Answer:
The sprinkler will cover an area of [tex]50m^2[/tex]
Step-by-step explanation:
Given
[tex]Area = 240m^2[/tex]
[tex]\theta = 75^{\circ}[/tex]
Required
Determine the amount of area it can cover
The amount of area is calculated by calculating the area of a sector using:
[tex]Sector\ Area =\frac{\theta}{360^{\circ}} * \pi r^2[/tex]
Where:
[tex]Area = \pi r^2 = 240m^2[/tex]
So, we have:
[tex]Sector\ Area =\frac{\theta}{360^{\circ}} * 240m^2[/tex]
Substitute 75 for [tex]\theta[/tex]
[tex]Sector\ Area =\frac{75^{\circ}}{360^{\circ}} * 240m^2[/tex]
[tex]Sector\ Area =\frac{75^{\circ}* 240m^2}{360^{\circ}}[/tex]
[tex]Sector\ Area =\frac{75* 240m^2}{360}[/tex]
[tex]Sector\ Area =\frac{18000m^2}{360}[/tex]
[tex]Sector\ Area =\frac{18000}{360} m^2[/tex]
[tex]Sector\ Area =50m^2[/tex]
Hence, the sprinkler will cover an area of [tex]50m^2[/tex]
Which one is the answer for this question?
x =
5
6
10
Answer:
10
вот правильный ответ) я точно проверяла
Answer:
6
Step-by-step explanation:
Hope this helps.
PLEASE HELP ASAP!!
In 2015, the cost of bread was $0.40. In 2021, the cost of bread is $2.00. What is the percent of change?
ILL GIVE BRAINLIEST
The volume of a box is 231 cubic inches. The width is 7 inches. The length is 8 inches more than the height. Find the missing dimensions.
Answer:The missing dimensions are now
width =7inches
length = 11 inches
Height = 3 inches
Step-by-step explanation:
Volume of a box is given as =width x length x height 231 in^3
Given
width = 7 inches
height =represented as h
l = 8 inches more than the height= 8+h
V = w x l x h
231 = 7(8+h)(h)
231=( h² + 8h)7
231/ 7= h²+8h
33= h²+8h
Giving us the quadratic equation
h² + 8h - 33 = 0
=(h-3)(h+11) = 0
h-3= 0
h= 3 also h+11=0, h=-11
h= 3 or -11
Since the value of height cannot have a negative value,
h = 3inch
l = 8+h = 8+3 = 11 in
The missing dimensions are now
width =7inches
length = 11 inches
Height = 3 inches
Match the number on the net with the appropriate vertex on the prism.
Answer:
1. D
2. A
3. H
4. C
5. G
Step-by-step explanation:
In the figure, shown, AD, CE, and FB intersect at point F. Find the value of x.
Answer:
8
Step-by-step explanation:
∡AB + ∡BC + ∡CD = 180°
∡CD = ∡AE
∡AB + ∡BC + ∡AE = 180°
(8x + 6)° + (6x + 2)° + (7x + 4)° = 180°
8x + 6 + 6x + 2 + 7x + 4 = 180
21x + 12 = 180
21x = 180 - 12
21x = 168
x = 8
write an equation for a line perpendicular to y=-2x+1 and passing through the point (-4,3)
Answer:
Step-by-step explanation:
The reference line has a slope of -2. A perpendicular line will have a slope, m, that satisfies
-2m=-1, so it will have a slope of 1/2 then our line y=mx+b becomes
y=x/2+b, using point (-4,3) we have
3=-4/2+b
3=-2+b
b=5 so our line is
y=x/2+5 or more neatly
y=(x+10)/2
What is m/3= -1.5 what is m???
Answer:
-4.5
Step-by-step explanation:
M would be -4.5 because if you multiply -1.5 by 3 you get -4.5. Therefore the equation would be -4.5/3= -1.5 .
Hope this helps :))
ZA=
Round your answer to the nearest hundredth.
A
?
5
B
3
need help please
to find X
Answer:
[tex] \boxed{x = 86 \degree}[/tex]
Three runners in a relay race share the 8-mile distance equally. How many miles does each runner travel?
Answer: 2 2/3 miles
Step-by-step explanation:
From the question, we are informed that three runners in a relay race share the 8-mile distance equally.
The number of miles that each runner travel will be the total miles divided by number of runners. This will be:
= 8/3
= 2 2/3 miles
If the FDIC has an insurance fund of $67.8 billion and must use 7.6% of it to cover several failed banks, approximately how much money is left in the fund?
Answer: D
Step-by-step explanation: correct on edg 2021
Solve the system of equations 2x - 2y = - 14 and 2x + 6y = - 6 by combining the equations.
sorrryy I don't know how to delete this so...
Step-by-step explanation:
step 1. first combine by subtraction.
step 2. 0x -8x = -8
step 3. y = 1
step 4. x = -6.
step 5. the answer is (-6, 1).
Plz help I’m timed!!!!
Answer:
(x, y) right-arrow (x minus 5, y minus 3)
Step-by-step explanation:
we know that
The translation of the pre-image STU to the image ST'U' is 3 units down and 5 units to the left
That means
3 units down -----> y-3
5 units to the left -----> x-5
therefore
The rule of the translation is
(x,y) -----> (x-5,y-3)
How do I make the pain go away?
Please help
What is 2 2/3 - 4/5
Answer:
1 13/15 yards
Step-by-step explanation:
2*3 = 6
6+ 2 = 8
8/3 * 5 = 40/15
4/5 * 3 = 12/15
40-12 = 28
28/15 = 1 13/15
Answer:
[tex]1 \frac{13}{15}[/tex]
Step-by-step explanation:
We have two fractions and are being asked to subtract them.
