Answer:
domain: {2, -1, 1}
range: {3, 4 6}
Step-by-step explanation:
In the relation of the form (x,y)
Set of all possible value of X is called Domain
Set of all possible value of Y is called Range
To get a list of domain and range it is required to separate value of x and y
_________________________________
Relation given in the problem
S:{(2,3),(−1,4), (1,6)}
domain: {2, -1, 1}
range: {3, 4 6}
Find the solutions for a triangle with a = 16, c =12, and B = 63º.
a. A = 71.6°; C = 52.89; b =12.0
C. A = 68.6° C = 45.40; b=12.0
b. A = 71.6°; C = 45.40; b =15.0
d. A = 68.6°; C = 52.89; b=15.0
Answer:
b. A = 71.6°; C = 45.40°; b =15.0
Step-by-step explanation:
The missing values can be found with the help of the Law of Cosine and properties of triangles:
Side b (Law of Cosine)
[tex]b = \sqrt{a^{2}+c^{2}-2\cdot a \cdot c \cdot \cos B}[/tex]
[tex]b = \sqrt{16^{2}+12^{2}-2\cdot (16)\cdot (12) \cdot \cos 63^{\circ}}[/tex]
[tex]b \approx 15.022[/tex]
Angle A (Law of Cosine)
[tex]\cos A = -\frac{a^{2} - b^{2}-c^{2}}{2\cdot b \cdot c}[/tex]
[tex]\cos A = - \frac{16^{2}-15.022^{2}-12^{2}}{2\cdot (15.022)\cdot (12)}[/tex]
[tex]\cos A = 0.315[/tex]
[tex]A= \cos^{-1} 0.315[/tex]
[tex]A \approx 71.639^{\circ}[/tex]
Angle C (Sum of internal angles in triangles)
[tex]C = 180^{\circ} - 63^{\circ} - 71.639^{\circ}[/tex]
[tex]C = 45.361^{\circ}[/tex]
Hence, the right answer is B.
top side is 6 just couldn’t fit in picture
Answer: [tex]6<z<18[/tex]
Step-by-step explanation:
Use the pythagorean theorem to find z first.
[tex]c^2=a^2+b^2\\c=\sqrt{a^2+b^2}[/tex]
a = 12
b = 6
c = z
[tex]c=\sqrt{(12)^2+(6)^2}\\ c=\sqrt{144+36}\\ c=\sqrt{180} \\c=13.4[/tex]
z is greater than a and b
It's quadratic, linear or exponential?
Complete the point slope equation of the line through (1,3) and (5,1)
Answer:
Step-by-step explanation:
(1-3)/(5-1)= -2/4= -1/2
y - 3 = -1/2(x - 1)
y - 3 = (-1/2)x + 1/2
y - 6/2 = (-1/2)x + 1/2
y = (-1/2)x + 7/2
hi what is the answer to c
For this Prism to be a right prism, all the lateral faces must be rectangles. Is enough infromation given to prove the lateral faces are rectangles? Why or why not?
Answer:
No, there isn't enough information to prove that the lateral faces are rectangles
Step-by-step explanation:
Drag the tiles to the correct boxes to complete the pairs.
Match each quadratic equation with its roots.
Answer:
Step-by-step explanation:
please help me it is math
Answer:
C is face
B is edge
A is vertex (where 2 or more points meet)
Simplify: 327
A)
3
B)
4
0)
7
D)
8
Which of these are NOT expressions?
Check all that are true.
123
9 + 3 = 12
3(4x + 5)
6 − 5 − 4 = z
3z + 2x
HELP
Answer:
6-5-4=z
9+3=12
Step-by-step explanation:
Expressions has no equal sign
Which number is equal to 10 Superscript 4?
40
1,000
10,000
40,000
Answer: The answer is 10,000
Step-by-step explanation:
10^4 is equal to 10,000
10^4 to the second power means that you have too add 4 zeros to the end of the number.
Since 10 already has a 0, you would add 3 more.
Therefore, the answer would be 10,000.
(Your Welcome)
Answer:
10^4 is equal to 10,000
10^4 to the second power means that you have too add 4 zeros to the end of the number.
Since 10 already has a 0, you would add 3 more.
Therefore, the answer would be 10,000.
A person standing on level ground is 2000 feet away from the foot of a 420-foot-tall building, as shown in the accompanying diagram. To the nearest degree, what is the value of X?
Answer:
12
Step-by-step explanation:
The formula for the tangent of an angle is the length of the opposite side divided by the length of the adjacent side. Therefore, the tangent of angle x is 420/2000=0.21. Taking the arctangent of that to get the angle, you get about 12 degrees. Hope this helps!
Select the equivalent expression.
(2^-4 x z^-3)^5 =
Choose 1 answer:
Answer:
A
Step-by-step explanation:
[tex](2^{-4}z^{-3})^{5}[/tex]
several ways to approach this.
use power rule. [tex](a^{m} )^{n} = a^{mn}[/tex]
[tex](2^{(-4*5)}z^{(-3*5)} )[/tex]
[tex](2^{-20} z^{-15} )[/tex]
RULE: [tex]x^{-1} = \frac{1}{x}[/tex]
[tex]\frac{1}{(2^{20}z^{15}) }[/tex]
check out the square pyramid
Answer:
your answer should be 40
Step-by-step explanation:
the square's area is 4x4=16
and the triangles are 4(.5(3x4))=24
24+16=40
Find the radius of the sphere with the given volume 36πin^3
Answer:
3 in.
Step-by-step explanation:
The ordered pair below is a solution to which equation?
(5,40)
Answer:
y = 8x
Step-by-step explanation:
a y = 8x
40 = 8*5
40 = 40
This is a solution
A snack mix recipe calls for 2 1/2 cups of pretzels, 4 1/2 cups of dry cereal, 2 1/4 or peanuts, and 3/4 cups of raisins.If you want to make servings of 3/4 cup each, how many can you have with those ingredients?
Answer:
13 1/3 cups
Step-by-step explanation:
find common denominator then add all of the fractions then divide by 3/4
What is 19 percent of 50
Answer:
What is 19 percent (calculated percentage %) of number 50? Answer: 9.5.
Step-by-step explanation:
Answer:
9.5
Step-by-step explanation:
19% of 50
Convert the percentage to a decimal.
19% = 0.19
Multiply the decimal by the number.
50 × 0.19 = 9.5
9.5 is the answer.
can anyone please help me☹
Answer:
Look at the attachment
- sorry that it’s a bit messy, if you can’t read something let me know
John recorded the weight of his dog Spot at different ages as shown in the scatter plot below.
Part A:
Write an equation that would describe the line of best fit.
Part B:
Using the line of best fit, make a prediction of Spot's weight after 18 months.
Answer:
A) y = 1.875x + 1.25
B) 35 pounds
Step-by-step explanation:
A) We need two points to define a line. To find an equation that would describe the line of best fit, we can use one of the first points and one of the last points. Let's use (2, 5) and (10, 20).
General equation of a line:
y = mx + b
Slope of the line:
m = (20 - 5)/(10 - 2) = 1.875
y-intercept is found replacing a known point and the slope into the general equation:
5 = 1.875*2 + b
b = 5 - 1.875*2 = 1.25
The final equation is:
y = 1.875x + 1.25
where y represents weight (in pounds) and x represents age (in months)
B) At x = 18:
y = 1.875*18 + 1.25 = 35
At the end of the school year a school system has a table with the total absences and tardies in its 10 schools what is the best way to display these data?
A. Bar Graph
B.Circle Graph
C. Stem and leaf plot
D.Ogive graph
Answer:
A
Step-by-step explanation:
If the probability of a chance event is 0.67, it is less likely to happen
than which of the following probabilities of another chance event?
Select one:
0.76
0.61
0.65
0
Answer:
.76
Step-by-step explanation:
HELP ME QUICK PLZ WITH THIS MATH PROBLEM!!!!!!!!!!!!!!
Answer:
I believe it’s 1/2
Step-by-step explanation:
Take a point on the graph and use rise over run method
Answer:
D. 5/8 poundsStep-by-step explanation:
You can find the slope by picking a point such as (8,5).
Slope = rise over run.
(8,5) is 8 units right and 5 units up, thus the slope is 5/8
Hope this helps.
THIS IS NOT A QUESTION!
This is a list of Area and Perimeter on the coordinate plane answers from Khan Academy.
approximate perimeter of STRIPE is 36.01
area of rectangle TOUR is 80
perimeter of of polygon CHOMP is 32.52
area of parallelogram YORK is 122
the area of trapezoid MASK is 34
The approximate perimeter of polygon CODIFY is 51.53
The area of triangle SOL is 52
The approximate perimeter of polygon DINGO is 34.44
the approximate perimeter of the isosceles triangle PAZ is 20.03
the area of triangle CAW is 10
The approximate perimeter of rectangle PEAR is 34.99
The area of trapezoid COWL is 45
The area of triangle TOP is 87/2 units
The approximate perimeter of triangle VEN is 29.80
The area of parallelogram TOWN is 40
the approximate perimeter of quadrilateral BOAT is 30.34
Omg! Thank you. I was stuck for like an hour till I found this.
Answer:
Omg, thank you so much
Step-by-step explanation:
Which of the following shows the correct simplification assuming the denominator is not equal to zero?
Answer:
[tex]=\frac{3x+2}{x\left(x+1\right)}[/tex]
or
[tex]\frac{(3x+2)}{x^2+x}[/tex]
Step-by-step explanation:
[tex]\frac{2}{x}+\frac{1}{x+1}\\\mathrm{Least\:Common\:Multiplier\:of\:}x,\:x+1:\quad x\left(x+1\right)\\Adjust\:Fractions\:based\:on\:the\:LCM\\Multiply\:each\:numerator\:by\:the\:same\:amount\:needed\:to\:multiply\:its\\\mathrm{corresponding\:denominator\:to\:turn\:it\:into\:the\:LCM}\:x\left(x+1\right)\\\mathrm{For}\:\frac{2}{x}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:x+1\\\frac{2}{x}=\frac{2\left(x+1\right)}{x\left(x+1\right)}\\[/tex]
[tex]\mathrm{For}\:\frac{1}{x+1}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:x\\\frac{1}{x+1}=\frac{1\cdot \:x}{\left(x+1\right)x}=\frac{x}{x\left(x+1\right)}\\=\frac{2\left(x+1\right)}{x\left(x+1\right)}+\frac{x}{x\left(x+1\right)}\\\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\=\frac{2\left(x+1\right)+x}{x\left(x+1\right)}\\[/tex]
[tex]\mathrm{Expand}\:2\left(x+1\right)+x:\quad 3x+2\\2\left(x+1\right)+x\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=2,\:b=x,\:c=1\\=2x+2\cdot \:1\\\mathrm{Multiply\:the\:numbers:}\:2\cdot \:1=2\\=2x+2\\\mathrm{Simplify}\:2x+2+x:\quad 3x+2\\2x+2+x\\\mathrm{Group\:like\:terms}\\=2x+x+2\\\\mathrm{Add\:similar\:elements:}\:2x+x=3x\\=3x+2\\=\frac{3x+2}{x\left(x+1\right)}[/tex]
what is the equation of the line passing through ( -5, -3 ) and perpendicular
to the line representing the equation y = - 5/7x + 2?
Answer:
y = 7/5x + 4
Step-by-step explanation:
use the slope from the equation -5/7 and take the negative reciprocal to get the perpendicular slope = 7/5. Then use the equation y=mx+b. Plug in x and y from the point given and the new slope and solve for b.
(-3) = (7/5)(-5) + b, (-3) = -7 + b, add 7 to both sides. b = 4. Rewrite the equation now to be y = 7/5x + 4
BRAINLIEST!!
3. Describe the shape of the data distribution.
Answer: postitive skewed
this is correct
Mariana picked x apples at an orchard. She and her friends ate 6 of them, leaving 36 apples.
The number of apples can be represented by the equation 2 – 6 = 36. Plot a point on the
number line to represent x, the number of apples Mariana picked.
39
40
43
41
42.
44
36
37
38
32
31
33
35
30
34
This graph shows a proportional relationship. (2/3, 3/4)
What is the constant of proportionality?
Answer: Hi! I'd love to help you but I'd need to see the graph.
Step-by-step explanation: Can you add a picture?
Evaluate: 4+8= 2 x (6 - 3)
16
33
25
Answer:
I'm not so sure because there is no solution to that equation
Step-by-step explanation:
Always start by solving the parenthesis equation and multiply, divide, subtract, or add before you get into adding. Next you add those 2 numbers together and when you look at the answer on the left and on the right.. when they are different numbers, you know there is no solution. I'm not sure if this helped and if it didn't I'm sorry.. I tried.
