It will cost $348.7 to buy fencing to go around the rectangular garden.
The length of the rectangular garden is 25 feet.The width of the rectangular garden is 30 feet.The cost of fencing per linear foot is $3.17.We need to buy fencing to go around the whole rectangular garden.This means we need the total length of the boundary.The boundary is the same as calculating the perimeter of the rectangular garden.The perimeter of the rectangular garden is two times the sum of its length and its breadth.The perimeter is 2*(25+30) = 110 feet.The total cost of fencing the whole rectangular garden is the product of the cost of fencing per foot and its perimeter.The total cost of fencing the rectangular garden is 3.17*110 = $348.7.To learn more about perimeter, visit :
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is negative 18/3 rational or irrational
Answer:
rational
Step-by-step explanation:
it is because
it can be written in p/q form as answer is -6
find the quotient-2/5 ÷7/8
The quotient can be determined as,
[tex]\frac{-2}{5}\times\frac{8}{7}=\frac{-16}{35}[/tex]Thus, the required quotient is -16/35.
A battery is charged. The percentage of the battery's capacity that is charged as a function of time (in minutes) is graphed 50+ 70 50+ Capacity charge 20+ 10 What was the battery's charging level when the charging began? 12
The equation of the line (segment) is:
[tex]y=2x+40[/tex]Where y is the percentage of the charge, and x is the time (in minutes) that has passed since the charge started.
How do we know that? Because we can identify two points in the graph shown in the image:
[tex](0,40),(5,50)[/tex]
Notice that the line intersects the y-axis in point 40 (when the battery had 40% of its charge)
You can easily see that the equation I first wrote is correct by simply substituting the values of those two points I just wrote above.
Since we need 'the battery's charging level when the charging began', we need to set x=0, as we need the value of y (percentage of the charge) when the charging started.
So, if x=, then:
[tex]y=2\cdot0+40=40[/tex]Therefore, the answer is 40%
45*3/12+4.5697-3.12903
Answer: 12.69067
Step-by-step explanation:
Answer to the question
Step-by-step explanation:
Option Four is the correct answer.
Have a great day!
find the average rate of change of f(x)=x^2 on the interval [1,5]
The function supplied has an average rate of change for the range (1, 5) of -6.
f(x) = 17 - x2 (assumed)
The average f(x) change rate for the time period has to be determined (1, 5)
The function f(x) spanning the range (a, b) changes at an average rate equal to
A and b are valued as 1 and 5, respectively, in this instance.
f(1) = 17 - (1)2
f(1) = 17 - 1
f(1) = 16
f(5) = 17 - (5)2
f(5) = 17 - 25
f(5) = -8
It was determined that f's average rate of change (x)
As a result, the function supplied has an average rate of change for the range (1, 5) of -6.
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Can someone help please
The maximum displacement is 5, the angular frequency is 2π and the period of the motion is 1.
What are the features of an object under simple harmonic motion?
Kinematically speaking, an object under simple harmonic motion is described by the following equation:
y = A · cos (2π · t / T)
Where:
A - AmplitudeT - PeriodPlease notice that the angular frequency ω, radians per second, is equal to 2π / T. Then, we find that the maximum displacement is 5, the angular frequency is 2π and the period of the motion is 1.
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1. A sum of money is to be shared among three friends Paul, Mark and Anna in the ratio 2: 3: 5 respectively. If Paul received $ 48,000. Determine
a. Anna’s Share
b. Mark’s share.
c. The total sum
a)Sum of money share by Anna is $120000
b)Sum of money share by Mark is $72000
c) The total sum the three friends have is $ 240000
The ratio of the amount of money shared among three friends is 2: 3: 5.
Let's take the common factor to be x.
Sum of money Paul has = 2x
Sum of money Mark has = 3x
Sum of money Anna has = 5x
It is given that Paul receive $48000
So,
2x = 48000
x = 24000
a) Anna's share = 5x
= 5× 24000
= $120000
b) Mark's share = 3x
= 3 × 24000
= $72000
c) The total share = 2x + 3x + 5x
= 10x
= 10 × 24000
= $240000
Therefore the sum of money share by Anna is $120000, Mark is $72000 and the total sum of money is $240000.
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Find the 9th term of the geometric sequence whose common ratio is 1/3 and whose first term is 6.
Given: the geometric sequence whose common ratio is 1/3 and whose first term is 6.
Find: 9th term of the geometric sequence
Explanation:
[tex]\begin{gathered} a_n=a_1(r)^{n-1} \\ a_9=6(\frac{1}{3})^{9-1} \\ a_9=6(\frac{1}{3})^8 \end{gathered}[/tex]Final answer: the required answer is
[tex]\frac{6}{3^8}[/tex]58 Find the missing angle measures: C 42 9 А. 10 B X х В. A 40 4 0 12 S 13 T 14 X 48 57 41 76 SIT 46
Let us first solve the triangle on the right side involving angle x.
Recall that the sum of angles in a triangle must be equal to 180°.
So we can write
[tex]\begin{gathered} 41+78+x=180 \\ 119+x=180 \\ x=180-119 \\ x=61\degree \end{gathered}[/tex]Therefore, the angle x is equal to 61°
Now let us solve the triangle involving angle S and T.
Again applying the property that the sum of angles in a triangle must be equal to 180°
[tex]\begin{gathered} 48+57+S=180 \\ 105+S=180 \\ S=180-105 \\ S=75\degree \end{gathered}[/tex]As you can see, the angle S and T form a straight line angle.
Recall that a straight line angle is equal to 180°
[tex]\begin{gathered} S+T=180 \\ 75+T=180 \\ T=180-75 \\ T=105\degree \end{gathered}[/tex]Therefore, angle S = 75° and angle T = 105°
Now let us solve the remaining figure.
On the right side of the figure, apply the property that the sum of angles in a triangle must be equal to 180°
[tex]\begin{gathered} A+42+40=180 \\ A+82=180 \\ A=180-82 \\ A=98\degree \end{gathered}[/tex]As you can see, the angles A and B are opposite angles.
We know that opposite angles are equal.
[tex]\angle A=\angle B=98\degree[/tex]Now we know the angle B so let us apply the property that the sum of angles in a triangle must be equal to 180°
[tex]\begin{gathered} B+48+C=180 \\ 98+48+C=180 \\ 146+C=180 \\ C=180-146 \\ C=34\degree \end{gathered}[/tex]Therefore, angle A = 98° and angle B = 98° and angle C = 34°
The height of a Ferris wheel in feet can be represented by the function y = 50 cos ((-10)) + 52, with time in seconds. What is the maximum height, and at what interval does the height repeat on the interval 0 <x< 50?
Help me please its homework and its the last question ;-; . Also hope you have had a good day ;}
The value of the angle x will be equal to 113.5°.
An angle may be defined as the figure which can be formed from two rays joining at a point. The lines will be called as the sides of the angle and the point at which the rays join is called vertex of the angle. There are generally 5 types of angles namely Acute angle, Obtuse angle, Reflex angle, Right angle and Complete angle. The value of a complete angle will be given as 360°. Since, in the question all the angles are measured to the nearest. So, the value of 59° could actually be something between 58.5° and 59.5°. Analogously, 108° is between 107.5° and 108.5°, and 81° is between 80.5° and 81.5°. Now, the summation of all four angles will be equal to 360°.
x + 58.5° + 107.5° + 80.5° = 360°
=> x = 360° - (58.5° + 107.5° + 80.5°)
=> x = 360° - 246.5°
=> x = 113.5° which is the required value.
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12. How many centimeters are there in 740.2millimeters?A 7402 cm© 7.402 cmB 74.02 cmD 0.7402 cm
In this kind of question, we always need to know what is the equivalence between two measures:
We already know that in 1 centimeter there are 10 millimeters. With this equivalence, we can write:
740.2 millimeters * ( 1 centimeter / 10 millimeters )
When we have a unit in the numerator and also in the denominator, like millimeters, in this case, both units are converted in 1, and they do not need to be in the final answer (millimeters/millimeters = 1). Therefore:
740.2 * ( 1 centimeter / 10 ) =
( 740.2 / 10 ) centimeter =
When we divide a number by 10, 100, 1000, we write the decimal point to the left as many zeros have the 10, 100, 1000. In this case, we only have one zero.
Thus, we write the decimal part one digit to the left:
( 740.2 / 10 ) centimeter =
74.02 centimeter (this is the answer).
Therefore, there are 74.02 centimeters in 740.2 millimeters.
f(m) = (x + 1)(x - 5)| has two solutions. What is the set of values for f(m)? How would you describe the locations of values in this solution set?
Answer:
x = {x: -1, 5}
Step-by-step explanation:
[tex]{ \rm{f(m) = (x + 1)(x - 5)}}[/tex]
- To find the values of function f(m), we consider its zero or its root by letting f(m) = 0
[tex]{ \rm{f(m) = 0 = (x + 1)(x - 5)}} \\ { \rm{(x + 1)(x - 5) = 0 \: \: \: \: \: \: \: \: \: \: \: \: \: }}[/tex]
- Either (x + 1) or (x - 5) is equated to zero
For (x + 1);[tex]{ \rm{x + 1 = 0}} \\ { \rm{x = - 1}}[/tex]
For (x - 5);[tex]{ \rm{x - 5 = 0}} \\ { \rm{x = 5}}[/tex]
Therefore, x is -1 and 5
[tex]{ \bold{ \boxed{ \red{ \delta}}}}{ \underline{ \red{ \mathfrak{ \: \: creed}}}}[/tex]
determine if the table is linear, if so, write an equation for the linear table.
If the table is linear we can find an equation in the form
[tex]y=mx+b[/tex]in which b is the y-intercept and
please help with answer
Answer:
16a^2 - 4b = -8Step-by-step explanation:
16a^2 - 4b = ?
16(1/4)^2 - 4(6) = ?
4^2 - 4(6) = ?
16 - 4(6) = ?
16 - 24 = ?
-8 = ?Answer:
[tex]16(1 \div 4) {}^{2} - 4(6) [/tex]
Step-by-step explanation:
16
[tex]16( \frac{1}{16} ) - 24[/tex]
[tex]1 - 24[/tex][tex] - 23[/tex]What is the measure of angle y
Answer:
In order to answer this question, you have to import and attachment to be more clear
6. If UV bisects XY at point W, which statements must be true?A. UW= WVB. WX = YWC. UV-UW= VWD. W is the midpoint of XYE. U, X, and Yare collinearHC
Answer:
B, C and D.
Explanation:
If UV bisects XY at point W, we have the diagram below:
As can be seen, the point W divides XY into two equal parts: XW and YW.
Therefore:
(B) WX=YW.
Also:
UV = UW+WV
(C)UV-UW=WV
Finally, since W bisects XY, W is the midpoint of XY.
The correct options are B, C, and D.
I need help to find the indicated measure of each angle. I will send the photo.
Explanation
Step 1
we have a rigth triangle, then
Let
[tex]\begin{gathered} \text{angle}=\emptyset \\ \text{adjacent side=14} \\ \text{opposite side= 12} \end{gathered}[/tex]hence, we need a function that relates, angle, adjacent side and opposite side
[tex]\tan \emptyset=\frac{opposite\text{ side}}{\text{adjacent side}}[/tex]now, replace.
[tex]\begin{gathered} \tan \emptyset=\frac{opposite\text{ side}}{\text{adjacent side}} \\ \tan \emptyset=\frac{12}{\text{1}4} \\ \tan \emptyset=\frac{6}{7} \\ In\text{verse tan in both sides} \\ \tan ^{-1}(\tan \emptyset)=\tan ^{-1}(\frac{6}{7}) \\ \emptyset=40.60\text{ \degree} \end{gathered}[/tex]I hope this helps you
write the following in the form a+bi (2+5) - (-6 +bi)
The complex expression (2+5) - (-6 +bi) in the form a + bi is 13 - bi
How to evaluate the expression?The expression is given as
(2+5) - (-6 +bi)
The above expression is a complex expression
So, we have the following expression
(2+5) - (-6 +bi)
Remove the brackets in the above expression
So, we have the following expression
(2+5) - (-6 +bi) = 2 + 5 + 6 - bi
Evaluate the like terms in the above equation
So, we have the following expression
(2+5) - (-6 +bi) = 13 - bi
Hence, the solution to the complex expression is 13 - bi
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In AKLM, 1 = 48 inches, _K=55° and L=46°. Find the length of k, to the nearest
inch.
