The courtyard outside East Middle School is in the shape of a rectangle and half-circle.
What is the approximate area of the courtyard?
Answers
Answer:
The correct option is the third one counting from the top. (5892 m^2)
Step-by-step explanation:
First, we need to remember that:
For a rectangle of length L and width W, the area is:
A = L*W
For a circle of diameter D, the area is:
A = pi*(D/2)^2
Where pi = 3.14
In the image, we can see a rectangle and half a circle, the total area of the image will be equal to the area of the rectangle plus the area of the half circle.
In the image, we can see a rectangle of length L = 100m and width W = 50m
Then the area of the rectangle is:
A = 100m*50m = 5000m^2
And we can see that for the half-circle the diameter is D = 50m
Note that the area of a half-circle is half of the area of a complete circle, then the area of that half-circle is:
A = (1/2)*(3.14*(50m/2)^2) = 981.25 m^2
If we add these two areas we get:
Total area = 5000m^2 + 981.25 m^2 = 5981.25 m^2
If we round it up, we get:
Total area = 5982 m^2
The correct option is the third one counting from the top.
Related Questions
-12.3 + 7v = 10.1 solve for V
Answers
Answer:
v=3.2
Step-by-step explanation:
Let's solve your equation step-by-step.
−12.3+7v=10.1
Step 1: Simplify both sides of the equation.
7v−12.3=10.1
Step 2: Add 12.3 to both sides.
7v−12.3+12.3=10.1+12.3
7v=22.4
Step 3: Divide both sides by 7.
7v /7 = 22.4 /7
v=3.2
brainliest?
Find the absolute maximum of (x^2-1)^3 in the interval [-1,2]
Answers
Let f(x) = (x ² - 1)³. Find the critical points of f in the interval [-1, 2]:
f '(x) = 3 (x ² - 1)² (2x) = 6x (x ² - 1)² = 0
6x = 0 or (x ² - 1)² = 0
x = 0 or x ² = 1
x = 0 or x = 1 or x = -1
Check the value of f at each of these critical points, as well as the endpoints of the given domain:
f (-1) = 0
f (0) = -1
f (1) = 0
f (2) = 27
So max{f(x) | -1 ≤ x ≤ 2} = 27.
In Middletown, Main Street and Market Street are parallel to each other. Patrick Street intersects Market Street to form a 76° angle at the northeast corner, as shown in the figure below. What is the measure of the angle formed at the southeast corner of Main Street and Patrick Street? (Note: Each street is straight and has the same uniform width.)
I WILL GIVE OUT BRAINLIEST IF CORRECT!
A. 76°
B. 90°
C. 104°
D. 142°
E. 152° (NOT E)!
Answers
Answer:
e
Step-by-step explanation:
Answer
C
Step-by-step explanation:
76+104 is 180
Can anyone tell me what the answer please
Answers
What you're looking at in this image are two alternate exterior angles.
Alternate exterior angles, are, essentially, exterior angles of a transversal that runs through two parallel lines. These angles are on alternating sides. These angles, assuming the lines are parallel, must be equal.
There's a proof behind why these angles are equal, but I won't bore you with the specifics as the question doesn't require it.
So - we know that these two angles must be equal to prove that the lines A and B are parallel. Knowing this, we can write an equation:
5x + 20 = 3x + 60
Subtract 20 from both sides:
5x + 20 - 20 = 3x + 60 - 20
5x = 3x + 40
Subtract 3x from both sides:
5x - 3x = 3x - 3x + 40
2x = 40
x = 20
If you have any questions on how I got to the answer, just ask!
- breezyツ
Find the area of the circle
Answers
Answer:
49 is the area for the circle
HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answers
Answer:
6/13
Step-by-step explanation:
I will give Brainly plzzz ASAP
Answers
Answer:
Im pretty sure the answer would be 6
Step-by-step explanation:
Just take 42 and divide by 7 to get x
Answer:
did you finish this already
Plzzz guys help me ;( F(x)-mx+ b, f(-2)=3 and f(4)=1 , what is the value of m and b
Answers
Answer:
Plzzz guys help me ;( F(x)-mx+ b, f(-2)=3 and f(4)=1 , what is the value of m and
Find the value(s) of the variable(s). If necessary, round decimal answers to the nearest tenth.
Answers
Answer:
x = 16.2
Step-by-step explanation:
From the question given above, the following data were obtained:
Angle θ = 54°
Hypothenus = 20
Opposite = x =?
The value of x can be obtained by using the sine ratio as illustrated below:
Sine θ = Opposite / Hypothenus
Sine 54° = x / 20
Cross multiply
x = 20 × Sine 54
x = 20 × 0.8090
x = 16.2
Thus, the value of x is 16.2
He measured the pool’s dimensions to be 15 feet long by 35 feet wide. The actual dimensions of the pool are 14.5 feet by 34.75 feet. Find Jack’s percent error to the nearest percent.
