Paul cut a rectangular piece of paper. He then cut off a semi-circular piece from each end, as shown below. What is the area of the remaining paper? Use 3.14 for
Answers
Step-by-step explanation:
Area of remaining paper
= Area of rectangle - 2 * Area of semicircle
= Area of rectange - Area of circle
= (4in * 8in) - (π * 2in * 2in)
= 32in² - 4πin²
= 19.44in². (A)
Related Questions
CL 3-115. Jermaine has a triangle with sides 8, 14, and 20. Sadio and Aisha both think that they have triangles that are similar to Jermaine's triangle. The sides of Sadie's
triangle are 2, 3.5, and 5. The sides of Aisha's triangle are 4, 10, and 16. Decide who, if anyone, has a triangle similar to Jermaine's triangle. Be sure to explain how
you know
pening
1
CL 3-116. For the points R(-2, 7) and P(2,1) determine each of the following:
Answers
9514 1404 393
Answer:
Jermaine and Sadie have similar triangles. Aisha's is not similar.
Step-by-step explanation:
The side lengths can be arranged smallest-to-largest and reduced to mutually-prime integers. If the triangles are similar, their side ratios will be the same.
Jermaine's triangle has side ratios ...
8 : 14 : 20 = 4 : 7 : 10
Sadie's triangle has side ratios ...
2 : 3.5 : 5 = 4 : 7 : 10 . . . . (same as Jermaine's)
Aisha's triangle has side ratios ...
4 : 10 : 16 = 2 : 5 : 8 . . . . . (different from Jermaine's)
Sadie and Jermaine have similar triangles.
If angle A =90 degree , b=1 cm and a =2 cm then solve the following right angled triangle ABC
Answers
Answer:
Angle A = 90 degrees, side a = 2.Angle B = 30 degrees, side b = 1.Angle C = 60 degrees, side c = [tex]\sqrt{3}[/tex].Side c:
If angle A is 90 degrees, side a is the hypotenuse.[tex]c^{2} + b^{2} = a^{2}[/tex] <--- this is NOT the correct way to write the Pythagorean theorem. I changed it to fit the side lengths. Normally, it is [tex]a^{2} + b^{2} = c^{2}[/tex], where c is the hypotenuse. Since a is the hypotenuse, I switched the variables.[tex]c^{2} + (1)^{2} = (2)^{2}[/tex] [tex]c^{2} + 1 = 4[/tex] [tex]c^{2} = 3[/tex][tex]c = \sqrt{3}[/tex]Finding the angles:
In a 30-60-90 right triangle, the...Shortest leg = xLongest leg = [tex]x\sqrt{3}[/tex] Hypotenuse = 2x In this case, the shortest leg is 1, the longer leg is [tex]\sqrt{3}[/tex] (or [tex]1*\sqrt{3}[/tex]), and the hypotenuse is 2 (or [tex]2*1[/tex]).As a result, this is a 30-60-90 triangle -- angle B is 30 degrees while angle C is 60 degrees.–15 = a/5
A. a = –3
B. a = –20
C. a = –10
D. a = –75
Answers
Answer: a = -75
Step-by-step explanation:
i just multiplied both sides by 5, in order to get "a" by itself.
-75 = a
then, just for kicks, we switch it around so that the variable is in front.
a = -75
Write an Equation using the following arithmetic sequence: 5, _____, ______, 32
Answers
Answer:
The sequence is:
5, 14, 23, 32
Step-by-step explanation:
We know that an Arithmetic sequence with a₁ and the commo difference 'd' has the nth term such as:
aₙ = a₁ + (n-1)d
Given the arithmetic sequence
5, _____, ______, 32
here:
a₁ = 5
n = 4
aₙ
so substituting a₁ = 5, n = 4 and aₙ = 32 in the nth term
aₙ = a₁ + (n-1)d
32 = 5 + (4-1)d
32 = 5 + 3d
3d = 32-5
3d = 27
divide both sides by 3
3d/3 = 27/3
d = 9
Therefore, the common difference: d = 9
Determining the 2nd term:
Using the formula
aₙ = a₁ + (n-1)d
substitute n = 2, a₁ = 5, d = 9
a₂ = 5 + (2-1)9
a₂ = 5 + 1(9)
a₂ = 5 + 9
a₂ = 14
Determining the 3rd term:
Using the formula
aₙ = a₁ + (n-1)d
substitute n = 3, a₁ = 5, d = 9
a₃ = 5 + (3-1)9
a₃ = 5 + 2(9)
a₃ = 5 + 18
a₃ = 23
Thus, the sequence becomes:
5, 14, 23, 32
In Toronto, Canada, one liter of gasoline costs. $0.74$. There are 3.8 liters in one gallon. How much does one gallon of gas cost in Toronto? Round your answer to he nearest hundredths.
Answers
Answer:
$2.81
Step-by-step explanation:
From the above question:
1 liter of gasoline = $0.74
There are 3.8 liters in one gallon.
Hence:
1 liter of gasoline = $0.74
3.8 liters of gasoline = x
Cross Multiply
x = 3.8 × $0.74
x = $2.812
Approximately to the nearest hundredth = $2.81
Therefore , the cost of one gallon of gas(3.8 liters) in Toronto is $2.81
Find the area of the rectangle with: l=3m50cm b=2m20cm
Answers
50cm= 0.5m
20cm= 0.2m
l=3+0.5= 3.5m
b=2+0.2= 2.2m
A=(3.5)(2.2)= 7.7m^2
Is this relation a function? justify your answer
Check image
A
B
C
D
Answers
Answer: No C
Step-by-step explanation:
The x values of the coordinates cannot repeat.
Using a straight line test, a straight line can be drawn vertically on the x axis point of 4.
What is the answer?? Please
Answers
9514 1404 393
Answer:
not similar
Step-by-step explanation:
"Triangle" DPS cannot exist. Sides DP and DS are not long enough.
__
Side ratios are not the same. In the top triangle, the length ratios are ...
14 : 16 : 19
In the bottom triangle, the length ratios are ...
7 : 8 : 19 (such a triangle cannot exist)
Since the ratios are not the same, the triangles are not similar.
list all 10 possible SRSs of size n = 2, calculate the proportion of females for each sample
Answers
Answer:
10
Step-by-step explanation:
since i helped can i have brainlst please that would be greatly apericated
we have a total of 10 choices,
while we need SRS of size 2 only,
We know that,
A combination helps us to determine the number of possible arrangements that can be made through a set of data provided where the order of the selection does not matter.
where,
n is the number of choices,
r is the number of selection.
All 10 possible SRSs of size n = 2, are:
1. Abigail & Bobby
2. Abigail & Carlos
3. Abigail & DeAnna
4. Abigail & Emily
5. Bobby & Carlos
6. Bobby & DeAnna
7. Bobby & Emily
8. Carlos & DeAnna
9. Carlos & Emily
10. DeAnna & Emily
To know more visit:
https://brainly.com/question/25351212
Select the expression that represents the distance between the numbers r and p
Answers
Answer:
Option B
Step-by-step explanation:
Let's understand this problem in a simpler way,
If two points P and R represent the numbers as,
P = 2 and R = - 4
Then distance between these points will be,
P - R = -4 - 2 Or R - P = 2 - (-4)
= -6 Or R - P = 6
= ±6
But the distances are always positive so 6 will be the answer.
That's why we represent the distances between two points as,
|P - R| (Absolute value of the difference)
Option B is the answer.
18. A figure is said to be regular if its sides are equal in length and angles are equal in
measure. What do you mean by a regular quadrilateral?
Answers
Answer:
If its 4 sides need to be equal and 4 angles need to be equal then it is a square.
Step-by-step explanation:
[tex]\huge\sf\fcolorbox{green}{pink}{Answer}[/tex]
Properties of regular quadrilateral :- All sides are equalAll angles are 90° ( equal)Square is only the regular quadrilateral
Prove algebraically that the recurring decimal 0.472 can be written as
17
36
Answers
Given:
The recurring decimal is [tex]0.47\overline{2}[/tex].
To prove:
Algebraically that the recurring decimal [tex]0.47\overline{2}[/tex] can be written as [tex]\dfrac{17}{36}[/tex].
Proof:
Let,
[tex]x=0.47\overline{2}[/tex]
[tex]x=0.472222...[/tex]
Multiply both sides by 100.
[tex]100x=47.2222...[/tex] ...(i)
Multiply both sides by 10.
[tex]1000x=472.2222...[/tex] ...(ii)
Subtract (i) from (ii).
[tex]1000x-100x=472.2222...-47.2222...[/tex]
[tex]900x=425[/tex]
Divide both sides by 900.
[tex]x=\dfrac{425}{900}[/tex]
[tex]x=\dfrac{17}{36}[/tex]
So, [tex]0.47\overline{2}=\dfrac{17}{36}[/tex].
