Answer:
Yes, they are coterminal.
Step-by-step explanation:
Coterminal angles are angles that are in multiples of -360 degrees or +360 degrees away from the initial angle.
Therefore, the easiest way to check if an angle is coterminal is set up an equation.
[tex]x + 117 = 477\\\\360 + 117 = 477\\\\477 = 477 \ \checkmark[/tex]
We get a true statement, which means that 117 is a coterminal angle of 477 and 477 is a coterminal angle of 117.
We can also determine the value in radians.
[tex]\displaystyle117 \times \frac{\pi}{180}\\\\\frac{117\pi}{180} = \frac{13\pi}{20}[/tex]
117° in radians is [tex]\displaystyle\frac{13\pi}{20}[/tex]. Coterminal angles for radians are multiples of [tex]2\pi[/tex], either negative or positive.
However, we also need to determine the value of 477 in radians too.
[tex]\displaystyle477\times\frac{\pi}{180}\\\\\frac{477\pi}{180} = \frac{53\pi}{20}[/tex]
So, if we add [tex]2\pi[/tex] to [tex]\frac{13\pi}{20}[/tex]:
[tex]\displaystyle\frac{13\pi}{20} + 2\pi\\\\\frac{13\pi}{20} + \frac{40\pi}{20} = \frac{53\pi}{20}[/tex]
Therefore, even in radians, 477° is an angle coterminal to 117°.
You are given 117°.
To find angles that are coterminal with 117°, we do the following:
117° + 360° = 477°
117° - 360° = 243°
As you can see, when we added 117° to 360°, we got 477°.
To answer your question, YES.
You now know that 117° and 477° are coterminal angles.
Keep in mind that 477° is not the only coterminal angle to 117°.
Multiply and collect like terms: (3q−8)(q−1).
Combine like terms
3q^2 − 11q + 8
I need help. Thanks
Answer:
D
Step-by-step explanation:
surface of the semicircle is
1/2*π*r^2=1/2*π*(10/2)^2=1/2*π*5^2
=1/2*π*25=(25/2)*π=12,5*π=12.5*3.14=39.25 approximately 39 square units
surface of the right triangle is
(6*8)/2=48/2=24 square units
so the surface of the shaded area is
surface of the semicircle minus the surface of the right triangle.
39-24=15 square units
A builder was building a fence. In the morning, he worked for 25 of an hour. In the afternoon, he worked for 910 of an hour. How many times as long as in the morning did he work in the afternoon?
Write a division equation to represent this situation, then answer the question.
9514 1404 393
Answer:
(9/10)/(2/5) = ratio of work times
2 1/4 times as long
Step-by-step explanation:
Given:
2/5 hours work in the morning
9/10 hours work in the afternoon
Find:
an equation for how many times as long was afternoon work compared to morning work
the equation solution
Solution:
a/m = r . . . . ratio of afternoon work to morning work
(9/10)/(2/5) = r . . . equation
(9/10)/(4/10) = r
9/4 = r = 2 1/4 . . . solution
The builder worked 2 1/4 times as long in the afternoon as in the morning.
Find the Area of the figure below, composed of a parallelogram and two semicircles.
Round to the nearest tenths place.
32
16
11
Two needed formulas,:
To find the area of a parallelogram, use
A = bh.
To find the area of a semicircle, use
Area = (πr^2)/2.
The area of the parallelogram is 11 x 32 or 352.
The two semicircle have the same measure.
The radius of the semicircle is (1/2)(16) or 8.
Area = (π8^2)/2
Area = 64π ÷ 2
A = 32π
There are two semicircle.
So, the area of both semicircle combined is
2(32π) or 64π.
Area of figure = 64π + 352.
Area of figure = 553.0619298304
We now round to the nearest tenths to get
Area of the figure = 553.06.
For every 2 hours, approximately $1,087 worth of product is sold to consumers. How much money will the company for an entire month (30 days)?
Answer:
391,248 dollars
Step-by-step explanation:
Answer:
the answer is $39,128
Step-by-step explanation:
$1087 divided by 2 = 543.4
$543.4 worth of products is sold in 1 hour
$543.4 x 720 = $39,128
i got the 720 for the hours from 30 day so there is 720 hours in 30 days a whole month (24 x 30 =720)
i hope this helps ;)
sorry if im wrong
Simplify by expressing with radicals 3 + sqrt3 = ?
Answer:
4.73205080757
Step-by-step explanation:
Answer:
3 +[tex]\sqrt{3}[/tex]= 4.73205
How would you write 1/256^-4 using a positive exponent
Answer:
Step-by-step explanation:
[tex]\dfrac{1}{256^{-4}}=256^4[/tex]
because for a real and n integer
[tex]a^{-n}=\dfrac{1}{a^n}[/tex]
take n = -4, so -n = 4, and a =256
thanks
Number 10 thank you ASAP
Find the slope of the line through the points (5, -3) and (5, 4)
Answer:
Infinity
Step-by-step explanation:
Let one point is x1, y1 (5, -3)
the other is x2, y2 (5,4)
then slope = (y1-y2)/(x1-x2)
=(-3-4)/(5-5)
=-7/0
=Infinity
So slop is infinite
The students in Ms. Garris's class collected items to put in gift baskets for the Senior Center. They collected 12 magazines, 24 bottles of lotion, and 36 packs of sugar free gum. If the students divided the items evenly among the baskets, what is the greatest number of baskets they will be able to make?
Answer:
24 :)
Step-by-step explanation:
12 divided by 3 = 4
24 divided by 3 = 8
36 divided by 3 = 12
4 + 8 = 12
12 + 12 = 24
Seven more than twice a number is equal to 21
Answer:
x = a number
7 + 2x = 21
Subtract 7 from both sides
2x = 14
Divide both sides by 2
x = 7
7 is the only number that makes this sentence true.
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
Do the steps in reverse
Subtract 7 from 21
14
Then divide by 2
7
Hope this helps :)
Please consider Brainliest :)
Please help me with this as soon as you can. I have no idea how to do it so please help me.
Answer:
It's definitely not parallel... I think it's neither...
Step-by-step explanation:
Tip: if it is parallel, the slope is the same. The formula for finding slope is y two minus y one divided by x two minus x one.
Among all pairs of numbers with a sum of 105 , find the pair whose product is maximum. Write your answers as fractions reduced to lowest terms.
Answer: Hence Pair( x, y) = [ 105/2, 105/2]
Step-by-step explanation:
Given that;
Among all pairs of numbers with a sum of 105;
the pair whose product is maximum = ?
so let pairs of numbers with a sum of 105 be x and y respectively
x + y = 105
let y = 105 - x
now
product = xy = x( 105 - x ) = 105x - x²
now
p(x) = 105x - x²
for maximum value of p
dp/dx =0
⇒ dp/dx = 105 - 2x = 0
2x = 105
x = 105/2
y + x = 105
y = 105 - x
y = 105 - 105/2 = 105/2
Hence Pair( x, y) = [ 105/2, 105/2]
May you please help im begging ii will give out branilyist
Answer:
A
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
5 times 4 is 20 divided by 2 is 10 hope this helps
You buy 4 cases of bottled water and 5 bottles of fruit punch for a birthday party. Each case of bottled water cost $2.75, and each bottle of fruit punch coast $1.35. You hand the cashier a $20 bill. How much change will you receive? Hurry! It’s do today!
Answer:
$2.25
Step-by-step explanation:
Change
= $20 - total price of the items bought
Total price of bottled water
= 4($2.75)
= $11
Total price of fruit punch
= 5($1.35)
= $6.75
Change
= $20 -($11 +$6.75)
= $20 -$17.75
= $2.25
13. The population of a city is currently 45,000 and is declining at a rate of 2% each year. Estimate the population after a period of 5 years. Use the formula ƒ(t) = aert.
