Answers
First, find the area of the circle.
A=(pi)*r^2
A=3.14*10^2
A=3.14*100
A=314
Next, find the area of the square
A=l*w
A=20*20
A=400
Finally, subtract the area of the circle from the area of the square
400 - 314 = 86
Step-by-step explanation:
it is the area of the square minus 4 quarter circles (which means 1 full circle) with radius of 10 ft (the half of a side of the square).
we know how to calculate the area of a square "As"
As = side²
we know how to calculate the area of a circle "Ac"
Ac = pi×radius²
so, the shaded area "Ashade"
Ashade = side² - pi×radius² = 20² - pi×10² =
= 400 - pi×100 = 85.84073464... ft²
I don't know, if you need to round the answer in some way.
if it is to e.g. 2 digits after the decimal point (hundredths), then it would be
85.84 ft²
Related Questions
what is the slope that connects the two points ( -1,-2) and (4,4)
8th grade math.
Answers
Answer:
6/5
Step-by-step explanation:
rise/run
I hope this is right! :D
Answer:
The slope would be 6/5
Help me with this question please this is due today
Answers
Perimeter = 24
Side lengths = 6
y = 2x + 12
Anyone able to help me with this???? Need it ASAP!! Please and thank youuu
Answers
Answer:
(4, -3)
Step-by-step explanation:
Rewrite equations:
x−2y=10;6x+3y=15
Step: Solvex−2y=10for x:
x−2y=10
x−2y+2y=10+2y(Add 2y to both sides)
x=2y+10
Step: Substitute2y+10forxin6x+3y=15:
6x+3y=15
6(2y+10)+3y=15
15y+60=15(Simplify both sides of the equation)
15y+60+−60=15+−60(Add -60 to both sides)
15y=−45
15y
15
=
−45
15
(Divide both sides by 15)
y=−3
Step: Substitute−3foryinx=2y+10:
x=2y+10
x=(2)(−3)+10
x=4(Simplify both sides of the equation)
Therefore answer: is
x=4 and y=−3
Hope it helps!
An article reports "attendance dropped 2% this year, to 3750." What was the attendance before the drop?
Answers
Answer:
7,500 was the attendance before the drop.
Step-by-step explanation:
3750 x 2
But the initial answer is 75.
The other two are just possibilities.
Quincy uses 2 cups of vinegar in his salad dressing recipe. How much vinegar would Quincy use to make 1/2 of a recipe?
Answers
Surface Area of Cylinder=2πrh+2πr2
Where r is the radius of the cylinder and h is the height of the cylinder.
Find the surface area when r is 8 inches and h is 8 inches.
A. 160π in²
B. 154π in²
C. 288π in²
D. 256π in²
Answers
Answer:
D. [tex]256\pi\ in^2[/tex]
Step-by-step explanation:
To do this, we need to plug in the given values into the equation:
[tex]SA=2\pi rh+2\pi r^2\\SA = 2\pi 8(8)+2\pi 8^2\\SA=2\pi 64+2\pi 64\\SA=128\pi + 128\pi\\SA=256\pi \ in^2[/tex]
Solve the inequality
Answers
Answer:
[tex]x\leq 6[/tex]
Step-by-step explanation:
[tex]\frac{3x}{2} \leq 9[/tex]
multiply by 2 to cancel
[tex]3x\leq 18[/tex]
Divide by 3:
[tex]x\leq 6[/tex]
Hope this helps
Is 5x+2 equivalent to 5x+2x ?
Answers
Answer:
I don't think so
Step-by-step explanation:
If I remember (based on memory) it's not equivalent
Reasoning: there's a different amount of Xs
Answer:
Please answer my question if you can, and gl understanding this! <3
Step-by-step explanation:
No, for if we subtract them, when we cancel out the 5x, 2, the integer, will not be equal to 2x, for not only is 2 already there, it is also being multipled by an integer. It possibly can equal though, if x was either 0, or positive 1, but if the x is not given, then no, they're not equivalent.
A rectangular box is 1m long and 75 cm high. if the volume of the box is 375000cm³,find the width of the box
Answers
Answer:
width = 50 cm
Step-by-step explanation:
The volume (V) of a rectangular box is calculated as
V = lwh ( l is length, w is width and h is height )
Since V is given in cm³ then dimensions must be in cm
l = 1 m = 100 cm , then
100 × w × 75 = 375000
7500w = 375000 ( divide both sides by 7500 )
w = 50
the width of the box is 50 cm
Please help me I really need help ?
