Paul built a triangular garden in his backyard, which is enclosed by a rectangular fence.
How much of the backyard is not covered by the garden?
452 m2
476 m2
524 m2
548 m2
whats the answer plz
Answers
Answer:
[tex]Area = 476m^2[/tex]
Step-by-step explanation:
Given
See attachment
Required
The uncovered area
First, calculate the area of the rectangle
[tex]Area = Length * Width[/tex]
From the attachment
[tex]Length = 25m[/tex] and [tex]Width = 20m[/tex]
So:
[tex]Area = 25m * 20m[/tex]
[tex]Area = 500m^2[/tex]
The area of the triangle is:
[tex]Area = \frac{1}{2} * Base * Height[/tex]
From the attachment
[tex]Base = 8m[/tex]
[tex]Height = 6m[/tex]
So:
[tex]Area = \frac{1}{2} * 8m * 6m[/tex]
[tex]Area = \frac{1}{2} * 48m^2[/tex]
[tex]Area = 24m^2[/tex]
The uncovered area is:
[tex]Area = 500m^2 - 24m^2[/tex]
[tex]Area = 476m^2[/tex]
Related Questions
-(1/2)³ is equivalent to?
Answers
Answer:
-0.125
Step-by-step explanation:
- Im learning about this , so im not really sure
If one he side of a square note book measures 20cm what is the area of the front cover of the note book
Answers
Answer:
400 sq cm
Step-by-step explanation:
20cm x 20cm
Answer choices please help
240
200
240
280
Answers
plss help mehhhhhhhhhh
Answers
Answer:
12=12 infinitely many solutions
x=8 one solution
4[tex]\neq \\[/tex]6 no solution
Step-by-step explanation:
ʕ•ᴥ•ʔ
Consider this function and its graph. f(x) = tan(3x + pi/4) - 1 Which statement best describes function f?
A. The function is odd.
B. The function is even.
C. There is not enough information to determine whether the function is even or odd.
D. The function is neither even nor odd.
Answers
Answer: D. The function is neither even nor odd.
Step-by-step explanation:
A function f(x) is even if:
f(x) = f(-x) for all x-valies
A function f(x) is odd if:
f(x) = -f(-x) for all x-values.
If there is only one value of x such that the above conditions are false, then the function is neither odd nor even.
In the graph, we can see that:
f( -π/3) = f(π/3)
This would imply that the function is even (at least in that point)
And can also see that as x increases from zero, the value of f(x) increases.
And as x decreases from zero, the graph of f(x) decreases.
So for a point 1 > a > 0, we have that:
f(a) ≠ f(-a)
Then we can conclude that the function is neither even nor odd, the correct option is D.
Answer:
D. The function is neither even nor odd
Step-by-step explanation:
edmentum
I’m Sorry But here’s An Other One :’)
Answers
Answer:
32.34
Step-by-step explanation:
9.35 + 9.35 + 6.82 + 6.82=32.34
Your welcome.
Find an equation of the tangent line to the curve at the given point. y=√x, (49,7) To find the equation of a line, we need the slope of the line and a
Answers
Answer:
The equation of the tangent line to the curve at the given point is [tex]y = \frac{1}{14}(x - 49) + 7[/tex]
Step-by-step explanation:
Equation of the tangent line:
The equation of the tangent line to a function f(x) at a point [tex](x_0,y_0)[/tex] is given by:
[tex]y - y_0 = m(x - x_0)[/tex]
In which m is the slope, which is given by the derivative of f(x) at [tex]x_{0}[/tex]
y=√x, (49,7)
This means that [tex]x_0 = 49, y_0 = 7[/tex]
The derivative is:
[tex]y^{\prime} = \frac{1}{2\sqrt{x}}[/tex]
At [tex]x = 49[/tex]
[tex]m = y^{\prime} = \frac{1}{2\sqrt{49}} = \frac{1}{14}[/tex]
So
[tex]y - y_0 = m(x - x_0)[/tex]
[tex]y - 7 = \frac{1}{14}(x - 49)[/tex]
[tex]y = \frac{1}{14}(x - 49) + 7[/tex]
The equation of the tangent line to the curve at the given point is [tex]y = \frac{1}{14}(x - 49) + 7[/tex]
A measurement of 4.5 yards is how many feet longer than a measurement of 132 inches?
Answers
Answer:
4.5X3=13.5, 132/12=11, 13.5-11=2.5
Step-by-step explanation:
A measurement of 4.5 yards is 2.5 feet longer than a measurement of 132 inches.
As we know that,
[tex]1 yard = 3 feet[/tex]
So, 4.5 yards = [tex]3*4.5=13.5feet[/tex]
[tex]12 inch = 1 feet\\\\132inch = \frac{`132}{12}=11feet[/tex]
Difference between 4.5 yards and 132 inches = [tex]13.5-11=2.5feet[/tex]
Thus, the measurement of 4.5 yards is 2.5 feet longer than a measurement of 132 inches.
Learn more about yards and feet here :
https://brainly.com/question/16101450
Help fast pleaseeeee
Answers
we will find the area of triangle with sides 5y,6y and 9y using herons formula
Determine the area of the shape below. The area is
square centimeters.
6 cm
4 cm
2 cm
3 cm
Answers
Answer:
144
Step-by-step explanation:
6 times 4 = 24
24 times 2 = 48
48 times 3 = 144
What is the equation of the line (-1,-4) (1,0)
Answers
Answer:
what do you mean by equation
Step-by-step explanation:
i was able to get you the slope form of it if thats okay
y=2x-2 in order to find the slope use the pdf i attached it should provide an example
Which equation can be used to describe the pattern in the table
Answers
Answer:
I feel like its C.
Step-by-step explanation:
Answer:
the answer is C
Step-by-step explanation:
because all the a values are 5 more than b
Enter the value of f(4) for the following function:
Answers
Answer:
648
Step-by-step explanation:
8x3x3x3x3=8x81=648
I REALLY NEED SOME HELP WITH THIS!!!!!!!!
Answers
Answer:
50.5
Step-by-step explanation:
please mark brainliest
What fraction is equivalent to 8%
Answers
2/25
4/50
8/100
this are the smallest fractions equivalent to 8%
Answer:
8/100
Step-by-step explanation:
8% = 0.08 = 8/100
let me know if you need more of an explaination <33
What is the answer to this please????
Answers
Answer:
your answer will be
y=40 x +20
Step-by-step explanation:
have a nice day/night ^_^
The height of a rocket, in feet, t seconds after it is launched is modeled by the function h(t) = -16t2 + 125t + 24. Which interval has the largest change in height?
A. 0-1 second
B. 3-4 seconds
C. 5-6 seconds
D. 7-8 seconds
Answers
Answer:
a
Step-by-step explanation:
trust
PLEASE ANSWER!
At a zoo, the lion pen has a ring-shaped sidewalk around it. The outer edge of the sidewalk is a circle with a radius of 11 m. The inner edge of the sidewalk is a circle with a radius of 9 m.
(a) Write and simplify an expression for the exact area of the sidewalk.
(b) Find the approximate area of the sidewalk. Use 3.14 to approximate π.
Answers
A) Area of the sidewalk = R^2 - r^2 - This can be the expression
B) = 3.14
=(R^2-r^2)
=(11^2-9^2)
=(121-81)
=*40
That was the simplified expression
Answer = 3.14 * 40 = 125.6m^2
the area of a trapezium is 400 cm square
Answers
Complete Question:
The area of a trapezium is 400 cm2, the distance between the parallel sides is 16 cm. If one of the parallel sides is 20 cm, then the length of the other side is ______
Answer:
[tex]Side\ 2 = 30cm[/tex]
Step-by-step explanation:
Given
[tex]A= 400cm^2[/tex] --- Area
[tex]h = 16cm[/tex] --- Height
[tex]Side\ 1=20cm[/tex]
Required
The length of the other side (Side 2)
The area of a trapezium is:
[tex]A = \frac{1}{2}(Side\ 1 + Side\ 2) * h[/tex]
[tex]400 = \frac{1}{2}(20 + Side\ 2) * 16[/tex]
[tex]400 = (20 + Side\ 2) * 8[/tex]
Divide both sides by 8
[tex]50 = 20 + Side\ 2[/tex]
Collect Like Terms
[tex]Side\ 2 = 50 - 20[/tex]
[tex]Side\ 2 = 30cm[/tex]
Ms. Smith mixes orange juice with seltzer in a ratio of 3:1. If she uses 48 ounces of orange juice, how many ounces of seltzer does she need?
Answers
Answer:
16 oz
Step-by-step explanation:
the ratio is 3 oz of oj to 1 oz of seltzer.
I pretty much just divided 48 by 3.
I hope this is correct and I hope it helps you!
Discuss the TWO principles that define the Rule of Law.