Given:
Initial population = 45,000
Decreasing rate = 2%
Time = 5 year
To find:
The population after a period of 5 years.
Solution:
Formula used:
[tex]f(t)=ae^{rt}[/tex]
where, a is initial population, r is rate and t is time.
[tex]r=\dfrac{2}{100}=0.02[/tex]
Decreasing rate represented by -0.02.
Substitute a=45000, r=-0.02 and t=5 in the above formula.
[tex]f(5)=45000e^{-0.02(5)}[/tex]
[tex]f(5)=45000e^{-0.1}[/tex]
[tex]f(5)=45000(0.904837418)[/tex]
[tex]f(5)=40717.68381 [/tex]
Approximate the value to the previous integer.
[tex]f(5)\approx 40717 [/tex]
Therefore, the population after 5 years is 40717.
Answer:
40,718
Step-by-step ex
The population of a city is currently 45,000 and is declining at a rate of 2% each year. Estimate the population after a period of 5 years. Use the formula ƒ(t) = aert. planation:
Question 3 :
Furniture of vendor firm recorded in
the books at Rs.2,50,000, were taken
over by the partner at an agreed
value of Rs.1,75,000, the amount to
be debited to partners' capital
account will be:
Rs. 2,50,000
Rs.75,000
Rs.4,25,000
Rs. 1,75,000
Answer:
Rs. 2,50,000
Step-by-step explanation:
When a partnership distributes inventory items (hot asset) to its partners, the basis of the inventory items is used to record the transaction. Only when partnerships distribute assets other than hot assets will the fair market value of the assets be used to record the transaction.
The logic is that inventory items are valued at lower of cost or market value. This means that inventory items are already valued at FMV or cost, whichever is less. If the partnership recorded the transaction using Rs.1,75,000, then it would have to record a loss, and distributions cannot generate losses to a partnership. The only way to record the inventory items at Rs.1,75,000 is that previously the partnership writes down inventory.
A sequence of steps for solving the equation 3(x - 2) = 4 is shown. Match a property to each blank box to show the reason for each step. Question 6 options: 3(x - 2) = 4 3x - 6 = 4 3x = 10 x = 103 1. Given 2. Distributive Property 3. Addition property of equality 4. Division property of equality
Step-by-step explanation:
Given the equation;
3(x-2) = 4
A sequence of steps for solving the equation is as shown;
Step 1: Open the parenthesis by applying distributive law to distribute 3 over x and 2 as shown;
3(x-2) = 4
3(x)- 3(2) = 4
3x - 6 = 4
Step 2: Add 6 to both sides of the equation (Addition property)
3x-6+6 = 4+6
3x = 10
Step 3: Division property of equality. Divide both sides by 3;
3x = 10
3x/3 = 10/3
x = 10/3
Amy joined a DVD rental club. She paid an initial fee of $15.87 and it costs $0.82 per DVD she rents. The expression to show the total amount Amy paid to rent 6 DVDs is 15.87+0.82(6). What is the total cost Amy would pay in order to rent 6 DVDs?
Answer:
$45.34
hope this helps
Answer:
$20.79
Step-by-step explanation:
0.82(6) = 4.92
15.87 + 4.92 = 20.79
help me please
Select the correct answer.
What is the product of
Answer: It's A. -7.
Step-by-step explanation: I've attached an Image of my work.
Answer:
A. -7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define expression
[tex](\frac{7}{8} )(-16)(-7)(\frac{-1}{14} )[/tex]
Step 2: Evaluate
Multiply: [tex](\frac{-112}{8}) (-7)(\frac{-1}{14} )[/tex]Multiply: [tex](\frac{784}{8})(\frac{-1}{14} )[/tex]Multiply: [tex]\frac{-784}{112}[/tex]Divide: [tex]-7[/tex]Jack is two years older than bob. If bob is x years old, what is the sum of jacks age and bobs age
Expression 2(x+1) represents the sum of bob and Jacks age.
What is Expression?An expression is combination of variables, numbers and operators.
Given,
Bob is x years old,
Jack is two years older than bob=x+2
we need to find the sum of jacks age and bobs age
x plus x plus two
x+x+2
Two times of x plus two
2x+2
Take two as common, two times of x plus one
2(x+1)
Hence expression 2(x+1) represents the sum of bob and Jacks age.
To learn more on Expressions click:
https://brainly.com/question/14083225
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Which multiplication expression is equal to 1/4 divided by 1/3
Next year, the company needs to earn 205% more money than this year. This year the company earned $10,300.
How much more money needs to be earned next year?
A
$211,150
B
$25, 750
C
$21,115
Answer:
the answer is c
Explanation:reason why I c chose is because add up every thing and multiply to see how much the company would get
Answer:
answer is 21,115 c
Step-by-step explanation:
find the value of x and the measure of MNW
Answer:
VALUE OF X:
3x-13+61 = 90
3x+48 = 90
3x = 42
x = 14
MEASURE OF <MNQ:
3x-13
= 3(14)-13
= 42-13
= 29
A parallelogram has a base of 9 units and a corresponding height of į units. What is its area?
Do not include units (square units) in your answer.
Answer:
[tex]Area = 9j[/tex]
Step-by-step explanation:
Given
[tex]Base = 9\ units[/tex]
[tex]Height = j\ units[/tex]
Required
Determine the area
Area of parallelogram is calculated as thus:
[tex]Area = base * Height[/tex]
Substitute values for Base and Height
[tex]Area = 9 * j[/tex]
[tex]Area = 9j[/tex]
Hence, the area of the parallelogram whose base is 9 units and height is j units, is 9j
Y is less than 4:
y<4?
Correct me if I'm wrong.
Answer:
That’s correct
Step-by-step explanation:
y < 4 does mean that y is less than 4. if it helps. Wherever the open side is, means that one is greater. I always look at it like an alligator eating the bigger number
Complete the chart by dragging and dropping the correct value into the table.
64 oz =
_________ lbs
5 gal =
_________ qt
660 yds =
________ mi
¼ miles =
________ yds
24 oz =
_________ c
4 c =
_________ oz
24 ft =
_________ yds
4 mi
_________ ft
2 ¼ T =
_________ oz
40 oz =
_________ qt
Answer:
64 oz= 4 lbs
5 gal= 20 qt
660 yds = 0.375 miles
¼ miles = 440 yds
24 oz = 3 cups
4 c = 32 oz
24 ft = 8yds
Step-by-step explanation:
I’ll mark you brainliest .
It’s either B,C,or D
Answer:
I believe it may be C or D.
C and D are the exact same, but I don't think it is B, seeing as it is an absolute value function. If I'm wrong, please forgive me.
Step-by-step explanation:
Please help! It's due soon.
the picture is the only thing that matters.
Consider these functions:
For x ≥ 0, the value of f(g(x)) is __
For x ≥ 0, the value of g(f(x)) is __
For x ≥ 0, functions f and g __ inverse functions
Answer:
Because f(g(x)) = g(f(x)) = x, f and g are inverse functions.
Step-by-step explanation:
f(g(x)) = f([tex]\frac{1}{4}\sqrt{x}[/tex]) = [tex]16(\frac{1}{4}\sqrt{x} ) ^{2} = 16(\frac{1}{16}x)=x[/tex]
g(f(x)) = g [tex](16x^{2}) = \frac{1}{4}\sqrt{16x^{2} } = \frac{1}{4}(4x) = x[/tex]
Answer:
X
X
are
Step-by-step explanation:
how many times does 33 go into 112?
Answer:
3.3939
rounded off = 3
33 goes in 112 3 times