Answers
Answer:
1. 1/5 1/3 4/6
2. 3/5 3/4 7/8
3. 87 nickels
4. 150 minutes
5. 2
6. 3/4
Step-by-step explanation:
1. least to greatest: 1/5 1/3 4/6
2. least to greatest: 3/5 3/4 7/8
3. 1 nickel = 5 cents
So 485 ÷ 5 = 87 nickels
4. Total number of minutes = 50 x 2 = 150 minutes
5. A composite number is a whole number that can be made by multiplying other whole numbers.
3 x 3 = 9 ⇒ composite number
3 x 5 = 15 ⇒ composite number
3 x 7 = 21 ⇒ composite number
Therefore 2 is NOT a composite number (it is a prime number)
6. 6/8 = 3/4
Mario has gross biweekly earnings of $784. 21. By claiming 1 more withholding allowance, Mario would have $13 more in his take home pay. How many withholding allowances does Mario currently claim? a. 3 b. 4 c. 5 d. 6 Please select the best answer from the choices provided A B C D.
Answers
The number of withholding allowances which Mario currently claim for her gross biweekly earnings of $784. 21 is 4.
What is federal income tax?Federal income tax is the tax which is used to develop and run the city or country and charged on the citizen residing there .
Mario has gross biweekly earnings of $784.21. By claiming 1 more withholding allowance, Mario would have $13 more in his take home pay.
The value $784.21 lies between $780 and $800. Here, in the problem, the Mario can claim $13 more in his take home pay.
Form, the table of Federal income tax, the calculated amount will be,
[tex]n=20-7\\n=13[/tex]
Now, again from the table, Mario still claim 4 withholding allowances currently.
The number of withholding allowances which Mario currently claim for her gross biweekly earnings of $784. 21 is 4.
Learn more about the federal income tax here;
https://brainly.com/question/25504589
A spinner is shown.
Red
Violet
Orange
Indigo
Yellow
Blue
Green
The spinner arrow is spun 150 times
Ahout how many times will the spinner arrow stop on Blue or Green?
Answers
Answer:
43
Step-by-step explanation:
Total number of different colors = 7
Probability of spinner landing on blue = 1/7
Probability of spinner landing on green = 1/7
Probability of spinner landing on blue OR green = 1/7 + 1/7 = 2/7
if the spinner is spun 150 times,
Number of times spinner will land on green or blue = Probability of spinner landing on blue OR green x 150
= 2/7 x 150
= 42.85714...
= 43 (rounded to the nearest whole number)
Answer:
Approximately 43 timesStep-by-step explanation:
Number of sections is 7
Probability of each section is 1/7
Probability of blue or green:
P(blue or green) = 2*1/7 = 2/7Spinner nun 150 times, number of stops on blue or green:
N = 2/7*150 = 42.86 ≈ 43 (rounded up)HELP ASSAAPPP
The first term of a geometric sequence is 3, and the common ratio is 3.
What is the 7th term of the sequence?
Answers
it is right just took it
Can you figure out what the answer is here?
Answers
Answer:
Triangle = 10
Circle = 5
Two halves of Square = 2
Fourth answer: 20
Step-by-step explanation:
Figuring out the triangle first is easiest because since 3 triangles make 30, then each triangle must be 10.
Now, we have our second equation become 10 + C + C = 20, and we get C=5 after solving for the value of the circle.
Our third equation will be 5 + S + S = 13, which becomes 5+2S=13, 2S=8, and then S=4, so the value of a square is 4
Our fourth equation will be 10 + 5*(1/2)(4) = ?, and we see that half of 4 is 2, so we have 10 + 5(2) = 10 + 10 = 20 as our answer.
The value of the given expression x + yz will be 20.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Let 'x' represents an equilateral triangle, 'y' represent a circle, and 'z' represents the right triangle. Then the equations are given as,
x + x + x = 30
3x = 30
x = 10
x + y + y = 20
10 + 2y = 20
y = 5
y + 2z + 2z = 13
5 + 4z = 13
z = 2
Then the value of the expression is calculated as,
x + yz = 10 + 5 × 2
x + yz = 10 + 10
x + yz = 20
The value of the given expression x + yz will be 20.
More about the solution of the equation link is given below.
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Given cos0=3/4 and angle 0 is in Quadrant I, what is the exact value of sin 0 in
simplest form? Simplify all radicals if needed.
Answers
Answer:
sinθ=√7/4
Step-by-step explanation:
Here,
cosθ=3/4
b/h=3/4
b=3 and h=4
Using Pythagoras theorem,
h²=p²+b²
4²=p²+3²
16-9=p²
p=√7
Now,
sinθ=√7/4
Ryan works at the car wash making $5. 30 per hour plus tips. Last week Ryan worked 32 hours and earned $403. How much in tips did Ryan make last week? a. $86. 40 b. $148. 00 c. $169. 60 d. $233. 40 Please select the best answer from the choices provided A B C D.
Answers
Answer:
d. $233.40
Step-by-step explanation:
you solve this by first multiplying Ryan's hourly rate($5.30) by how many hours he worked last week(32 hours)
5.30*32=169.6
then you take that number and subtract it from how much he earned($403) and the resulting number will be what he made in tips
403-169.9=233.40
Answer:
d. $233.40
Step-by-step explanation:
pay for 32 hours
= $5.30 × 32
= $169.60
tips = $403 - $169.60
= $233.40
Express $18\sqrt 8$ in the form $a\sqrt b$, where $a$ and $b$ are integers and $b$ is as small as possible.
Answers
By simplifying the given expression we will get that:
18*√8 = 36*√2
How to find an equivalent expression?
Here we start with:
18*√8
We can rewrite 18 as:
18 = √324
Replacing that in our expression we get:
√324*√8 = √(324*8) = √(2,592)
Now we need to rewrite 2,592 as the product of a square number and a non-square number (such that the non-square number is the smallest possible one).
If we divide 2,592 by 2, we get:
2592/2 = 1296
Then we can rewrite:
√2592 = √(2*1296) = √2*√1296 = √2*36
So this is the expression we wanted:
18*√8 = 36*√2
If you want to learn more about square roots, you can read:
https://brainly.com/question/8952483
Answer:
[tex]36\sqrt{2}[/tex]
Step-by-step explanation:
The largest square factor under the radical is 4. This gives us the factorization [tex]\sqrt{8} =\sqrt{4} * \sqrt{2}[/tex].
Thus,
[tex]18\sqrt{8} = 18(\sqrt{4} * \sqrt{2})[/tex]
[tex]= 18*2\sqrt{2}[/tex]
[tex]= 36\sqrt{2}[/tex]
Hope this helps!
write 8029.85 in scientific notation
Answers
(PLEASE HELP!) (IM GIVING GOOD POINTS!)
Yutto is writing a paper, and he notices he can write 1.25 pages every 2 hours. He estimates he can finish the six-page paper in 6 hours.
Is his estimate reasonable, why or why not?
No, he incorrectly rounded 1.25 to 2.No, he incorrectly rounded 1 point 2 5 to
No, he incorrectly rounded 6 to 6.5.No, he incorrectly rounded 6 to
Yes, he correctly rounded 1.25 to 2.Yes, he correctly rounded 1 point 2 5 to
Yes, he found the exact time.
Answers
Answer:
No, he incorrectly rounded 1.25 to 2
Step-by-step explanation:
hope this helps :)
Answer:
No, he incorrectly rounded 1.25 to 2
Step-by-step explanation:
To find out how many pages Yutto writes in 1 hour we divide
1.25/2=0.625
Now we multiply
0.625×6=3.75
3.75≠6
So now we know that Yutto was incorrect so we can eliminate the last two options. Now how did he get his original estimate? For option A,
1.25 is rounded to 2
2/2=1
1×6=6
So the answer is A
The two triangles below are similar. What is the perimeter of triangle XYZ?
Answers
Answer:
24 units
Step-by-step explanation:
create a proportion:
15/20 = 6/XY
cross-multiply:
15·XY = 120
XY = 8
15/25 = 6/YZ
cross-multiply:
15·YZ = 150
YZ = 10
Perimeter:
6 + 8 + 10 = 24
If a plane can travel 480 miles per hour with the wind and 420 miles per hour against the wind, find the speed of the wind and the speed of the plane in still air.
