A 200-degree angle is between 180 and 270 degrees, so the terminal side is in QIII.
Do the operation indicated for that quadrant. Subtract 180 degrees from the angle, which is 200 degrees.
You find that 200 – 180 = 20, so the reference angle is 20 degrees.
hope this helped!
o(*￣▽￣*)ブ
Translate the sentence into an equation.
The sum of 2 times a number and 3 equals 7.
Use the variable b for the unknown number.
=================================================
Work Shown:
b = unknown number
2b = 2 times a number
2b+3 = the sum of 2 times a number and 3
2b+3 = 7, since the expression above is set equal to 7
The equation represents the given algebric phrase is 2b + 3 = 7 and that number will be 2.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
As per the given phrase,
The sum of 2 times a number and 3 equals 7.
2 times b = 2b
The Sum of 2b with 3 equal to 7 will be 2b + 3 = 7
2b = 7 - 3
2b = 4
b = 4/2 = 2
Hence"The equation represents the given algebric phrase is 2b + 3 = 7 and that number will be 2".
For more about the equation,
https://brainly.com/question/10413253
#SPJ2
a pitcher can hold 8 times as much as a glass. the pitcher holds 64 ounces which model shows this comparison.
Answer:
A model that shows a pitcher holding 8 times the amount of a glass
Step-by-step explanation:
I would need a picture of the models, but I think I can still help.
Any model that shows a pitcher holding 8 times as much as a glass is the correct model. Be sure to read carefully so you pick the right model.
The equation y = 8x shows the relationship between the holding capacity of the pitcher and glass, and x = 64/8 shows the total amount held by the glass.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Let's suppose the pitcher can hold x ounces
And the glass can hold y ounces
From the given problem:
y = 8x
The above equation modeled the relationship between the holding capacity of the pitcher and glass.
If y = 64
Then x = 64/8 = 8 ounces
Thus, the equation y = 8x shows the relationship between the holding capacity of the pitcher and glass, and x = 64/8 shows the total amount held by the glass.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
Part of a line Has two endpoints and includes all of the
points in between
a) Point
b) Angle
c) Line segment
d) Line Segment
Answer:
C or D
Step-by-step explanation:
It is a line segment but C and D are the exact same in the question you provided.
The part of a line that has two endpoints and includes all of the line segment
What is a line segment?A line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints
You can draw a line by locating any two point in space and then connecting them together.
Based on the explanation we can conclude that part of a line that has two endpoints and includes all of the line segment
Learn more on line segment here: https://brainly.com/question/18315903
3x+5x=8 [tex]3x+5x=8[/tex]
Answer:
x = 1
Step-by-step explanation:
Given
3x + 5x = 8 ← collect like terms on left side
8x = 8 ( divide both sides by 8 )
x = 1
3.5+0.86 divided by 2
Answer:
2.18
Step-by-step explanation:
The perimeter of a semicircle is 123.36 metres. What is the semicircle's area?
|-12-(-8)|= simply expression
* Required
Farmer Joe separates his apple tree farm into 10 regions. He counts the number
of apples produced in two of the regions and uses that estimate to predict the
number of apples produced on the whole farm. This is sampling. *
simple
stratified
cluster
systematic
Systematic
Got it right on test
The information depicted is an example of cluster sampling.
From the information given, Farmer Joe separates his apple tree farm into 10 regions and then counts the number of apples that are produced in two of the regions and uses that estimate to predict the number of apples produced on the whole farm, this illustrates cluster sampling.
Cluster sampling is when researchers divide a population into smaller groups that are called clusters and then randomly select from the population.
Read related link on:
https://brainly.com/question/17255201
what is the missing length.
Answer:
[tex] KS = 12 [/tex]
Step-by-step explanation:
Given that ∆KLM ~ ∆RSK, [tex] \frac{KL}{KR} = \frac{KM}{KS} [/tex] (similarity theorem)
KL = 65
KR = 65 - 52 = 13
KM = 60
KS = ?
[tex] \frac{65}{13} = \frac{60}{KS} [/tex]
Cross multiply
[tex] 65*KS = 60*13 [/tex]
[tex] 65*KS = 780 [/tex]
[tex] \frac{65*KS}{65} = \frac{780}{65} [/tex]
[tex] KS = 12 [/tex]
if the sides of a square measure 10 square root 6 units then find the length of the diagonal
Answer:
Length of the diagonal = 20√3 units
Step-by-step explanation:
Given:
Side of square = 10√6 units
Find:
Length of the diagonal
Computation:
Using Pythagorean theorem.
Length of the diagonal = √2(a)²
Length of the diagonal = √2(10√6)²
Length of the diagonal = √1200
Length of the diagonal = 20√3 units
Investing money in a retirement fund is part of a plan for achieving______
a. Immediate goals
b. Long term goals
c. Short term goals
d. Unrealistic goals
Answer:
B
Step-by-step explanation:
I really need help if anyone can help me plz help me right away
Answer:
C. g(x) = 4x²
Step-by-step explanation:
The function g(x) has a point (1,4) on its graph
Just plug in the values of x and y and see which of the options correct
A..............
g(x) =(4x)²4 = (4*1)²4 = 16Incorrect
B..............
g(x) = 1/4x²4 = 1/4*1²4 = 1/4Incorrect
C...............
g(x) = 4x²4 = 4*1²4 = 4Correct
D..............
g(x) = 16x²4 = 16*1²4 = 16Incorrect
ASAPPP How do I explain what's the difference in the meaning of the "+1" in the following equations: f(x)=2x^2+5x+1. and g(x)=2(x+5)^2+1 ??????
Answer:
The +1 in f(x) is the y intercept
The +1 in g(x) is the y coordinate of the vertex
Step-by-step explanation:
For f(x), plugging in x = 0 leads to
f(x) = 2x^2+5x+1
f(0) = 2(0)^2+5(0)+1
f(0) = 1
Showing that (0,1) is the y intercept of f(x).
The same is not true for g(x)
g(x) = 2(x+5)^2+1
g(0) = 2(0+5)^2+1
g(0) = 51
-------------------------------
The +1 for g(x) represents the y coordinate of the vertex. Recall that vertex form in general is
y = a(x-h)^2+k
with (h,k) being the vertex. This means we can quickly spot the vertex for g(x) without having to graph. The same cannot be said for f(x) as we need to complete the square to get f(x) into vertex form. Currently, f(x) is in standard form.
What would this be for EBA
Answer:
25°
Step-by-step explanation:
180-130=50
50÷2=25°
Stephen is tracking how many words per minute (wpm) he reads for reading class. He is now at
112 wpm, and each week he hopes to increase
his speed by 8 words per minute.
Equation: w = 112 + 8t
t = time (weeks)
w = wpm
How many weeks will it take Stephen to reach
176 wpm?
Answer:8 weeks
Step-by-step explanation:
Answer:
Column 1 label:
✔ t
Column 2 label:
✔ 112 + 8t
Column 3 label:
✔ w
Column 4 label:
✔ (t, w)
Step-by-step explanation:
edge20
Stephen is tracking how many words per minute (wpm) he reads for reading class. He is now at 112 wpm, and each week he hopes to increase his speed by 8 words per minute.
Equation: w = 112 + 8t
t = time (weeks)
w = wpm
Label the columns for the table
Column 1 label:
✔ t
Column 2 label:
✔ 112 + 8t
Column 3 label:
✔ w
Column 4 label:
✔ (t, w)
2. A woman travelled from Lagos to Ondo a distance of 350km. Her average speed on the outward journey was ykm. On the return journey, her average speed was 10km/hr faster and therefore she completed the return journey 37.5minutes earlier. Find A. The value of y B. Get average speed on the return journey in km/hr C. The total time taken for the whole journey in hrs. Good luck
Answer:
70 km/h
9 hr 22.5 min
Step-by-step explanation:
Given
Distance = 350 kmSpeed = yReturn speed = y + 10Time difference on return = 37.5 min = 37.5/60 hr = 5/8 hrDifference in time as equation:
350/y - 5/8 = 350/(y+10)(8*350 -5y)/8y = 350/(y+10)(y+10)(560 - y)= 8y*70560y - y² +5600 - 10y = 560yy² + 10y - 5600=0y = (-10 ± √(100 +4*5600))/2y = (-10 ±150)/2y= 70 y = -80 not considered as negative valueAverage speed was 70 km/h
Total time = 350/70 + 350/(70+10) = 5 + 4.375 = 9.375 hr = 9 hr 22.5 min
Kim can mow the greens at the golf course twice as fast as I can. Working together, we can mow them in 4 hours. How long will it take me to mow the greens alone?
Answer:
12 hours
Step-by-step explanation:
Let x hours be the time it will take you to mow the greens at the golf course.
Since Kim can mow twice as fast, it will take Kim x / 2 hours to mow the greens.
In 1 hour, you will mow 1 / x of the greens
in 1 hour, Kim will mow 1 / (x / 2) of the greens= 2 / x of the greens
In 4 hours, you will mow 4 * 1 / x of the course = 4 / x of the greens
In 4 hours, Kim will mow 4 * 1 / (x / 2) of the course = 4 / (x / 2) = 8 / x of the greens.
Since we are dealing in fraction, the sum of the amount of greens that they would individually mow in 4 hours should be 1. i.e
(4 / x) + (8 / x) = 1
12 / x = 1
Solve for x;
x = 12
Therefore, it will take you 12 hours to mow the greens alone.
HELPPp me asap please I'm hopeless
The arithmetic progressions [tex]\{2, 5, 8, 11, \ldots\}[/tex] and[tex]3, 10, 17, 24, \ldots \}[/tex] have some common values. What is the largest value less than 500 that they have in common?
=================================================
Work Shown:
We have two sequences, which we'll call A and B
A = {2,5,8,11,14, 17 ,20,23,26,29,32,35, 38, 41,44,47,50,53,56, 59 ,62...}B = {3,10, 17 ,24,31, 38 ,45,52, 59 , 66...}Both sequences are arithmetic. The first sequence starts at 2, and increases by 3 each time. Sequence B starts at 3 and increases by 7 each time.
The terms in bold are what the two sequences have in common.
-----------
It turns out that the bold terms follow an arithmetic sequence of their own.
The sequence {17, 38, 59, ...} is arithmetic.
Call this sequence C. This sequence starts at 17 and increases by 21 each time. The nth term for sequence C is
C(n) = a+d(n-1)
C(n) = 17+21(n-1)
C(n) = 17+21n-21
C(n) = 21n-4
Plugging in n = 1 leads to C(n) = 17. Also, plug in n = 2 and you should get C(n) = 38. Plugging in n = 3 leads to C(n) = 59. And so on.
-----------
The question is now "what is the largest term in sequence C such that it is less than 500?".
In other words, we want to find the term C(n) where C(n) < 500 and C(n) is as large as possible.
Use a bit of algebra to get
C(n) < 500
21n - 4 < 500
21n < 500+4
21n < 504
n < 504/21
n < 24
So n must be smaller than 24 to get what we want.
Because n is a natural number (positive whole number), we drop to n = 23 to find that
C(n) = 21n-4
C(23) = 21(23)-4
C(23) = 479
The largest value, less than 500, the two original sequences have in common is 479.
If we didn't have the restriction "less than 500", then there would be no largest value as sequence C goes on forever.
Answer:
467
Step-by-step explanation:
We have two sequences, which we'll call A and B
A = {2,5,8,11,14, 17 ,20,23,26,29,32,35, 38, 41,44,47,50,53,56, 59 ,62...}
B = {3,10, 17 ,24,31, 38 ,45,52, 59 , 66...}
Both sequences are arithmetic. The first sequence starts at 2, and increases by 3 each time. Sequence B starts at 3 and increases by 7 each time.
The terms in bold are what the two sequences have in common.
-----------
It turns out that the bold terms follow an arithmetic sequence of their own.
The sequence {17, 38, 59, ...} is arithmetic.
Call this sequence C. This sequence starts at 17 and increases by 21 each time. The nth term for sequence C is
C(n) = a+d(n-1)
C(n) = 17+21(n-1)
C(n) = 17+21n-21
C(n) = 21n-4
Plugging in n = 1 leads to C(n) = 17. Also, plug in n = 2 and you should get C(n) = 38. Plugging in n = 3 leads to C(n) = 59. And so on.
-----------
The question is now "what is the largest term in sequence C such that it is less than 500?".
In other words, we want to find the term C(n) where C(n) < 500 and C(n) is as large as possible.
Use a bit of algebra to get
C(n) < 500
21n - 4 < 500
21n < 500+4
21n < 504
n < 504/21
n < 24
So n must be smaller than 24 to get what we want.
