The length of one side of a square pond is 15 feet. The pond is surrounded by a 3 foot wide walkway. What is the total area of the pond and the walkway, in square feet
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Answer:
Area = 324 ft²
Step-by-step explanation:
Given
Length = 15ft
Walkway = 3ft
Required
Determine the area of the pond + the walkway
To calculate the required area, we need to get the total length of a side .
This is calculated by adding the length of a side of the pond and the side of the walkway
Total Length = Pond Length + Walkway
Total Length = 15ft + 3ft
Total Length = 18ft
Now, the required area can be calculated as thus:
Area = Total Length * Total Length
Area = 18ft * 18ft
Area = 324 ft²
Related Questions
HELPPP MEEE PLEASEE WITH THIS QUESTION
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The values of x and y are given as follows:
x = 18.\(y = 6\sqrt{10}\)What is the geometric mean theorem?The geometric mean theorem states that the length of the altitude drawn from the right angle of a triangle to its hypotenuse is equal to the geometric mean of the lengths of the segments formed on the hypotenuse.
The bases for this problem are given as follows:
2 and x.
The altitude is given as follows:
6.
Hence the length x is given as follows:
2x = 6²
2x = 36
x = 18.
Applying the Pythagorean Theorem, the length y is given as follows:
y² = 18² + 6²
y² = 360
\(y = \sqrt{36 \times 10}\)
\(y = 6\sqrt{10}\)
More can be learned about the geometric mean theorem at brainly.com/question/10216660
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And this one please
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Can someone help me
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Answer:
\((-6)^{-27}\)
Step-by-step explanation:
using the rule of exponents
• \((a^{m}) ^{n}\) = \(a^{mn}\)
then
\((-6^{-3}) ^{9}\)
= \((-6)^{-3(9)}\)
= \((-6)^{-27}\)
In AJKL, the measure of L=90°, the measure of K=35°, and KL = 48 feet. Find the
length of JK to the nearest tenth of a foot.
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Answer:58.6 trust me
Step-by-step explanation:
Kelly can ride her bike 3 miles in 15 minutes. At this rate, how many miles can she ride in 60 minutes?
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Answer:
12 miles.
15*4=60
3*4=12
12 miles
jackie bought 15 cookies for $3 . How much will she have to pay for 35?
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Step-by-step explanation:
15=3
35=x
15x=3×35
x= 3×35÷15
x=105÷15
x=7
Would you use SSS or SAS to prove the triangles congruent? If there is not enough information to prove by SSS or SAS, then write “not enough information” and explain why.
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These triangles are congruent under the SAS congruence criterion. We can prove it using the following steps :
Given :
In triangle 1 and 2 :
A side in triangle 1 and a side in triangle 2 are equal.Another side in triangle 1 and triangle 2 is equal. The angle between the equivalent sides is also equal.Since the SAS congruence criterion says that two triangles are congruent if two of their sides and one included angle is equal and since these 2 triangles fulfill all of those rules, we can conclude that these triangles are congruent under the SAS congruence criterion.
I’m am so lost please help thank you all
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Answer:
Step-by-step explanation:
148 people
PLEASE HELP!!!!!
will mark brainliest!!!!!
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Answer:
x y
4 7
5 -1
6 -9
The diagram show two congruent polygons joined together
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Answer:
10
Step-by-step explanation:
HELP FOR SO MUCH POINTS AND BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! What is the equation of a line perpendicular to 9x−3y = 18 and crosses the x-axis at −9?
A. y = − 1/3x − 3
B. y = −1/3x + 3
C. y = −3x − 27
D. y = −3x + 27
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Answer: B
Step-by-step explanation:
Can someone check my answers if they are correct or incorrect? If it is incorrect, please let me know why it is incorrect please.
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A bag contains 7 marbles: one each of red, orange, yellow, green, blue, violet, and white. A child randomly pulls 4 marbles from the bag. What is the probability that the marbles chosen are green, blue, red, and yellow? Round your answer to the nearest hundredth.
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Answer:
Probability of getting green, blue, red, and yellow = 0.69
Step-by-step explanation:
Given - A bag contains 7 marbles: one each of red, orange, yellow, green, blue, violet, and white. A child randomly pulls 4 marbles from the bag.
To find - What is the probability that the marbles chosen are green, blue, red, and yellow?
Proof -
Given that,
A bag contains 7 marbles: one each of red, orange, yellow, green, blue, violet, and white.
i.e.
All the outcomes are equally likely.
So,
The child can choose the 4 marbles in 4! ways.
And
Total number of ways = \(^{7} C_{4}\) = 35
So,
Probability of getting green, blue, red, and yellow = \(\frac{4!}{35}\)
= \(\frac{24}{35}\) = 0.69
⇒Probability of getting green, blue, red, and yellow = 0.69
Determine the growth factor corresponding to 325% increase
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Answer:
4.25
Step-by-step explanation:
The growth factor is 1 more than the growth rate. The growth rate is the rate of increase in a given time period.