Hence proved.
use the gcf and the distributive property to find the sum of 26 + 39
Answers
Answer:= 13
Step-by-step explanation:
The Barbers are keeping track of their family energy costs. It costs the Barber $0.16 per week to run their dishwasher. How much will it cost them to run their dishwasher for 52 weeks
Answers
Answer:
$8.32
Step-by-step explanation:
You just multiply 0.16 with 52
h(x) = –2 – 5 help pls!!!
Answers
Answer:
h(0)= -5
h(-2)= -7
Step-by-step explanation:
Answer:
-5
Step-by-step explanation:
x just represents a value, so simply plug 0 into the equation instead of x.
h(0)= -0 - 5
h(0) = -5
Matt has answered the questions on a test. What percentage of the test questions have 20/25 Matt answered?
Answers
Answer:
80% complete with the test
Step-by-step explanation:
what you would do is if he does 20 out of 25 questions you would think that 25 is 100 and you would see that 20 is 80% because of you doing 5,10,5,20,25 the 20 is the 4th one and 80 is the forth of 100 so the answer is 80%.
Hope this helps :)
. What number replaces ☺ to make the sentence true? 1 + 3 + 4 + 6 + 6 + 8 + 9 + 11 = 4 × ☺.
Answers
Answer:
12
Step-by-step explanation:
1+3+4+6+6+8+9+11=48. Knowing this, we can now figure out the other side of the equation. To make both equations true, both sides must equal 48.
To this, simply divide 48 by 4.
48/4=12
Thus, your answer is 12
Answer: 12
Step-by-step explanation:
1+3+4+6+6+8+9+11 is 48 (you can double check)
48=4*X (calling x as the smiley).
Divide 4 by each side.
12=X
Which expression is the same as (2a + b)3?
A. 893 +63
B. 8a3 + 4a2b + 2ab2 + b3
O C. 8a + 4a²b + 4ab2 + b3
O D. 8a+ 12a²b + 6ab2 + b3
PLSSS HURRY
Answers
Answer:
B 8a3+4a2b+2ab2+b3
Step-by-step explanation:
2PM 6is the
4. An angle is 50° more than its supplement. Find the angles.
Answers
Answer:
The angles measure [tex]65[/tex]° and [tex]115[/tex]°.
Step-by-step explanation:
Supplementary angles are a pair of angles whose measures add up to [tex]180[/tex]°. In this case, we know that one angle is [tex]50[/tex]° bigger than the other one, so if we let the measure of one angle be [tex]x[/tex], then the measure of the other angle will be [tex]x+50[/tex]. Therefore, we can write the following equation to solve for
[tex]x+x+50=180[/tex]
Solving for [tex]x[/tex], we get:
[tex]x+x+50=180[/tex]
[tex]2x+50=180[/tex] (Simplify LHS)
[tex]2x+50-50=180-50[/tex] (Subtract [tex]50[/tex] from both sides of the equation to isolate [tex]x[/tex])
[tex]2x=130[/tex] (Simplify)
[tex]\frac{2x}{2}=\frac{130}{2}[/tex] (Divide both sides of the equation by [tex]2[/tex] to get rid of [tex]x[/tex]'s coefficient)
[tex]x=65[/tex]
Therefore, [tex]x+50=65+50=115[/tex], so our final answer is that the angles measure [tex]65[/tex]° and [tex]115[/tex]°. Hope this helps!
help me pleaseee pleaseee
Answers
Answer:
x = 3
m<PAW = 1
Step-by-step explanation:
☆They are supplementary angles.
☆Supplementary angles equal 180 degrees.
[tex]- 11x + 17 3 - 1x + 43 = 180 \\ - 12x + 216 = 180 \\ \frac{ \: \: \: \: \: \: \: \: \: \: \: \: \: - 216 = - 216}{ \frac{ - 12x}{ - 12} = \frac{ - 36}{ - 12} } \\ x = 3[/tex]
☆Plug in for m<AEZ
[tex] - 1(3) + 4 \\ - 3 + 4 \\ 1[/tex]
☆m<PAW is corresponding to m<AEZ
☆Corresponding angles are congruent.
☆m<PAW equals 1.
Pls help taking finals
What is the value of w in the equation -W + 7 = 2w- 2?
Answers
Answer:
3
Step-by-Step explanation:
I just worked it out! Good luck :)
Rectangle ABCD is drawn on a grid with point A at (-3, 4), point B at (-1,4), point Cat (-1,-1) and point D at (-3,-1). If rectangle ABCD is reflected
over the line x = 2, what are the coordinates of the reflected rectangle A'B'C'D?
