123.15 ft²
[tex]\bold{area \ of \ sector = \sf \dfrac{\theta}{360} * \pi * radius^2}[/tex]
[tex]\hookrightarrow \sf \dfrac{72}{360} * \pi * 14^2[/tex]
[tex]\hookrightarrow \sf 123.15 \ ft^2[/tex]
Answer:
123.2ft rounded answer
Step-by-step explanation:
5 people build 3 huts in 21 days . Find the number of people that will build 6 huts in 15 days ?
3 huts are built by 5 people in 21 days.
So 1 hut is built by 5 people in 7 days.
That is to say, 1 hut requires 5*7 = 35 man-days.
Which means 6 huts need 6*35 = 210 man-days.
If the time available is 15 days, 6 huts will need 210 man-days/15 days = 14 people.
Answer = 14 people.
Please answer with steps
question down below
Answer:
n = 6 probably
Step-by-step explanation:
10 + I 10n + 6 I+ = 76
since " I I " means it will always be positive we can kinda just ignore it
10 + 10n + 6 = 76
16 + 10n = 76
10n = 76 - 16
10n = 60
n = 6
In class VIII, there are 140 students. The ratio of boys to girls is 4:3. a) Find number of girls. b) Find number of boys.
Answer:
A) 60 girls B)80 boys
Step-by-step explanation:
Pretend that the ratio is a fraction. If there are 4 boys for every 4 girls, than pretend that you add the 4 and the 3 together, thus giving you 7 as your denominator. Start with the girls, giving you a fraction of 3/7, multiply by 140, you get 60 as the number of girls. 140-60=80, giving you 80 boys.
Rs 515 is divided between Sangeetha and Manish in the ratio 4 :1
( i) Find the amount Sangeetha gets
(ii) Find the amount Manish gets
(iii ) Sangeetha’s share is more than Manish by
Sangeetha got Rs. 412, Manish got Rs. 103 and the difference is Rs. 309
Data;
Ratio = 4:1Amount shared = 515The amount Sangeetha gotTo calculated the amount Sangeetha got, let's solve the ratio
[tex]4 + 1 = 5\\\frac{4}{5} * 515 = 412[/tex]
Sangeetha got Rs 412.
The amount Manish gotTo calculate the amount Manish got we can either subtract 412 from 515 or we find 1/5 of 515
[tex]\frac{1}{5} * 515 = 103[/tex]
Difference in the amountThe difference in the amount is calculated by subtracting 412 from 103
[tex]412 - 103 = 309[/tex]
Learn more on ratios here;
https://brainly.com/question/1781657
A-b =56
A:b is equal to 9:2
Answer:
A = 72
B = 16
Step-by-step explanation:
Ratio problems can often be worked by considering them in terms of "ratio units." Here, the difference in ratio units is 9-2 = 7. The difference between the actual numbers is A -B = 56. This means each ratio unit stands for an actual number value of 56/7 = 8
Then the ratio of actual values is ...
A : B = (9·8) : (2·8) = 72 : 16
Check: These actual values of A and B have a difference of 72-16 = 56.
(A, B) = (72, 16)
A washing machine costs 1,230. You catch the item on sale and save $369. What percent did you save on the washer
Answer:
so we have to find what percentage 369 is of 1230
369/1230=0.3
so they save 0.7 or 70%
Hope This Helps!!!
Answer:
Step-by-step explanation:
1,230/569= 3.3 or 87-89%
Verify that - (-x) = r for
(1). x =2/15
(2).x=-13/17
Answer:
1.-(-2/15)=2/15
2.-(-13/17)=13/17
Step-by-step explanation:
AB is a chord of a circle of radius 5cm the distance of AB from the centre is 3cm then AB is?
Answer:
8 cm
Step-by-step explanation:
We first want to draw a diagram with the given information.
I am unsure if the image shows below, or if it is an attachment.
We then see we have a right triangle. What is a theorem that is commonly associated with right triangles?
So we use the pythagorean theorem to find the missing leg of the triangle has a length of 4 cm. But how does this help us? Well, when finding the distance from the center of a circle to a chord, we always find the line that is perpendicular to the chord and divides it in half (and passes through the center), and find the length.
So, the leg of length 4 we just found? That's half of our answer.
Since 4 × 2 = 8, we know that the length of AB is 8 cm.
Use the following compound interest formula to complete the problem. a = p (1 startfraction r over n endfraction) superscript n superscript t rodney owes $1,541.05 on his credit card. his card has an apr of 16.29%, compounded monthly. assuming that he makes no payments and no purchases, how much will he owe after one year? a. $1,561.97 b. $1,811.70 c. $1,792.09 d. $1,541.05 please select the best answer from the choices provided a b c d
The amount that he owes after one year is 1792.09 dollars. Then the correct option is C.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
Rodney owes $1,541.05 on his credit card.
His card has an APR of 16.29%, compounded monthly.
Assuming that he makes no payments and no purchases.
He owes after one year will be
Amount = 1541.05 × 1.1629
Amount = 1792.087 ≅ 1792.09
More about the percentage link is given below.
https://brainly.com/question/8011401
A box is 1/5 inch taller than it is wide
Help with finding out if an equation has multiple solutions.
Answer:
Exactly one solution.
Step-by-step explanation:
When you simplify and combine like terms, you end up with 23y=0. This means that y=0 is the one and only solution.
Answer:
B
Step-by-step explanation:
23y+50+27y=50y+50
find your same like terms and solve
23y+27y+51y
51y+50=50y+50
51y +50y=50+50
you would be left with one solution
101y=100
James has 858 feet of rope. There are 18 teams of hikers.
If James gives an equal amount of rope to each team, how much rope will each team receive?
The answer is a fraction. also simplify
Answer:
48 or 47
Step-by-step explanation:
858/18 = 47.6
The vertices of ATM are A(3,-1), T(1,5) and M(-1,2). Find the slope of the altitude
from T to AM.
Answer: 4/3
Step-by-step explanation:
A carousel has a radius of 20 feet. The carousel makes 8 complete revolutions. How many feet does a person on the carousel travel during these 8 revolutions
The number of feet a person on the carousel travels in 8 revolutions is 1004.80 feet
What is the circumference of a circle?The circumference of a circle is the distance round the circle. It is the perimeter of the circle.
circumference of a circle = 2πr
2 x 20 x 3.14 = 125.60 feet
Number of revolutions = 8 x 125.60 feet = 1004.80 feet
To learn more about how to determine the circumference of a circle, please check: https://brainly.com/question/14351152
Using the Pythagorean Theorem What is the length of side a when b=24 and
c=262
Answer:
261
Step-by-step explanation:
a²+b² = c²
Given, a = ?
b = 24
c = 262
a² = c² - b²
a²= 262² - 24²
a² = 68644 - 576
a² = 68068
a = √68068
∴ a= 260.89844
can be said as 261
Eemil is training for a marathon. The ratio of the number of minutes to the number of miles they run is 30 to 3. At this rate, how many minutes will it take Eemil to run the race (26.2 miles)?
Observe the pattern 5,9,13, 17. In this number pattern, find the algebraic expression ?
help me!!! please
and explain me please!!!
Answer:
+ 4
Step-by-step explanation:
The pattern of the expression is +4 as you see it goes 5 to 9
5 + 4=9
And if i'm correct the number after 9 will be 13 and it is
9 + 4=13
next it will be a 17 because 13 + 4=17
The next following numbers of the pattern will be 21 25 29 33 37 41 45
Hope it helps have a great day:)
Convert 3,450,000 into scientific notation.
Answer:
3.45 x 106
Step-by-step explanation:
Answer:
3.45 * 10⁶
Hope that helped :D
AWNSER CORRECTLY! 50 POINTs
Answer:
y = x+4
Step-by-step explanation:
Using the y=mx+b format, we can define the slope as 1...
1) y=1x+b or y=x+b
The y-intercept ( aka b )
2) y=x+4
Answer provided by Education Point
Answer:
[tex]\text{y = x + 4}[/tex]
Step-by-step explanation:
[tex]\text{Slope intercept form:}[/tex] [tex]\text{y = (m)x + (b)}[/tex] [tex]\text{[m = Slope; b = y-intercept]}[/tex]
To find the equation of the line, substitute the slope and the y-intercept in the slope intercept form formula.
[tex]\rightarrow \text{y = (m)x + (b)}[/tex]
[tex]\rightarrow \text{y = (1)x + (4)}[/tex] [tex]\text{[m = 1; b = 4]}[/tex]
[tex]\rightarrow\boxed{\bold{\text{y = x + 4}}}[/tex]
Learn more about slope intercept form:
https://brainly.com/question/20786109what is x of the rectangle?
Answer:
x = 8
Step-by-step explanation:
Since this is a rectangle, we know that each corner's angle is 90 degrees. (The box thing at the bottom right shows this.)
Since the two angles that make up angle E sum up to 90, we can make an equation:
(9x - 6) + (2x + 8) = 90
11x + 2 = 90
11x = 88
x = 8
Maria ran 4 7/8 miles on Monday she ran 2 and 3/8 miles on Friday how many miles to Maria run all together
Answer:
7 2/8
Step-by-step explanation:
40 is 1/10 of 400 please help me
Answer:
True statement
Step-by-step explanation:
400/10 = 40
so we can say the 40 is a tenth 400
22% as a fraction in it lower form
Answer:
11/50
Step-by-step explanation:
22% = 22/100 = 11/50
11/50 cannot be reduced further.
Find the upper bound for the following lengths:
b) 43.18 cm correct to 2 decimal places.
Answer:
43.185
Step-by-step explanation:
43.185.is the upper bound of 43.18 which is corrected to 2 decimal places.
What is upper bond?An element greater than or equal to all the elements in a given set
We need to find the upper bound of 43.18 cm correct to 2 decimal places
2 decimal place = 0.01
0.01 ÷ 2 = 0.005
So now add 43.18 and 0.005.
43.18 + 0.005 = 43.185.
Therefore 43.185.is the upper bound of 43.18 correct to 2 decimal places.
To learn more on Upper bound click:
https://brainly.com/question/22965427
#SPJ5
find the area of the polygon
Answer:
784m^2
Step-by-step explanation:
is a rectangle with sides of 40m and 20m, in the upper right corner a right triangle has been removed with the legs of: 40 - 32 = 8m and 20 - 16 = 4m, we find the area of the rectangle (b * h).
40 * 20 = 800m ^ 2, then we find the area of the right triangle
1/2 b * h: 1/2 8 * 4 = 16 m ^ 2.
we remove the area of the triangle from the rectangle and we have the area of the figure: 800 - 16 = 784m^2
The diagram shows a square pizza box with side lengths of 14 inches. In the box is a circular pizza with a radius of 6 inches. What is the difference between the area of box and the pizza?
Answer:
18cm
Explanation
2πr
2×22/7×6=38cm
4l=14×4=56
The difference=56-38=18cm
Eric is keeping track of rain water. On Monday it rained 1 3/4cm. On Tuesday it rained 2 1/8cm. How much more did it rain on Tuesday than on Monday
Answer:
It rained 3/8 cm more on Tuesday than Monday.
Step-by-step explanation:
What I first did is convert the fraction 3/4 into 6/8 (multiply both sides by two) so I could get a common numerator to solve the two fractions. Then, I gave one whole from the 2 wholes in 2 1/8 to 1/8 to make it easy to subtract with 6/8 (I wuldn't like to do 1/8-6-/8) and made it into 9/8. Then it's simple subtraction (oh yes and don't forget to turn the 2 into 1 since it lost a whole) and voila! 3/8 cm
what are the missing blanks?
Answer:
1 - 3 (1 quarter is 25 and a dime is 10, so, 3.)
4 - 10
6 - 15
14 - 33
Step-by-step explanation:
Question is is in the picture
Answer:
$5 per person
Step-by-step explanation:
3 people. 5 dollars each. 15 dollar admission. 3x5 is 15
how do you find the height of a cylinder?
Answer:
[tex]H = \frac{V}{\pi r^{2} }[/tex]
Step-by-step explanation:
So long as you have the volume and radius of a cylinder, it should be easy!
Simply divide the volume (V) of the cylinder by Pi Radius Squared ([tex]\pi r^{2}[/tex]).
That is the formula for finding the height of a cylinder!
I hope this helped!