Correction in the Question:
A wooded area is in the shape of a a trapezoid whose bases measure 128 m and 92 m and its height is 40 m. A 4 m wide walkway is constructed which runs perpendicular from the two bases. Calculate the area of the wooded area after the addition of the walkway.
Answer:
The wooded area after the addition of the walkway is 4240 [tex]m^2[/tex].
Step-by-step explanation:
we are given
length of the two bases = 128m and 92m
height of the trapezoid = 40m
the approximate figure of the given trapezoid is given as:
__ __ __ 92 __ __ _
/ | | | \
/ | 40 |4| \
/__ _| __ __ | |__ __ __ __ \
128
Area of a trapezoid = [(a + b)/2] * height, where a and b are representing the bases of the given trapezoid.
Area = [(92 + 128)/2] * 40
= [220/2] * 40
= 110 * 40
= 4400 [tex]m^2[/tex]
Now there is a 4m wide walkway is to be constructed in that trapezoid. The pathway will be a rectangle as it has 4m width and 40m height as it is perpendicular to both the bases.
Area of a rectangle = length * width
Area = 40 * 4
= 160
Since the walkway will reduce the area of the trapezoid as it is constructed upon it therefore the wooded area after the addition of the walkway is
4400 + (-160) = 4240 [tex]m^2[/tex].
11. Which set of ordered pairs represents y as a function of x?
A. {(-4,-3), (-4,-2), (-3,-3), (-3,-2)}
B. {(2.0), (4,0), (4,2), (6, 2)}
C. {(6,-2), (6.0), (6,2), (6,4)}
D. {(0, 0), (2, -4), (4, -8), (6,-12)}
Answer is C. {(6,-2), (6.0), (6,2), (6,4)}
Step-by-step explanation:
Your welcome
I need help!!
A regular heptagon is shown below. What is the value of x? *
Answer:
Value of X=51.43
Step-by-step explanation:
the measure of the central angle of a regular heptagon is about 51.43 degrees which = X
if this helped please leave a rating and mark me brainliest
Choose the best term from the box.
The ?
of an object is how heavy the object is.
?
weight
length
capacity
15
One of the legs of a right triangle measures 12 cm and the other leg measures 13 cm find the measure of the hypotenuse if necessary round the nearest 10th
Answer:
17.7 cm
Step-by-step explanation:
One of the legs of a right triangle measures 12 cm and the other leg measures 13 cm find the measure of the hypotenuse if necessary round the nearest 10th
To find the Hypotenuse of a right angle triangle, we solve using Pythagoras Theorem
Hypotenuse ² = Opposite ² + Adjacent ²
Hypotenuse = √Opposite ² + Adjacent ²
Opposite = 12 cm
Adjacent = 13 cm
Hence,
Hypotenuse = √12² + 13²
= √144 + 169
= 17.691806013 cm
Approximately = 17.7 cm
Therefore, the measure of the Hypotenuse is 17.7 cm
Shirley is saving money to buy a computer.
• The computer she will buy costs $1,200.00
• She has already saved $300.00
Shirley will save $60.00 per week until she has enough money to buy
the computer.
Answer:
It will take her 15 weeks to have enough money for the computer.
Step-by-step explanation:
$1200 - $300 = $900
900 divided by 60 gives you 15
Therefor, it'll take Shirley 15 weeks to save $1200.
write the number thirty three in figures
Answer:
3x10 15x2 5x6
Step-by-step explanation:
What is 5x÷6=20
Pls help I can't figure it out
Answer:
x= 24
Step-by-step explanation:
5x=20*6
x=120/5
x=24
Hope this helps! Plz mark as brainliest! :)
How to do this with steps please help !
Answer:
126+111+43+8=288
360-288=72
72÷12=6
x=6
Answer:
x=6
Step-by-step explanation:
Step by step explaination attached below.
How high is the hands of the superhero balloon above the ground? The hand is ____ feet above the ground.
Answer:
61 ft
Step-by-step explanation:
since it's equal
u look cute in that pfp
Which rectangular equation represents the parametric equations x =t Superscript one-half and y = 4t? y = 4x2, for x ≥ 0 y = one-fourth x squared, for x greater-than-or-equal-to 0 y = 16x2, for x ≥ 0 y = StartFraction 1 Over 16 EndFraction x squared, for x greater-than-or-equal-to 0
Answer:
Answer is Option A
Step-by-step explanation:
the things people do for points smh :/
The rectangular equation which represents the parametric equations; x = t^(¹/2) and y = 4t is; y = 4x2, for x ≥ 0.