Answers
a. The speed of the wind is 30 mph
b. The speed of the plane in still air is 450 mph
Let
V = speed of plane in still air and v = speed of wind.The required equationsSince the plane can travel 480 miles per hour with the wind, we have that
V + v = 480 (1)
Also, the plane travels 420 miles per hour against the wind, we have that
V - v = 420 (2)
a. Speed of the windThe speed of the wind is 30 mph
subtracting equations (1) and (2), we have
V + v = 480 (1)
-
V - v = 420 (2)
2v = 60
v = 60/2
v = 30 mph
So, the speed of the wind is 30 mph
b. Speed of the plane in still air
The speed of the plane in still air is 450 mph
Substituting v into equation (1), we have
V + v = 480 (1)
V + 30 = 480
V = 480 - 30
V = 450 mph
So, the speed of the plane in still air is 450 mph
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Help me please????????
Answers
B=5mm
C=12mm
D=13mm
SA=150mm
2 triangles: 5(12)/2=30
rectangle 1: 5(3)= 15
rectangle 2: 3(12)=36
rectangle 3: 3(13)=39
SA= 30+30+15+36+39
SA=150
hello can someone help me with this factoring problem? thank you!
Answers
A farmer owns a total of 19 ducks and horses.
The ducks and horses have 64 legs altogether.
How many horses are there?
Answers
Answer:
6 ducks and 13 horses
Step-by-step explanation:
x ducks
19-x horses
2x+4(19-x)=64
2x+76-4x=64
4x-2x=76-64
2x=12
x=6 ducks
19-x = horses
19-6=13 horses
6 ducks and 13 horses
Please help solve this 6r-r+4
Answers
Answer:
5r+4
Step-by-step explanation:
Let's simplify step-by-step.
6r−r+4
=6r+−r+4
Combine Like Terms:
=6r+−r+4
=(6r+−r)+(4)
=5r+4
Write a word problem that must be solved with division and includes 2/7 as the dividend and 4 as the divisor.
Answers
The word problem that must be solved with division and includes 2/7 as the dividend and 4 as the divisor is that John wants to buy a 4 yards cloth qnd there are pieces of 2/7 yards each. How many pieces will he buy?
How to calculate the value?In this case, it should be noted that division is used.to separate into different parts.
Therefore, John wants to buy a 4 yards cloth qnd there are pieces of 2/7 yards each.
The pieces to be bought will be:
= 4 ÷ 2/7
= 4 × 7/2
= 14
He'll buy 14 pieces.
Learn more about division on:
brainly.com/question/28119824
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What is the slope of the line that passes through the points (1, -7) and (-2,-7)? Write your answer in simplest form.
Answers
Answer:
0
Step-by-step explanation:
its a straight line horizontally
What is the measure of angle 1?
Answers
Answer:
88
Step-by-step explanation:
92 and angle 2 are corresponding and 180-92= 88
please can you help me on this mathswacth question?
Answers
Answer:
84 cm
Step-by-step explanation:
the area of a parallelogram is the how tall is it times it by the how long the base
(H x B)
the answer is 84 cm
The area of a rectangle is 168 cm^2. The rectangle has a perimeter of 52 cm. What are the dimensions of the quadrilateral?
Answers
Answer:
12 cm by 14 cm
Step-by-step explanation:
The area is given by ...
A = LW
The perimeter is given by ...
P = 2(L +W)
Substituting the given values, we have ...
168 = LW
52 = 2(L +W)
The second equation can be used to find an expression for L:
26 = L +W . . . . . divide by 2
L = 26 -W . . . . . subtract W
Using this in the first equation, we have ...
168 = (26 -W)(W)
W² -26W +168 = 0
Factors of 168 are ...
168 = (-1)(-168) = (-2)(-84) = (-3)(-56) = (-4)(-42) = (-6)(-28) = (-7)(-24)
= (-8)(-21) = (-12)(-14)
Only the last factor pair (-12, -14) has a sum of -26, so the equation factors as ...
(W -12)(W -14) = 0
Solutions are W=12, and W=14. The corresponding values of L are 14 and 12.
The quadrilateral has dimensions of 12 cm and 14 cm.