1 +325% = 1 +3.25 = 4.25
The growth factor is 4.25.
_____
The "increase" amount is what is added to the original. The growth factor is the multiplier of the original.
x + 325%·x = x(1 +3.25) = 4.25x
write each of the following numbers line position as fraction with Demeter 100 as decimals and also as percentages
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Answer:
Explanation:
To write the given numbers as fractions of 100, percentages, and decimals, we first need to estimate their values on the number line. Once, we have the values of the numbers, we can write the as a fraction of 100 as
\(\frac{Num}{100}\)As percentages as
\(\frac{Num}{100}\times100\)And as decimals as
\(Num\div100\)(a).
The estimate of the value of three numbers is 27, 45, 67.
Writing the above as fractions of 100 gives
\(\frac{27}{100},\frac{45}{100},\frac{67}{100}\)As a percentage, these numbers are
\(\frac{27}{100}\times100,\frac{45}{100}\times100,\frac{67}{100}\times100\)\(\rightarrow27\%,45\%,67\%\)To write the numbers as decimals we divide them by 100 to get
\(0.27,0.45,0.67\)(remember that dividing by 100 shifts the decimal point to the left by 2 digits)
(b).
The estimate of the values of the three numbers are 57, 74, and 89
Writing these numbers as fractions gives
\(\frac{57}{100},\frac{74}{100},\frac{89}{100}\)As a percentage these numbers are
\(\frac{57}{100}\times100,\frac{74}{100}\times100,\frac{89}{100}\times100\)\(57\%,74\%,89\%\)And as decimals
\(0.57,0.74,0.89\)(c).
The estimate of the value of the three numbers is 22, 36, 55.
Writing them as a fraction gives
\(\frac{22}{100},\frac{36}{100},\frac{55}{100}\)As a per cent these numbers are written as
\(undefined\)if z=-1-v3i and 26 = a +bi, then a =
and =
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Corporate AAA bond interest rates for 12 consecutive months are 9.5%, 9.3%, 9.4%, 9.6%, 9.8%, 9.7%, 9.8%, 10.5%, 9.9%, 9.7%, 9.6% and 9.6%. What is the three-month weighted moving average forecast (with weights 0.2, 0.4 and 0.4 - from oldest to most recent respectively) for the next month, rounded to two decimal places?
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Answer:
the three-month weighted moving average forecast is 9.62%
Step-by-step explanation:
The computation of the three-month weighted moving average forecast is shown below:
= Weight × rate of interest + Weight × rate of interest + Weight × rate of interest
= (0.2 × 9.7) + (0.4 × 9.6) + (0.4 × 9.6)
= 9.62%
Hence, the three-month weighted moving average forecast is 9.62%
We simply applied the above formula so that the correct value could come
And, the same is to be considered
Factor the polynomial completely.
x4 + 2x2 - 35
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Answer:
\((x^2+7)(x^2-5)\)
PLS HELP ILL REQARD. A LOT
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Answer:
the answer is
x=-2, x=3
hope this will help you ❤️
let's solve the quadratic equation :
\( {x}^{2} - x - 6 = 0\)\(x {}^{2} - 3x + 2x - 6 = 0\)\(x(x - 3) + 2(x - 3) = 0\)\((x + 2)(x - 3) = 0\)there are two cases now,
Case - 1 - when (x + 2) = 0
x = -2Case - 2 - when (x - 3) = 0
x = 3so, the missing numbers to be filled in the boxes are :
x = -2 and x = 3Help i dont understand this please help :(
Answers
Answer:
-16
Step-by-step explanation:
-5(4)+2
-18+2
-16
The Australian Open is the first of the four Grand Slam professional tennis events held each year. Victoria Azarenka beat Maria Sharapova to win the 2012 Australian Open women’s title. During the tournament Ms. Azarenka serve speed reached kilometers per hour. A list of the Women’s Singles serve speed for the 2012 Australian Open is provided below. Player Serve Speed (km/h) S. Williams 192 S. Lisicki 192 M. Keys 191 L. Hradecka 188 J. Gajdosova 187 J. Hampton 187 B. Mattek-Sands 185 F. Schiavone 185 P. Ormaechea 185 P. Parmentier 185 N. Petrova 183 G. Arn 183 V. Azarenka 182 A. Ivanovic 182 P. Kvitova 179 M. Krajicek 179 V. Dushevina 178 S. Stosur 176 S. Cirstea 176 M. Barthel 175
a. Compute the mean, variance, and standard deviation for the serve speeds.
b. A similar sample of the 20 Women’s Singles serve speed leaders for the 2011 Wimbledon tournament showed a sample mean serve speed of 182.5 kilometers per hour. The variance and standard deviation were 33.3 and 5.77, respectively. Discuss any difference between the serve speeds in the Australian Open and the Wimbledon women’s tournaments.
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Answer:
asnwer is B
Step-by-step explanation:
mark BRAINLIEST
Write the equation in standard form using integers y=3x+7
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9514 1404 393
Answer:
3x -y = -7
Step-by-step explanation:
"Standard form" is ...
ax +by = c
where a, b, c are mutually prime integers, and a ≥ 0. If a = 0, then b > 0.
Here, we can get standard form by subtracting y+7 from both sides of the equation.
y -(y+7) = 3x +7 -(y+7)
-7 = 3x -y
3x -y = -7
The grocery store charges $6.85 for 5 bags of potatoes. If someone bought 7 bags of potatoes, how much would it cost them? *
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Answer:
9.59
Step-by-step explanation:
You divide 6.85 by 5 to get 1.37, then you multiply it by 7 to get your answer 9.59 :)
Help and no links plzz
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Answer:
20
Step-by-step explanation:
2 1/2 = 5/2
(5/2)/(1/8) = 20
3-(-8)
\(3-(-8)\)
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The eyes of a student standing at the edge of a platform are 8 ft above the ground. She sees a wallet on the ground at an angle of depression of 32°. About how far away from the base of the platform is the wallet?
A.4.2 ft
B.12.8 ft
C.5.0 ft
D.15.1 ft
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The wallet is about 12.8 feets away from the base of the platform.
Angle of depressionusing trigonometric function , the angle of depression can be obtained using the tangent relationship.
The tangent can be mathematically related using the ratio of the opposite and adjacent side.
Tan(A) = opposite/Adjacent
tan(32°) = 8/x
Solving for x, we get:
x = 8/tan(32°)
x = 12.8 feet
Hence , the wallet is about 12.8 feet away from the base of the platform.
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Help with this, thank you
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The slope of a line perpendicular to the line whose equation is x - 2y = -8 is -2.
What are perpendicular lines?In Mathematics and Geometry, perpendicular lines are two (2) lines that intersect or meet each other at an angle of 90° (right angles).
From the information provided above, the slope for the equation of line m is given by:
x - 2y = -8
2y = x + 8
y = x/2 + 4
slope (m) of line m = 1/2
In Mathematics and Geometry, a condition that is true for two lines to be perpendicular is given by:
m₁ × m₂ = -1
1/2 × m₂ = -1
m₂ = -2
Slope, m₂ of perpendicular line = -2
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Let f(x) = 3x^2 + 4x + 5 and let g(h) = (f(3 + h) - f(3))/(h). Determine each of the following
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The value of function g(1) is 45, g(0.1) is 22.23, and g(0.01) is 20.22.
To determine the values of g(1), g(0.1), and g(0.01), we need to substitute the given values into the expression for g(h) and evaluate their function them.
First, let's find the expression for g(h):
\(g(h) = \frac{(f(3 + h) - f(3))}h\)
Now, substitute the function f(x) into g(h):
\(g(h) = \frac{((3(3 + h)^2 + 4(3 + h) + 5) - (3(3)^2 + 4(3) + 5))}h\)
Simplifying further:
\(g(h) = \fract{((3(9 + 6h + h^2) + 12 + 4h + 5) - (27 + 12 + 5))}{h}\\\\g(h) = \frac{(27 + 18h + 3h^2 + 12 + 4h + 5 - 27 - 12 - 5)}h\\\\g(h) = \frac{(3h^2 + 22h + 20)}h\)
Now, we can substitute the values of h into the expression to find g(1), g(0.1), and g(0.01):
\(g(1) =\frac{ (3(1)^2 + 22(1) + 20)}1 = 3 + 22 + 20 = 45\\\\g(0.1) = \frac{(3(0.1)^2 + 22(0.1) + 20)}{0.1} = 0.03 + 2.2 + 20 = 22.23\\\\g(0.01) = \frac{(3(0.01)^2 + 22(0.01) + 20)}{0.01} = 0.0003 + 0.22 + 20 = 20.22\)
Therefore, the value of function g(1) is 45, g(0.1) is 22.23, and g(0.01) is 20.22.
Learn more about function here:
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What's the domain of this function graph
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Answer:
D) [0, ~)
Step-by-step explanation:
Domain of a Function:
the domain of a function is the set of values of x, the independent variable, that are responsible for the graph of the function.
For Example:
suppose, we have a function:
f(x) = 3x - 1
and it's domain is {1, 2, 3}
that means, the corresponding value of f(x) to these 3 values of x will be DEFINED, I.e., they exist and can be plotted on a graph.
The given function:
Therefore, for the given function, it's domain will be those values of x(the ones plotted on the horizontal line), that give some value to the function ,i.e., for which we can draw it's graph.
and since the graph starts from x = 0 and continues towards infiinity
(the arrow on the curve shows that the graph continues and hasn't yet come to a stop.)
So, that way we got [0, ~). ^^
please answer....writing assignment for math
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Answer:
This information tells me that f equals a number and 3 multiplied by the number that f equals is 16.
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