Answer:
Approximate Total area that will be watered is 5887.5 feet²
Step-by-step explanation:
Radius of the Circular area that sprinkler cover , r = 25 feet
Number of sprinkler = 3
Area covered by 1 sprinkler = Area of circle
= πr²
= 3.14 × (25)²
= 3.14 × 625
= 1962.5 feet²
Area covered by 3 sprinkler = 3 × 1962.5 = 5887.5 feet²
Therefore, Approximate Total area that will be watered is 5887.5 feet²
The approximate total area that will be watered will be 5887.5 feet². Square centimeters and other similar units are used to measure area.
What is the area?The space filled by a flat form or the surface of an item is known as the area.
The number of unit squares that cover the surface of a closed-form is the figure's area.
The given data in the problem is;
r is the radius of the Circular area that sprinkler cover = 25 feet
n is the number of sprinklers = 3
The sprinkler executes a circular motion ;
Area covered by sprinkler = Area of the circle
The area covered by sprinklers is found as;
[tex]A_S = \pi r^2 \\\\ A_S = 3.14 \times (25)^2 \\\\\ A_S = 3.14 \times 625 \\\\ A_S= 1962.5 \ feet^2[/tex]
The area covered by the three sprinklers will be;
[tex]\rm A_S = 3 \times 196.25 \\\\ \rm A_S =5887.5 \ feet^2[/tex]
Hence approximate total area that will be watered will be 5887.5 feet².
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Order the numbers 0.64, 2/3 , 65%, and 7/10 from least to greatest.
Answer:
0.64, 65%, 2/3, 7/10
Step-by-step explanation:
The first step to solve this problem is writing all numbers on the same format:
I am going to write as percentages in the decimal format. So
0.64 = 0.64
2/3 = 0.667
65% = 65/100 = 0.65
7/10 = 0.7
So the correct answer is:
0.64, 65%, 2/3, 7/10
Mario has 3.875 liters of juice at the beginning of the day he drinks 2.79 liters during the day how much juice is left over st the end of the day
Answer:
The juice left at the end of the day is 1.085 liters.
Step-by-step explanation:
Juice at the beginning of the day: 3.875 liters
Juice drink by Mario during the day: 2.79 liters
Juice left at the end of the day = Juice at the beginning of the day - Juice drink by Mario during the day
= 3.875 - 2.79
= 1.085 liters
Leroy's total employee compensation was $50,150 last year. His total job expenses for traveling and for professional developement for the year were $3,500. Which of the following represents his total job benefits?
a.
$53,650
b.
$50,150
c.
$46,650
d.
$47,650
Answer is :
a.
$53,650
100% correct
Answer:
Correct answer is a.$53,650
Step-by-step explanation:
Total job benefits includes both employee compensation and the expenses for traveling and for professional development for the year.
So we need to add those together to fond the total job benefits.
Total job benefits = employee compensation + expenses for traveling and for professional development
Total job benefits = $[tex]50,150+3500[/tex]
=$[tex]53,650[/tex]
Therefore correct answer is a.$53,650
Answer:
a. $53,650
Step-by-step explanation:
Explain how you can use a model to find 4X 3/8. Include a drawing and a solution
What is the sum of the polynomials? (8x2-9y2-4x)+(x2-3y2-7x)
Answer:
D
Step-by-step explanation:
Compounding with different interest rates a deposit of $750 earns interest rates of 10.5 percent in the first year and 7.5 percent in the second year. what would be the second year future value? $890.91 $885.00 $829.43 $1,635.00
Please help me with questions 20
A principal of $2000 is invested at 8% interest, compounded annually. How much will the investment be worth afte 5 years?
Rewrite 17/20 and 21/25, so that they have a common denominator then use <,>or = to order 17/20 and 21/25
54 equals 9 more than a number t
A spherical helium balloon has a diameter of 30 cm. How much helium is needed to fill the balloon, in cubic centimeters? Round your answer to the nearest centimeter
Write at least three different expressions that mean “slope”
Answer:
Step-by-step explanation:
Considering 'm' as the slope of a function y=f(x) we can have:
1. m=(y2-y1)/(x2-x1) which is the slope of a line based on two points from the line.
2. m=dy/dx which is the slope of the function y=f(x) in (x,y) by the derivative.
3. m=tan(Ф) which is the slope of a line when the angle (Ф) with respect x-axis is known.
A dice is rolled, then a coin is tossed. What is the probability of getting a 5 then tails?
The chance of rolling a 5 on a six-sided dice is 1/6, and the probability of getting a tails in a coin toss is 1/2. The total probability of both these independent events occurring is (1/6) * (1/2) = 1/12 or approximately 0.0833 on a decimal scale.
Explanation:The question is asking for the probability of rolling a 5 on a dice and then getting a tails on a coin toss. To get the total probability, we multiply the individual probabilities together.
First, let's consider a fair six-sided die. The chance of rolling a 5 (or any specific number between 1 and 6) is 1/6.
Next, we consider a fair coin, which has two outcomes: heads or tails. So, the probability of getting tails is 1/2.
The total probability of both these events occurring is (1/6) * (1/2) = 1/12. So, the probability of rolling a 5 and then tossing a tail is 1 in 12 or approximately 0.0833 on a decimal scale.
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A circle has radius of 119.3 mm. What is the circumstance of the circle
which equation is equivalent to log3(x+5)=2
Beethoven wrote 9 symphonies and mozart wrote 27 piano concertos. if a university radio station announcer wishes to play first a beethoven symphony and then a mozart concerto, in how many ways can this be done?
There are 243 different ways the university radio station announcer can play a Beethoven symphony followed by a Mozart concerto, calculated by multiplying the number of Beethoven symphonies (9) by the number of Mozart concertos (27).
Explanation:To determine how many different ways the university radio station announcer can play a Beethoven symphony followed by a Mozart concerto, we use the fundamental principle of counting. Since there are 9 Beethoven symphonies and 27 Mozart piano concertos, we multiply the two numbers together.
The calculation is as follows:
Beethoven symphonies: 9 optionsMozart concertos: 27 optionsTherefore, the total number of combinations for playing one Beethoven symphony followed by one Mozart concerto is:
9 symphonies × 27 concertos = 243 possible combinations
This shows there are 243 different ways the radio station announcer can choose a pairing of a Beethoven symphony and a Mozart concerto to play back-to-back.
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Is the given sequence arithmetic? If so, identify the common difference. 3.2, 3.5, 3.8, 4.1, . . .
Texas has 254 counties, California has 58 counties, Florida has 67 counties,how many more counties does texas have than the number of counties in California and Florida combined
Describe two different methods to find the elapsed time from 2:30 PM to 2:58 P. M.
The hypotenuse of a right triangle measures 10 inches, and the side opposite to ∠θ, one of the non-right angles, is 5 inches long. The measure of ∠θ is
10 POINTS!!!
Premier Tire sells three categories of tires: good, better, and best. The good tires cost $106, the better tires cost $156, and the best tires cost $190. The good tires sell 3 times as fast as the best tires and the better tires sell 2.5 times as fast as the best tires. If the total amount of tire sales in January was $233,480, how many of each category of tire was sold? (Round your answer to the nearest whole number.)
a sticker price on a new vehicle is $33985 , but the dealer cost is $27700 and you want to offer 4% over the dealer cost. what would be the offered amount?
) find the function satisfying the y′−3y=9e6t y′−3y=9e6t and y(0)=3.y(0)=3.
Rewrite the standard equation in slope-intercept form: 3x-8y=24
The equation 3x - 8y = 24 can be written in slope intercept form as y = [tex]\frac{3}{8}[/tex] x - 3.
What is Slope?Slope of a line is defined as the value of the change in the values of the y coordinates with respect to the change in the values of the x coordinate.
It can also be defined as the tangent of the angle that the line makes with the X axis.
The standard equation of a line in slope intercept form is, y = mx + c, where m is the slope and c is the y intercept.
y intercept is the y coordinate when the line touches with the Y axis. The x coordinate of that point will be zero.
The given equation is,
3x - 8y = 24
Subtracting both sides of the equation with -3x,
3x - 8y - 3x = 24 - 3x
-8y = 24 - 3x
Dividing both sides by -8, we get,
y = -3 + [tex]\frac{3}{8}[/tex] x
y = [tex]\frac{3}{8}[/tex] x - 3
Hence the standard equation in slope intercept form for 3x - 8y = 24 is y = [tex]\frac{3}{8}[/tex] x - 3.
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Evelyn is waiting in line for concert tickets. She is 2.5 blocks from the ticket booth. 16 blocks equals 1 mile. Each person takes up about 2 feet in the line. Which calculation can be used to find about how many people are ahead of Evelyn in line?
Answer:
1/2 person over feet
Step-by-step explanation:
yw!
Simplify the expression. 12P5 : 11,880 95,040 7,920 1,235,520
So the correct answer is B. 95,040
If rectangle ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point A' lie?
Answer:
A' would be return to its original position .
Step-by-step explanation:
Given : If rectangle ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°.
To find : where would point A' lie.
Solution : We have given that ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°
By the reflection rule over y axis .( x ,y) →→ ( -x ,y)
Suppose A ( x ,y) if we reflect it over y axis then
A( x ,y) →→ A'( -x ,y)
Now reflect it over x axis (-x ,y) →→( -x ,-y)
Now rotate by 180° it become ( -x, -y) →→( x ,y)
Hence , it return to its original position .
Therefore, A' would be return to its original position .
John ran the 100-m dash with a time of 9.96 sec. If this pace could be maintained for an entire 26-mi marathon, what would his time be?
By calculating the average speed of a 100-meter dash and then applying it to the marathon distance, it would take approximately 1.16 hours, or 1 hour, 9 minutes, and 28 seconds to complete a 26-mile marathon at that pace.
Explanation:The student is asking how long it would take for someone to run a 26-mile marathon if they maintained the same speed as a 100-meter dash completed in 9.96 seconds. To calculate this, we first need to find the runner's average speed during the 100-meter dash. The speed (v) is distance (d) divided by time (t), so:
v = d / t = 100 meters / 9.96 seconds = 10.04 meters/second
Next, we convert the marathon distance from miles to meters. There are 1,609.34 meters in a mile, so:
26 miles * 1,609.34 meters/mile = 41,842.84 meters
To find the time (t) to run the marathon, we divide the total distance by the average speed:
t = 41,842.84 meters / 10.04 meters/second = 4,167.49 seconds
Finally, we convert seconds to a more understandable unit of time, hours and minutes:
4,167.49 seconds / 60 seconds/minute = 69.46 minutes
69.46 minutes / 60 minutes/hour ≈ 1.16 hours
So, John would complete the marathon in approximately 1.16 hours, or 1 hour, 9 minutes, and 28 seconds if he could maintain his 100-meter dash pace for the entire marathon.
given than segment FE is parallel to segment DG, which of the following statements is no true
An artist wants to reduce the size of a drawing using a scale factor of 3:13:1 . The original drawing has an area of 720 square inches. What is area of the new drawing? Enter your answer in the box.
Answer: 80
MsEHolt is correct, the answer is 80[tex]in^2[/tex]