Answers
Answer:
Percent error = -4.02 (Approx.)
Step-by-step explanation:
Given:
Estimated pool dimension = 15 ft long and 35 ft wide
Actual pool dimension = 14.5 ft long and 34.75 ft wide
Find:
Percent error
Computation:
Area of Estimated pool = 15 x 35
Area of Estimated pool = 525 ft²
Area of Actual pool = 14.5 x 34.75
Area of Actual pool = 508.875 ft²
Percent error = [(Actual - Estimated) / Estimated]100
Percent error = [(508.875 - 525) / 525]100
Percent error = [(-21.125) / 525]100
Percent error = -4.02 (Approx.)
TANIA WANTS TO BUY STICKERS OVER THE INTERNET. EACH STICKER COSTS $2 AND SHIPPING THE ENTIRE ORDER COSTS $6. IF SHE CAN SPEND NO MORE THAN $30, HOW MANY STICKERS CAN SHE BUY? WRITE AND SOLVE AN INEQUALITY SHOWING THIS SITUATION. CHECK THE IN THE Soultion in the inequality.
Answers
which of the following sequences of transformation maps MNO onto ABC?
Answers
Answer:
MNO no se estoy en 6th y no se pero esta es mi respuesta espero y me la saco bien
The sequence of transformations T(–2, 4) ry-axis ry-axis T(2, –4) can be used to map triangle MNO onto M"N"O".
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
The given sequence of transformations is:
T(–2, 4) - translation by (-2, 4)
ry-axis - reflection across the y-axis
ry-axis - reflection across the y-axis
T(2, –4) - translation by (2, -4)
We can check whether this sequence of transformations maps triangle MNO onto M"N"O" by applying each transformation to the coordinates of triangle MNO in order:
T(–2, 4) maps M(5,-4) to M'(3,0), N(3,-2) to N'(1,2), and O(1,-3) to O'(-1,1).
ry-axis reflects M'(-3,0) to M"(-3,0), N'(1,2) to N"(-1,2), and O'(-1,1) to O"(1,1).
ry-axis reflects M"(-3,0) back to M"(-3,0), N"(-1,2) back to N"(-1,2), and O"(1,1) back to O"(1,1).
T(2, –4) maps M"(-3,0) to M'(-1,-4), N"(-1,2) to N"(1,-2), and O"(1,1) to O"(3,-3).
The resulting coordinates M'(-1,-4), N'(1,-2), and O'(3,-3) are the coordinates of triangle M"N"O".
Therefore, the given sequence of transformations T(–2, 4) ry-axis ry-axis T(2, –4) can be used to map triangle MNO onto M"N"O".
To learn more on Statistics click:
https://brainly.com/question/30218856
#SPJ2
Please help with these two problems don't rip me off I'm being generous.
Answers
Answer:
8 is $230
Step-by-step explanation:because there is a fee of $55 and $25 a week, the $55 is a one time charge and then $25 times 7 weeks is $175 then $55+$75 is $230
Which of these expressions is equal to 3(30 - p)?
Answers
Answer:
[tex](3 \times 30) - (3 \times p)[/tex]
Answer B is correct
Step-by-step explanation:
[tex]3(30 - p) \\ (3 \times 30) - (3 \times p)[/tex]
hope this helps youcan I have the brainliest please?
Answer:
B
Step-by-step explanation:
B is correct. According to the distributive property of multiplication, we have 3(30 - p) = 3·30 - 3·p
Find the third quartile Q3 of the list of 24 sorted values shown below.
30 31 31 37 38 38 39 39 42 42 43 46 47 48 50 52 54 57 61 63 68 69 76 79
The third quartile Q3 is
(Type an integer or a decimal.)
Answers
Answer:
60
Step-by-step explanation:
The computation of the third quartile is given below:
The third quartile Q3 is
= 3(n + 1)÷ 4
= 3 (24 + 1) ÷ 4
= 75 ÷ 4
= 18.75th term
Now the 18.75th term is
= 18th term + 0.75 term
= 57 + (19 term - 18term)
= 57 + 0.75 (61 - 57)
= 57 + 0.75 (4)
= 60
Your round-trip drive to work is 4 1. miles. How many miles do you drive to and from
work in 3 days?
7 3/10
12 3/10
12 9/10
8 3/5
Answers
Please help me!
1. Find the coordinates of the vertices of the feasible region. Next, Find the value for R for each vertex
2. Consider the feasible region in the xy-plane defined by the following linear equalities:
X>=0
Y>=0
X<=12
X + Y >= 4
-X + 2Y <= 14
A. Find the value of Q=70x+82y for each vertex
B. What are the minimum and maximum values of the function Q on the feasible region?
Answers
helppppppppppppppppppppppppp
Answers
3+12+12+13
=40
Answer:
The perimeter of this figure is 40 milimeters.
