Answer:
Step-by-step explanation:
A ∪ B -----> we have to write all the elements from A & B set without duplicating.
B∩C ------> We have to write only the elements that are found in both B set and C set
A) A ∪ B = {1,3,5, 6, 7, 9, 10,12}
b) A ∪ C = {1, 3, 5, 6, 7, 9, 10,2,4,8,12}
c) B ∩ C = {10,12}
Answer:
a. A U B = { 1,3,5,6,7,9,10,12 }
b. A U C = { 1,2,3,4,5,6,7,8,9,10,12}
c. B n C = { 10.12 }
Step-by-step explanation:
a. A U B — you put all the numbers in set A and B together without repeating anything.
A U B = { 1,3,5,6,7,9,10,12}
b. A U C — you put all the numbers in set A and C without repeating anything.
A U C = { 1,2,3,4,5,6,7,8,9,10,12}
c. B n C — you find a common number in sets B and C.
B n C = { 10,12}
The numbers 10 and 12 are the only common thing in sets B
and C.
The width, w, of a rectangular rug is 4 less than its length, L . If the perimeter of the rug is 120 square feet, which equation could be used to find the dimensions of the rug?
a. L(4-L) = 120
b. L(L-4) = 120
c. 2(L-4) + 2L = 120
d. 2(4-L) + 2L = 120
Helpp please and thank u :')
Answer:
b
Step-by-step explanation:
If A=(-1,-3) and B=(11,-8), what is the length of line ab?
Hi!
[tex]A=(-1,-3) \ and \ B=(11,-8)\\\\|AB|=\sqrt{(11-(-1))^2+(-8-(-3))^2}\\\\|AB|=\sqrt{(11+1)^2+(-8+3)^2}\\\\|AB|=\sqrt{12^2+(-5)^2}\\\\|AB|=\sqrt{144+25}\\\\|AB|=\sqrt{169}\longrightarrow\boxed{|AB|=13}[/tex]
Answer:
d=13
Step-by-step explanation:
the steps are in the pics below
In a pet shop, there are 6 kittens. Three kittens will be donated to a nursing home.
How many different 3-kitten groups are possible?
A.60
B.20
C.120
D.18
Answer:
20
Step-by-step explanation:
There are 6 ways to choose the first kitten, 5 ways the second, 4 ways the third
6*5*4
But order doesn't matter
Divide by the number of items factorial
3! = 3*2*1 = 6
6*5*4
--------
6
20
In how many ways can a
television programming director
schedule six different
commercials in the six time slots
allocated to commercials during a
1-hour program?
n!
Note: „P,
(n-r)!
Please HELP ME!!!!!!
Answer:
720
Step-by-step explanation:
Using the equation given
[tex]\frac{6!}{(6-6)!}=\frac{6!}{0!}=\frac{6!}{1}=720[/tex]
I NEEDDDDD HELPPPP PLEASEEEEEE!!!!!!!!
Answer:
sin C = 12/13
Step-by-step explanation:
Since this is a right triangle
Sin C = opp side / hypotenuse
sin C = 36/39
sin C = 12/13
HELP PLEASE
BRAIN FOR CORRECT
Answer:
Step-by-step explanation:
-7q+12r=3q-4r
-10q=-16r
r=(5/8)q
I think its correct
Answer:
r = 5/8(q)
Step-by-step explanation:
−7q + 12r = 3q − 4r
Add 4r to both sides:
−7q + 12r + 4r = 3q − 4r + 4r
−7q + 16r = 3q
Add 7q to both sides:
−7q + 16r + 7q = 3q + 7q
16r = 10q
Divide both sides by 16:
(16r)/16 = (10q)/16
r = 5/8(q)
TAREA
Considere un sistema coordenado que contiene el punto A(2 ; -4). Encuentre el punto B si los puntos A y
B se encuentran a la misma distancia con respecto a:
a. Eje Y
b. Eje X
c. Origen
Answer:
Don't know
Step-by-step explanation:
Translate it into English
The measure of an angle is 112.7º. What is the measure of its supplementary angle?
Answer:
67.3
Step-by-step explanation:
Let x = unknown angle
Supplementary angles add up to equal 180
Hence 112.7 + x = 180
Solve for x
112.7 + x = 180
Subtract 112.7 from both sides
x = 67.3
An angle supplementary to an angle with a measure of 112.7 degrees has a measure of 67.3
Does this table represent a function? Why or why not?
Hours of
Training
10
20
30
40
50
60
70
Monthly
Pay
1100
1200
1300
1400
1500
1600
1700
Answer:
Yes. It represents [tex]m = h + 1000[/tex] (where h is hours of training and m is monthly pay).
Which expression is equivalent to 1/3 (6m+15) +3
the market price of an article is 150000 it is sold while going to 15% discount and made by profit 1500 find the cost price of motorcycle
Answer:
126,000
Step-by-step explanation:
150,000 * .15 = 22,500
150,000 - 22,500= 127,000
127,000 - 1500 = 126,000
If a picnic area is located at the midpoint between Lubbock and Amarillo, find the distance to the picnic area from the sign.
Answer:
52
Step-by-step explanation:
It is given that the picnic spot is in the Plainview. The picnic spot is also located between the md point of the places Lubbock and Amarillo.
In the figure the sign shows that from the place where we are standing,
-- the distance to Lubbock = 5 units
-- the distance to Plainview = 52 units
-- the distance to Amarillo = 128 units
So, form this we can say that the distance from the sign board to the picnic area in Plainview is 52.
Find the length of RX. PLEASE HELP ASAP!
A.7.96
B.76.11
C.76.53
Answer:
B
Step-by-step explanation:
We want to find RX.
Note that RX is adjacent to ∠X and we also know the side opposite to ∠X.
Thus, we can use the tangent ratio. Recall that:
[tex]\displaystyle \tan\theta = \frac{\text{opposite}}{\text{adjacent}}[/tex]
Substitute:
[tex]\displaystyle \tan6^\circ = \frac{8}{RX}[/tex]
Take the reciprocal of both sides:
[tex]\displaystyle \frac{1}{\tan6^\circ}= \frac{RX}{8}[/tex]
Multiply both sides by 8:
[tex]\displaystyle RX = \frac{8}{\tan6^\circ}[/tex]
Use a calculator (make sure you're in Degrees mode!):
[tex]\displaystyle RX\approx 76.1149[/tex]
Hence, our answer is B.
6. The right triangles ABC and DEF are
similar. The hypotenuse of ABC
measures 28 cm and the hypotenuse
of DEF measures 7 cm. If one of the
legs of ABC measures 16 cm, what
does the corresponding leg of DEF
measure?
F 1 cm
H 12 cm
G 4 cm
J 64 cm
Answer:
G 4 cm
Step-by-step explanation:
28/7 = 4, so the scale factor is 4. Therefore, if AC is 16, and triangle ABC is the bigger triangle, then divide it by 4 to get 4 cm for the smaller triangle DEF.
Which of the following equations is NOT an example of inverse
variation?
1. f(x) = kx
11. f(x) = 2k/x
III. f(x) =-kx/z
Answer:
i and iii are not examples of inverse variation.
Step-by-step explanation:
Inverse variation between two variables, y and x, is written as:
y = k/x
This means that, as the absolute value of x increases, the absolute value of y decreases.
So we need to have the variable in the denominator.
Let's analyze the given options:
i) f(x) = k*x
Here, x is not in the denominator, this is a direct variation, so this is not an example of inverse variation.
ii) f(x) = 2k/x
Here we can see that the variable x is in the denominator, thus, this is an inverse variation.
iii) f(x) = -k*x/z
We can see that we have z in the denominator, but you can see that the variable is x, and x is in the numerator, thus, this is not an example of inverse variation.
We can conclude that:
f(x) = kx
and
f(x) =-kx/z
Are not examples of inverse variation.
Please help me :)))!!!!!!
Answer:
16 × X + 3=
Step-by-step explanation:
u will get your answer
Given the box plot, will the mean or the median provide a better description of the center?
*box plot with min at 10.5, Q1 at 11.5, median at 12.5, Q3 at 13.5, max at 15*
Answer:
A- The mean, because the data distribution is symmetrical
Step-by-step explanation:
When the number of values to the left and left of a distribution are almost or the same, such that the peak of the distribution is at the centre and the tail are spread out at both sides, then we say we have a symmetrical distribution. For, symmetrical data, the mean is the best measure of centre. However, for non - symmetrical distributions (skewed) the median is usually taken as the measure of centre of the data. However, since the distribution Given above, is almost symmetrical, then the mean sglhoukdnbe the preferred measure of centre.
f(x) = x^2 + 1 is limited to (0, 1, 2, 3), what is the maximum love you all of the range?
Answer:
2
Step-by-step explanation:
f(x)=x^2+1
now,
f(1)=1^2+1
=1+1
=2
Solve for x. Round to the nearest tenth, if necessary. PLEASE HELP!
Answer:
15.6
Step-by-step explanation:
SOH -CHA-TOA
Tan = opp / adj
Tan(60) = 27/x
x = 27/tan(60)
Answer:
x ≈ 5.4
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{MN}{LM}[/tex] = [tex]\frac{9.3}{x}[/tex] ( multiply both sides by x )
x × tan60° = 9.3 ( divide both sides by tan60° )
x = [tex]\frac{9.3}{tan60}[/tex] ≈ 5.4 ( to the nearest tenth )
It is given that cos 0 = -0.4209 and 0° 0 < 360°. Calculato the values of 0
Answer:
114.89 degrees
245.11 degrees
Step-by-step explanation:
cos is negative in the second and third quadrant ("pointing" on the x-axis to the left).
so, the first answer for the second quadrant is
114.89 degrees.
the answer for the third quadrant is then backwards the same angles from a full 360 degree rotation
360 - 114.89 = 245.11 degrees
Explain the connection between ∠2 and ∠B.
A triangle has angle measures 50 degrees, 65 degrees, and B. 2 lines extend from a horizontal line to form 3 angles. The angles are 50 degrees, 2, 65 degrees.
Answer:
∠2 ≅ ∠B
Step-by-step explanation:
Let the triangle be ABC,
Given that,
∠A = 50°
∠C = 65°
Using angle-sum property of the triangle,
∠A + ∠B + ∠C = 180°
50° + ∠B + 65° = 180°
∵ ∠B = 65° ...(i)
A.T.Q.
Two horizontal lines are extended making 3 angles. Two angles out of them are 50° and 65°.
Since the adjacent angles comprising a straight line is equals to 180°.
so,
∠2 + 50° + 65° = 180°
∠2 + 115° = 180°
∠2 = 180° - 115°
∵ ∠2 = 65° ...(ii)
Using (i) and (ii),
∠2 ≅ ∠B
Therefore, ∠2 and ∠B are congruent to one another.
Answer: Sample Response: The sum of the measures of the interior angles of a triangle is 180°. m∠B + 50 + 65 = 180, so m∠B = 65°. The sum of adjacent angles forming a straight line is also 180°. m∠2 + 50 + 65 =180, so m∠2 = 65°. The angles are congruent.
Step-by-step explanation: its the sample response
What is the explicit formula for this sequence?
-7, -3, 1, 5, ...
Answer:
Step-by-step explanation:
a1 = - 7
d = 4
an = a1 + (n - 1) * d
an = - 7 + (n - 1) * 4
an = - 7 + 4n - 4
an = -11 + 4n
Try this out. Let n = 3
a3 = -11 + 4*3
a3 = - 11 + 12
a3 = 1 Which is what the series says.
What number is halfway between -0.5 and 2.3
Answer:
0.9
Step-by-step explanation:
In order to get halfway between -0.5 and 2.3, first, we need to take their sum:
Sum of digits
Sum = [tex]{-0.5+2.3}[/tex]
Sum = [tex]1.8[/tex]
Take the average of the sum
Average = [tex]\frac{1.8}{2} = 0.9[/tex]
Hence the halfway between the numbers is 0.9
What is the height, x, of the equilateral triangle shown?
Answer:
B
Step-by-step explanation:
- Divide the base by 2
10 / 2 = 5 in
- multiply by √3
5√3 in
125 = a 5 ise a kaçtır? A3 B) 4 C) 5 D) 25
Answer:
D
Step-by-step explanation:
25×5=125
I hope it helps
Find the lettered angles in each of the following.
( where a point o is given , it is the centre of the circle) .
t=46°
u=134°
v=23°
w=23°
Answer:
Solution given;
v=w [base angle of triangle]
<SPQ+<SRQ=180°[sum of opposite angle of a cyclic quadrilateral is 180°]
81+v+53+w=180°
134°+v+v=180°
2v=180°-134°
v=46/2
v=23°
w=v=23°
In triangle ∆ PQR
v+w+u=180°[sum of interior angle of a triangle]
23+23+u=180°
u=180°-46°
u=134°
again
In triangle ∆ PSR
t+81+53=180°
t=180°-134°
t=46°
Answer:
t and u are supplementary as opposite angles of a cyclic quadrilateral.
t = 180 - (81 + 53) = 46u = 180 - t = 180 - 46 = 134v and w are equal as opposite angles to equal sides.
v = w = 1/2(180 - u) = 1/2(180 - 134) = 23Please help me find the length of the line!
Answer:
The length of the segment is 10.
Step-by-step explanation:
Think of the segment as the hypotenuse of a right triangle.
Draw the legs and label the lengths.
See the picture below.
The length of the hypotenuse is c.
c^2 = a^2 + b^2
c^2 = 6^2 + 8^2
c^2 = 36 + 64
c^2 = 100
c = 10
Answer: 10
hey please answer soon i need this done soon! 20points!!!
Which classification describes the system of linear equations?
{3x−y=2y=3x+2
consistent independent
inconsistent
consistent dependent
Answer:
consistent independentExplanation:-The system of linear equations {3x−y=2y=3x+2 describes consistent independent .Hope it is helpful to you stay safe healthy and happy ☺️There were 234 beads in each bag Lisa bought 3 bags of beads and have 87 beads away how many beads did she have left
10
y
9
Which characteristics tell you that this graph shows a
proportional relationship? Check all that apply.
O Three points are on the graph.
A straight line can be drawn through the points.
8
7
6
The ordered pairs all have the same x- and y-
values.
5
4
The line connecting the points passes through the
origin.
3
2
.
1
2.
3
4
5
6
7
8
9
10
Answer:
The characteristics of a proportional relationship are: 1) It is a straight line; 2) the line goes through the origin of (0,0); and 3) the unit rate is (1,r). It most have all three.
Step-by-step explanation:
