Answer:
sin α = [tex]\frac{y}{r}[/tex] = [tex]\frac{1}{\sqrt{10} }[/tex]
cos α = [tex]\frac{x}{r}[/tex] = [tex]\frac{3}{\sqrt{10} }[/tex]
tan α = [tex]\frac{y}{x}[/tex] = [tex]\frac{1}{3}[/tex]
cot α = [tex]\frac{x}{y}[/tex] = [tex]\frac{3}{1}[/tex]
sec α = [tex]\frac{r}{x}[/tex] = [tex]\frac{\sqrt{10} }{3}[/tex]
csc α = [tex]\frac{r}{y}[/tex] = [tex]\frac{\sqrt{10} }{1}[/tex]
Step-by-step explanation:
If the point is given on the terminal side of an angle, then:
Calculate the distance between the point given and the origin:
r = [tex]\sqrt{x^2+y^2}[/tex]
Here it is: [tex]\sqrt{3^2+1^2}[/tex] = [tex]\sqrt{9+1}[/tex] = [tex]\sqrt{10}[/tex]
So we have:
x = 3
y = 1
r = [tex]\sqrt{10}[/tex]
Now we can calculate all 6 trig, functions:
sin α = [tex]\frac{y}{r}[/tex] = [tex]\frac{1}{\sqrt{10} }[/tex]
cos α = [tex]\frac{x}{r}[/tex] = [tex]\frac{3}{\sqrt{10} }[/tex]
tan α = [tex]\frac{y}{x}[/tex] = [tex]\frac{1}{3}[/tex]
cot α = [tex]\frac{x}{y}[/tex] = [tex]\frac{3}{1}[/tex]
sec α = [tex]\frac{r}{x}[/tex] = [tex]\frac{\sqrt{10} }{3}[/tex]
csc α = [tex]\frac{r}{y}[/tex] = [tex]\frac{\sqrt{10} }{1}[/tex]
Burt ran the length of the trail in his town’s park. There are 9 parts to the trail, and each part is the same length. Burt ran a total of 1.8 kilometers.
What is the length of each part of the trail?
Answer:
.2 kilometers
Step-by-step explanation:
Since there are 9 parts to the trail and the total is 1.8 kilometers, just divide the total by how many parts. 1.8 divided by 9 is .2 so the length of each part of the trail is .2 kilometers
Determine whether each equation represents a proportional relationship.
Y=2.5x
y= x - 4
Answer:
y=2.5x - Proportional
y= x - 4 - Not Proportional
Step-by-step explanation:
A linear function that is proportional is in the form y =kx (k is the constant of variation) and passes the origin.
The first equation given is in this form (2.5 is the constant) and it passes through the origin. It is proportional.
However, the second one is not proportional is it does not pass the orgin and it's not in y=kx form.
Hope this helps.
Cherie has 4 gift cards. Each gift card is worth $10. If she spends $23, how much will she have left?
Answer: She'll have $17 left.
Step-by-step explanation:
4 * 10 = 40
40 - 17 = 23
Hope this helps!
1. Name a midsegment in the triangle.
Answer:
EF
Step-by-step explanation:
Hope this helps!
Find the equation of the line passing through the point (-1,0) and parallel to the line
y=-1/2x+3/7
A) y= 2x + 2
B) y = -1/2-1/2
C) y = 1/2x+1/2
D) y = - 1/2x+1/2
Answer:
B) y= -½x -½
Step-by-step explanation:
Slope-intercept form
y= mx +c, where m is the slope and c is the y-intercept.
[tex]y = - \frac{1}{2} x + \frac{3}{7} [/tex]
Slope of given line= -½
Since parallel lines have the same slope, slope of unknown line= -½.
y= -½x +c
To find the value of c, substitute a pair of coordinates into the equation.
When x= -1, y= 0,
[tex]0 = - \frac{1}{2} ( - 1) + c[/tex]
[tex]0 = \frac{1}{2} + c[/tex]
[tex]c = - \frac{1}{2} [/tex]
Thus, the equation of the line is y= -½x -½.
Which is an equation of the line through the origin and (-5,6)?
A. y=-5/6x
B. y=-6x
C. y=-5x
D. y=- 6/5x
Answer:
y=-6/5x
Step-by-step explanation:
Plzzzzz help meeeee plzzzz I really d answa
Answer:
c. is correct answer I think
if f(x)=2x^2-1, then f(-3)=
Answer:
f(-3) =17
Step-by-step explanation:
f(x)=2x^2-1
Let x = -3
f(-3)=2(-3)^2-1
= 2(9) -1
= 18-1
17
a coin is tossed 4 times. what is the probability of getting heads each time
answer: 1/16
If you flip a coin 4 times, the probability of getting all heads is 1/16.
3(2/3p+3-1/3p-5) What is the simplified version of this equation.
Answer: p+1
Step-by-step explanation:
3(2/3p+3-1/3p)
=3(1/3p+3)
=p+1
Solve four ninths minus four tenths equals blank.
Answer:
2/45
Step-by-step explanation:
What is the range of the function y = x^2?
Ox>0
O all real numbers
Oy>0
Answer:
The range is y≥0
Step-by-step explanation:
The shape of this graph is a parabola
You may see this by using the Desmos calculator and typing y=x^2 if you would like to visualize.
(a) The function y = x^2 simply takes whatever number you feed it (x) and outputs x squared.
For example
y = (2)^2=4
y = (3)^2 = 9
(b) To graph x^2 simply make a table of values and plug in 0 -> however high you would like to go ( usually to 5 or so is fine but you could go to infinity).
Example
y = x^2
Y | X
________
2 | 4
3 | 9
4 | 16
In this case the function's range is y≥0 because all y values will be greater than or equal to 0.
If you are wanting to learn how to specifically graph this you can look up (Graphing y = x²) if my quick graphing explanation back at mark (b) does not help.
Solve (u+2)^2+6=69 , where u is a real number.
Answer:
5.94 and -9.94
Explanation:
Use complete the square to answer the question and then type the last line into a calculator to get 5.94 and -9.94
Ernie played 35 soccer games this season. He won 28 games. Enter the
percentage of games Ernie won.
Answer:
I think it;s 9.8
Step-by-step explanation:
You divide 35 and 28 i think
Hehhhhhhhhhhhhhheh eh
check attachment for question
Answer:
[tex]\displaystyle 3x^2 + x[/tex]
Explanation:
All you are doing is combining like-terms:
[tex]\displaystyle \boxed{3x^2 + x} \Rightarrow [5x + x^2 - 1] + [2x^2 - 4x + 1][/tex]
I am joyous to assist you at any time.
9. 25 students each paid $6.50 to go to the museum. How much did they all pay together?
Answer:
They paid 247 dollar.
Step-by-step explanation:
They paid 247 dollar
Answer:
Step-by-step explanation:
1 student paid 6.50
25 students paid x
1/25 = 6.50 / x Cross multiply
x = 25 * 6.50
x = 162.50
The total for all 25 came to 162.50 dollars.
Estimate the area please. will give brainliest.
Answer:63
Step-by-step explanation:
Bret buys a dining table that costs $150 before tax. The sales tax is 8%. How much sales tax did he pay?
Answer:
$12
Step-by-step explanation:
to find sales tax you multiply the cost by the percentage
you do 150 * 8%
thats also 150 * 0.08
150 * 0.08 is 12
so you pay $12 in tax
Bret paid $12 as sales tax.
What is a expression? What is a mathematical equation? What is Equation Modelling? What is denominator?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. In a fraction say (x/y), [y] is called denominator.
We have Bret buys a dining table that costs $150 before tax. The sales tax is 8%.
Assume that he paid $[x] as sales tax. Then, we can write -
[x] = 8% of 150
[x] = (8/100) x 150
[x] = 12
Therefore, Bret paid $12 as sales tax.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
#SPJ2
solve for x -22=-7+3/5x
7x – 5 – 3x = 7 – 6x solve for x
Step-by-step explanation:
7x - 3x=5 + 7
we will plus --
10x =12
x=12÷10 or 10 /12
x=12.2
The history museum charges a $30 fee plus $12 per student for a field trip.
The aquarium charges a $40 fee plus $10 per student. The lines in the graph
represent the cost of each field trip.
For what number of students will the total cost of each field trip be the same,
and what will that cost be?
Field Trip Costs
y = 40 + 10x
Cost ($)
120
140
100
90
80
70
60
50
40
30
20
10
y = 30 + 12x
1 2 3 4 5 6 7 8 9 10 11 12
Number of students
Answer:
5 students; $90
Step-by-step explanation:
A-P-E-X
There are visitors at home. Michelle made 10 and 3/5 cups of tea while Leslie made 9 and 2/5 cups of tea. How many cups of tea did the two sisters make for the visitors? *
Answer:
20 cups
Step-by-step explanation:
Michelle: 10 3/5 cups made
Leslie: 9 2/5 cups made
Steps:
First, let's turn each number into decimal form.
10 3/5 = 10.6
9 2/5 = 9.4
Then, add
9.4 + 10.6 = 20
Conclusion
They made 20 cups in all
Note:
Hope this helped :)
Have a nice day
Reply with any questions or concerns please :D
find the value of 777^2 - 223^2
Answer:
549440
Step-by-step explanation:
777^2 = 603729
223^2 = 54289
603729 - 54289 = 549440
Hey ya'll I need help on this question
Answer:
285.2
Step-by-step explanation:
2852.1/10 = 285.21
but rounded to the nearest tenth is 285.2
Answer:
285.2
Step-by-step explanation:
After we divide 2852.1 by 10 we get 285.21. Rounding it to the nearest tenth it would be 285.2.
34.2 is what percent of 288? Round to the nearest hundredth.
Answer:
11.87%
Step-by-step explanation:
34.2/288=0.11875
Which is about 0.1187
So 11.87%
Answer:
11.87
Step-by-step explanation:
mental math and just big brain
8 x 1/2=4 simplified
Answer:
Step-by-step explanation:
8➗2=4
since 1/2 is divinding
HELLLLLLLLLLLLLPPPPPPPPPP
The first option. 100% correct.
[tex]a_n = 3\cdot a_{n-1}\\\\a_1 = 7\\\\a_2 = 3 a_{2-1} =3a_1 = 3(7) =21\\\\a_3 = 3 a_{3-1} =3a_2 = 3(21) = 63 \\\\a_4 = 3 a_{4-1} = 3 a_3 = 3 (63)=189\\\\7,21,63,189,......[/tex]
someone please help me! the question is 18.
25)
Find the measure of each lettered angle.
The diagram is not drawn to scale.
Answer:
The Diagram is not showing
Step-by-step explanation: