[tex]\tt radius_{circle} = ?[/tex]Ans:-
[tex]\sf \to Area_{circle} = \pi*r^2 [/tex]
[tex]\sf \to 64\cancel{\pi} cm^2 = \cancel{\pi}*r^2 [/tex]
[tex]\sf \to 64cm^2 = r^2 [/tex]
[tex]\sf \to r = \sqrt{64cm^2} [/tex]
[tex]\sf \to r = 8cm [/tex]
therefore [tex]\tt radius_{circle} [/tex] = 8cm
[tex]\: [/tex]
[tex]\huge\colorbox{skyblue}{BlackPain}[/tex]
- You work in the human resources department of a
company. Per the employee benefits package, each
employee earns 1 and 1/2 vacation days per month. You
need to calculate the total number of vacation days
that an employee earns in a year. How many total
vacation days will an employee earn in a year?
Answers
Answer:
18 Days Off
Step-by-step explanation:
Firstly, to solve this question you have to identify how many months are in a year; that's 12. So now we know:
Each employee can take 1 1/2 days off in a monthThere are 12 months in a yearMaking a formula for calculation is the best way to do this, especially since we now have all of the information needed to answer.
VacationDays=1 [tex]\frac{1}{2}[/tex] × 12
Vacation days are the total number of vacation days in a year.
∴VD= 1 [tex]\frac{1}{2}[/tex] x 12
VD= 18
∴Total vacation days equal 18
Each employee gets 18 vacation days in a year.
Three faces of a cube are randomly selected. What is the probability that they have
a common vertex? Express your answer as a common fraction
Answers
The probability that they have a common vertex is 20%.
ProbabilitySince three faces of a cube are randomly selected, to determine what is the probability that they have a common vertex, the following calculation must be performed:
1x2/5x2/4 = X1x0.4x0.5 = X0.2 = XTherefore, the probability that they have a common vertex is 20%.
Learn more about probability in https://brainly.com/question/12540915
How many angles are formed by intersecting roads? Number the angles
Answers
Answer:
When two lines intersect and form 4 angles at the intersection, the two angles that are opposite each other are called “opposite angles” or “vertical angles” and these vertical angles are “congruent” – meaning they have the same shape and size.
Step-by-step explanation:
Determine the equation of a circle with its centre at the origin in the Cartesian plane and with a radius of 2√3 units
Answers
Answer:
x^2 + y^2 = 12
Step-by-step explanation:
For a circle with the center at the origin [(h,k) is (0,0)]
use the formula:
x^2 + y^2 = r^2
In this case r is 2sqroot3.
(2sqroot3)^2 is 12.
2•2•sqrt3•sqrt3
= 4•3
= 12
So we get,
x^2 + y^2 = 12
Select the reason that best
supports Statement 6 in the
given proof.
A. Transitive Property
B. Subtraction Property of Equality
C. Substitution
D. Division Property of Equality
AB=18
Answers
Answer: Subtraction property of equality
Step-by-step explanation:
They subtracted 6 from both sides to get AB=18.
Write a real world problem that can be presented by the equation y + 20 = 85
Answers
quick qustion the answer is at the tip of my tong but I cant seem to get it right what is 100 divided by 2
Answers
Answer:
50
Step-by-step explanation:
100/2=50
Answer:
100 divided by 2 is 50
Step-by-step explanation:
i just did it in my head
please find the area
Answers
the answer is 70.2 ft because u add them all together
Answer:
the area is 243
see the photo
Adriana uses models to compare two decimal numbers. She says 0.53 is greater than 0.7 because 53 > 7.
A square partitioned into one hundred equal parts with fifty three parts shaded. To the right is a square partitioned into ten equal parts with seven parts shaded.
Which of these explains Adriana's mistake? (3 points)
a
Adriana incorrectly compared hundredths to tenths. She should compare 53 hundredths to 70 hundredths.
b
Adriana incorrectly compared tenths. She should compare 5 hundredths to 3 hundredths.
c
Adriana incorrectly shaded the models. She should shade seven more hundredths.
d
Adriana incorrectly counted the number of shaded parts in the models. She should compare 6 shaded parts to 7 shaded parts.
Answers
Answer:
A is your answer.
Step-by-step explanation:
.7 is the same as .70 and .70 is to the left of .53, indicateing that she incorrectly compared the hundreths to the tenths.