Answers
Answer:
1. The government as well as private actors are accountable under the law. 2. The laws are clear, publicized, stable, and just; are applied evenly; and protect fundamental rights, including the security of persons, contract and property rights, and certain core human rights.
Step-by-step explanation:
Your welcome<3
Answer:
Step-by-step explanation:
It requires measures to ensure adherence to the principles of supremacy of the law, equality before the law, accountability to the law, fairness in the application of the law, separation of powers, participation in decision-making, legal certainty, avoidance of arbitrariness, and procedural and legal transparency.
Ava bought 2 sandwiches for a total of $5.25, a bowl of soup for $3.00, and a bag of chips for $1.25. How much change did she get back if she paid with a $20.00 bill?
Answers
Answer:
Step-by-step explanation:
5.25
3.00
1.25
_____
$ 9.50
- 20.00
_______
$10.5
Rounded to the nearest hundred thousandth, the number 0.00003216 is???
Answers
Answer:
0.00003 is the nearest rounded hundred thousandth value for 0.00003216
Step-by-step explanation:
The number of the hundred thousandths place is 3.
If we start rounding the figure from the right most number from the decimal point of 0.00003216 , then the new figure would be 0.0000322
Now, this number nearest hundred thousandth rounded number will be 0.00003
please help thank you
Answers
Answer:
a is the answer hope this help:D
Step-by-step explanation:
This problem involves the career plans of students in a biology class. Assume that the class consists of 40 percent freshmen, 10 percent sophomores, 30 percent juniors, and 20 percent seniors. Assume further that 40 percent of the freshmen, 30 percent of the sophomores, 35 percent of the juniors, and 20 percent of the seniors plan to go to medical school. One student is selected at random from the class. (1) What is the probability that the student plans to go to medical school
Answers
Answer:
0.335 = 33.5% probability that the student plans to go to medical school
Step-by-step explanation:
What is the probability that the student plans to go to medical school?
Sum of:
40% of 40%(freshmen)
30% of 10%(sophomores)
35% of 30%(juniors)
20% of 20%(seniors)
So
[tex]p = 0.4*0.4 + 0.3*0.1 + 0.35*0.3 + 0.2*0.2 = 0.335[/tex]
0.335 = 33.5% probability that the student plans to go to medical school
The rectangle below has an area of x2 – 6x – 7 square meters and a width of x– 7 meters.
What expression representsthe length of the rectangle?
Answers
Answer:
The length is (x+1)
Step-by-step explanation:
We know the area equals length times width. LxW=Area
We know the width equals (x-7). We also know the area equals x² - 6x - 7.
We need to expand the area. When we do, we get (x+1)(x-7).
The width is (x-7), so the length must be (x+1)
Chila is measuring a triangle. First, she measures the triangle's angles. Each of the triangle's angles is 60 degrees. Next, she measures its sides. Side A is 6 cm long. Side B is also 6 cm long. What is the length of side C?
Answers
Answer:
Side C is also 6 cm long.
Step-by-step explanation:
Given: Each of the triangle's angles is 60 degrees.
Also, side A is 6 cm long. Side B is also 6 cm long.
To find: length of side C
Solution:
A triangle in which each angle is equal to 60 degrees is an equilateral triangle.
As each of the triangle's angles is 60 degrees, the given triangle is an equilateral triangle.
Sides of an equilateral triangle are equal to each other.
As side A is 6 cm long and side B is also 6 cm long,
side C is also 6 cm long.
A factory makes rods by cutting plastic pipes that are 5 feet long into eight rods how long is each rod ?
Answers
Answer:
0.625 feet long
Step-by-step explanation:
To find how long each rod is, divide 5 by 8, since the 5 feet pipes will become 8 rods:
5/8
= 0.625
So, each rod will be 0.625 feet long
can someone help me with this please
Answers
Answer:
45 degrees I believe
Step-by-step explanation:
Answer: 30 degrees
Step-by-step explanation:
The opposite and hypotenuse sides are given, so we use sine.
sinx = O/H = 25/50
sinx = 1/2
x = 30 degrees
Please solve quickly, will give brainliest
Answers
Answer:
Step-by-step explanation:
for 1 cube of 6 sides, it takes 5 grams
so 1 side is 5/6th grams
now how many sides of small cubes are shown is 42
42*5/6=35 grams
Answer:
180 grams
Step-by-step explanation:
5gramsx number of squares
5gramsx 36=180grams