The length of the diameter, in meters, of the circular area that gets watered by the sprinkler for this condition is given by: Option B: 8 m
What is the equation of the circle of radius r units, centered at (x,y) ?If a circle O has radius of r units length and that it has got its center positioned at (h, k) point of the coordinate plane, then, its equation is given as:
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]
For this case, the equation of the circle that models tha circular area considered is:
[tex](x-9)^2 + (y+11)^2=16[/tex]
Writing this in standard form and comparing it with the standard equation, we get:
[tex](x-9)^2 + (y+11)^2=16\\(x-9)^2 + (y - (-11) )^2 = 4^2[/tex] (didn't took (-4)² = 16 since radius cannot be negative).
Thus, we get center's coordinate as (9,-11) and radius of 4
The diameter of that circular area = twice of radius of the circle which models it = 2 × 4 = 8 meters.
Thus, the length of the diameter, in meters, of the circular area that gets watered by the sprinkler for this condition is given by: Option B: 8 m
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I need help!!!!! 4. Determine 3 possible solutions to the inequality below
Answer:
5,6,7
Step-by-step explanation:
the unfilled circle means that you dony inclued 4, and since the blue line is going u the scale means it can be any number higher than 4
Maria bought a laptop computer for $850. The value of the computer depreciates about 25% each year. After 3 years, she decides to sell it to her younger brother. What is a fair price for the computer?
Using the depreciation formula:
start value x percent of value^time
850 x 0.75^3 = $358.59
answer: $358.59
Answer: $358.59
Step-by-step explanation:
[tex]$$After one year the laptop computer's price is:$$\begin{aligned}&=\$ 850-\$ 850 \times 25 \% \\&=\$ 850-\$ 212.5 \\&=\$ 637.5\end{aligned}$$[/tex]
[tex]$$ Again two year the computer's price is:$$\begin{aligned}&=637.5-25 \% \text { of } 637.5 \\&=637.5-159.375 \\&=\$ 478.125\end{aligned}$$[/tex]
[tex]\bold{\text { So a fair price for the computer is } \$ 358.59}[/tex]
[tex]\begin{aligned}\\\bold{Or}\text { Simply Calculate as } &=(\text { Purchase price }) \times(1-25 \%)^\text{time} \\&=850 \times(1-0.25)^{3} \\&=850 \times(0.75)^{3} \\\bold{&=\$358.59}\end{aligned}[/tex]
Can someone help me with this pls
Correct solution:
⇒ 8 ÷ 1/8⇒ 8 x 8⇒ 64The hours students reported practicing their instruments last grading quarter were 29, 20, 36, 44, 30, 32, and 40. The mean hours students reported practicing their instruments is . The mean absolute deviation for the data is .
Answer:
The hours students reported practicing their instruments last grading quarter were 29, 20, 36, 44, 30, 32, and 40.
The mean hours students reported practicing their instruments is
✔ 33
.
The mean absolute deviation for the data is
✔ 6
.
Step-by-step explanation: answers.
Classify each polynomial and determine its degree. the polynomial 3x2 is a with a degree of . the polynomial x2y 3xy2 1 is a with a degree of .
[tex]\rm 3x^2[/tex] is the polynomial of one variable with second-order and [tex]x^2y+3xy^2+1[/tex] is the polynomial of two variables with third-order
What is polynomial?Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.
We have polynomials:
[tex]\rm 3x^2[/tex] and
[tex]x^2y+3xy^2+1[/tex]
For [tex]3x^2[/tex]
In this polynomial, the number of variables is one and the maximum power of x is 2, therefore:
This is the polynomial of one variable with second order.
In polynomial, [tex]x^2y+3xy^2+1[/tex] there are two variables x and y.
The maximum power of x is 3( x has a power of 2 and y has a power of 1)
This is the polynomial of two variables with third order.
Thus, [tex]\rm 3x^2[/tex] is the polynomial of one variable with second-order and [tex]x^2y+3xy^2+1[/tex] is the polynomial of two variables with third-order.
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Answer:
The polynomial 3x2 is a monomial with a degree of 2
The polynomial x2y + 3xy2 + 1 is a trinomial with a degree of 3
Step-by-step explanation:
8 less than a number is more than 12 numeral form
8 less than a number means to subtract 8 from that number.
answer: n - 8 > 12
Answer:
n - 8 > 12
Step-by-step explanation:
Let the number be n. Then n - 8 > 12
Which expressions are equivalent to In e?
Answer:
lne = log(e)e = 1
Step-by-step explanation:
I hope this helps!
What is the difference between the two fractions explain in full detail. Type out answer
Answer:
Step-by-step explanation:
There is no difference between the two fractions. I can show you this in the following way, assuming you understand the distributive property. We can write the fraction -7/2 in the following way:
[tex]-\frac{7}{2} =-1(7*2^-^1)[/tex]
Hopefully you agree with me that we can bring the 2 into the numerator if we switch the signs of the exponent. And hopefully you agree that a negative sign is equivalent to multiplying by -1. Therefore, this negative 1 can distribute to the 7 or the 2. It really does not matter. To sum this up:
[tex]-\frac{7}{2} =\frac{-7}{2} =\frac{7}{-2}[/tex]
The blades of a windmill turn on an axis that is 35 feet above the ground. the blades are 10 feet long and complete two rotations every minute. which of the following equations can be used to model h, the height in feet of the end of one blade, as a function of time, t, in seconds? assume that the blade is pointing to the right, parallel to the ground at t = 0 seconds, and that the windmill turns counterclockwise at a constant rate. h = negative 10 sine (startfraction pi over 15 endfraction t) 35 h = negative 10 sine (pi t) 35 h = 10 sine (startfraction pi over 15 endfraction t) 35 h = 10 sine (pi t) 35
Answer:
it is c
Step-by-step explanation:
:)
The sine equation is [tex]\rm y = 10sin(\frac{\pi}{15} t)+35[/tex] an option (c) is correct.
It is given that the blades of a windmill turn on an axis that is 35 feet above the ground. the blades are 10 feet long and complete two rotations every minute.
It is required to model the sine equation.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We know the standard equation for the sine equation:
[tex]\rm y = Asin(wx)+h[/tex]
Where [tex]\rm T=\frac{2\pi}{w}[/tex]
[tex]\rm w = \frac{2\pi}{30}[/tex] ( In one minute, they complete two rotations.)
[tex]\rm w = \frac{\pi}{15}[/tex] ( T = 30)
At time t=0, the blade is horizontal. Hence, at t = 0, h = 35
And A = 10
Put all the values in the sine equation:
[tex]\rm y = 10sin(\frac{\pi}{15} t)+35[/tex]
Thus, the sine equation is [tex]\rm y = 10sin(\frac{\pi}{15} t)+35[/tex] an option (c) is correct.
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Find x . Round your answer to the nearest tenth of a degree.
The value of a, b and <A are 17.4, 119.3 and 42 degrees respectively
Trigonometry identityFrom the given right angles triangle, we have the following parameters;
<A + 48 + 90 = 180 (sum of angles in a triangle)
<A =180 - 138
<A = 42 degrees
Using the SOH CAH TOA identity
sin48 = b/26
b = 26sin48
b = 19.3
For the value of a
sin42 = a/26
a = 26sin42
a = 19.3
a =17.4
Hence the value of a, b and <A are 17.4, 119.3 and 42 degrees respectively
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Luca owns a pool cleaning business. Luca wants to have a monthly profit of $5,867.00 with 50 costumers, fixed monthly expenses of $2,510.00, and variable expenses of $18.40 per pool. determine how much Luca needs to charge per customer to reach his profit goal.
$164.82
$170.34
$185.94
$200.31
Answer:
$185.94
Step-by-step explanation:
5,867+2,510= 8,377
8,377÷50c= 167.54
167.54+18.40= $185.94
5[tex]5x^{2} + 20x - 60 =[/tex]
Answer:
5
x
2
+
20
x
−
60
Factor
5
out of
5
x
2
+
20
x
−
60
.
Tap for more steps...
5
(
x
2
+
4
x
−
12
)
Factor.
Tap for more steps...
5
(
x
−
2
)
(
x
+
6
)
Step-by-step explanation:
ANSWER IS =5X2+20X-60
------------------------------
THIS ANSWER IS CORRECT
if a town with a population of 10,000 doubles in size every 17years wat will population be 68 years from now
Answer:
20,000×17 gives 340,000
340,000×68 which gives 23,120,000
What percent is equivalent to 24\50? 24% 48% 50% 52%
Answer:
48%
Step-by-step explanation:
If you convert 24/50 to a percentage the answer is 48%
[tex] \frac{24}{50} [/tex]
to find:the equivalent percent.
solution:[tex] \frac{24}{50} [/tex]
[tex] = 0.48[/tex]
[tex]0.48 \times 100\%[/tex]
[tex] = 48\%[/tex]
therefore, the equivalent percent of 24/50 is 48%
Which of the following equations is CORRECT?
A. (a + b) (a – b) = a 2 + b 2
C. (a + b) (a – b) = a 2 + ab + ab + b 2
B. (a + b) (a – b) = a 2 − b 2
D. (a + b) (a – b) = a 2 − ab − ab − b 2
Answer:
Option C, the second one. (B and C are switched)
Step-by-step explanation:
a * a = a2
a * b = +ab
⬇️
2ab
⬆️
b * a = +ba or +ab
Two b's make b2 and don't worry, even with the negative sign it is a b2.
A pound of apples costs $1.30. Sawyer bought 2 1/2 pounds of apples. How much did Sawyer pay?
A.$3.50
B.$3.25
C.$4.00
D.$2.25
2 1/2 pounds = 2.5 pounds
A pound of apples cost $1.30 -> 2.5 pounds of apples cost 1.3 x 2.5 = 3.25
-> Answer : B
Find the ratios of the quantities below and write them in the form a/b (a over b)
1. 8cm and 17cm
2. 3800$ and 1500$
3. 1 1/2 day and 13 hours
Answer:
Hope the picture will help you
Frazer scores 70% in a spelling test. If there are 40 spellings, how many did he get right?
The number of the correct spellings is 28.
What are percentages?The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.
Given that:-
Frazer scores 70% on a spelling test. If there are 40 spellings,The number of the spellings are:-
N = 40 x 70% = 28
N = 40 x (70/100) = 28
Therefore the number of the correct spellings is 28.
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#SPJ2
Ill give brainliest please help .
Answer:
443.14
Step-by-step explanation:
A=6ah+33a2
=6·4·15+3·3·42
≈443.13844
Answer:
I believe the answer is 88 if correct please consider brainliest
<3
Step-by-step explanation:
WILL GIVE BRAINLIEST !! I NEED HELP ASAP
In the figure, ABCD is a rhombus.BG and DCG are straight lines
Find CAD
Find ACG
Answer:
Below in bold.
Step-by-step explanation:
1) as ABCD is a rhombuc AC bisects < BAD and < BCD .
Therefore < CAD = 1/2 * 104 = 52 degrees.
2) < ACG = < ADC + < CAD ( External angle of triangle theorem)
Therfore < ACG = 76 + 52 = 128 degrees.
Katie saves $5 every week. so far, she has saved a total of $63.
a) write an expression for Katie's saving using W for the number of weeks from today.
b) use your expression to find out how much money Katie had 5 weeks ago.
no links!!! pls, help!!!
Explain how you know 3⁴=9² without calculating the values.
Answer:
See below
Step-by-step explanation:
[tex] {3}^{4} = ( {3}^{2} )^{2} = {9}^{2} \\ \\ \implies \: {3}^{4} = {9}^{2}[/tex]
Answer:
think of it like this
Step-by-step explanation:
whenyou have 9 squared you do 9*9 but since we are not able to calculate the values we will just say thereare 2 9's
Now we got 3^4 how many three's multiplied together make 9.. answer is 2 So If you simplify3^4 to 9^2 they are both the same
basically you are multtiplying the left side to get the same number on the right because it tells you they are even
Pedro’s book weighs 194 pounds. blanca’s book weighs 177 pounds. use estimation to determine about how much more pedro’s book weighs than blanca’s.
(i dont know what you mean by that cause clearly just do 194 - 177 = 17 pounds)
Round 194 pounds to 190 ; 177 to 180
In estimation, Pedro's book weighs 190 - 180 = 10 pounds more.
190 : 180 = 1.06 times more.
The length of a rectangle is 7 cm greater than its width. The area of the rectangle is 260 cm². This situation can be expressed by the equation w^2+7w−260=0.
What is the width of the rectangle? Remember that a measurement can only be positive.
Enter your answer in the box.
Answer:
I think the answer is 15 but I am not sure hoping this helps good luck
Answer:
its 13
Step-by-step explanation:
Substititue 5 for x. Is the solution true?
3x + 4 - x = 4x - 6
Answer:
It's a true solution.
Step-by-step explanation:
[tex]3(5) + 4 - 5 = 4(5) - 6[/tex]
[tex]15 + 4 - 5 = 20 - 6[/tex]
[tex]19 - 5 = 14[/tex]
[tex]14 = 14[/tex]
Help, please! It's all in the screenshot
A:
5=2+3
-> right triangle
B:
5=4+3
-> not a right triangle
C.
36= 25+16
36= 41
-> not a right triangle
D.
49= 25+25
49=50
-> not a right triangle
E.
100= 36+ 64
100= 100
-> right triangle
i need help please hellp me
Answer:
Step-by-step explanation:
3
The measures of two supplementary angles have a ratio of 4:5. What is the measure of the larger angle?
The measure of the larger angle is ____
Answer:
100 DEGREES
Step-by-step explanation:
Supplementary means they add to 180 degrees
4x + 5x = 180
x = 20
smaller angle 4 (20) = 80
learger angle 5 (200 = 100
What integer best represents
ascending 800 feet?
Answer:
positive interger.....
Which polygons are congruent?
Select each correct answer.
5
20
20
25
25
Activate Windo
Answer:
All except the 3rd one
the one with 20 and 25
