Answers
Area of triangle:-
1/2(6)(12)6(6)=36cm²Area of rectangle (Including semicircle)
12(21)252cm²Area of semicircle
πr²/2π(6)²/218πcm²56.52cm²TOTAL area:-
36+252-56.52288-56.52231.48cm²
Answer:
231.48 cm²
Step-by-step explanation:
Formulae
Area of a rectangle = width × length
Area of a triangle = 1/2 × base × height
Area of a semicircle = 1/2 πr²
To find the shaded area:
Find the area of the rectangle. Subtract the area of the semicircle from the rectangle. Add this to the area of the triangle.
Area of the rectangle:
= 12 x 21
= 252 cm²
Area of the semicircle:
= 1/2 π(12 ÷ 2)²
= 1/2 · 3.14 · 6²
= 1/2 · 3.14 · 36
= 56.52 cm²
Area of the triangle:
= 1/2 x 6 x 12
= 36 cm²
Shaded area:
= area of rectangle - area of semicircle + area of triangle
= 252 - 56.52 + 36
= 194.48 + 36
= 231.48 cm²
Related Questions
PLSSS HELP IF YOU TURLY KNOW THISS
Answers
Answer:
6/5 or A. 1 1/5
Step-by-step explanation:
Hey there!
In order to simplify this, you need to add the numerators but not the denominators since they are the same
4+2=6
So this shows that the answer is 6/5 or 1 1/5
Answer:
6/5 or 1 1/5 or A
Step-by-step explanation:
In order to simplify this, you need to add the numerators but not the denominators since they are the same
4+2=6
So this shows that the answer is 6/5 or 1 1/5
For which intervals is the function increasing?
Select each correct answer.
(2, ∞)
(1, 2)
(−∞, 0)
(0, 1)
Answers
Answer:
That would be (2, infinite)
Step-by-step explanation:
hope this helps
. The difference between the length and width of a rectangle is
7 cm. The perimeter of the rectangle is 22 cm. Find the length
and the width. (Remember, P= 21 + 2w.)
Answers
Answer:
Rectangle
Solve for length
l=4cm
w Width
7
cm
P Perimeter
22
cm
Using the formula
P=2(l+w)
Solving forl
l=P
2﹣w=22
2﹣7=4cm
What's 83% of £408 and what is 41% of 53g and what is 97% of 345m
Answers
Answer:
338
21.73
334.65
Step-by-step explanation:
mulitply 408×.83
multiply 53×.41
mulitply 345×.97
alguien me ayuda ,, Hallar la suma de los primeros 20 numeros multiples de 3
Answers
Answer:
630
Step-by-step explanation:
1st = 3
2nd = 6
3rd = 9 ...
20th = 60
Súmalos todos juntos para encontrar la suma.
3 + 6 + 9 + 12 + 15 + 18 + 21 + 24 + 27 + 30 + 33 + 36 + 39 + 42 + 45 + 48 + 51 + 54 + 57 + 60 = 630
La suma de los primeros 20 múltiplos de 3 es 630
¡Espero que esto ayude!
What is the correct answer for this
Answers
Answer:
The answer for this question is 9.
Step-by-step explanation:
8.5 x 4 x 9 is 306
Answer:
P = 9 mm
Step-by-step explanation:
306 = P X 8.5 X 4
306 = 34P
[tex]306/34 = P[/tex]
P = 9 mm
Hope this helps
Expand & simplify
4
(
g
+
4
)
−
6
(
g
+
2
)
Answers
Answer:
i dont know I have the same questions aswell
If ∠AOC = (4x -16) and ∠BOC = 2(x + 20), Determine the value of x.
Answers
Answer:
x = 28
Step-by-step explanation:
4x-16 = 2(x+20)
4x-16 = 2x+40
Divide 2x from each side:
2x-16 = 40
Add 16 to each side:
2x = 56
Divide each side by 2:
x = 28
Mr. Beasley's science class wants to decorate one wall in the classroom like an underwater scene. They use sheets of blue poster board that are 2 feet long and 2 feet wide. How many sheets of blue poster board are used to cover the entire area of the wall? use math words and symbols to explain how you solve
Answers
Answer:
however big her wall is. if you give me how big her wall is i can help u more on this
Step-by-step explanation:
What to do: Complete each of the following problems involving ladders and walls by using trigonometric functions and inverse trigonometric functions to determine unknown lengths and angle measures.
Questions:
a) A ladder is placed against the wall of a building such that the bottom of the ladder is 3 ft from the bottom of the wall. If the ladder forms a 14 degree angle with the building, how high up the wall does the ladder reach?
b) A 15 foot ladder is leaned against a wall so that the bottom of the ladder forms a 75 degree angle with the ground. How far up the wall does the ladder reach?
c) You need to paint shutters on a window that is on the second floor of your house. You have a 20 foot ladder that you will use. There is a warning on the ladder that states the angle formed by the ladder and the ground must not be less than 70 degrees, or the ladder may slip and cause serious injury or death. You planned on placing the bottom of the ladder 3 feet from the base of the house.
Will the angle formed between the ground and the ladder be safe? What is the furthest possible distance the ladder can be placed to maintain a safe angle?
How you must answer:
- Sketch:
-We know:
-We want
-Rationale: Which ratio will you use and why?
-Solution
How do you answer:
= you must include an accurate sketch
= a statement identifying the known information - we know
= a statement that tells what you are solving for - we want
= the equation you used to solve the problem
Answers
Answer:
Step-by-step explanation:
a) x be the height of the wall
[tex]tan \ 14 =\dfrac{opposite \ side}{adjacent \ side}\\\\\\0.2493 = \dfrac{3}{x}\\\\\\x*0.25 = 3\\\\x = \dfrac{3}{0.25}\\\\\\x = 12 ft[/tex]
b) Let y be the hieght of the wall
[tex]Sin \ 75 = \dfrac{opposite \ side}{hypotenuse}\\\\\\0.9659 = \dfrac{y}{15}\\\\\\0.97*15=y\\\\[/tex]
y = 14.6 ft
c) Let the angle formed between the bottom of the ladder to the ground be 'x'
[tex]Cos \x =\dfrac{adjacent \side}{hypotenuse}\\\\Cos \ x =\dfrac{3}{20}\\\\\\Cos \x = 0.15\\\\x = Cos^{-1} \ (0.15)\\\\[/tex]
x = 81°
No, the angle formed between the ground and the ladder is not safe as it is more than 70°
Let the farthest possible distance ladder placed from the wall be 'y'
[tex]Cos \ 70 =\dfrac{adjacent \ side }{hypotenuse}\\\\0.342 = \dfrac{y}{20}\\\\0.3*20=y[/tex]
y = 6 ft
6 ft is the furthest possible distance the ladder can be placed to maintain a safe angle.
What is the solution to the system of equations
y=3x+7
2x+3y=32
Answers
Answer:
x=1, y=10
Step-by-step explanation:
I'm gonna use the method of substitution.
2x+3(3x+7)=32
2x+9x+21=32
11x=11
x=1
y=10
Answer number 3 pleaseee
Answers
Answer:B=24 in²
B'=12 in²
B^=6 in²
I think the answer is B
Step-by-step explanation: I put the explaination with the answer
Answer:
C
Step-by-step explanation:
24 × 1/2 = 12
can we be friends?
Could someone please help me with this problem and give me an explanation on how to solve it?
Answers
Answer:
B
Step-by-step explanation:
(a^3/2) / a
= a^(1/2)
= √a
= B
Answer:
D. A ( a-1/2)
Step-by-step explanation:
Hello!!
You must cancel out the common factor or in this case, ( a3/2) on the top.
You will now have ( 3/2) which should then be simplified to ( 1 1/2) or in this case ( A- 1/2)
Hope this helped!. :)
If q is inversely proportional to p and q =120 and p=2
Answers
Answer:
complete your question please
A clothing store sells shirts with long, short, or no sleeves. Each style is available in gray, red, or pink. A clerk incorrectly states the sample space for the possible color and sleeve styles as (gray, long), (gray, short), (red, long), (red, short), (pink, long), and (pink, short). Use a table to show the sample space. What error did the clerk make?
Need asap
Answers
Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)
Answers
Answer:
3.5
Step-by-step explanation:
Set up the Pythagorean Theorem (a^2 + b^2 = c^2) where the unknown side is x:
2^2 + x^2 = 4^2
4 + x^2 = 16
x^2 = 12
x = ± sqrt(12)
x ≈ 3.5
Note: '^' means "to the power of", so '^2' means "squared"
10. A table tennis ball has a diameter of 40 mm. What is the surface area of the tabletennis ball?
Answers
Answer:
D
Step-by-step explanation:
The equation is 4πr²
The radius is half the diameter so divide the diameter by 2
40÷2=20
4π(20)²=5026.55mm
Rounds to 5027
There are 70
70
days in ten weeks.
Based on the mean from the sample, how many more guests will stay at the small hotel than at the bed and breakfast in a 10
10
-week period?
Answers
Based on the mean from the sample, I would expect that the number of guests that will stay at the small hotel than at the bed and breakfast would be 4.50.
How many more guests will stay at the small hotel than at the bed and breakfast?
Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number
Mean = sum of the numbers / total number
The number of guests at the small hotel in excess of those at the bed and breakfast = 7.75 - 3.25 = 4.50
To learn more about mean, please check: https://brainly.com/question/25842202
Answer:
315 more guests will stay at the small hotel than at the bed and breakfast in a 10-week period.
----------------------------------------------------------------------------------------------------------
At the small hotel, a mean of 7.75 guest stay per night. 10 weeks have 70 days, then the total amount is:
S = 7.75 x 70 = 542.5
At the bed and breakfast, the mean was of 3.25 guests per night, hence:
B = 3.25 x 70 = 227.5.
The difference is given by:
S - B = 542.5 - 227.5 = 315.
Therefore, 315 more guests will stay at the small hotel than at the bed and breakfast in a 10-week period.
How many solutions can be found for the equation 5x + 3(x − 1) = 10x − 2x − 3? (4 points) None
One
Two
Infinitely many
Answers
Answer:
infinitely many
Step-by-step explanation:
5x+3(x-1)=10x-2x-3
5x+3x-3=10x-2x-3
8x-3=8x-3
Identify the solution to the system of equations
{x=-2y-6 -3x-7y=18
Answers
Answer:
(- 6, 0 )
Step-by-step explanation:
x = -2y - 6 → (1)
- 3x - 7y = 18 → (2)
substitute x = - 2y - 6 into (2)
- 3(- 2y - 6) - 7y = 18 ← distribute parenthesis and simplify left side
6y + 18 - 7y = 18
- y + 18 = 18 ( subtract 18 from both sides )
- y = 0 , then
y = 0
substitute y = 0 into (1)
x = - 2(0) - 6 = 0 - 6 = - 6
solution is (- 6, 0 )
Answer:
(x, y) = (-6, 0)
Step-by-step explanation:
A system of equations is easily solved using a graphing calculator. The attached shows the solution to be ...
(x, y) = (-6, 0)
__
The first equation gives a convenient expression for substituting for x in the second equation:
-3(-2y -6) -7y = 18
18 -y = 18 . . . . . . . . simplify
y = 0 . . . . . . . . add y-18
x = -2(0) -6 = -6
The solution by substitution is (x, y) = (-6, 0).
Use substitution to solve the system.
2y-13=x
-4x+5y=40
X=
Y=
Answers
y=4
x=-5
Step-by-step explanation:
-4(2y-13) + 5y = 40
-8y + 52 + 5y = 40
-3y + 52 = 40
-3y = -12
y=4
x=-5
An art teacher put 108 markers on the 8 tables in her room she gave out the greatest number of markers possible so that each table had the same number of markers how many markers were left over?
Answers
Answer:
4 markers left
Answer:
4 markers
Step-by-step explanation:
108/8=13.5
13x8=104
108-104=4
Andrea went strawberry picking. She picked 245 strawberries. Julio went with her and picked
x fewer than she did. Write an expression that shows the number of strawberries that Julio
picked?
Answers
Answer:
245-x
Step-by-step explanation:
Since x is the anount fewer than the mount Andrea picked, to get Julio's amount you would subtract x from 245.
Write an equation for the line that passes through (−8.5,11) and (5,−2.5)
Answers
y = -x + 2.5
slope formula:
[tex]\sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]
find slope:
[tex]\rightarrow \sf \dfrac{-2.5-11}{5-(-8.5)}[/tex]
[tex]\rightarrow \sf \dfrac{-13.5}{13.5}[/tex]
[tex]\rightarrow \sf -1[/tex]
equation formula:
[tex]\sf y_1-y = m(x_1-x)[/tex]
find equation:
[tex]\hookrightarrow \sf y-11=-1(x-(-8.5)[/tex]
[tex]\hookrightarrow \sf y-11=-x-8.5[/tex]
[tex]\hookrightarrow \sf y=-x-8.5+11[/tex]
[tex]\hookrightarrow \sf y=-x+2.5[/tex]
Slope:-
m=-2.5-11/5+8.5m=-13.5/13.5m=-1Equation in point slope form
y-11=-1(x+8.5)y-11=-x-8.5y=-x+2.5I dont know how to solve equations by completing the square x^2 −51=14x
Answers
Answer:
or, x^2-14x-51=0
or, x^2-(17-3)x-51=0
or, x^2-17x+3x-51=0
or, x(x-17)+3(x-17)=0
or, (x-17)(x+3)=0
Either, x-17=0. Or, x+3=0
x=17. x= -3
Hence,x=17, -3
[tex]x^2-51=14x\\\\\implies x^2-14x = 51\\\\\implies x^2 -2\cdot 7\cdot x+7^2-7^2 =51\\ \\\implies x^2 -2\cdot 7 \cdot x +7^2 = 51 +49\\\\\implies (x-7)^2=100\\\\\implies x-7 = \pm\sqrt{100}\\\\\implies x =\pm10+7\\ \\\text{Hence,}~ x=17, ~x=-3[/tex]
What is the price per foot.
Answers
Step-by-step explanation:
oh, come on ! you really cannot figure that one out ?
as there are 3 ft in 1 yd, 6 yd are then 6×3 = 18 ft.
so, 18 ft cost $2.88
1 ft costs then 2.88/18 = $0.16
What is the mean of 75,14,48,81,39,67,33,19
Answers
Answer:
47
Step-by-step explanation:
To find the mean, you sum all the numbers, then count the number of numbers you summed up (amount of numbers in the array which in this case is 8) and then divide the two. So you get
Σarray/arraysize = 75+14+48... / 8
Answer:
Mean = 47
Step-by-step explanation:
Given terms :
7514488139673319The mean is equal to the sum of the terms divided by the number of terms.
Therefore, the mean is equal to :
75 + 14 + 48 + 81 + 39 + 67 + 33 + 19 / 8 [Take terms that add up to 100, makes it easier to calculate!]100 + 100 + 89 + 87 / 8200 + 176 / 8376/8Mean = 47f is inversely proportional to p. f = 8 when p = 9 a) Use the information above to write an equation for f in terms of p. b) What is the value of f when p 5? Give any decimal answers to 1 d.p.
Answers
Answer:
a. f = 72/p
b. 14.4
Step-by-step explanation:
a. bringing in constant k,
f = k/p
cross multiplying
k = fp
k = 8×9
k = 72
the formula for f;
f = 72/p
b. Using the formula for f
f = 72/p
f = 72/5
f = 14.4
Find the volume of a prism with base area 32 cm2 and height 1.5 cm.
Answers
Answer: 48
Step-by-step explanation:
Data can be classified as categorical or
numerical. Which question would be classified as
numerical?
A. Which grade are you in?
B. What is your zip code?
C. Who is your favorite artist?
D. How many texts did you send this week?
Answers
Answer:
D
Step-by-step explanation: