Answer:
[tex]\huge \boxed{\mathrm{99.98 \ cm}}[/tex]
Step-by-step explanation:
A quadrant is quarter of a circle.
The perimeter of a quarter of a circle is [tex]\frac{2\pi r}{4} +2r[/tex].
The radius [tex]r[/tex] is 28 cm.
[tex]\frac{2\pi (28)}{4} +2(28)= 99.982297...[/tex]
The perimeter of the quadrant with radius 28 cm is approximately 99.98 cm.
Answer:
[tex]\huge\boxed{Perimeter = 99.98\ cm}[/tex]
Step-by-step explanation:
Quadrant is one - fourth of a circle
Perimeter of quadrant = [tex]\frac{2\pi r }{4} + 2r[/tex]
Where r = 28 cm
=> P = [tex]\frac{2(3.14)(28)}{4} + 2(28)[/tex]
=> P = [tex](3.14)(14) + 56[/tex]
=> P = [tex]43.98 + 56[/tex]
=> P = 99.98 cm
A picture has an area of 35cm and is 7cm long.An enlargement of the picture is made which is 21cm long.Find the area of the enlargement
Answer:
315 cm²
Step-by-step explanation:
Given the scale factor of 2 similar figures is a : b , then
ratio of areas = a² : b²
Here the scale factor = 7 : 21 = 1 : 3 , thus
ratio of areas = 1² : 3² = 1 : 9
That is the area of the enlargement is 9 times the original, so
area of enlargement = 35 × 9 = 315 cm²
Answer:
increase by a factor of 3
Step-by-step explanation:
First you have to find the width,
35/7=5cm
Since the length had been increased to 21cm, we need to find the larger area,
21*5=105cm^2
now we just need to find how much has the area increased compare to the original area,
105/35=3
What are the coordinates of the point 3/4 of the way from A to B. I need this ASAP pls
Answer:
The coordinates of the point at 3/4 of the distance from A to B from A is (-3.5, 1.25)
Step-by-step explanation:
The coordinates of the point A is (-5, -4),
The coordinates of the point B is (-3, 3)
Let the point 3/4 from A to B = P
The coordinates of the point 3/4 from A to B is found as follows;
(-5 + (3/4×(-3 - (-5)), -4 + 3/4×(3 - (-4)) which gives;
The coordinates of the point 3/4 from A to B as P(-3.5, 1.25)
We verify the length from A to B and from A to P as follows;
The distance l between two points (x₁, y₁) and (x₂, y₂) is given by the formula;
[tex]\sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
For AB, we have;
[tex]Length \ of \ segment \ \overline {AB} = \sqrt{\left (3-(-4) \right )^{2}+\left ((-3)-(-5) \right )^{2}}=\sqrt{53} \approx 7.28[/tex]
[tex]Length \ of \ segment \ \overline {AP} = \sqrt{\left (1.25-(-4) \right )^{2}+\left ((-3.5)-(-5) \right )^{2}}= \dfrac{3}{4} \cdot \sqrt{53}[/tex]
Therefore, the point P (-3.5, 1.25) is the point 3/4 distance of A to B from A.
Identifying the distance and applying the fraction, it is found that the coordinates are (-3.5, 1.25).
------------
Point A has horizontal coordinate -5 and vertical coordinate -4, thus, it's coordinates are A(x,y) = A(-5,-4).Point B has horizontal coordinate -3 and vertical coordinate 3, thus, it's coordinates are B(-3,3).------------
At the x-coordinate, the distance from B to A is of [tex]-3 - (-5) = -3 + 5 = 2[/tex] units.Starting at point A, 3/4 of the way will have a x-coordinate of:[tex]x = -5 + 2\frac{3}{4} = -5 + \frac{6}{4} = -\frac{20}{4} + \frac{6}{4} = -\frac{14}{4} = -\frac{7}{2} = -3.5[/tex]
At the y-coordinate, the distance from B to A is of [tex]3 - (-4) = 3 + 4 = 7[/tex] units.Starting at point A, 3/4 of the way will have a y-coordinate of:[tex]y = -4 + 7\frac{3}{4} = -4 + \frac{21}{4} = -\frac{16}{4} + \frac{21}{4} = \frac{5}{4} = 1.25[/tex]
The coordinates are (-3.5, 1.25).
A similar problem is given at https://brainly.com/question/24647154
Subtract (3 + 2i) from (-9-81)
0 -17 – 51
0-6 – 67
0 -12 – 101
0 12 + 101
Answer:
-12 - 10i.
Step-by-step explanation:
-9 - 8i - (3 + 2i)
= -9 - 8i - 3 - 2i
= -12 - 10i.
20:37
Ahmed is riding the elevator in a building. The building has floors above and below ground level. Ahmed uses the
expression below to describe his movement.
6+(-8)
Which statement could describe Ahmed's movement?
Ahmed started 6 floors above ground level, then he went down 8 tidors.
Ahmed started 6 floors above ground level, then he went up 8 floors.
Ahmed started 6 floors below ground level, then he went up 8 floors.
Ahmed started 6 floors below ground level, then he went down 8 floors.
Save and Exit
Answer: Choice A
Ahmed started 6 floors above ground level, then he went down 8 floors
The +6 or simply 6, is positive, so he's on the 6th floor to start. Then adding on -8, which is the same as subtracting 8, moves him down 8 floors.
6 + (-8) = 6 - 8 = -2 indicates he's 2 floors below ground level, so he's in basement level 2 (perhaps some kind of parking garage).
Answer:
the answer is A.
Step-by-step explanation:
got it right on edg
and good luck on exams, dont forget to study l o l
The letters of the word COMPLEMENT are written on cards and shuffled. Find the probability that the card chosen does not have the letter M written on it.
Answer: the probability would be 1:5
Step-by-step explanation: since there are 2 m you would put that on top and divide it by all the others and there are 10 of them and then simplifie it and get the answer
Answer:
P ( not M)= 4/5
Step-by-step explanation:
We want to find the probability that if a card is chosen, it does not have the letter M on it.
The probability can be found by creating a fraction with the number of cards that do not have M over the total number of cards.
P (not M) = cards without M / total cards
The word complement has 10 letters, therefore there is a total of 10 cards.
P (not M) = cards without M/ 10
There are 2 cards with an M. That will leave 8 cards without an M. (10 total cards - 2 cards with M= 8 cards without M).
P (not M)= 8/10
This fraction can be simplified. Both the numerator (top number) and denominator (bottom number) can be divided by 2.
P (not M)= (8/2) / (10/2)
P (not M)= 4/ (10/2)
P (not M) = 4/5
The probability of choosing a card without the letter M on it is 4/5
Tamara invested $15,000 in an account that pays 4% annual simple interest. Tamara will not make any additional deposits or withdrawals. How much interest will Tamara earn on her investment at the end of 3 years?
Answer:
$1,800
Step-by-step explanation:
We know that Tamara invested $15,000 and gets %4 of it each year, She plans to withdraw all the money by the end of 3 years.
4 percent of 15,000 is 600
So we can multiply 600 by three and add it to the 15,000
That gives us 16,800
So Tamara will make a $1,800 interest
To factor the quadratic expression x^2−8x−10 by completing the square, what value would be added? A. 64 B. 8 C. 16 D.-16
Answer:
C
Step-by-step explanation:
When completing the square, we essentially want to create a perfect square trinomial by adding a constant.
If we have the following expression:
[tex]x^2+bx[/tex]
And we want to complete the square, we will need to divide the b-coefficient by half and then square it.
Thus, the added term should be:
[tex](b/2)^2[/tex]
In the given equation, we have:
[tex](x^2-8x)-10[/tex]
The b term here is 8. Therefore:
[tex](8/2)^2\\=(4)^2\\=16[/tex]
The value we would add would be 16.
The answer is C.
Further notes:
To complete the square, add 16 like mentioned earlier. However, we also need to subtract 16 to balance things out:
[tex](x^2-8x)-10\\=(x^2-8x+16)-10-16\\[/tex]
The expression inside the parentheses is now a perfect square trinomial. Factor it:
[tex]=((x)^2-2(4)(x)+(4)^2)-26\\=(x-4)^2-26[/tex]
And we are done!
A quadratic function equation is as follows:
[tex]ax^{2} + bx + c[/tex]
To complete the square, move the constant (c) to the other side of the equation and take half of the b value, square it, and add and subtract the same number.
In this problem, you will add 16.
[tex] \frac{ - 8}{2} = - 4[/tex]
[tex] - 4^{2} = 16[/tex]
5f+3(−8f−9)≤ −8f−1−4
Answer:
f ≥ -2
Step-by-step explanation:
See steps below:
5f+3(−8f−9) ≤ −8f−1−4 ⇒ open the parenthesis5f - 24f - 27 ≤ - 8f -5 ⇒ simplify- 19f ≤ - 8f - 5 + 27 ⇒ add 27 to both sides-19f + 8f ≤ 22 ⇒ add 8f to both sides-11f ≤ 22f ≥ -22/11 ⇒ divide both sides by -11, dividing by negative changes the inequality sign to oppositef ≥ -2 ⇒ answerAnswer:
f [tex]\geq[/tex] -2
Step-by-step explanation:
5f + 3 (−8f − 9) ≤ −8f −1 −4
=5f -24f -27 ≤ -8f -1 -4
= -19f -27 ≤ -8f -5
=-11f ≤ 22
= f [tex]\geq[/tex] -2
What is the slope of line p? On a coordinate plane, a straight line goes through (negative 3, negative 2), (0, 0), and (3, 2). I NEED HELP FAST PLEASE, THANK YOU !!!!!
Answer:
slope = 2/3
Step-by-step explanation:
To find the slope you use this equation:
difference in y / difference in x
so let's take two points you have given
(3,2) and (0,0)
take the difference in y which is both y coordinates so
2-0 = 2
and take the difference in x which is both x coordinates so
3-0 = 3
2/3
The caterer charges $200 for the food and $10 per hour for service hours. How many hours did the caterer work if she was paid $270?
Answer:
27
Step-by-step explanation divided 10 and 270
I do not understand :(
Answer:
G'(-3, -2), E'(1, 1), W'(-3, 0)
Step-by-step explanation:
A point has coordinates (x, y).
A translation of h units to the right means add h to x.
A translation of h units to the left means subtract h from x.
A translation of k units up means add k to y.
A translation of k units down means subtract k from y.
The translation you need to do is 1 unit right and 2 units down.
That means add add 1 to x of each point. Subtract 2 from y of each point.
G(-4, 0) ----> G'(-4 + 1, 0 - 2) = G'(-3, -2)
E(0, 3) ----> E'(0 + 1, 3 - 2) = E'(1, 1)
W(-4, 2) ----> W'(-4 + 1, 2 - 2) = W'(-3, 0)
A dilation maps (6, 10) to (3,5). What are the coordinates of the image of (12, 4) under the same dilation?
Answer:
(6,2)
Step-by-step explanation:
Find the missing probability.
P(A)=720,P(A∩B)=49400,P(B)=?
P
(
A
)
=
7
20
,
P
(
A
∩
B
)
=
49
400
,
P
(
B
)
=
?
==========================================
Work Shown:
Given info
P(A) = 7/20
P(A∩B)=49/400
P(B) = unknown
--------------------
P(A∩B) = P(A)*P(B), assuming A and B are independent events
49/400 = (7/20)*P(B)
(7/20)*P(B) = 49/400
P(B) = (20/7)(49/400)
P(B) = (20*49)/(7*400)
P(B) = (20*7*7)/(7*20*20)
P(B) = 7/20
---------------------
Note how
P(A∩B) = P(A)*P(B)
P(A∩B) = (7/20)*(7/20)
P(A∩B) = (7*7)/(20*20)
P(A∩B) = 49/400
which helps to confirm the answer.
A researcher says to the respondents in a poll, “Eating too many sugary foods leads to cavities. Would you rather have soda or water served with your meal?” Is this a valid question to ask of sample respondents? A. Yes, the researcher is simply stating a fact: eating sugary foods does lead to cavities. It is okay for a researcher to state facts in asking questions of respondents. B. No, the wording of the question makes respondents more likely to say water, even if they may actually prefer soda at a meal. C. No, a researcher cannot ask people for preferences because they may not answer honestly. The researcher should observe people and record their beverage selections to insure accurate responses. D. Yes, the more information provided by a researcher the better. Respondents can now give an informed opinion and the results will be more accurate.
Answer:
. D. Yes, the more information provided by a researcher the better. Respondents can now give an informed opinion and the results will be more accurate.
Step-by-step explanation:
But again this could be an opinion answer as well
Hope this helps
If this seems incorrect anyway please just comment and I shall change my answer thanks very much :)
For each student in a certain class, a teacher adjusted the student's test score using the formula y = 0.8x + 20, where x is the student's original test score and y is the student's adjusted test score. If the standard deviation of the original test scores of the students in the class was 20, what was the standard deviation of the adjusted test scores of the students in the class?
The question is missing alternatives. The complete question is here.
For each student in a certain class, a teacher adjusted the student's test score using the formula y = 0.8x + 20, where x is the student's original test score and y is the student's adjusted test score. If the standard deviation of the original test scores of the students in the class was 20, what was the standard deviation of the adjusted test scores of the students in the class?
A. 12
B. 16
C. 28
D. 36
E. 40
Answer: B. 16
Step-by-step explanation: If you add a constant to each number at the data set, standard deviation doesn't change. However, multiplying each data in the data set by a constant, also multiplies the standard deviation by that constant.
That being said, the formulafor the adjusted test score is
y = 0.8x + 20
Adding 20 to each data doesn't change standard deviation but multiplying by 0.8 changes it.
So, the new standard deviation is
σ = 20*0.8 = 16
Standard Deviation for the adjusted test scores of the students is 16.
A square is divided into three congruent rectangles as shown at the right. Each of the three rectangles has a perimeter of 16 meters. How many meters are in the perimeter of the square?
Answer:
Perimeter of square = 24 meter
Step-by-step explanation:
Given:
Square divided into three equal rectangle
Perimeter of rectangle = 16 meter
Find:
Perimeter of square
Computation:
We know that rectangle are equal
So,
3b = l
Perimeter of rectangle = 2 (l + b)
16 = 2 (l + b)
16 = 2 (3b + b)
b = 2 meter
l = 3 (2) = 6 meter
Side of square = 6 meter
Perimeter of square = 4(side)
Perimeter of square = 4(6)
Perimeter of square = 24 meter
Solve for xxx. Your answer must be simplified. -12\leq44+x−12≤44+x
Answer:
x≥-56
Step-by-step explanation:
[tex]-12\le \:44+x\\44+x\ge \:-12\\\mathrm{Subtract\:}44\mathrm{\:from\:both\:sides}\\44+x-44\ge \:-12-44\\x\ge \:-56[/tex]
The function g(x) is graphed. On a coordinate plane, a curved line enters the plane at point (negative 2.3, 5), crosses the x- and y-axis at (0, 0), and leaves the plane at point (2.3, 5). Which statements about the function are true? Choose three options. g of 1 = negative 1 g of 0 = 0 g of 4 = negative 2 g of 1 = 1 g of negative 1 = 1
Answer:
c=(0,-9)
Step-by-step explanation:
A function g is said to be even if [tex]g(x) = g(-x)[/tex].
The statements about the function that are true, are:
[tex]g(1) = 1[/tex]
[tex]g(-1) = 1[/tex]
[tex]g(0) = 0[/tex]
From the question, we have the following points:
[tex](x_1,y_1) = (-2.3,5)[/tex]
[tex](x_2,y_2) = (0,0)[/tex]
[tex](x_3,y_3) = (2.3,5)[/tex]
We can assume that the function is an even function because the function satisfies the condition of an even function at:
[tex]g(-2.3) = g(2.3) = 5[/tex]
[tex](x_2,y_2) = (0,0)[/tex] means that:
[tex]g(0) = 0[/tex]
From the list of options:
[tex]g(1)= -1[/tex]
[tex]g(0) = 0[/tex]
[tex]g(4) = -2[/tex]
[tex]g(1) = 1[/tex]
[tex]g(-1) = 1[/tex]
The true options are:
[tex]g(1) = 1[/tex]
[tex]g(-1) = 1[/tex]
[tex]g(0) = 0[/tex]
They are true because:
[tex]g(0) = 0[/tex] represents point [tex](x_2,y_2) = (0,0)[/tex]
[tex]g(1) = 1[/tex] and [tex]g(-1) = 1[/tex] satisfy the condition of an even function [tex]g(1) = g(-1) = 1[/tex]
See attachment for the graph of the function.