Step-by-step explanation:
Add all sides' lengths:
3+ 12 + 12+ 13 = 40
Each interior angle of a regular nonagon has a measure 13x+10°. What is x?
Answers
Answer:
Step-by-step explanation:
A nonagon has nine sides.
The sum of exterior angles = 360°, so each exterior angle is 360°/9 = 40°.
Each interior angle = 180°-exterior angle = 140°.
13x + 10° = 140°
x = 10°
An atom of gold has a mass of approximately 3.25 x 10-22 grams. What is the mass of
7000 atoms of gold? Express your answer in scientific notation.
Answers
What's the inverse of 3x+2
Answers
Answer:
The inverse is
y = 1 /3 x − 2 /3
Step-by-step explanation:
COLLEGE MATH! HARD!
NO LINKS OR YOU WILL BE REPORTED!!!!!!!!!
Find the formula for the function of the form w(x)= Asin(Bx)+C with an (i) a maximum (3,6),(i) a minimum at (-9,6), and (iii) no critical points between these two points
Answers
Answer : W (x) = - cos (Bx) A / B + cx+C
(If confused (written out) : Negative cos (Bx) A over B then + cx + C
I’m not sure if this is what you were looking for , Just tryna help.
How do I solve this quadratic using the square root property
Answers
Answer: x=2−2√3,2+2√3
Step-by-step explanation:
I know how to solve this problem
Tara had 1 5/8 pounds of dried nuts. She ate 1/4 pound of dried nuts each day for 6 days? How many pounds of dried nuts did Tara have left after 6 days?
Answers
Answer:
1/8
Step-by-step explanation:
its easy just count backwards by 2/8 each time
POSSIBLE POINTS: 5
Taina found the area of a table in the shape of a trapezoid. The height of the trapezoid is 10 ft, base one is 6 ft and base two is 5 ft. Taina says the area of the figure
is 110 square foot inches. What mistake did Taina make? What is the actual answer?
Answers
9514 1404 393
Answer:
wrong formulawrong unitsStep-by-step explanation:
The formula for the area of a trapezoid is ...
A = 1/2(b1 +b2)h
A = (1/2)(6 ft +5 ft)(10 ft) = 55 ft²
The numerical value of the answer would be 110 if we "forgot" to multiply by 1/2.
The area units would be "square foot inches" if inch dimensions crept into the problem somewhere.
It looks like Taina made two mistakes:
didn't correctly use the correct formuladidn't pay attention to area unitsIt takes Bethany 9 hours to proof a chapter of Hawkes Learning Systems' College Algebra book and it takes Nina 5 hours. How long would it take them working together
Answers
Hello!
Here we could use something called the work equation.
If [tex]x[/tex] is considered proofing a chapter of the book, we can set up an equation such as, [tex]\frac{1}{9}+\frac{1}{5}=\frac{1}{x}[/tex].
Then, all we do is solve for it.
[tex]\frac{1}{9}+\frac{1}{5}=\frac{1}{x}[/tex]
[tex]5x+9x=45[/tex]
[tex]14x=45[/tex]
[tex]x=\frac{45}{14}[/tex]
So working together, it would take them [tex]\frac{45}{14}[/tex] hours to proof a chapter of the book.
Hope this helps!
PLEASE HELP !! ILL GIVE BRAINLIEST !! 100 POINTS
Answers
Answer:
third option
Step-by-step explanation:
Help please will mark brainliest!!!
Answers
Answer:
9 times 2 because of the 2 sides meaning... the answer is... 18 but also had to round it up to 20 because it's higher than 5 its 2 left but if necessary i think you need to add 9 more on the other side with the 9 across and do the same with the 2 mi!
Step-by-step explanation:
Hope i helped! Your welcome! Have a great week!
How can I solve this quadratic using the square root properly?
Answers
Answer:
x = +3
Step-by-step explanation:
4x² = 36
sqareroot both side we get,
√4x² = √36
2x = 6
x = 6/2
x = +3
Thus, The answer is +3
-TheUnknownScientist
Answer:
4x^2 = 36
________ x^2 = 9. square root of 9
4. = 4. x = 3
Step-by-step explanation:
Divide both sides by 4 to isolate the square root.
So, you will end up with x^2 = 9
then take the square root of 9,
square root of 9 is 3.
So x = 3
PLS HELP!!!!
72 REWARD BC ITS URGENT :(
Which of the following equations is not balanced?
A. N2 + 3H2 --> 2NH3
B. Mgl2 + Br2 --> MgBr2 + I2
C. KCIO3 --> KCI +O2
D. HCI + NaOH --> NaCI +H2O