Answer:
B) $85,167
Step-by-step explanation:
u got discount 45% so u just have to pay 55% of it
cost = 55% x $154,85 = $85,1675
when is better to use the unit circle vs. right triangles vs. trigonometric identities? Give an example of each and explain why.
The unit circle is best suited for dealing with angles and trigonometric functions of multiple angles, right triangles are best for finding the lengths of the sides of triangles with a right angle, and trigonometric identities are best for simplifying or manipulating trigonometric expressions.
Understanding when to use Unit circle, right triangles and trigonometryEach tool has its own strengths and weaknesses and is better suited for certain types of problems.
Unit Circle is a powerful tool used to relate angles to trigonometric functions. It is particularly useful when dealing with angles in radians, as it allows for easy conversion between radians and degrees. The unit circle is also useful when dealing with trigonometric functions of multiple angles, such as sine and cosine of the sum or difference of two angles.
A good example will be if we want to find the exact value of sin(π/6), we can use the unit circle to visualize the angle π/6, which corresponds to 30 degrees. The unit circle tells us that at this angle, sin(π/6) = 1/2.
Right triangles are useful when we have a right angle in the triangle, as they allow us to use the Pythagorean theorem and trigonometric ratios to find the lengths of the sides of the triangle. Right triangles are particularly useful when we know one angle and one side length, as we can use trigonometric ratios such as sine, cosine, and tangent to find the lengths of the other sides.
If we have a right triangle with an angle of 30 degrees and a hypotenuse of 2, we can use the sine ratio to find the length of the opposite side. sin(30) = opposite/hypotenuse, so opposite = sin(30) * 2 = 1.
Trigonometric identities are useful when we want to simplify or manipulate trigonometric expressions. These identities are derived from the definitions of the trigonometric functions and can be used to simplify complex expressions or prove trigonometric identities.
For example, we can use the identity:
sin²(x) + cos²(x) = 1
to simplify the expression
sin²(x) - cos²(x).
We can rewrite this expression as:
sin²(x) - cos²(x) = sin²(x) + (-1)*cos²(x)
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Every day Maria spent 30 minutes reading and 20 minutes playing the piano witch equation shows the total number of minutes, m she plays the piano in d days
Answer:
y means that the schedule your online Hindi
plsssssss i’ll also rate brainlist
Answer:
6
Step-by-step explanation:
Basically do
2^3 -3*2+4.
and that is the last line of the function since x is greater or equal to 2.
if you are confused, I replaced x with 2 since it was h(x) and it became h(2)
2^3 = 8
8-3*2+4
-3*2 = -6
8-6+4
8-6 =2
2+4 = 6
If x=28°, find the measures of angles 1, 2, and 3.
Answer:
1 = 62 degrees
2 = 90 degrees
3 = 62 degrees
Step-by-step explanation:
hope this helps! have a great day!
Show A and Show B are two of the most popular television shows of all time. The number of episodes of each show are consecutive even integers whose sum is 570. If there are more episodes of Show A, how many episodes of each were there?
Answer:
A = 286 episodes
B = 284 episodes
Step-by-step explanation:
Let n = the [tex]\text{number of episodes}[/tex] of show B
n + 2 = the [tex]\text{number of episodes}[/tex] of show A
Therefore, according to the question,
The sum of the number of the episodes of each show are consecutive even integers = 570
Therefore,
n + n + 2 = 570
2n + 2 = 570
2n = 568
n = 284
Therefore, the number of episodes for B = 284
The number of episodes for A = n + 2 = 284 + 2
= 286
A cone has a height of 3 feet. The diameter of the base is 8 feet. What is the approximate volume of the cone in feet to the nearest hundreth?
Answer:
12.56 feet cubed
Step-by-step explanation:
Diameter of 8= radius of 4
4 x 3.14=12.56
12.56x3=37.68
37.68/3=12.56
The question is attached at the bottom. PLEASE HELP with detailed explanation!!!
Joey has 2/3 of a gallon of ice cream. He divides the ice cream for his friends so that 1/9 of a gallon is in each bowl. How many bowls will he use?
A. 6
B. 1/6
C. 27
D. 1/9
Answer:
Joey will use 6 bowls.
Step-by-step explanation:
We have to divide to solve.
What is [tex]\frac{2}{3}[/tex] ÷ [tex]\frac{1}{9}[/tex] ?
When you divide fractions you just multiply by the reciprocal (the fraction flipped.)
[tex]\frac{2}{3}[/tex] ÷ [tex]\frac{1}{9}[/tex] = [tex]\frac{2}{3}[/tex] × [tex]\frac{9}{1}[/tex]
[tex]\frac{2}{3}[/tex] × [tex]\frac{9}{1}[/tex] = [tex]\frac{18}{3}[/tex]
[tex]\frac{18}{3}[/tex] = 6
Joey will use 6 bowls.
Find P(0), P(1) and P(2) for each of the following polynomial.
