Answer:
0,212205882352941
Step-by-step explanation:
The figure below shows a circular fountain in a park with a garden to be planted with flowers. The parks department wants to plant groups of 2 flowers in the garden per square foot. Garden 3 feet 18 feet Fountain Which is closest to the number of flowers needed to plant in the garden?
A 71 flowers
B. 141 flowers
C 156 flowers
D 255 flowers
E 284 flowers
Answer: The answer is 284.
Step-by-step explanation:
The area of the garden is an annulus whose,
Outer diameter = 18 ft
Inner diameter = 18 ft - 2*3ft = 12 ft
Therefore,
Outer radius = 18/2 = 9 ft
Inner radius = 12/2 = 6 ft
Area of garden = Area of annulus
Area of garden = π*(9 ft)2 - π * (6 ft)2
Area of garden = 142
Given:
2 flowers are planted per square foot.
Therefore for 142 ft2,
Number of flowers required = 2*142 = 284
The answer is 284.
Solve the following quadratic function by utilizing the square root method. y = x2 - 64
Answer:
[tex]x=\pm\sqrt{y+64}[/tex]
Step-by-step explanation:
All you need to do is isolate the x.
First, add 64 to both sides:
[tex]y=x^2-64\\x^2-64+64=y+64\\x^2=y+64[/tex]
Then, take the square root of both sides:
[tex]\sqrt{x^2}=\sqrt{y+64}\\x=\sqrt{y+64[/tex]
Actually, that is:
[tex]x=\pm\sqrt{y+64}[/tex]
Here's the reason for that. An example would be:
[tex]x^2=4[/tex]
Here, you'd take the square root of both sides to solve for x.
[tex]\sqrt{x^2}=\sqrt{4}\\x=2[/tex]
Right? But X could also be a -2, because a negative times a negative is a positive.
[tex](-2)^2=4\\-2\times-2=4\\4=4[/tex]
Therefore, [tex]x=2, -2[/tex] or [tex]x=\pm2[/tex]
[tex]x^2=2\times2=4\\x^2=-2\times-2=4[/tex]
find the slope of the line that passes through the following points a(4, -14) b(6, 18)
Answer:
Slope=16
Step-by-step explanation:
There were 3 full pizzas sitting on a counter. If Joe ate ¼ of a pie, Rhonda ate ⅜ of a pie, and Chris ate 4 slices, how many slices of pizza were left? (Assume each pie is cut into 8 slices.)
Answer:
15 slices
Step-by-step explanation:
Joe ate 2 slices (1/4 = 2/8), Rhoda ate 3 (3/8), Chris ate 4.
2+3+4= 9.
there are 3 pizzas divided into 8 slices per pizza.
3 x 8 = 24 ; 24 slices total
subtract 9 (that’s what was consumed) from 24.
24-9 = 15
I hope it helps.
someone please help me
Answer:
FOURTH ONE DOWN
Step-by-step explanation:
Basically the the format is (vertical / horizontal), so CB and AD are both gonna be denominators (the bottom of the fraction).
** also next time please take a better picture i had to squint my eyes so hard **
Write an equation in
Slope - int form with the
given information
m=2, (3, 4)
Answer:
y=2x-2
Step-by-step explanation:
apply point
4=2(3)+n
4=6+n
n=-2
y=2x-2
HELP PLZ !!
The graph of f(x) = 7^x is stretched vertically by a factor of five. Which of the following is the equation of the new graph, g(x)
Answer:D
Step-by-step explanation:
Anyone help for brainlist:)
Determine the graph of the function -->f(x)=2^x−1
Answer:
it is D
Step-by-step explanation:
Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is y = − 1 . Horizontal Asymptote: y = − 1
Need help plotting x and y intercept heres a better explanation of what I need to do
Geometry work pls help ASAP
Answer:
3321
Step-by-step explanation:
Janelle came to bat 464 times in 131 games. At this rate, how many times should she expect to have at bat in a full season of 162 games?
The rate at which she bats is an illustration of ratio and proportions
She's expected to bat 574 times in 162 games
In 131 games, she bat 464 times
Represent this as a ratio
[tex]\mathbf{Ratio = 131 : 464}[/tex]
Let the number of times she bat in 162 games be represented with x.
So, the ratio is represented as:
[tex]\mathbf{Ratio = 162 : x}[/tex]
Equate both ratios
[tex]\mathbf{162 : x = 131 : 464}[/tex]
Express as fractions
[tex]\mathbf{\frac{x}{162 }= \frac{464}{131 }}[/tex]
Multiply both sides by 162
[tex]\mathbf{x= \frac{464}{131 } \times 162}[/tex]
Multiply
[tex]\mathbf{x= \frac{75168}{131 } }[/tex]
Divide
[tex]\mathbf{x= 574}[/tex]
Hence, she's expected to bat 574 times in 162 games
Read more about ratios and proportions at:
https://brainly.com/question/7810782
The ancient Babylonians were writing fractions in 1800 BCE. But they did not have a concept of zero until about 1489 years later. In what year did the Babylonians develop the concept of zero?