Read more about even functions at:
https://brainly.com/question/12862201
For which system of inequalities is (3,-7) a solution? A. x + y < -4 3x + 2y < -5 B. x + y ≤ -4 3x + 2y < -5 C. x + y < -4 3x + 2y ≤ -5 D. x + y ≤ -4 3x + 2y ≤ -5
Answer:
D. x + y ≤ -4 3x + 2y ≤ -5Step-by-step explanation:
(3, -7) ⇒ x = 3, y = -7
x + y = 3 + (-7) = -4
3x + 2y = 3•3 + 2(-7) = 9 - 14 = -5
x + y < -4 3x + 2y < -5
A.
-4 < - 4 ← false -5 < -5 ← false
B.
-4 ≤ - 4 ← true -5 < -5 ← false
C.
-4 < - 4 ← false -5 ≤ -5 ← true
D.
-4 ≤ - 4 ← true -5 ≤ -5 ← true
Answer:
D.
x + y ≤ -4
3x + 2y ≤ -5
Step-by-step explanation:
it was right on plato
A boy is mowing a rectangular lawn 40ft long and 30ft wide. He has cut all of it except for a rectangle that is 20ft long and 15ft wide. What fractional part of the lawn remains uncut?
Answer:
1/4
Step-by-step explanation:
Find the area of the full rectangle:
=> 40 x 30 = 1200
Find the area of the uncut part:
=> 20 x 15
=> 300
Make these numbers as a fraction.
=> 300 / 1200
=> 3/12
=> 1/4
So, 1/4 part remains uncut.
The fractional part of the lawn remains uncut is 1/4
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
Given that A boy is mowing a rectangular lawn 40ft long and 30ft wide. He has cut all of it except for a rectangle that is 20ft long and 15ft wide.
To Find the area of the full rectangle:
40 x 30 = 1200
To Find the area of the uncut part:
= 20 x 15
= 300
Now Make these numbers as a fraction;
=> 300 / 1200
=> 3/12
=> 1/4
Therefore, 1/4 part remains uncut.
Hence, The fractional part of the lawn remains uncut is 1/4.
Learn more about the area;
https://brainly.com/question/1658516
#SPJ2
please help!! Thank you
Answer:
2. 3^2
Step-by-step explanation:
Use PEMDAS. First parenthesis, exponents (3^2), multiplication, division, addition, and subtraction.
The answer is 2 because you do the exponents in the parenthesis first.
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Simplify and leave in radical form.
Answer:
4√(xy³)
Step-by-step explanation:
8√(x²y⁶)
The above expression can be simplified as follow:
8√(x²y⁶)
Recall:
m√a = a^1/m
Therefore,
8√(x²y⁶) = (x²y⁶)^1/8
Recall:
(aⁿ)^1/m = a^(n/m)
Therefore,
(x²y⁶)^1/8 = x^(2/8)•y^(6/8)
= x^1/4•y^3/4
= (xy³)^1/4
Recall :
a^1/m = m√a
Therefore,
(xy³)^1/4 = 4√(xy³)
Therefore,
8√(x²y⁶) = 4√(xy³)
Step-by-step explanation:
Solve 7x + 6 < 3(x - 2).
Answer:
x< -3Step-by-step explanation:
[tex]7x+6<3\left(x-2\right)\\\\\mathrm{Expand\:}3\left(x-2\right):\quad 3x-6\\\\7x+6<3x-6\\\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\\\7x+6-6<3x-6-6\\\\Simplify\\\\7x<3x-12\\\\\mathrm{Subtract\:}3x\mathrm{\:from\:both\:sides}\\\\7x-3x<3x-12-3x\\\\\mathrm{Simplify}\\\\4x<-12\\\\\mathrm{Divide\:both\:sides\:by\:}4\\\\\frac{4x}{4}<\frac{-12}{4}\\\\x<-3[/tex]
A researcher conducted a survey to 50 respondents about what they like among the three online games, namely the mobile legends, the clash of clans, and the player's unknown battlegrounds (PUBG) out of 50 respondents, 15 people chose PUBG, 30 chose mobile legends and 20 chose clash of clans, How many Respondents chose all 3 online games?
Answer:
15 Respondents
Step-by-step explanation:
Total number of respondents = n (PUBG ∪ M ∪ C) = 50
PUBG = n(PUBG ) = 15 people
Mobile legends = n(M) = 30 people
Clash of clans = n(C) = 20 people
n ( PUBG ∩ M) = Unknown
Step 1
The first step is to find the number of respondents that chose two or the games
a) Number of respondents that chose Mobile legends and PUBG =
n ( M ∩ PUBG)
30 - x = 15 - x + x
30 - 15 = x + x - x
15 = x
b) a) Number of respondents that chose Mobile legends and Clash of clans =
n ( M ∩ C)
n ( M ∩ C) = y
30 - y = 20 - y + y
30 - 20 = y + y - y
10 = y
c) Number of respondents that chose PUBG and Clash of clans =
n ( C ∩ PUBG) = z
20 - z = 15 - z + z
20 - 15 = z + z - z
5 = z
Step 2
How many Respondents chose all 3 online games
= n ( PUBG ∩ M)
n (PUBG ∪ M ∪ C) = n(PUB ) + n ( M ) + n (C) – n ( M ∩ PUBG) – n ( C ∩ PUBG) – n ( M ∩ C) + n (PUBG ∩ M ∩ C)
50 = 30 + 20 + 15 - 15 - 5 - 10 + n (PUBG ∩ M ∩ C)
50 = 65 - 30 + n (PUBG ∩ M ∩ C)
50 = 35 + n (PUBG ∩ M ∩ C)
50 - 35 = n (PUBG ∩ M ∩ C)
n (PUBG ∩ M ∩ C) = 15
Therefore, the number of Respondents chose all 3 online games = 15
Answer:
15
Step-by-step explanation:
Which inequality will have a shaded area below the boundary line?
A. y-x>5
B.2x-3y<3
C. 2x-3y
D.7x + 2y <2
E.3x + 4y> 12
Answer:
7x+2y<2 will have a shaded area below the boundary line
Solve 6x - 12y = 18 for X.
A. x = 12y + 18
B. X = 2y + 18
O c. x = 2y + 3
D. x = 12y + 3
Answer:
C.
Step-by-step explanation:
6x-12y=18
6x=18+12y
Divide through by 6
X=3+2y
X=2y+3
Answer:
C
Step-by-step explanation:
6x-12y=18 x=2y+3 this is correct
Points D and E are aligned with a ruler. Point D is at the mark for 4.5 cm, and the distance between points D and Eis 3.4 cm. At which two marks on the ruler could point E be located? 0 cm or 3.4 cm 0 -3.4 cm or 0 cm 1.1 cm or 7.9 cm 0 -7.9 cm or 1.1 cm
Answer:
1.1 cm or 7.9 cm
Step-by-step explanation:
Given:
Point D mark for 4.5 cm
Distance between points D and E =3.4 cm
Find:
Location of point E
Computation:
Assume;
Point o = 0 cm mark
Point E = Point D mark - Distance between points D and E
Point E = 4.5 cm - 3.4 cm
Point E = 1.1 cm
or
Point E = Point D mark + Distance between points D and E
Point E = 4.5 cm + 3.4 cm
Point E = 7.9 cm
1. where does the parentheses go in 8+9÷3×6-5 to get a total of 11
2. where does the parentheses go in 5+3-8÷4-2 to get 4
3. where does the parentheses go in 7×5-10+6÷8
Answer:
1. 8+9÷3x(6-5)=11
2. 5+3-(8÷4)=4
Step-by-step explanation:
67.4005 to nearest thousands
Assuming you misspelled thousandths:
Answer:
67.401
Step-by-step explanation:
0.000 <- this is the thousandths place
5 is greater than or equal to 5, which means you round up.
0+1 = 1.
i just need the answer really
Step-by-step explanation:
In my opinion Option A is the correct answer because
Product of 3 and x = 3x
7.5 more than that = 3x + 7.5
Answer:
the answer is option A
Step-by-step explanation:
product of 3 and x = 3x
7.5 more than the product of 3 and x = 3x+7.5