Step-by-step explanation:
Set-builder notation is a notation for describing a set by indicating the properties that its members must satisfy.
C={2,4,6,8}
C={2×1,2×2,2×3,2×4}
thus set builder form is:
{x:x=2n,n∈N} and this set is also call even number set in description mathod
A 3cm x 2cm rectangle sits inside a circle with a radius of 4cm
What is the area of the shaded region
round your final answer to the nearest hundredth
The area of the shaded region is 44.24\ cm^{2}44.24 cm2
Step-by-step explanation:
we know that
The area of the shaded region is equal to the area of the circle minus the area of rectangle
step 1
Find the area of circle
The area of the circle is equal to
A=\pi r^{2}A=πr2
we have
r=4\ cmr=4 cm
substitute
A=\pi (4)^{2}A=π(4)2
A=16\pi\ cm^{2}A=16π cm2
step 2
Find the area of rectangle
The area of rectangle is equal to
A=(3)(2)=6\ cm^{2}A=(3)(2)=6 cm2
step 3
Find the difference
16\pi\ cm^{2}-6\ cm^{2}16π cm2−6 cm2
assume
\pi=3.14π=3.14
16(3.14)\ cm^{2}-6\ cm^{2}=44.24\ cm^{2}16(3.14) cm2−6 cm2=44.24 cm2
Compare the functions shown below:
Which function has the greatest maximum y-value?
Answer:Hey I'm sorry I didn't get to answer your question it's just that I need the points because I don't have enough to get help with my question. I hope you get the answer that you need for you question. Good Luck :)
Step-by-step explanation:
If I Have 100 Dollars And i go to the bank and i ask for 30 more and use that money on a store and i have 12 Dollars Left How Much Did the Thing I Bought Cost/ How Much Money did i spend?
Answer:
$118
Step-by-step explanation:
First, find how much money you had after going to the bank:
100 + 30
= $130
Find how much money you spent at the store by subtracting 12 from 130:
130 - 12
= 118
So, you spent $118
If 1 angle is four time of another angle in linear pair find the angles. Please do it fast as you can
Answer:
let the angle be x then other angle is 4x
so,
x + 4x = 180
5x = 180
x = 36
so other angle I.e 4x = 4 × 36 = 144
Let one angle be x
Other angle=4xBoth are linear pair hence their sum will be 180
[tex]\\ \sf \longmapsto x+4x=180[/tex]
[tex]\\ \sf \longmapsto 5x=180[/tex]
[tex]\\ \sf \longmapsto x=\dfrac{180}{5}[/tex]
[tex]\\ \sf \longmapsto x=30[/tex]
[tex]\\ \sf \longmapsto 5x=5(30)=150[/tex]
17. Test Practice which represents the number that is ten more than two
thousand, seventy?
A 280
® 2,008
© 2,080
0 2,800
Answer:
2,080
Step-by-step explanation:
Two thousand and seventy is written as 2,070.
Ten more than 2,070 would be 2,080 as you're just adding on 10.
Hope this helps :)
Two trees are leaning on each other in the forest. One tree is 19 feet long and makes a 32° angle with the ground. The second tree is 16 feet long. What is the approximate angle, x, that the second tree makes with the ground? A 0.6° B 35.0° C 39.0° D 58.0°
Answer:
C 39.0
Step-by-step explanation:
To find the approximate angle, x, that the second tree makes with the ground, we can use the concept of similar triangles Therefore the correct option is B.
Let's calculate the height of the first tree using the given information. We can use the formula for the opposite side in a right triangle: opposite = adjacent * tan(angle). Therefore, the height of the first tree is approximately [tex]19 * tan(32°) = 19 * 0.6249 ≈ 11.873[/tex] feet. Now, we can set up a proportion between the two trees based on their heights. Let x be the angle the second tree makes with the ground.
We have the following proportion: (height of first tree)/(height of second tree) = (length of first tree)/(length of second tree). Substituting the known values, we have [tex]11.873/16 = 19/x[/tex]. Cross-multiplying gives us [tex]11.873x = 304,[/tex] and dividing both sides by 11.873 yields[tex]x ≈ 25.63°.[/tex] The approximate angle, x, that the second tree makes with the ground is closest to 35.0°.