[tex]p(y) = 2 + y + 2 {y}^{2} - {y}^{3} [/tex]
[tex] \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ [/tex]
[tex] \sf \: p(y) = 2 + y + 2y {}^{2} - y {}^{3} [/tex]
[tex] \sf \: p(o) = 2 + (o) + 2(o) {}^{2} - (o) {}^{3} = 2 + 0 + 0 - 0 = 2 [/tex]
[tex] \sf \: p(1) = 2 + (1) + 2(1) {}^{2} - 1 {}^{3} = 2 + 1 + 2 - 1 = 4 [/tex]
[tex] \sf \: p(2) = 2 + 2 + 2(2) {}^{2} - 2 {}^{3} = 4 + 8 - 8 = 4 [/tex]
Write an equation and solve for x. Show all your work.
Answer:
X= 24º
Explanation:
A straight line is 180º so, 180º - 151º = 29º - 5º = 24º
which number line represents the solution set for the inequality ? HELP PLEASE
Step-by-step explanation:
if you need any explanation you can ask
2n-3>15, select all values of n would make this inequality true, options are 2, 5, 9, 10, 12
9514 1404 393
Answer:
{10, 12}
Step-by-step explanation:
The inequality can be simplified to ...
2n -3 > 15 . . . . given
2n > 18 . . . . . . add 3
n > 9 . . . . . . . . divide by 2
Only two listed numbers are greater than 9:
10, 12
can some 1 help me with this q
PLEASE SOMEONE HELP ME ILL MARK BRAINLESS AND PLEASE EXPLAIN AHHHH HELP
Answer:
angle 2 is 92 degree
Step-by-step explanation:
-8x + 144 = 2x + 74 (being alternate exterior angles)
-8x - 2x = 74 - 144
-10x = -70
x = -70/-10
x = 7 degree
2x + 74 + angle 2 = 180 degree (being linear pair)
2*7 + 74 + angle 2 = 180
14 + 74 + angle 2 = 180
88 + angle 2 = 180
angle 2 = 180 - 88
angle 2 = 92 degree
Answer:
92
MARK ME BRAINLIEST THANKS MY ANSWER PLEASE DO
Which of the following is the square of a binomial?
Answer:
[tex]16 {x}^{2} + 24xy + 9 {y}^{2} [/tex]
Step-by-step explanation:
U can reduce this into
[tex](4x + 3y) {}^{2} [/tex]
Which is a square.
Now,
16x^2 + 24xy + 9y^2
16x^2 + 12xy + 12xy + 9y^2
4x ( 4x + 3y ) + 3y ( 4x + 3y )
( 4x + 3y ) ( 4x + 3y )
( 4x + 3y )^2
I hope you understand...
Mark me as brainliest...
On a coordinate plane, a triangle has points D (negative 2.5, 5), E (0, negative 1), and F (negative 5, negative 1). What is the y-coordinate of point D after a translation of (x, y) → (x + 6, y – 4)? D′(3.5, )\
9514 1404 393
Answer:
D'(3.5, 1)
Step-by-step explanation:
Use the given translation formula.
(x, y) → (x +6, y -4)
D(-2.5, 5) → D'(-2.5 +6, 5 -4) = D'(3.5, 1)
Answer:
d
Step-by-step explanation:
trust
Help please. Thank you
9514 1404 393
Answer:
(x, y) = (1, -3)
Step-by-step explanation:
The x-term has a coefficient of 1 in the first equation, making it easy to write and expression that can be substituted for x:
x = -3y -8
Using this in the second equation, we have ...
4(-3y -8) -3y = 13
-15y -32 = 13
-45 = 15y
-3 = y
Then the value of x is ...
x = -3(-3) -8 = 1
The solution is (x, y) = (1, -3).
a winery has a vat with two pipes leading to it. the inlet pipe can fill the vat in 6 hours, while the outlet pipe can empty it in 10 hours. how long will it take to fill the vat if both pipes are left open? (in hours)
Answer:
15 hours
Step-by-step explanation:
1vat/6hours - 1vat/10hours = 1vat/xhours
1/6 - 1/10 = 1/x
Use common denominator of 30
5/30 - 3/30 = 1/x
2/30 = 1/x
1/15 = 1/x
Cross multiply
x = 15 hours
i need help w this pls
Answer and Step-by-step explanation:
The answer is the second answer choice. y = 2x + 1
By looking at the graph, we see that there is a y-intercept at (0, 1), and it has a positive slope of 2.
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Which polygons have at least one pair of parallel sides but are not parallelograms? Choose all that apply.
The correct option is polygon E.
What are polygons?A polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.
Given that, Which polygons have at least one pair of parallel sides but are not parallelograms,
Such polygons are called trapezoid.
A trapezoid, also known as a trapezium, is a flat-closed shape having 4 straight sides, with one pair of parallel sides.
Hence, the correct polygon is E.
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Can someone help with this
Answer:
triangle BEF is right angled triangle
examples of subtraction of two fractions ( between 0-1) with a common denominator. IN STEPS ALL WORK, I need two examples.
Answer:
Step-by-step explanation:
3/5 - 2/5 = (3-2)/5 = 1/5
7/10 - 3/10 = (7-3)/10 = 4/10 = 2/5
petrol and engine oil has to mix in the ratio 5 : 2 for a certain motorcycle how much engine oil is needed to mix with 10 litres of petrol
Answer:
4 liters of engine oil
Step-by-step explanation:
petrol : engine oil
5:2
10:?
we notice that if we double 5:2 becomes 10:4 so the missing part of engine oil is 4.
Can someone help me please
Answer:
n = -1
Step-by-step explanation:
n^2 + 5n + 1 = 3n
N^2 +2n +1 = 0 (subtract 3n from both sides)
(n+1)(n+1) = 0 (factor
n+1 =0; n= -1
n+1 = 0 ; n=-1
Calculate the mean,median and mode.(3 points each)
1. 1,2,3,4,5
2. 2,3,4,5,6,6
3. 6,7,5,4,5,6,2,5
Answer:
1. The first set of number is
1,2,3,4,5
Mean= 1+2+3+4+5/5
= 15/5
= 3
Median= 3
Mode= N/A
The next set of numbers is
2,3,4,5,6,6
Mean= 2+3+4+5+6+6/6
= 26/6
= 4.3
Median=4+5/2
= 9/2
= 4.5
Mode= 6
The next set of number is
6,7,5,4,5,6,2,5
Mean= 2+4+5+5+5+6+6+7/8
= 40/8
= 5
Median= 5+5/2
= 10/2
= 5
Mode= 5
?? I got 5 minutes left, please help.
Answer:
Here we know that:
[tex]m(v) = \frac{M_0}{\sqrt{1 - \frac{V}{C} } }[/tex]
Where V is the speed, C = 3*10^8 m/s
We want to solve:
[tex]m(v) = \frac{M_0}{\sqrt{1 - \frac{V}{C} } } = 2*M_0[/tex]
We can just isolate V from the above equation, so we will get:
[tex]\frac{M_0}{\sqrt{1 - \frac{V}{C} } } = 2*M_0[/tex]
[tex]\frac{1}{\sqrt{1 - \frac{V}{C} } } = 2[/tex]
[tex]1 = 2\sqrt{1 - \frac{V}{C} }[/tex]
[tex](1/2)^2 = 1 - \frac{V}{C}[/tex]
[tex]V = (1 - (1/4))*C = (3/4)*C = (3/4)*3*10^8 m/s = (9/4)*10^8 m/s[/tex]
That is the velocity such that the effective mass is twice the rest mass.
Maria made $273 for 13 hours of work. at the same rate, how many hours would she have to work to make $189?
Answer:
9 hours
Step-by-step explanation:
$273/13 hours=$21 per hour
$189/$21 =9 hours
HELP ASAP
The highest Common Factor of two prime numbers is 1. *
Is that true or false???
Answer:
True
Step-by-step explanation:
For example:
HCF of 2 and 3 is 1
Answer:
true
Also i need help with
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The main hall of Grand Central Station in New York City is approximately 210,000 square feet.
(a) Estimate how many people could stand with enough room to turn around in the main hall of the station if there were an emergency which required that the station be used to shelter people.
(b) Explain how you came up with your estimate.
(c) If there are 4 million people in Manhattan, NY, on a typical workday, estimate the percentage of them that could be sheltered in the station.
(d) Explain how you came up with your estimate.
Answer:
a)
52,500 persons
b)
Assuming that a single person occupies 4 square feet of space.
Use the following formula to calculate the Numbers o person occupies the Grand Central Station in New York City
Numbers of person occupies the Grand Central Station in New York City = Total Space of Grand Central Station in New York City / Space occupied by each person
Where
Total Space of Grand Central Station in New York City = 210,000 square feet
Space occupied by each person = 4 squaure feet
Placing values in the formula
Numbers of person occupies the Grand Central Station in New York City = 210,000 square feet / 4 square feet per person
Numbers of person occupies the Grand Central Station in New York City = 52,500 persons
c)
1.3125%
d)
Use the following formula to calculate the percentage of people that could be sheltered in the station
Percentage of people shelter in the station = ( Numbers of person occupies the Grand Central Station in New York City / Total population in Manhattan ) x 100
Where
Numbers of person occupies the Grand Central Station in New York City = 52,500 persons
Total population in Manhattan = 4,000,000 persons
Placing values in the formula
Percentage of people shelter in the station = ( 52,500 / 4,000,000 ) x 100 = 0.013125 = 1.3125%
The number of persons will be "105,000 persons" and the percentage of 4 million that could be sheltered in the station will be "2.625%".
Given:
Total area,
A = 210,000 square feetTotal persons,
[tex]N_t[/tex] = 4 million(a)
→ [tex]Number \ of \ persons (N) = \frac{A}{Area \ covered \ by \ one \ person}[/tex]
By substituting the values, we get
[tex]= \frac{210000}{2}[/tex]
[tex]= 105000 \ per \ share[/tex]
(b)
This approximation comes from dividing a large or overall area by something like a portion of one individual.
(c)
→ [tex]Percentage \ share = \frac{N}{N_t}\times 100[/tex]
By substituting the values, we get
[tex]= \frac{10500000}{4\times 10^6}[/tex]
[tex]= 2.625[/tex] (%)
(d)
Using the method above that, the proportion of people throughout the living room will be calculated.
Thus the above response in appropriate.
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