The slope of an angle 30 which in the positive x direction is tanФ = tan30= 1/√3
Slope:
Slope describes the steepness of a line and it also remains constant with the line it also gives us information about the direction. If the slop is negative then the line will be in the negative x-axis if the slop is positive the line will be in the positive x-direction.
A slope of a line is the change in the y coordinate w.r.t the change in the x coordinate.
m = Δy/Δx
m=tan θ = Δy/Δx
m=tan 30 = 1/[tex]\sqrt{3}[/tex]
Therefore the slope of a line that makes an angle of 30 with the positive x direction will be 1/√3
Learn more about slope:
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A PQR is reflected over the x-axis. What are the
coordinates of O'?
у.
8
(-8,2)
2
(8,-2)
-8
-6
-2
0
2
6
8
-2
(-6,5)
8
(6,-5)
(c) The annual membership fee in 2013 is $198 for each adult and $75 for each child.
Adult = 440 members
Children = 120 members
(i) Calculate the total amount the 560 members pay in 2013.
(ii) The adult fee of $198 in 2013 is 5.6% more than the fee in 2012.
Calculate the adult fee in 2012.
Answer:
i ) $96120
ii ) Singular adult fee in 2012: $186.91
Step-by-step explanation:
( i )
To find the costs of all 560 peoples you:
Multiply the amount of people by the fee,
440 × 198 = $87120
120 × 120 = $9000
Add these go get the sum of member fees: $96120
( ii )
First calculate what 1% of the adult fee would be:
198 ÷ 100 = 1.98 = 1%
Then calculate what 0.1% of the fee:
1.98 ÷ 10 = 0.198 = 0.1%
Now multiply 5 by the value of 1% to get 5% :
5 × 1.98 = 9.9
Then multiply 6 by the 0.1% to get 0.6% :
0.198 × 6 = 1.188
Add these numbers together to get:
1.188 + 9.9 = $11.088 = 5.6%
Due to the fact this question is referring to money we will round this number 2 decimal places (as money does not exceed 2dp)
$11.09
We now subtract this from the 2013 fee to find out the 2012 fee
$198 - $11.09 = $186.91
$186.91 was the cost of a singular adult fee in 2012
in 2010. 465 students went to a certain school. In 2014, 372 students went to the same school. By what percent did the number of students decrease?
Answer:
20%
Step-by-step explanation:
465 - 372 = 93
93/465 = 0.2
0.2 × 100 = 20
Hope this helps !
3.
Which equation is an identity?
A. –3y + 3 = –3y – 6
B. 9 – (2v + 3) = –2v – 6
C. 3w + 8 – w = 4w – 2(w – 4)
D. 7m – 5 = 8m + 7 – m
Answer:
i think B but I’m not 100% sure lol
Step-by-step explanation:
Here’s what I found on this app
3w + 8 - w = 4w - 2(w - 4)
2w + 8 = 4w - 2w + 8
2w + 8 = 2w + 8
0 = 0
Answer: C. 3w + 8 – w = 4w – 2(w – 4)
Identity equations are equations that are true no matter what value is plugged in for the variable. If you simplify an identity equation, you'll ALWAYS get a true statement. Learn about identity equations in this tutorial, and then create your own identity equation.
Step-by-step explanation: Algebra.com
a. 11 - (2v + 3) = -2v - 8
Simplify
11 - 2v - 6 = -2v - 8
5 - 2v = -2v - 8
Add 3v to both sides
5 = -8
That's false, so it is not an identity.
b. 5w + 8 - w = 6w - 2(w - 4)
Simplify
4w + 8 = 6w - 2w + 8
4w + 8 = 4w + 8
That's exactly the same on both sides, so it's
an identity.
c. 7m - 2 = 8m + 4 - m
7m - 2 = 7m + 4
Subtract 7m from both sides:
-2 = 4
That's false, so it is not an identity.
d. 8y + 9 = 8y - 3
Subtract 8y from both sides:
9 = -3
That's false, so it is not an identity.
I NEED HELP PLZ THANK U BESTIES MUAH MUAH MUAH
Answer:
[tex]\frac{0+2}{3+1}[/tex]
Step-by-step explanation:
so basically we all know the formula for slope is [tex]\frac{x2-x1}{y2-y1}[/tex]. since the numbers are labeled, just plug them into their spots!
Answer:
b (-2)
Step-by-step explanation:
because the solution is y2-y1 over x2-x1 so you plug in the number that your Miss
Q Search CR FSA Review - EE 11 and EE 2.4 (Intensive Mathematics - Period 3) Close Question Trina increased the water in her new backyard fish pond by forty gallons and needs to add more. Her pond can hold a maximum of 256 gallons. Her garden hose can add 48 gallons of water in 2 minutes. Write an inequality in terms of m to represent the number of minutes Trina can run the water hose to add more water to the pond without adding the maximum amount in case of rain. A 7 B. 7.5 C. 8 D. 9.75 E 10.3 < 11:18 AM 4/23/2021 hp
Answer:
work hard k
Step-by-step explanation:
The number of minutes Trina can run the water hose to add more water to the pond without adding the maximum amount in case of rain is 24m < 256
What is an inequality?An inequality is an expression that shows the non equal comparison of two or more numbers and variables.
Let m represent the number of minutes Trina can run the water hose to add more water to the pond without adding the maximum amount in case of rain.
Hence:
(48/2)m < 256
24m < 256
The number of minutes Trina can run the water hose to add more water to the pond without adding the maximum amount in case of rain is 24m < 256
Find out more on inequality at: https://brainly.com/question/24372553
Each week, Joe earns $75 for tutoring plus $17.50 for each additional hour he tutors. His friend, Maddie earns $56 for tutoring plus $19.50 for each additional hour she tutors. Write an expression that represents the total they make altogether after tutoring for t hours.
Answer:
$75 + $17.50t
$56 + $19.50t
Step-by-step explanation:
Let us assume the number of hours be t
Now according to the equation
For Joe
= $75 + $17.50t
And, for Maddie
= $56 + $19.50t
The expression that represents the total is as
$75 + $17.50t
$56 + $19.50t
Hence, the above represent the answer and the same is relevant
Complete the equations.
look at photo
Answer:
25.8
258.
2580.
Step-by-step explanation:
just move the decimal that many times
Answer:
25.8
258
2580
Step-by-step explanation:
10 to the power of 2 is 100
10 to the power of 2 is 1000
10 to the power of 4 is 10000
100 * 0.258
1000 * 0.258
10000 * 0.258
Use the Subtraction Property of Equality to complete the following statement:
If 10x+6 - 21, then____=15
A.) 10x - 6
B.) 10x + 6
C.) 10x
D.) 1.5
Answer:
Assuming the question is "If 10x+6 = 21" with an equation sign in place of the subtraction:
C.) 10x
Step-by-step explanation:
10x + 6 = 21
10x + 6 - 6 = 21 - 6
10x = 15
what is the geometric mean between 7 and 12
Answer:
Geometric Mean = 9.17
Step-by-step explanation:
Here,
a = 7
b = 12
Geometric mean = root(ab)
= root( 7 x 12)
= root(84)
= 9.17
Find the missing angle please help
Answer:
saw this question on egde its b
1. Find the missing side for each triangle. Show all work.
Answer:
a. x ≈ 3.72b. x ≈ 8.08c. x ≈ 3.94Steps:
a.
x = 7×tan(28)
x = 7×0.531..
x ≈ 3.72
b.
x = 7/cos(30)
x = 7/0.86..
x ≈ 8.08
c.
x = 6×sin(41)
x = 6×0.65..
x ≈ 3.94
In a school of 464 students, 89 students are in the band, 215 students are on sports teams, and 31 students participate in both activities. How many students are involved in neither band nor sports?
A.160 students
B.191 students
C.249 students
D.433 students
Answer:
191 students B option is correct
Step-by-step explanation:
Total students=464
In band=89
sports teams=215
Number of students who participates in activities is
215+89=304
31 participate in both activities so,
304-31=273
273 who participate in activities
Total students-273=Not involved in any activity
464-273=191
g2 + 23 when g = 6??? help
Help me solve this pls
Answer:
[tex] \frac{x - 10}{8} [/tex]
Step-by-step explanation:
[tex] \frac{3x}{8} - \frac{x + 5}{4} [/tex]
The common denominator of both fractions is 8. Therefore,, divide the denominator of each fraction, then multiply what you get by the numerator of each fraction.
Thus:
[tex] \frac{1(3x) - 2(x + 5)}{8} [/tex]
[tex] \frac{3x - 2x - 10}{8} [/tex]
[tex] \frac{x - 10}{8} [/tex]
The graph below shows the path of a submarine
What is the range of this function?
a) 0
b)-300 ≤ y ≤ 0
c)0 ≤ y ≤ 80
d)-300
Answer:
b
Step-by-step explanation:
a submarine cant go above 0 and it shows on the graph the lowest it will go is -300
Pls help me I need some help
Answer:
THIS IS SO EASY JUST OPEN YOUR BRAIN AND DO IT THIS IS LIKE 2nd GRADE CMON!!!!
Step-by-step explanation:
Answer: I’m am not sure but i think it is 126
Step-by-step explanation:
2(x - 3) = 2x + 5? Need Help Now
Answer: it has no solutions
Step-by-step explanation:
if im wrong i owe u
2(x - 3) = 2x + 5 distribute by multiply 2 into the parenthesis.
2x - 6 = 2x + 5
-2x -2x subtract 2x on both sides, 2x's will cancel on both sides.
____________
-6 = 5
Since -6 = 5, there is no solution because -6 cannot equal to 5, which is a false statement. Thus, "C. There is no solution." is the correct answer. Hope this helps :)
I tried doing this on my own but the answers I get don’t match
Answer:
73/79
Step-by-step explanation:
First find the precent if it is a decimal round. In this case they want you to find the decimal of each answer and mach it with your decimal.
(6x2 - 2x) + (5x-7)
A. 30x3 - 52x2 + 14x
B. 6x2 - 7x+7
c. 11x2 - 9x
D. 6x2 + 3x - 7
Answer:
The answer is D
Bill plans to save for a pair of headphones that are 89.00.The sales tax rate is 8% how much will bill need to save
Answer: 96.12
Step-by-step explanation:
The amount that Bill will need to save will be for the cost of the headphones and the sales tax that will be applied. This will be:
= 89 + (8% × 89)
= 89 + (0.08 × 89)
= 89 + 7.12
= 96.12
Therefore, Bill will need to save 96.12.
The perimeter of a square is 109.8 square inches. what is the length of one square? A 2.74 in B 10.98 in C 25 in D 27.45 in
Answer:
B
Step-by-step explanation:
SOlve it
LeBron keeps track of events in his life relative to the year he was born. Relative to when he was born, his brother was born in year −3, and his family moved in year 7.
Which one of the following inequalities correctly compares the relative years?
Choose 1 answer:
(Choice A)
-3 > 7
(Choice B)
7 > -3
Which one of the following descriptions is correct?
Choose 1 answer:
(Choice A)
LeBron's family moved after his brother was born.
(Choice B)
LeBron's brother was born after his family moved.
Answer:
B then A
Step-by-step explanation:
Just easy
Answer:
first is A
then is B
Step-by-step explanation:
your welcome
16 feet = ? meters ?
Answer:
0.3048
Step-by-step explanation:
0.3048
Answer:
4.88 meters
Step-by-step explanation:
1 foot is approximately 0.3048 meters. 16(0.3048)= 4.88 meters (rounded to the nearest hundreth).
Hope this helped!
Can anyone help me with this question please
I’ll mark you as a brainliest.
No links though .
Answer:
The answer is D
Step-by-step explanation:
Don't worry, no links here :)
i need hel asap Find the total surface area of the triangular prism.
Select one:
116.42
178.42
135.42
123.42
Answer:
is there are picture you attach
Solve for y: -5y + 6 = 16
Answer:
y= -2
Step-by-step explanation:
Answer:
[tex]y=2[/tex]
Step-by-step explanation:
Well first move the 6 to the right side to isolate the y by taking 6 away from both sides to get [tex]-5y=10[/tex]. Then divide both sides by -5 to get [tex]y=2[/tex]. Hope this helps!
Pls mark brainliest!Find the measure of angle y in the following figure.
Answer:
[tex]50^{o}[/tex]
Step-by-step explanation:
90 + 40 = 130
180 - 130 = 50
If Susie can make 2 shirts in 5 hours and Joe can make 3 shirts in 5 hours, which one has the greater unit rate?
Answer:
Joe
Step-by-step explanation:
3 shirts / 5 hours is bigger than 2 shirts / 5 hours
Answer:
Joe has a higher unit rate
Step-by-step explanation:
please brainliest I was the first answer
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