Hence the correct option is B
To know more about triangle visit:
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What is the difference between {2,3} and {{2,3}}
[tex]\{2,3\}[/tex] is a set containing two elements - numbers 2 and 3
[tex]\{\{2,3\}\}[/tex] is a set containing one element - a set [tex]\{2,3\}[/tex]
Find all positive integers less than 100 whose 762nd power ends in the digits "41"
Answer:
21, 29, 71, 79
Step-by-step explanation:
Only integers ending in 1, 3, 7, or 9 have powers that end in 1. For the numbers so ending, their sequences of powers mod 100 have a repeat length that is a divisor of 20. That is, raising any of these numbers to the 762nd power mod 100 is equivalent to squaring them, mod 100.
For example, the powers of 29 mod 100 are, beginning with the first power, ...
{29, 41, 89, 81, 49, 21, 9, 61, 69, 1}
This sequence is of length 10, typical of many of the numbers ending in 1, 3, 7, or 9.
The only positive integers less than 100 whose squares end in 41 are ...
21, 29, 71, 79 . . . . . positive integers < 100 satisfying n^762 mod 100 = 41
1. Classify the following numbers as rational or irrational.
a) √45 b) √55 c) √196 d) √576 e) √27
Can u guys answer this question pls
Answer:
a) irrational
b) irrational
c) rational
d) rational
e) irrational
Note:
rational numbers are numbers that can be expressed in fractions.
irrational numbers are numbers that cannot be expressed in fractions i.e. they are never-ending-non-repeating decimals. examples √2, pi etc.
Can someone help?...look at the pics
Answer:
[tex]\boxed{y=2x-2}[/tex]
Step-by-step explanation:
Pick values from the table.
When x = 1, y = 0.
The third option seems right.
[tex]y=2(1)-2[/tex]
[tex]y=2-2[/tex]
[tex]y=0[/tex]
True.
Which is a factor pair of 72? 1. 12, 6 2. 14, 5 3. 23, 4. 24, 2
Answer:
1. 12, 6
Step-by-step explanation:
Your answer is 1. because you need to multiply them together to get the answer. In this case all you do is 12 × 6 = 72
Hope this helps!
What is a negative rational number times a positive integer?
A) A negative integer
B) A positive rational number
C) A negative rational number
D) An irrational number
Answer:
C
Step-by-step explanation:
The product of a negative rational number and a positive integer is a negative rational number
Answer: C (A Negative Rational Number)
Step-by-step explanation
A Negative number mutiplied by a positive number is a negative number.
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2√63 what is the radical
Answer:
7.94
Step-by-step explanation:
Answer:
[tex]\Large \boxed{\sqrt{63}}[/tex]
Step-by-step explanation:
A radical is the root of a number.
[tex]2\sqrt{63}[/tex]
The radical in this expression is [tex]\sqrt{63}[/tex].
Given the graph of a radical function, which statement is correct?
Radical function going from the point negative 4 comma negative 3 up to the right through the point 5 comma 0
R colon open bracket y is an element of all real numbers close bracket
R colon open bracket y is an element of all real numbers such that y is greater than or equal to 5 close bracket
R colon open bracket y is an element of all real numbers such that y is greater than or equal to negative 4 close bracket
R colon open bracket y is an element of all real numbers such that y is greater than or equal to negative 3 close bracket
Answer:
R colon open bracket y is an element of all real numbers such that y is greater than or equal to negative 3 close bracket
45 laboures can repair a road in 24 days .how many labourers should be added to repair the road in 20 days
Answer:
here's your answer .Hope you will understand it.
Answer:
9
Step-by-step explanation:
hope it will help good day.
Which two of the objects shown below could we slice diagonal to their bases/faces to create ellipse cross-sections (that aren't circles)?
Choose 2 answers:
Choose 2 answers:
(Choice A)
A
Cone
(Choice B)
B
Cube
(Choice C)
C
Cylinder
(Choice D)
D
Sphere
Answer:
C
Step-by-step explanation:
The cylinder would show an ellipse when cut diagonally. Please Brainliest PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS.
Find the missing probability: P(B)=7/20, P(A|B)=1/4, P(A∩B)=?
Answer:
P(A∩B) = 7/80
P(A∩B) = 0.0875
Step-by-step explanation:
Given
P(B)=7/20
P(A|B)=¼
Required
P(A∩B)=?
The given probability shows conditional probability and the relationship between the given parameters is as follows.
P(A∩B) = P(B) * P(A|B)
Substitute ¼ for P(A|B) and 7/20 for P(B)
The expression
P(A∩B) = P(B) * P(A|B) becomes
P(A∩B) = 7/20 * ¼
P(A∩B) = 7/80
P(A∩B) = 0.0875
Hence, the calculated P(A∩B) is 7/80 or 0.0875
4 m² into cm²
plz help me fast
Answer: 40000 square centimetres
Area
4
Square meter
40000
Square centimeter
Formula
multiply the area value by 10000
Answer:
4m² into cm² = 40,000cm²
Step-by-step explanation:
1 m²=10,000cm²
4m²+ 10,000cm =40,000cm²
Solve for p 9(p-4)=-18
Answer:
The answer is
p = 2Step-by-step explanation:
9(p-4)=-18
First expand the terms in the bracket
that's
9p - 36 = - 18
Group like terms
Send the constants to the right side of the equation
That's
9p = - 18 + 36
9p = 18
Divide both sides by 9
That's
9p/9 = 18/9
We have the final answer as
p = 2Hope this helps you
Answer:
[tex] \boxed{p = 2}[/tex]Step-by-step explanation:
[tex] \mathsf{9(p - 4) = - 18}[/tex]
Distribute 9 through the parentheses
[tex] \mathsf{9p - 36 = - 18}[/tex]
Move constant to R.H.S and change it's sign
[tex] \mathsf{9p = - 18 + 36}[/tex]
Calculate
[tex] \mathsf{9p = 18}[/tex]
Divide both sides of the equation by 9
[tex] \mathsf{ \frac{9p}{9} = \frac{18}{9} }[/tex]
Calculate
[tex] \mathsf{p = 2}[/tex]
[tex] \mathcal{Hope \: I \: helped}[/tex]
[tex] \mathcal{Best \: regards}[/tex]
a 6 foot tall man casts a shadow that is 9 ft long. At the same time, a tree nearby casts a 48 ft shadow. how tall is the tree
Answer:
32 ft tall
Step-by-step explanation:
Since a 6 ft man casts a shadow 9 ft long, the shadow is 3/2 of the actual object/person.
SINCE THE TREE'S SHADOW IS AT THE SAME TIME, THE HEIGHT IS THE SAME RULE.
We know the tree's shadow is 48 ft.
--> 48/3 = 16
16 x 2 = 32
32 ft tall
Hope this helps!
Answer: 32ft tall
Step-by-step explanation:
what is the distance between (-3,0,1) and (5,2,0).
Answer:
4
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2+(z_{2}-z_{1})^2}\\ =\sqrt{(5+3)^2+(2-0)^2+(0-1)^2} \\=\sqrt{64+4+1} \\=\sqrt{69}[/tex]
1. ABCD is a quadrilateral in which angle A = angle C and angle B = angle D
Prove that, if the opposite angles of a quadrilateral are equal, then the quadrilateral is a
parallelogram.
Answer:
Quadrilateral ABCD is a parallelogram, quadrilateral with opposite sides parallel
Step-by-step explanation:
Statement, Reason
∠A = ∠C, Given
∠B = ∠D, Given
Therefore, we have
∠A + ∠B + ∠C + ∠D = 360°, Sum of interior angles of a quadrilateral
2×∠A + 2×∠B = 360°, Substitution property of equality
∴ ∠A + ∠B = 360°/2 = 180°
∠A + ∠B, are supplementary angles, Angles that sum up to 180°
Similarly,
∠C + ∠D, are supplementary angles, Angles that sum up to 180°
Therefore, segment DA is parallel to segment BC, (Lines with supplementary angles on the same side of the transversal)
Similarly, given ∠A = ∠C and ∠B = ∠D, we have;
∠A + ∠D and ∠C + ∠B are supplementary angles, Angles that sum up to 180°
Therefore, segment AB is parallel to segment DC, (Lines with supplementary angles on the same side of the transversal)
Therefore;
Quadrilateral ABCD is a parallelogram, quadrilateral with parallel opposite sides.
an inch worm is how long in general
Answer:
A inch
Step-by-step explanation:
Ncluding a 6% sales tax, a new stereo costs $492.9. Find the cost of the stereo before tax. A) First write an equation you can use to answer this question. Use x x as your variable and express any percents in decimal form in the equation. (1)
Answer:
1.06x = 429.9
Cost of stereo before sales tax = $405.6
Step-by-step explanation:
Given the following :
Full cost of stereo(cost after sales tax) :
(cost before sales tax + sales tax)
Sales tax = 6%
Cost after sales tax = $492.9
Take the cost before sales tax as 'x'
Therefore, cost after sales tax:
x + 6% of x = $492.9
Equation to solve the problem :
x + 0.06x = 429.9
1.06x = 429.9 - - - (1)
We can then solve for x:
1.06x = 429.9
x = 429.9 / 1.06
x = $405.56603
x = $405.6
helphelphelphelphelphelp
Answer:
see image
Step-by-step explanation:
Can someone please help me with this question? The y is throwing me off.
x = 21
y = 8
=========================================================
Explanation:
Since the y is giving you trouble, I recommend ignoring it for now. Luckily we don't need the y value at first.
Let's solve for x.
The two angles (10x-61) and (x+10) form a straight angle which is 180 degrees.
So,
(10x-61) + (x+10) = 180
10x-61 + x+10 = 180
11x - 51 = 180
11x-51+51 = 180+51 .... adding 51 to both sides
11x = 231
11x/11 = 231/11 .... dividing both sides by 11
x = 21
Since x = 21, the upper right angle (10x-61) is equal to
10x-61 = 10*21-61 = 210-61 = 149
-------------
We can now focus on the (18y+5) angle. This is set equal to 149 since vertical angles are congruent
18y+5 = 149
18y+5-5 = 149-5 ... subtracting 5 from both sides
18y = 144
18y/18 = 144/18 .... dividing both sides by 18
y = 8
--------------
Or we could add the angles (18y+5) and (x+10), set them equal to 180, and solve for y like that
(18y+5)+(x+10) = 180
18y+5 + x+10 = 180
18y+5+21+10 = 180 .... plug in x = 21
18y+36 = 180
18y+36-36 = 180-36 ... subtract 36 from both sides
18y = 144
18y/18 = 144/18 .... dividing both sides by 18
y = 8
We get the same result.
--------------
As a check, plugging y = 8 into 18y+5 should lead to 149
18y+5 = 18*8+5 = 144+5 = 149
This confirms the y value answer
This is urgent please help, I have to submit this today!
Answer:
I think B is correct
Step-by-step explanation:
Because it it shows that -4 is going lesser direction including-4 .
34. Which is the rule for the linear
function graphed below?
Answer:
We can note that this part of the graph is a linear function. This means that is has a general form: y = mx + c where m is the slop and c is the y-intercept (value of y at x=0). For the slope, we will use the points (0,2) and (3,5) to calculate it as follows: m = (y2-y1)/(x2-x1) = (5-2)/(3-0) = 1 For the y-intercept, we can note that at x=0, the value of y is 2. This means that the equation of the first part of the graph is: y = x + 2
Read more at Answer.Ya.Guru – https://answer.ya.guru/questions/703068-which-rules-define-the-function-graphed-below.html
PLS ANSWER I WILL GIVE BRAINLIST AND A THANK YOU
Answer:
x= 6 degrees
Step-by-step explanation:
x+x+54 = 90
2x+54 = 90
x= 90- 54 /2
x =6
Answer:
x = 6
Step-by-step explanation:
90 - 54 = 36
x + 5x = 6x
36 + 6x = 90
90 - 36 = 6x
36/6x = 6
x = 6
by selling an article sonu makes a profit of 20%. if the cp decreased by 10% and sp also increased by 10%,calculate her profit percentage
Answer:
37.8 %
Step-by-step explanation:
Let CP = 100
[tex]SP =\frac{100+profit}{100}*CP\\\\=\frac{120}{100}*100[/tex]
SP = 120
New CP:
CP decreased by 10%
[tex]Decreased \ amount=\frac{10}{100}*CP\\\\=\frac{10}{100}*100[/tex]
= 10
New CP = 100- 10 = 90
New SP:
SP increased by 10%
Increase amount = [tex]\frac{10}{100}*old \ SP[/tex]
[tex]= \frac{10}{100}*120\\\\= 12[/tex]
New SP = 120 + 12 = 132
Profit = new SP - new CP
= 132 - 90 = 42
Profit percentage = [tex]\frac{Profit}{CP}*100[/tex]
[tex]= \frac{42}{90}*100\\[/tex]
= 46.67%
Step-by-step explanation:
Here your ans..
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