Options:
• A A75, 4). B'18. 4). C18.-1), D45.-1)
• B. A45.4), B (7,4), C(5.-1), D'(7.-1)
• C. A45, 4), B (7,4), C77, 1), D(5, 1)
• D. A(1,4). B(3,4), C13.-1). D'(1. -1)
Answers
Given:
The vertices of the rectangle ABCD are A(-3,4), B(-1,4), C(-1,-1) and D(-3,-1).
It is reflected over the line x=2.
To find:
The vertices of the image A'B'C'D'.
Solution:
If a figure is reflected over the line x=a, then
[tex](x,y)\to (-(x-a)+a,y)[/tex]
[tex](x,y)\to (-x+a+a,y)[/tex]
[tex](x,y)\to (-x+2a,y)[/tex]
The rectangle ABCD is reflected over the line x=2. So, the rule of reflection is
[tex](x,y)\to (-x+2(2),y)[/tex]
[tex](x,y)\to (-x+4,y)[/tex]
Using this rule, we get
[tex]A(-3,4)\to A'(-(-3)+4,4)[/tex]
[tex]A(-3,4)\to A'(3+4,4)[/tex]
[tex]A(-3,4)\to A'(7,4)[/tex]
Similarly,
[tex]B(-1,4)\to B'(5,4)[/tex]
[tex]C(-1,-1)\to C'(5,-1)[/tex]
[tex]D(-3,-1)\to D'(7,-1)[/tex]
The vertices of image are A'(7,4), B'(5,4), C'(5,-1) and D'(7,-1).
Note: All options are incorrect or not in proper format.
Solve |x – 4| + 6 = 17.
A. X= 15 and x = -15
B. x= -15 and x= 7
C. x = 15 and x= -7
D. x = -15 and x = -7
Answers
Answer:
[tex]\mathrm{C)\:}x=15,\:-7[/tex]
Step-by-step explanation:
For [tex]|a-b|=c[/tex], there are two possible cases:
[tex]\begin{cases}a-b=c\\a-b=-c\\\end{cases}[/tex]
Solving for both cases, we get:
[tex]\begin{cases}x-4+6=17, \:x+2=17, \: \fbox{$x=15$}\\-(x-4)+6=17,\: -x+10=17, \: -x=7, \:, \fbox{$x=-7$}\\\end{cases}[/tex]
Determine the number of zeros of the polynomial function f(x)= x^8-x^9
Answers
Step-by-step explanation:
Determine if odd, even, or neither.
The function is neither even nor odd
Answer:
9
Step-by-step explanation:
The highest power of x is 9: x^9
and therefore this polynomial will have 9 zeros.
help plz plz plz will mark brainliest
Answers
Step-by-step explanation:
We have Angle ZWD = Angle DWN.
=> 5v - 7 = 4v + 8, v = 15.
Therefore x = Angle ZWD = 5(15) - 7 = 68.
I NEED HELP PLEASE!! Does anyone understand this??
Answers
Answer: 44.4
Step-by-step explanation:
We are asked to find angle V, so we are going to use our trig ratios to explain this one. They have given us the side opposite of angle v and the hypotunse. angle v. so we are going to be using sine. . SOHCAHTOA.
First, let use the ratio for sine [tex]\frac{opp}{hypo\\}[/tex] which equal to [tex]\frac{7}{10}[/tex]
then we are to take the arcsine or the sine inverse because we are trying to the angle measure not side length. ([tex]sin^{-1}[/tex](7/10) which gives us 44.4
Which numbers below represents a repeating decimal? Check all the boxes that apply.*
-2/3
-3/5
3/10
11/20
Answers
Answer:
-2/3
Step-by-step explanation:
-2/3= -.066666667
-3/5= -0.6
3/10= 0.3
11/20= 0.55
According to records at the guidance office, the mean GPA of all juniors is 3.45 and the mean GPA of all seniors is 3.62. Which of the following statements is true?
A. 3.45 is a statistic and 3.62 is a statistic.
B. 3.45 is a statistic and 3.62 is a parameter.
C. 3.45 is a parameter and 3.62 is a statistic.
D.3.45 is a parameter and 3.62 is a parameter.
Answers
Answer:
d, they are both parameters because they mean allllll the juniors and seniors, not just pulling out a few and taking a sample
Step-by-step explanation:
Answer:
The answer is "D".
Step-by-step explanation:
3.45 is a parameter and 3.62 is a parameter.
Just need help 1-3 because it’s not easy
Answers
2 No
3 No
Hope this helps
FIRST ONE TO GIVE ME A CORRECT ANSWER GETS BRAINLIEST
Answers
Answer:
y-4=5
add 4 on both sides
you get y = 9
replace y with 9
9 - 4 = 5
final answe is 5=5