We have a KLM triangle which as l = 48 in, the angle opposed to K = 55° and the angle opposed to L = 46°.
For this triangle, we have the following relation:
k^2 = l^2+m^2-2*l*m*cos 55°
Without m, we can't find k
What is the value of X? 8X=63.2
the given expression is,
8x = 63.2
x = 63.2/8
x = 7.9
thus, the answer is x = 7.9
i have solved your problem in the answer tab.
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help pls for my freind!!!
What type of angle is this? A. Straight angleB. Supplementary C. Complementary
Recall that when two angles add to give 90 degrees, they are called "complementary angles" This is the case here where you are adding an unknown angle to one that measures 51 degrees to obtain a right angle (90 degrees)
The unknown angle (?) is called the "complementary angle to the 51 degree one.
Please select the third option :
C. Complementary.
Do you remember how it looks an angle that measures 90 degrees? It looks like the angle formed by a square edge, or by two lines that are perpendicular to each other.
When you have two angles one in contact (adjacent) to the other and the two together complete a right angle , those two angles are called complementary angles. There is nothing profound to derive from that, but that it is simply a definition.
fx=-3x+2-1 Find the domain and range
Answer: Domain is All real Numbers and The range is also All real numbers
Step-by-step explanation:
Well any value can be used to fit in for the x value
Part B
? Question
The volume of the rectangular prism is the product of its length, width, and height.
What is the volume of the rectangular prism in simplest terms?
Type the correct answer in the box. Use numerals instead of words.
Answer:
Step-by-step explanation: i really
45^2 ÷ 78 = ????????
To solve the problem find the value of (45)^2 at first
[tex](45)^2=2025[/tex][tex]\frac{2025}{78}=25\text{ R75}[/tex]The answer is 25 with the remainder 75
[tex]25\frac{75}{78}[/tex]You can simplify the fraction to be 25/26
[tex]25\frac{25}{26}[/tex]what are the ratio and decimals for sin a ,cos a,tan a
1. Sin A
[tex]\begin{gathered} \sin A=\frac{15}{21} \\ \sin A=0.714 \end{gathered}[/tex]2. Cos A
[tex]\begin{gathered} \cos A=\frac{16}{21} \\ \cos A=0.761 \end{gathered}[/tex]3. Tan A
[tex]\begin{gathered} \tan A=\frac{15}{16} \\ \tan A=0.937 \end{gathered}[/tex]4. Sin B
[tex]\begin{gathered} \sin B=\frac{16}{21} \\ \sin B=0.761 \end{gathered}[/tex]5. Cos B
[tex]\begin{gathered} \cos B=\frac{15}{21} \\ \cos B=0.714 \end{gathered}[/tex]6. Tan B
[tex]\begin{gathered} \tan B=\frac{16}{15} \\ \tan B=1.066 \end{gathered}[/tex]Jonah picked 287 cherry tomatoes from his garden in May and 339 in June.
How many cherry tomatoes did Jonah pick in all?
The estimate by rounding to the nearest hundred. Then solve.
Jonah picked total 626 cherry tomatoes if she licked 287 cherry tomatoes in May and 330 cherry tomatoes in June.
As the mentioned numbers are in hundreds and not in thousands, the number can not be rounded. Now we will need to perform addition to find the total number of cherry tomatoes picked by Jonah combined in May and June.
Total number of cherry tomatoes = 287 + 339
Performing addition to find the total number of cherry tomatoes picked by Jonah
Total number of cherry tomatoes = 626
Therefore, Jonah picked 626 cherry tomatoes combined in May and June.
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74 - 8 x W = 22
Solve for W
Answer:W=6.5
Step-by-step explanation:
74-8w=22
subtract 74 from both sides
-8w=-52
divide both sides by -8
w=6.5
Answer:
-8w=22-74
-8w=52
w=52÷(-8)
w=-6.5