Rectangular Equation from Parametric equationsFrom the task content, it follows that the parametric equations given are;
x = t^(¹/2) and y = 4tHence, it follows that; t = x² and y= 4t
Ultimately, upon substitution of x² for t; the resulting rectangular equation is; y = 4t².
Read more on rectangular equations;
https://brainly.com/question/20338165
Find the axis of symmetry and the vertex of the graph (Desmos)
Answer:
The axis of symmetry is x=3, the vertex of the graph is (3,-2)
Step-by-step explanation:
[tex]f(x)=(x^{2} -6x+9)-9+7[/tex]
[tex]=(x-3)^{2} -2[/tex]
Please answer this is my last few points
Answer:
first is some and second is all
Step-by-step explanation:
PLEASE GIVE BRAINLIEST!!!!!!!!!!
Answer:
1. All
2. Some
Step-by-step explanation:
I belive this awnser is correct
PLEASE HELP THIS IS TIMED!!
Answer:
(D) 3/10
Step-by-step explanation:
So its split into 10 different rates each and its on the third split So 3/10.
Which is missing from step 4?
Add the data for each interval.
Put a point on each line of the y-axis that has data.
Put the data in order in the table.
Create the bars.
Answer:
The answer u put in the thing is correct!
Step-by-step explanation:
1. A random sample of 400 married couples was selected from a large population of married couples. There were 20 couples in which the wife was taller than her husband, and there were 380 couples in which the wife was shorter that her husband. Find a 95 percent confidence interval for the proportion of married couples in the population for which the wife is taller than her husband. Interpret your interval in the context of this question.
Answer:
[tex]CI = (0.028636,0.071364)[/tex]
I am 95% confident that the true proportion of couples where the wife is taller than her husband is captured in the interval (.028, .071)
Step-by-step explanation:
Given
[tex]n = 400[/tex]
[tex]x = 20[/tex] --- taller wife
[tex]y = 380[/tex] --- shorter wife
Required
Determine the 95% confidence interval of taller wives
First, calculate the proportion of taller wives
[tex]\hat p = \frac{x}{n}[/tex]
[tex]\hat p = \frac{20}{400}[/tex]
[tex]\hat p = 0.05[/tex]
The z value for 95% confidence interval is:
[tex]z = 1.96[/tex]
The confidence interval is calculated as:
[tex]CI = \hat p \± z \sqrt{\frac{\hat p (1 - \hat p)}{n}}[/tex]
[tex]CI = 0.05 \± 1.96* \sqrt{\frac{0.05 (1 - 0.05)}{400}}[/tex]
[tex]CI = 0.05 \± 1.96 * \sqrt{\frac{0.0475}{400}}[/tex]
[tex]CI = 0.05 \± 1.96 * \sqrt{0.00011875}[/tex]
[tex]CI = 0.05 \± 1.96 * 0.01090[/tex]
[tex]CI = 0.05 \± 0.021364[/tex]
This gives:
[tex]CI = (0.05 - 0.021364,0.05 + 0.021364)[/tex]
[tex]CI = (0.028636,0.071364)[/tex]
HURRY PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
48 is the answer
Step-by-step explanation:
9*4 +. 6*2
36 + 12
48
How many pints is 80 cups
Answer:
40
Step-by-step explanation:
2 cups = 1 pt
therefore
1/2 is the equation
...
80/2 = 40
help please i will give brainliest to first answer
Answer:
m<ADC= 117
Step-by-step explanation:
Please help me with the questions
Answer:
x = 5
x = 2
Step-by-step explanation:
2(2x + 4) = 8x - 12
2x + 4 = 4x - 6
x + 2 = 2x - 3
x = 5
Question 17
8/4 = (x + 2)/(2x - 2)
2(2x - 2) = x + 2
4x - 4 = x + 2
3x = 6
x = 2
A silo is a composite of a cylindrical tower with a cone for a roof. What is the volume of the silo if the radius of the base is 40 feet, the height of the roof is 10 feet, and the height of the entire silo is 75 feet?
a. 393,746.3 ft
b. 343,480.8 ft
c. 326,725.6 ft
d. 376,991.1 ft
Answer:
The answer is b. 343,480.8ft
Step-by-step explanation:
I thought it was c at first because I forgot to add the volume of the cone.
The equation for the volume of a cylinder is V=π×r²×h
The solution would look like V=π40²×65=326725.8
The equation for the volume of a cone is V=1/3πr²×h
The solution would look like V=1/3π×40²×10=16755
Adding the two volumes would equal 326725.8±16755= 343480.8
-48+6
+(-3)(-4) (-2)
-7
Answer:
-73
Step-by-step explanation:
-48+6-24-7 = -73
I made a fort by connecting two boxes. The first box is 5 meters long, 9 meters wide, and 9 meters high. The second box is 3 meters long, 8 meters wide, and 2 meters high.
Complete question :
I made a fort by connecting two boxes. The first box is 5 meters long, 9 meters wide, and 9 meters high. The second box is 3 meters long, 8 meters wide, and 2 meters high. How many cubic meters of space does my fort have?
Answer:
453 m³
Step-by-step explanation:
Volume of first box :
Volume = Length * width * height
Volume = 5 * 9 * 9
Volume = 405 m³
Volume of second box :
Volume = Length * width * height
Volume = 3 * 8 * 2
Volume = 48 m³
Total volume :
405m³ + 48m³ = 453m³
Find the perimeter and thank
Answer:
12
..................................................
Step-by-step explanation:
2 + 2 + 1 + 2 + 1 + 4 = 12
Answer:
12 centimeters
Step-by-step explanation:
The double dashes are both the same number. Since the base is 4cm and they have to be two of the same number, the double dashes are each 2cm long. Meanwhile, the height is 2cm, and the single dashes are two of the same numbers (but not 2cm, because that's what the double dashes are). So, each dash must be 1cm long. When you add them up: [tex]4+2+2+2+1+1=12[/tex]
Drag each sign or value to the correct location on the equation. Each sign or value can be used more than once, but not all signs and values will
be used.
The focus of a parabola is (-4,-5), and its directrix is y=-1. Fill in the missing terms and signs in the parabola's equation in standard form.
Answer: (x+4)² = -8 (y+3)
Step-by-step explanation: I got this correct on Edmentum.
The product of three consecutive non-zero integers is taken. Which statement must be true?
Select one:
O A. The third consecutive integer must be even,
B. The product must be odd,
C. Two of the three integers must be even.
D. The product must be even.
E. Two of the three integers must be odd.
©
Answer:
d
Step-by-step explanation:
integer is a whole number
imagine the sum of the first set of 3 integers = 4 + 5 + 6
product = 4 x 5 x 6 = 120
imagine the sum of the 2nd set of 3 integers = 6 + 7 + 8 = 21
6 x 7 x 8 = 3364
Solve for x , assume all segments that appear tangent are tangent.
Answer:
Step-by-step explanation:
x = 5
The value of x in the given angle is 5.
What is circle?A circle is a particular type of ellipse in mathematics or geometry where the eccentricity is zero and the two foci are congruent. A circle is also known as the location of points that are evenly spaced apart from the centre. The radius of a circle is measured from the centre to the edge.
Labelling the figure,
We have,
Measure of complete angle of circle = 360 degree
∠ABC = 360 - (81 + 74)
= 205 degree
Now from figure,
∠APE = (205 - 81 )/2
= 62 degree
Since we know that,
∠APE = 17x - 23
Therefore,
17x - 23 = 62
17x = 85
x = 5 degree,
Hence,
Required value is 5.
To learn more about cirlce visit:
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help║...................
If water flows through the pipe at a rate of 2L per seconds. How much water will pass through the pipe in 1/2hour
Answer:
3600 Liters
Step-by-step explanation:
The given rate is 2L and we have to find how much water will flow in 1/2 hours at the same rate
1/2 hour is the same thing as 30 mins
multiply by 60 to convert minutes to seconds
[tex]3omin * \frac{60sec}{1min} = 1800 s[/tex]
since the rate is 2L per second we multiply 1800 by 2 and get 3600 Liters
The average car decreases in value by about 15% per year. If a car's original value is $28,000, which function best represents its value, y, after t years?
A. y=28,000(1+15)^t
B. y=28,000(1+0.15)^t
C. y=28,000(1-15)^t
D. y=28,000(1-0.15)^t
Answer:
D
Step-by-step explanation:
D
How many books recommended by the book reading club would you actually buy? Which book was first recommended to be read by the book club during the summer break? Who wrote a statistical question and why?
Answer:
7
Step-by-step explanation:
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