Since 2 2/3 and 4/5 don't have the same denominator, we must use the LCM expression, which means to find the lowest common multiple. So what is the lowest multiple of 3 and 5, this would be 15.
[tex]\frac{8*5}{3*5} - \frac{4*3}{5*3}[/tex]
[tex]\frac{40}{15} - \frac{12}{15}[/tex]
Now subtract :
[tex]\frac{28}{15}[/tex]
[tex]1\frac{13}{15}[/tex]
A basketball game has four quarters. The length of a game is 32 minutes. You play the entire game except 4 1/2 minutes. Write and solve an equation to find the mean time you play per quarter.
Answer:
3x-45+100=?
Step-by-step explanation:
Answer:
46
Step-by-step explanation:
What is the length of segment AC?
The y difference of the 2 lines are 6(you can just count these)
The x difference of the 2 lines are 8(again you can count this)
Now calculate distance using distance formula (the pythag theorem)
sqrt(6^2+8^2)=sqrt 100= 10
Therefore the distance of AC is 10.
A rental car company offers a rental package for a mid-size car. The cost is comprised of a fixed \$ 40$40 administrative fee for the cleaning and maintenance of the car plus a rental cost of \$ 45$45 per day. Using xx for the number of days and yy for the total cost in dollars, construct a linear function to model the relationship between the number of days and the total cost of renting a mid-size car.
Answer:
y = 40 + 45x
Step-by-step explanation:
Fixed administrative fee for the cleaning and maintenance of the car = $40
rental cost = $45 per day
x = number of days
y = total cost in dollars
y = 40 + 45x
This shows the relationship between the number of days and the total cost of renting a mid-size car.
a line passes through the points (4,23) and (8,27). write a linear funtion rule in terms of x and y for this line
Answer:
Step-by-step explanation:
(27 - 23)/(8 - 4)= 4/4= 1
y - 23 = x - 4
y = x + 19
For a school fundraiser, Tory sold 28 bags of popcorn and 40 candy bars and made $282. Jake sold 17 bags of popcorn and 20 candy bars and made $160.50.
Write a system of equations which represents this situation.
A. 28p + 17p and 40c + 20c = 160.50
B. 28p + 20c = 282 and 17p + 40c = 160.50
C. 28p + 40c = 282 and 17 + 20c = 160.50
D. 28p + 40c + 17p + 20c = 282 + 160.50
help????????????????????
Answer:
x=11
Step-by-step explanation:
12x+2 and 2x+112 are opposite exterior angles so they are congruent
Answer:
x=11
Step-by-step explanation:
12x + 2 and 2x + 112 are vertical angles meaning that they are equal to each other so we set up an equation that says 12x + 2 = 2x + 112 and solve for x
12x+2=2x+112
step one subtract 2 from each side
12x=2x+112
step 2 subtract 2x From each side
10x=110
step three divide each side by 10
x=11
You deposit $1,600 in a bank account. The account pays 3% annual Interest compounded monthly. Find the balance after 5 years
Step-by-step explanation:
step 1. let's call the amount of money A, the initial amount P, the yearly rate r, the number of compounds per year n.
step 2. A = P(1 + r/n)^(nt)
step 3. A = 1600(1 + .03/12)^((12)(5)
step 4. A = 1600(1.0025)^(60)
step 5. A = $1858.59
Steven sold his old car and deposited the $3500 in a savings account at 3.5 percent interest for 2.5 years.
What was the total amount of money in the account at the end of this time?
Answer:
3500.035
I'm not sure
.
Step-by-step explanation:
.
Answer: It’s $3,806.25
Step-by-step explanation:
No explanation, I did the quiz and the other person who answered gave an answer that wasn’t in the multiple answers so I guessed and got it correct.
The altitude of an airplane is decreasing at a rate of 40 feet per second. What is the change in altitude of the airplane over a period of 20 seconds?
Answer:
Step-by-step explanation:
-40t
-40(20)
-800 ft
an inground rectangular pool has a concrete pathway surrounding the pool. If the pool is 16 feet by 32 feet and the entire are of the pool including the walkway is 924ft^2, find the width of the walkway.
Answer:
Step-by-step explanation:
[tex](32+2W)(16+2W)=924\\ \\ 4W^2+96W+512=924\\ \\ 4W^2+96W-412\\ \\ W^2+24W-103=0\\ \\ W=-24\frac{\sqrt{988}}{2}\\ \\ W\approx 3.72ft[/tex]
If the points at (-4, 3) and (2, 3) are reflected over the x-axis to create two new points, what shape can be formed by the four points? Select the most precise description of the shape.
square
rectangle
triangle
trapezoid
Answer:
square
Step-by-step explanation:
plz help!!! i’ll mark brainliest!!!!
Step-by-step explanation:
go to rcboe.org sorry if it doesn't work
Whos your favorite character from Miraculous Ladybug?! mines Alya and of course cat noir he kinda cute
Answer:
CAT NOIR
He's cool and my cousin's fav characters LOL
Step-by-step explanation:
um, he's cool i guess?
Answer:
I like Mari and Luca bc he is rlly cute for me
Please Help!!!!!!!!!
Answer:
you either need to multiply or add im on that question
Step-by-step explanation:
Answer:
x = 115°Step-by-step explanation:
Refer to attached picture
The small triangle on the top left has one angle 50° and the other two are same:
180° - x, as they for a straight angle with xSum of the angles in the triangle:
50° + 2(180° - x) = 180°50 + 180° - 2x = 02x = 230°x = 115°What is the y-intercept? y = -1/3x + 4
Answer:
4
Step-by-step explanation:
the y intercept is never with another variable, -1/3 would be the slope
