The cosine and the sine of the angle are the x and y coordinates of P, respectively
The relationship between the coordinates and trigonometry ratiosAssume that the coordinate of a point P is:
P = (x,y)
The trigonometry ratios are represented using:
(cos(t), sin(t))= (x,y)
Where t represents the angle formed between the initial and terminal arm.
Hence, the cosine and the sine of the angle are the x and y coordinates of P, respectively
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Which of the following is an example of a polynomial function?
f(x) = 5x3 + 2x2 – 6x + 7
g of x equals the quantity x squared plus 2x minus 3 end quantity divided by the quantity x minus 4 end quantity
h(x) = 750(1.04)x
p(x) = log3(x)2
A polynomial function is represented by constants and factors
The example of a polynomial is: f(x) = 5x3 + 2x2 – 6x + 7
How to determine the example of polynomial?A polynomial function is represented as:
y = ax^n + bx^n-1 + cx^n-2 + dx^n-3 + ........... + e
Where e is a constant
Using the above general form of a polynomial, we can conclude that the example of a polynomial is:
f(x) = 5x3 + 2x2 – 6x + 7
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Answer:
f(x) = 5x3 + 2x2 – 6x + 7
Step-by-step explanation:
I got it right on the test.
In triangle ABC, m∠ A = 45˚ and a = c. Which best describes triangle ABC? *
Given the figure below with mBFA = 166 and mBD = 88, what is m
Applying the inscribed angle theorem, the measure of ∠BDA is: A. 83°.
What is the Inscribed Angle Theorem?When an angle is inscribed in a circle, the measure of the angle equals half the measure of the intercepted arc, according to the inscribed angle theorem.
Given the following:
m(BFA) = 166° [intercepted arc]m∠BDA = ? [inscribed angle]Applying the inscribed angle theorem, we have:
m∠BDA = 1/2(166)
m∠BDA = 83°
Thus, applying the inscribed angle theorem, the measure of ∠BDA is: 83°.
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Look at the equation.
X-3 = 12
Which value of x makes this equation true?
4
(b9
с
15
d) 36
Answer:
c) 15
Step-by-step explanation:
Plugging in the value of x as 15 in the equation,
15-3 which is equal to 12
Which statement about 6x2 7x – 10 is true? one of the factors is (x 2). one of the factors is (3x – 2). one of the factors is (2x 5). one of the factors is (x – 5).
One of the factors of the given quadratic expression is (x+2).
The given quadratic expression is:
[tex]6x^{2} +7x-10[/tex]
What is a quadratic expression?Any expression of the form [tex]ax^{2} +bx+c[/tex] is called a quadratic expression where a≠0.
Splitting the middle term of the given expression
[tex]6x^{2} +12x-5x-10[/tex]
[tex]6x(x+2)-5(x+2)[/tex]
[tex](x+2)(6x-5)[/tex]
Hence, one of the factors of the given quadratic expression is (x+2).
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A standard number cube is tossed. Find P(2 or even)
Answer:
1/2
Step-by-step explanation:
there are 3 even numbers including 2. there are 6 possible outcomes. 3/6 = 1/2
Answer:
1/2
Step-by-step explanation:
Factor the following expression using the greatest common factor 18a+24c
Step-by-step explanation:
divide each by six
3a+4c
Answer:
6(3a+4c)
Step-by-step explanation:
GCF = 6
18a/6+24c/6
= 6(3a+4c)
Find the perimeter of the polygon with the given vertices. Round your answer to the nearest hundredth.
4
4(1.4)
2
N(2.0)
14
-2
x
(Pl-1, -2)
M(4,0)
The perimeter is about
units.
Check the picture below, now the distance from 2,0 to 4,0 there's no need to do much calculation since that's just 2 units, as you see there.
