The angle of 19π/4 with coterminal will be 3π/4.
What is a coterminal angle?Angles with identical starting and final sides are referred to as equal probability of being chosen angles.
An angle between 0 and 2π that is coterminal with the given angle of 19π/4 will be
→ 19π/4 - 2π
→ 11π/4
Then do it again, we have
→ 11π/4 - 2π
→ 3π/4
More about the coterminal angle link is given below.
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A tractor, starting from a stationary position, drives down the road. It accelerates at 4 m/s2 for 10 seconds, then travels at a steady pace for another 30 seconds. How much distance has it covered since it started driving?
A. 1,550 m
B. 1,400 m
C. 200 m
D. 1,200 m
Answer:
B. 1400 meters.
Step-by-step explanation:
According to the statement, there are two stages for the motion of the tractor, in which we need to find the travelled distance:
(i) Uniform accelerated motion.
[tex]s_{i} = s_{o,i} +v_{o,i}\cdot t_{i} + \frac{1}{2}\cdot a\cdot t_{i}^{2}[/tex] (1)
[tex]v_{i} = v_{o,i}+a\cdot t_{i}[/tex] (2)
Where:
[tex]s_{o,i}[/tex] - Initial position of the tractor, measured in meters.
[tex]s_{i}[/tex] - Final position of the tractor, measured in meters.
[tex]v_{o,i}[/tex] - Initial velocity of the tractor, measured in meters per second.
[tex]t_{i}[/tex] - Time, measured in seconds.
[tex]a[/tex] - Acceleration, measured in meters per square second.
[tex]v_{i}[/tex] - Final velocity of the tractor, measured in meters per second.
(ii) Uniform motion.
[tex]s_{ii} = s_{i} + v_{i}\cdot t_{ii}[/tex] (3)
Where:
[tex]s_{ii}[/tex] - Final position of the tractor, measured in meters.
[tex]t_{ii}[/tex] - Time, measured in seconds.
The distance covered by the tractor ([tex]\Delta s[/tex]), measured in meters, is:
[tex]\Delta s = s_{ii}[/tex] (4)
If we know that [tex]a = 4\,\frac{m}{s^{2}}[/tex], [tex]t_{i} = 10\,s[/tex], [tex]v_{o,i} = 0\,\frac{m}{s}[/tex], [tex]s_{o,i} = 0\,m[/tex] and [tex]t_{ii} = 30\,s[/tex], then distance covered by the tractor is:
By (1) and (2):
[tex]s_{i} = 0\,m + \left(0\,\frac{m}{s} \right)\cdot (10\,s)+ \frac{1}{2}\cdot \left(4\,\frac{m}{s^{2}} \right) \cdot (10\,s)^{2}[/tex]
[tex]s_{i} = 200\,m[/tex]
[tex]v_{i} = \left(0\,\frac{m}{s} \right)+\left(4\,\frac{m}{s^{2}} \right)\cdot (10\,s)[/tex]
[tex]v_{i} = 40\,\frac{m}{s}[/tex]
By (3):
[tex]s_{ii} = 200\,m + \left(40\,\frac{m}{s} \right)\cdot (30\,s)[/tex]
[tex]s_{ii} = 1400\,m[/tex]
By (4):
[tex]\Delta s = 1400\,m[/tex]
The correct answer is B.
Calculate the area of a rectangle with side lengths of 9
yards and 3 yards.
Answer:
Isn't it length x width? 9 x 3 = 27 is the area
Step-by-step explanation:
Which statement about this system of equations is true?
Answer:
A the system has no solution
Step-by-step explanation:
Answer:
A - because lines are parallel
Step-by-step explanation:
The team won 10 of its 30 games and lost the rest. What was the team's win-loss ratio?
Answer:
10:20
Step-by-step explanation:
Kate qualifies for a total of $9,450 in scholarships and grants per year, and she will earn $2,900 each year through a work-study program. If Kate has 4 years to save the amount she needs for her first year of college, how much should she save each month?
Answer:
452
Step-by-step explanation:
Please help!!!
I’m so confused
Will mark brainliest
Answer:
y = -2/3x - 1
Step-by-step explanation:
First, find the slope so you can see that when x goes up by 3, y goes down by 2. This means that the slope is -2 divided by 3, or -2/3.
You can see in the picture that the y-intercept is at the point (0, -1).
That means the equation would be y = -2/3x - 1
Combine like terms to write an equivalent expression for 4y + 6x - 2y + 12x.
Answer:
2y + 18x
Step-by-step explanation:
Combine like terms.
4y - 2y + 6x + 12x = 2y + 18x
Answer:
Step-by-step explanation:
18x+-2y
Natalie uses a 15% off coupon when she buys a camera. The original price of the camera is $45.00. How much money does Natalie save by using the coupon.?
Answer:
She saves $6.75.
Step-by-step explanation:
$45.00x15%=$6.75
What is the area of a circle?
Answer:
We need more information than that.
Step-by-step explanation:
Answer:
??? It’s A= Ar 2
Step-by-step explanation:
There were 3 adults and 9 children on the bus. What was the ratio of children to adults? Enter your answer in reduced form. i know the awnser to this but how do you write it out?! like this? "9:3" or like this "9/3" ?!?!?!? please help!!
Perform the operation. Write your answer in scientific notation.
(2×10^4)(5.4×10^6) =
Answer:
[tex](2 \times {10}^{4} )(5.4 \times{10}^{6} ) \\ = 2 \times 5.4 \times {10}^{(4 + 6)} \\ = \boxed{ 10.8 \times {10}^{10} }[/tex]
10.8×10¹⁰ is the right answer.ILL MARK AS BRAINLIEST
Answer:
Circle
Step-by-step explanation:
Every shape appears 4 times except circle.
Answer:
Circle
Step-by-step explanation:
Because 1st one 4 triangles,
2nd one 4 stars,
3rd on 4 diamonds
and last 3 Circles but it should be 4
so the answer is Circle
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Find the exact length of the third side.
60
25
Answer:
a2+b2=c2
32+42=52
9+16=25
25=25
Step-by-step explanation:
Answer:
2.4
Step-by-step explanation:
Need the answer please answer my question
write an absolute value inequality for each graph help please
Answer:
A. |x| ≤ 50
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
Evaluate the function for f(-5)
f(x) = x2 - 5x + 7
(answer choices above)
Help plz I’ll mark Brainly
Answer:x=2; second option
Step-by-step explanation:
120+10x=140
10x=20
X=2
Answer:
x=2
Step-by-step explanation:
triangles are always equal to 180 degrees and lines are also always equal to 180 degrees
we are given 120 degrees
we subtract 140 to get the measure of the angle inside the triangle
40
120+40= 160
180-160
the third angle is 20 degrees
Also please mark brainly I need it
solve the systems of equations via graphing then check the solution in each equation: 4x+6y=18, (y+2)=1/3(x+2)
Answer:
(4 1/3, 1/9)Step-by-step explanation:
Given system
4x + 6y = 18(y + 2) = 1/3(x + 2)Solution is the intersection point:
(4 1/3, 1/9)Simplify the first equation:
2x + 3y = 93y = -2x + 9y = -2/3x + 3Check:
1/9 = -2/3*4 1/3 + 91/9 = -26/9 + 91/9 = (27 - 26)/91/9 = 1/9Simplify the second equation:
y + 2 = 1/3x + 2/3y = 1/3x + 2/3 - 2y = 1/3x - 4/3Check:
1/9 = 1/3*13/3 - 4/31/9 = (13 - 12)/91/9 = 1/9Answer:
see belowStep-by-step explanation:
to understand thisyou need to know about:linear equationgraphing linear equationPEMDASgiven equation:4x+6y=18......(I)
(y+2)=1/3(x+2).......(ii)
let's solve using graph:the picture is attached
got from the picture
[tex]x = 4 \frac{1}{3} \\ y = \frac{1}{9} [/tex]
let's justify the (I) equation
[tex]4(4 \frac{1}{3}) + 6( \frac{1}{9} ) = 18[/tex]
[tex]4( \frac{13}{3} ) +6 (\frac{1}{9}) = 18[/tex]
[tex] \frac{52}{3} + \frac{2}{3} = 18[/tex]
[tex] \frac{52 + 2}{3} = 18[/tex]
[tex] \frac{54}{3} = 18[/tex]
[tex]18 = 18[/tex]
provenlet's justify the ii equation:[tex] \frac{1}{9} + 2 = \frac{1}{3} ( \frac{13}{3} + 2)[/tex]
[tex] \frac{19}{9} = \frac{1}{3} \times \frac{19}{3} [/tex]
[tex] \frac{19}{9} = \frac{19}{9} [/tex]
provena pet store marks up all of their grooming products by 15% of the price, p. write an expression for the retail price
Answer: 0.85p
Step-by-step explanation:
A random number generator is used to create a list of 300 single-digit numbers. Of those 300 numbers, 146 are odd and 154 are even. The number 8 was generated 22 times. What is the experimental probability of an even number other than 8 being generated? Write your answer as a decimal to the nearest hundredths place.
0.23
0.35
0.44
0.52
Answer:
0.44
Step-by-step explanation:
Using it's concept, it is found that the experimental probability of an even number other than 8 being generated is of 0.44.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, out of 300 numbers, 154 are even, 22 are eight, hence 132 are even numbers different of eight, hence the probability is given by:
p = 132/300 = 0.44.
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Jelani has twice as much money on his subway pass as Alexis. If they both add $20 to their passes, Jelani will have 1.5 times as much on his pass as Alexis. Write an equation to represent this situation.
Answer:
since J=2A
2A+20=1.5(A+20)
Step-by-step explanation:
J=2A
2A+20=1.5(A+20)
simplified for proof
J+20=1.5A+30
.5A=10
A=20
J=40
Equation for situation is x - 1.5y = 10, where x is the money of Jelani and y is money of Alexis.
What are linear equations?An algebraic equation with a variable with a highest exponent of one is known as a linear equation. Some linear systems have three equations, but not all linear equations have one, two, or three variables. Generally, an arrangement of straight condition has just a solitary arrangement yet at times, it has no arrangement or boundless number of arrangements.
Given Jelani has twice the money as Alexis,
let Jelani have money be x and Alexis have money be y
according to question x = 2y
and if both add $20 dollar to their pass Jelani will have 1.5 times much than Alexis, so x + 20 = 1.5(y + 20)
simplify x - 1.5y = 10
Hence the equation will be x - 1.5y = 10
Learn more about linear equations;
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Write the equation of a line that would be parallel to the line given.
2
10) y=-2/3x+10
Answer:
y= -2/3x+11
Step-by-step explanation
you just have to change the number without an x
Find the value of n×8 when n =6
Answer:
48
Step-by-step explanation:
6 x 8=48
Can someone pls help me do fhis
Answer:
Step-by-step explanation:
7x-1=8x-14
-7x -7x
-1=x-14
+14 +14
13=x
Can you help me!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
7,525.00
Step-by-step explanation:
What he owns is $23725 (14200+2100+2315+5110) - What he ows $ 16200.
In 2008 Yolanda paid 4873 in social security tax. If the Social Security tax rate was 6.2% to the maximum income and 94,200 that you what was yolandas is taxable income
Answer:
IM A PLAYA FORGIVE ME LOLOL
Answer:
Step-by-step explanation:
taxable income x social security tax rate = social security tax
taxable income x .062(6.2%) = 4873
taxable income = 4873/.062
taxable income = 78596.77
The answer please answer
Answer:
24cm
Step-by-step explanation:
4x3/.5=24
Look at this graph:
100
90
80
70
60
50
40
30
20
10
х
0
10
20
30
40 50 60
70 80 90 100
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
35y + 14y =
please i need help with this asap.
Answer: 35y + 14y = 49y
Step-by-step explanation:
Answer:
this all i got
Step-by-step explanation:
Keshawn is saving up to buy a new bicycle. He already has $100 and can save an additional $6 per week using money from his after school job. How much total money would Keshawn have after 8 weeks of saving? Also, write an expression that represents the amount of money Keshawn would have saved in ww weeks.
Answer:
$742
Step-by-step explanation:
Answer:$148
Step-by-step explanation:
Keyshawn already has 100 in savings so all that needs to be done is multiply 6 by the 8 weeks and add it to 100. Simply:
Money saved in 8 weeks =(6×8)+100
=$148.
Pls do alert me if you find any mistakes in my explanation.