Because n is a natural number (positive whole number), we drop to n = 23 to find that
C(n) = 21n-4
C(23) = 21(23)-4
C(23) = 479
The largest value, less than 500, the two original sequences have in common is 479.
If we didn't have the restriction "less than 500", then there would be no largest value as sequence C goes on forever.We have two sequences, which we'll call A and B
A = {2,5,8,11,14, 17 ,20,23,26,29,32,35, 38, 41,44,47,50,53,56, 59 ,62...}
B = {3,10, 17 ,24,31, 38 ,45,52, 59 , 66...}
Both sequences are arithmetic. The first sequence starts at 2, and increases by 3 each time. Sequence B starts at 3 and increases by 7 each time.
The terms in bold are what the two sequences have in common.
-----------
It turns out that the bold terms follow an arithmetic sequence of their own.
The sequence {17, 38, 59, ...} is arithmetic.
Call this sequence C. This sequence starts at 17 and increases by 21 each time. The nth term for sequence C is
C(n) = a+d(n-1)
C(n) = 17+21(n-1)
C(n) = 17+21n-21
C(n) = 21n-4
Plugging in n = 1 leads to C(n) = 17. Also, plug in n = 2 and you should get C(n) = 38. Plugging in n = 3 leads to C(n) = 59. And so on.
-----------
The question is now "what is the largest term in sequence C such that it is less than 500?".
In other words, we want to find the term C(n) where C(n) < 500 and C(n) is as large as possible.
Use a bit of algebra to get
C(n) < 500
21n - 4 < 500
21n < 500+4
21n < 504
n < 504/21
n < 24
So n must be smaller than 24 to get what we want.
Because n is a natural number (positive whole number), we drop to n = 23 to find that
C(n) = 21n-4
C(23) = 21(23)-4
C(23) = 479
The largest value, less than 500, the two original sequences have in common is 479.
If we didn't have the restriction "less than 500", then there would be no largest value as sequence C goes on forever.
The weight of a full steel bead tire is approximately 800 grams, while a lighter wheel weighs only 700 grams. What is the weight of each tire in pounds? There are 453.592 grams in one pound. Round answers to 2 decimal places.
Answer:
1.54 and 1.7 I believe
Step-by-step explanation:
Answer:
The full steel tire is 1.76 pounds and the lighter wheel is 1.54 pounds
Step-by-step explanation:
To find how many pounds each tire is, divide the weight in grams by 453.592
Full steel tire:
800/453.592 = 1.76 pounds
Lighter wheel:
700/453.592 = 1.54 pounds
So, the full steel tire is 1.76 pounds and the lighter wheel is 1.54 pounds
Please solve ASAP, 3k+16=9+6x? and show ur work please?
Answer:
[tex]\Large \boxed{k=2x + \frac{-7}{3}} \\ \\ \\ \Large \boxed{x=\frac{1}{2} k+\frac{7}{6}}[/tex]
Step-by-step explanation:
Solving for k:
[tex]\sf 3k+16=9+6x[/tex]
Subtracting 16 from both sides.
[tex]\sf 3k=6x-7[/tex]
Dividing both sides by 3.
[tex]\displaystyle \sf k=2x + \frac{-7}{3}[/tex]
Solving for x:
Flipping the original equation.
[tex]\sf 6x+9=3k+16[/tex]
Subtracting 9 from both sides.
[tex]\sf 6x=3k+7[/tex]
Dividing both sides by 6.
[tex]\sf \displaystyle x=\frac{1}{2} k+\frac{7}{6}[/tex]
Select the correct answer from each drop-down menu. Simplify. the square root of 64. I don't understand square root so if anyone could tell me how to do square root that would help.
Hey there! I'm happy to help!
Squaring a number is when you multiply it by itself. You represent this with an exponent, which is a little number above the number that you multiply by itself. When you square a number, this exponent is two.
1²=1
2²=4
3²=9
4²=16
5²=25
6²=36
7²=49
8²=64
9²=81
10²=100
The square root is basically just doing this backwards. It is finding the number that can be multiplied by itself to equal that number. You represent this with the √ symbol.
√1=1
√4=2
√9=3
√16=4
√25=5
√36=6
√49=7
√64=8
√81=9
√100=10
We know that 8 multiplied by itself is equal to 64. This means that the square root of 64 is 8.
I hope that this helps you out! Have a wonderful day! :D
Last year singer a performed for more than two times as many shows during concert tours then Team B. The number of singer a concert tour exceeded the number of shows by team B by 19. How many concert shows did each perform?
Answer:B = 18, A = B + 23 = 18+23 = 41.
Step-by-step explanation:Last year . . .
A = 2B + 5 (1)
The number . . .
A = B + 23. (2)
Equations (1) and (2) have the same left sides --- hence, their right sides are equal :
2B + 5 = B + 23.
It implies
2B - B = 23 - 5
B = 18.
ANSWER. B = 18, A = B + 23 = 18+23 = 41.
Triangle ABC has vertices A(4, 5), B(0, 5), and C(3, –1). The triangle is translated 3 units to the left and 1 unit up. What are the coordinates of B' after the translation?
Answer:
[tex]B' = (-3,6)[/tex]
Step-by-step explanation:
Given
[tex]A(4,5)[/tex]
[tex]B(0,5)[/tex]
[tex]C(3,-1)[/tex]
Translation: 3 units left and 1 unit right
Required
Determine the new coordinates of B
Write out the coordinates of B
[tex]x = 0[/tex]
[tex]y = 5[/tex]
When a function is shifted to the left, we have to subtract the unit from the x value of the function;
Shifting by 3 units left, the new x becomes
[tex]New\ x = 0 - 3[/tex]
[tex]New\ x = -3[/tex]
When a function is shifted upward, we have to add the unit to the y value of the function;
Shifting by 1 unit up, the new y becomes
[tex]New\ y = 5 + 1[/tex]
[tex]New\ y = 6[/tex]
Hence, the new coordinates of B is
[tex]B' = (-3,6)[/tex]
Answer:
B: (-3,6)
Step-by-step explanation:
just got it right
A line segment has a length of approximately 10cm. If a compass is set to a width of 9cm, will it still be possibly to bisect the line segment?
Answer: Yes it is possible to bisect the given segment
The compass width (9) is over half of the segment length (10), so we can form the arcs needed to get the perpendicular bisector.
please explain a 2 column proof
Answer:
2 column proof is a logical argument consisting of statements and the reasons to show why those statememts are true.
Step-by-step explanation:
If ya varies directly with x , and y =-12 when x =6 , find x when y =-4
Answer:
x = 2
Step-by-step explanation:
Hello!
Since y varies directly with x what happens to y also happens to x
From y = -12 to y = -4 you divide by 3 so we do that to x
6 / 3 = 2
The answer is 2
Hope this helps!
Please please please please please help me I really need this
Answer:
10x² + -18
Step-by-step explanation:
g(f(x)) means you substitute 2x²-5 for every occurrance of x in g(x).
g(f(x)) = 5(2x²-5) + 7 = 10x² - 25 + 7 = 10x² - 18 = 10x² + -18
Katie walks 2 ft forward and 5 ft backwards. Find her displacement traveled.
Step-by-step explanation:
It is given that, Katie walks 2 ft forward and 5 ft backwards. We need to find her displacement traveled.
The difference between final position and the initial position is equal to displacement. It is the shorted path covered.
Let forward is +x and backward is -x
Initial position of Katie = +2 ft
Final position of Katie = -5 ft
Displacement = final position - initial position
= -5 - 2
Displacement = -7 ft
So, her displacement is 7 feet in backward direction.
which decimal number best describes a fraction 79/6
Answer:
13.2
Step-by-step explanation:
We just divide 79/6 which is equal to 13.1666667 which we can round to 13.2
Answer:
13.166667 best describes the fraction 79/6
34− 6 × 3+ 78 pemdas
Answer:
94
Step-by-step explanation:
PEDMAS
[tex]34 - 6 \times 3 + 78 \\ 34 - 18 + 78 \\ 34 + 60 \\ = 94[/tex]
Step 1 : Multiplication :
-6×3 =-18
Step 2: Addition: -18+78 = +60
Step 3: Addition : 35+60
= 94
Answer:
62
Step-by-step explanation:
Cause first is multiply 6x3 =18 so next you add 18+78 =96 then Subtract 96 -34 =62