Answer:
1489
Step-by-step explanation:
Find the equation of the line
Answer:
6,0 10,4
Step-by-step explanation:
find the y Axis and then the x Axis
Identify the number that does not belong with the other three. Explain your reasoning. negative 10 over 2, negative 13.4, square root 18, 22.7 repeating 7
Need help answering this question for 30 points. ! :)
Answer:
g(- 1) = -2
Step-by-step explanation:
Given the rational function, [tex]g(x) = - \frac{21 + x}{10}[/tex]:
In order to evaluate and find the value of g(-1), simply substitute the input value into the given function.
[tex]g(x) = - \frac{21 + x}{10}[/tex]
[tex]g(-1) = - \frac{21 - 1}{10}[/tex]
[tex]g(-1) = - \frac{20}{10}[/tex]
g(-1) = -2
Therefore, the output value when g(- 1) is: g(- 1) = -2.
Forrest Lumber uses the function
S(t) = -75t + 675
to determine the salvage value, S(t), in dollars, of a table saw t years after its purchase. How long will it take the saw to depreciate completely? A. 8 years B.11 years c. 9 years D.10 years please help
Answer:
C. 9 years
Step-by-step explanation:
For the saw to depreciate completely, the salvage value of the saw would be 0.
Set S(t) = 0 and solve for t
0 = -75t + 675
75t = 675
t = 675/75 = 9 years
Write an equation for the line in slope intercept form
Answer:
y=4x+2
Step-by-step explanation:
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what is the zero if the function ?
A -5
b. 2/5
c 2
d 5/2
The answer to that one is C
I need help plz help me I am not good at math HELP
Answer:
600 boys
800 girls
Step-by-step explanation:
Ratio is 3:4
let total number of boys be x
3/4=x/1400-x
4x=3(1400-x)
4x=4200-3x
7x=4200
x=600
600 boys
1400-600 = 800 girls
Kaitlin,Tony y David tienen un total de 77 en sus bolsillos. Tony tiene $7 menos que Kaitlin. David tiene 2 veces lo que Kaitlin tine¿cuanto dinero tiene cada uno?
Answer: Tony has 70
kaitlin has 77 david has 79
Step-by-step explanation:
i hope this helped im not sure if this is right i tried to do the math but pls leave a thanks if helped
Given the complementary angle of y is 43º. Find the supplementary angle of y
Step-by-step explanation:
complementary = adds up to 90 degrees.
supplementary = adds up to 180 degrees.
the complementary angle of y is 43 degrees.
so, y = 90 - 43 = 47 degrees.
the supplementary angle of y = 47 is
180 - 47 = 133 degrees
Hello!
Given the complementary angle of y is 43º.
90 - 43 => 47°
Find the supplementary angle of y
180-43 => 137°
can you help me find the slope of the line?
Answer:
0
Step-by-step explanation:
slope formula of a line is as follows:
m = Y2 - Y1/ X2 -X1
and so we'll now plot the given points.
note - the 1st values inside the brackets are that of the x values and the ones that come next are the y values of the given line.
now granted, we'll calculate the change of y and then divide it by the change of x
which is simply -5-(-5)/5-(-2) = 0.
3.find the measure of each missing angle
Answer:
Angle 1= 69
Angle 2= 37
Angle 3= 106
Angle 4= 21
Step-by-step explanation:
(Angle 2) The box in the corner is a 90-degree angle. So, 90-53=37
(Angle 1) Now that you have angle 2, add 37+74. You get 111. Subtract 180 and 111.
The answer for angle one is 69.
(Angle 3) Since it is a line, the two angles combined are 180 degrees. 180-74= 106.
(Angle 4) Now that you have angle 3, add 106 and 53. You will get 159. 180-159= 21
Pick any number. If that number is even, divide it by 2. If it's odd, multiply it by 3 and add 1. Now repeat the process with your new number. If you keep going, you'll eventually end up at 1. Every time.
helpppppppppppppppppppppppppppp
What do you need help with? Are you in danger?
I HAVE 4 MINS TILL THIS IS DUE PLEASE FOR THE LOVE OF GOD HELP ME
Answer:
Answer is graph A
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
f(x)=3x+5 and g(x)=2x+1
value of x
You can treat x and 2x+1 just as though they are real numbers.
So f(2x+1) = 3(2x+1) - 5 = 6x + 3 - 5 = 6x - 2
In the above, I made use of something called the distributive law which says that if a,b and c are real numbers, then a(b+c) = ab + ac.
Yvonne sells Nine West shoes. She earns 4% commission on all her sales. Yesterday she sold
$1500 worth of shoes. How much commission did she earn?
(2 marks)
Answer:
$60
Step-by-step explanation:
4/100= 0.04
$1500 x 0.04 = 60
If angle pqr is isosceles, what is the measure of angle Q?
The angles opposite to equal sides in the isosceles triangle will be the same thus the measure of angle Q will be 68°.
What is a triangle?A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.
In a triangle, the sum of all three angles is 180°
Triangle is a very common figure to deal with our daily life for example in our daily life to measure the height of any tower then there is a huge application of the right angle triangle.
As per the given isosceles triangle.
The angles opposite to equal sides in the isosceles triangle will be the same.
Thus, m∠P -= m∠Q
5x + 8 = 9x - 40
9x - 5x = 8 + 40
4x = 48
x = 12°
Thus, m∠Q = 9(12) - 40 = 68°.
Hence "The angles opposite to equal sides in the isosceles triangle will be the same thus the measure of angle Q will be 68°".
For more information about triangles,
https://brainly.com/question/2773823
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