[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{2}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{4}) ~\hfill d1=\sqrt{[ 1- 2]^2 + [ 4- 0]^2} \\\\\\ d1=\sqrt{(-1)^2+4^2}\implies \boxed{d1=\sqrt{17}} \\\\[-0.35em] ~\dotfill[/tex]
[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{-2}) ~\hfill d2=\sqrt{[ -1- 1]^2 + [ -2- 4]^2} \\\\\\ d2=\sqrt{(-2)^2+(-6)^2}\implies \boxed{d2=\sqrt{40}} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{0}) ~\hfill d3=\sqrt{[ 4- (-1)]^2 + [ 0- (-2)]^2} \\\\\\ d3=\sqrt{(4+1)^2+(0+2)^2}\implies \boxed{d3=\sqrt{29}}[/tex]
[tex]~\dotfill\\\\ \stackrel{\textit{\Large Perimeter}}{2~~ + ~~\sqrt{17}~~ + ~~\sqrt{40}~~ + ~~\sqrt{29}~~\approx~~17.83}[/tex]
The perimeter of the polygon with the vertices L = (1, 4), P = (-1, -2),
N = (2, 0) and M = (4, 0) is approximately 17.93 units.
We have,
The polygon has the following sides:
LP, PN, NM, and ML.
The coordinates for each point are:
L = (1, 4)
P = (-1, -2)
N = (2, 0)
M = (4, 0)
The perimeter of the polygons.
= LP + PN + NM + ML
Using the distance formula for the distance between two points (a, b) and (c, d):
Distance = √((c - a)² + (d - b)²)
Let's calculate the distances between the points:
LP:
Distance(LP)
= √((-1 - 1)² + (-2 - 4)²)
= √((-2)² + (-6)²)
= √(4 + 36)
= √40
= 6.32
PN:
Distance(PN)
= √((2 - (-1))² + (0 - (-2))²)
= √((2 + 1)² + (0 + 2)²)
= √(3² + 2²)
= √(9 + 4)
= √13
≈ 3.61
NM:
Distance(NM)
= √((4 - 2)² + (0 - 0)²)
= √(2² + 0²)
= √4
= 2
ML:
Distance(ML)
= √((4 - 1)² + (0 - 4)²)
= √((4 - 1)² + (-4)²)
= √(3² + 16)
= √(9 + 16)
= √25
= 5
Now,
Perimeter = LP + PN + NM + ML
Perimeter ≈ 6.32 + 3.61 + 2 + 5 ≈ 16.93
Thus,
The perimeter of the polygon is approximately 17.93 units.
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2. 5 kg of potatoes cost £1. 40
workout the cost of 4. 25 kg of potatoes
Find the median of the data.
24,74,61,29,38,27,68,54
Answer:
The median is 46
Step-by-step explanation:
To find the median, you must first order the numbers, from left to right, lowest to highest:
24, 27, 29, 38, 54, 61, 68, 74
Next, we have to find the number in the middle. We can do this by counting inwards one and crossing out each of the lowest and highest each time we get closer to the middle/center.
24, 27, 29, 38, 54, 61, 68, 74
, 27, 29, 38, 54, 61, 68,
, , 29, 38, 54, 61, ,
, , , 38, 54, , ,
Now, if there is no exact middle, we would add them add divide by 2. If there was an exact middle, that would be the answer. But there isn't.
38 + 54 = 92
92 / 2 = 46
The median is 46
Express -48 by 60 as a rational number with denominator 25 pura Karen
Answer:
-20/25
Step-by-step explanation:
To change a fraction to one with a different denominator, common factors can be removed or added to numerator and denominator as required.
__
-48/60 can be reduced to lowest terms by removing the common factor of 12. It can be made to have a denominator of 25 by adding a common factor of 5.
[tex]-\dfrac{48}{60}=-\dfrac{4\cdot12}{5\cdot12}=-\dfrac{4}{5}\\\\=-\dfrac{4\cdot5}{5\cdot5}=\boxed{-\dfrac{20}{25}}[/tex]
__
Alternatively, the numerator of the desired fraction can be found by multiplying the given fraction by the desired denominator.
numerator = 25×(-48/60) = -1200/60 = -20
new fraction = -20/25
A carpenter has to cut four lengths of wood, each 128cm long. What is the total length of wood that he needs?
Answer:
512cm
Step-by-step explanation:
same length of 128 4 times. 512
If the slope of a line is 0, does the line rise (from left to right), fall (from left to right), horizontal or vertical?
When the slope is 0
it is in a horizontal positionthe rise is zero, same from left to right; right to leftThis picture below shows some examples of equation with slope as 0
Answer:
horizontal
rise remains conserved
Step-by-step explanation:
Slope is 0
means
[tex]\\ \rm\dashrightarrow tan\theta=0[/tex]
[tex]\\ \rm\dashrightarrow \theta=tan^{-1}(0)[/tex]
[tex]\\ \rm\dashrightarrow \theta=0°[/tex]
Line will be parallel to x axis
What is the missing term?
Answer:
-2x
filler filler filler
Estimate the value Square Root 49 to your best judgement and explain why
V49 = 7 because 7²=49?
.........
A company sells cocoa powder in a cylindrical container that is 5 inches long with a circular base of diameter 4 inches. The company is planning to sell a family-size product that will use similar packaging scaled by a factor of 2.
The circumference of the original container is (62.8, 15.7, 12.57, 6.28)
inches. This is (18.84, 9.42, 37.68, 12.57)
inches less than the circumference of the new container.
The circumference of the original container is 12.57 inches.
The cirucmference of the original container is 12.57 inches less than the circumference of the new container.
What is the circumference of the cylinder?The circumference of a cylinder is the distance round the cylinder. It is the perimeter of the cylinder.
The circumference of a cylinder = πD
Where:
π = 22/7D = diameterThe circumference of the original container = 22/7 x 4 = 12.57 inches
The circumference of the family sized container 12.57 x 2 = 25.14 inches
Difference in the circumference = 25.14 - 12.57 = 12.57 inches
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Answer: 12.57 for both
Step-by-step explanation: ANSWER ON EDMENTUM/PLUTO
What is the approximate area of the hexagon? 24 in.2 42 in.2 48 in.2 84 in.2
Answer: 42 in²
Step-by-step explanation: right on edge
The graph and the table below show the relationship between y, the total cost, and x, the number of loads washed, at two laundromats.
How do you find the measure of angle A?
Answer:
m∠A = 18
Step-by-step explanation:
Formula:
the sum of the interior angles of a triangle is 180.
____________________
According to the formula :
[tex]m\angle A\ +\ m\angle B\ +\ m\angle C=180[/tex]
⇔ x - 22 + 3x + 19 + x - 17 = 180
⇔ 5x + (19 - 17 - 22) = 180
⇔ 5x + (2 - 22) = 180
⇔ 5x - 20 = 180
⇔ 5x = 180 + 20
⇔ 5x = 200
[tex]\Leftrightarrow x = \frac{200}{5} \\\Leftrightarrow x = 40[/tex]
Conclusion:
m∠A = x - 22 = 40 - 22 = 18
A retailer agreed to take 5000 ball point pen. However he found that 12 persent are faulty. What was the percentage decrement
Answer:
88%
Step-by-step explanation:
The correct answer is 88% because 12% of the pens are defective.
As a result, 12% ÷ 5000 = 12 ÷ 100 x 5000
= 600
There are 600 defective pens.
The pens that are left are 5000 - 600 = 4400.
4400 pens are in good working order.
This means that 88 percent = 4400 ÷ 5000 x 100
I hope this helps! ^-^
somebody, please solve this.
Ramesh replaced all his 100-watt bulbs, a total of 8 with LED of 8 watts. If he uses bulbs for 8 hours per day, how much cost he will save per month if ` 5.70 per kWh is charged?
$1006.85 would be saved per month if the 8 watts LED replaced the 100 watts bulbs.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Amount of energy for the 100 watt bulb = 8 * 100 watt * 8 hr * 30 days =192000 Wh = 192 kWh
Amount of energy for the 8 watt bulb = 8 * 8 watt * 8 hr * 30 days = 15360 Wh = 15.36 kWh
The cost saved in a month = $5.7 * (192 - 15.36) = $1006.85
$1006.85 would be saved per month if the 8 watts LED replaced the 100 watts bulbs.
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What's 14x3491 What do I do I need some Help!!!
Answer:
48874
Step-by-step explanation:
anyone know the answer??
Answer:
the second option
Step-by-step explanation:
in ax²+bx+c = 0:
[tex]x = \frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]
subtract both sides by 6 to get to this form, as the right side will be left with 0
6x² + 8x - 6 = 0
here, the coefficient for x² (a) is 6, the coefficient for x (b) is 8, and the remaining number added on (c) is -6
plugging our numbers into the formula, we get
[tex]x = \frac{-8+-\sqrt{(-8)^2-4(6)(-6)} }{2(6)}\\= \frac{-8+-\sqrt{64-(-144)} }{12} \\= \frac{-8+-\sqrt{208} }{12} \\ = \frac{-8+\sqrt{208} }{12} or \frac{-8-\sqrt{208} }{12}\\= 0.53518375848 or -1.86851709182\\= approximately -1.87, 0.54[/tex]
ANSWER ASAPP PLSSS
There are 7 options on the dessert menu at a restaurant. Ellen and Connie like all of the choices equally, so they each choose a dessert at random from the menu. What is the probability that Ellen will choose apple pie and Connie will choose strawberry cheesecake for dessert? Express your answer as a decimal. If necessary, round your answer to the nearest thousandth.
Answer:
1/7 * 1/7 = 0.02040816326
Step-by-step explanation:
Probability of selecting 1 of the 7 menu items is P(1 item) = 1/7
Thus, probability that they select the items from menu written in the question is; P(both select 1 item) = 1/7 * 1/7 = 0.02040816326
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match the values with the equivalent percentages.
35% of 150
45% of 200
30% of 15
20% of 50
10% of 20
2.
52.5
4.5
10
2 ----› 10% of 20 = 10/100 × 20 = 200/100 = 2/1 = 2
52.5 ----› 35% of 150 = 35/100 × 150 = 0.35 × 150 = 52.5
4.5 ----› 30% of 15 = 30/100 × 15 = 0.3 × 15 = 4.5
10 -----› 20% of 50 = 20/100 × 50 = 0.2 × 50 = 10
Aaron was plotting the shape of his garden on grid paper. While it was an irregular shape, it was perfect for his yard. each square on the grid represents 1 square meter. What is the area of the garden?
pls, add an explanation as well as an answer, i wont open any links, thanks :)
Answer:
44 [tex]m^{2}[/tex]
Step-by-step explanation:
As the shape contain triangle ,rectangle and square so we calculate the area of all these and then add up.
As one box = 1 [tex]m^{2}[/tex]
Area of Triangle= [tex]\frac{1}{2}*b*h[/tex]
b= 8, h=2
Area of Triangle= [tex]\frac{1}{2}*8*2[/tex]
Area of Triangle= [tex]8 m^{2}[/tex]
Area of Rectangle= [tex]l*w[/tex]
l=8,w=4
Area of Rectangle= [tex]8*4\\[/tex]
Area of Rectangle= [tex]32m^{2}[/tex]
Area of Square=[tex]a^{2}[/tex]
a=2
Area of Square=[tex]2^{2}[/tex]
Area of Square=[tex]4m^{2}[/tex]
Total Area=[tex]8 m^{2}[/tex]+[tex]32m^{2}[/tex]+[tex]4m^{2}[/tex]=44[tex]m^{2}[/tex]
What is the value of y??
Answer:
3
Step-by-step explanation:
The opposite sides are equal
2y+ 4 = 10
2y = 6
y = 3
A cyclist is training for a big race. One day she biked 33. 25 miles in 1 hour and 45 mins. At that rate how long wil it take for her to complete the 47. 5 mile race? How fast was the biker traveling?
Answer: 2.5hr
Step-by-step explanation:
33.25miles in 1¾ hr
Speed = 33.25 ÷ 7/4 hr
Speed = 33.25 × 4/7 = 19miles/hr
Time to travel 47.5miles = 47.5/19
Four more than three times a number x is 48
please help i keep getting this wrong
Answer:
(5x+10y)/(x+2y)
Step-by-step explanation: