Answer:
Approximately [tex]68.5\; \rm mm[/tex].
Step-by-step explanation:
Convert the angle of this sector to radians:
[tex]\begin{aligned}\theta &= 127^{\circ} \\ &= 127^{\circ} \times \frac{2\pi}{360^{\circ}} \\ &\approx 2.22\end{aligned}[/tex].
The formula [tex]s = r\, \theta[/tex] relates the arc length [tex]s[/tex] of a sector of angle [tex]\theta[/tex] (in radians) to the radius [tex]r[/tex] of this sector.
In this question, it is given that the arc length of this sector is [tex]s = 36\; \rm mm[/tex]. It was found that [tex]\theta = 2.22[/tex] radians. Rearrange the equation [tex]s = r\, \theta[/tex] to find the radius [tex]r[/tex] of this sector:
[tex]\begin{aligned} r&= \frac{s}{\theta} \\ &\approx \frac{36\; \rm mm}{2.22} \\ &\approx 16.2\; \rm mm\end{aligned}[/tex].
The perimeter of this sector would be:
[tex]\begin{aligned}& 2\, r + s \\ =\; & 2 \times 16.2\; {\rm mm} + 36\; {\rm mm} \\ =\; & 68.5\; \rm mm\end{aligned}[/tex].
brainliest if correct
Solve.
−49x+2.4=6
Enter your answer as a decimal or as a mixed number in simplest form in the box.
x =
$\text{Basic}$
Step-by-step explanation:
[tex] - 49x + 2.4 = 6 \\ - 49x = 6 - 2.4 \\ - 49x = 3.6 \\ x = \frac{3.6}{ - 49} \\ x = - \frac{18}{245} = - 0.0735[/tex]
2x3 + 8x2 + 10x + 4 all potential roots and actual roots
Answer:
potential: {±1/2, ±1, ±2, ±4}actual: [-2, -1, -1}Step-by-step explanation:
The Rational Root Theorem tells you that potential rational roots are ...
±(divisor of constant term)/(divisor of leading coefficient)
Ignoring the fact that all of the coefficients can be reduced by a factor of 2, straightforward application of this theorem suggests possible rational roots might be ...
±{1, 2, 4}/{1, 2} = {±1/2, ±1, ±2, ±4} . . . potential roots
Examination of the graph of the function shows the actual roots are ...
x = -2, -1 (multiplicity 2)
_____
Additional comment
Descartes' rule of signs eliminates positive real roots from the list. (There are no coefficient sign changes, hence no positive real roots.)
Division of the polynomial by 2 gives x³ +4x² +5x +2 = 0, which only suggests rational roots of -2 or -1. The answer to the question of potential roots depends on the extent to which you refine the list above.
Which equation represents the line through (0,0) and (3, 4)?
O A. y = x
O B. y = 4x
O C. y = 2
O D. y = 3x
Answer:
y=4/3x
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(4-0)/(3-0)
m=4/3
y-y1=m(x-x1)
y-0=4/3(x-0)
y=4/3(x)
y=4/3x
Last year, a website had 40,000 visitors and this year there is 37,000 visitors what is the percent change of the visitors
Answer:
-7.5 %
Step-by-step explanation:
Percent change can be calculated as
(change)/(original number) * 100, with the * 100 representing a change from decimal (which is what we get from dividing) to percent.
Here, change is (final - original) = 37000-40000 = -3000. Divide this by the original number, 40000, to get -3000/40000 = -0.075. Multiply this by 100 to get -7.5 % as our answer
Which statement is true about the number −5? The number −5 is not a rational number because it cannot be written as a ratio of integers. The number −5 is not rational number because it is a negative integer. The number −5 is a rational number because it can be written as the fraction −51. The number −5 is a rational number because it can be written as the fraction −50.
Answer:
The number -5 is not a rational number because it is a negative integers.
Step-by-step explanation:
Hopes This Helps :)
Which equation could be solved using this application of the quadratic formula? A. -2x2 â’ 8 = 10x â’ 3 B. 3x2 â’ 8x â’ 10 = 4 C. 3x2 8x â’ 10 = -8 D. -2x2 8x â’ 3 = 4.
The given question can be solve using quadratic formula.
The correct option is (c) [tex]3x^2 +8x -10=-8[/tex].
Given:
The given equation is,
[tex]x=\dfrac{-8\pm\sqrt{8^2-4(3)(-1)}} {2(3)}[/tex]---------------------------(1)
Write the general quadratic equation.
[tex]ax^2 + bx +c=0[/tex]
Write the quadratic formula.
[tex]x =\dfrac {-b \pm \sqrt{(b^2 - 4ac)} } {2a}[/tex]------------------------------- (2)
Compare equation (1) and (2).
[tex]a=3\\b=8\\c=-2[/tex]
Substitute the value of [tex]a[/tex], [tex]b[/tex] and [tex]c[/tex] in general quadratic.
[tex]3x^2 +8x -2=0[/tex]
Subtract [tex]8[/tex] from each side of above equation.
[tex]3x^2 +8x -2 -8=0-8\\3x^2 +8x -10=-8[/tex]
Thus, the correct option is (c) [tex]3x^2 +8x -10=-8[/tex].
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The cafeteria made 19 mushroom pizzas and 57 pepperoni pizzas.What percentage of the pizzas were mushroom?
Answer:
the answer is 14.04
...............
25 % of pizzas were mushroom pizzas.
What is percentage?Percentage is a measurement to find value of given number out of hundred.
Given that,
Number of mushroom pizzas = 19,
And number of pepperoni pizzas = 57.
Total number of pizzas = 19 + 57 = 76.
To find the number of percentage of pizzas of mushroom,
Use percentage property,
= (Number of mushroom pizzas / total pizzas) x 100
= (19 / 76) x 100
= 100/ 4
= 25 %
The required percentage of mushroom pizzas = 25 %.
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How onto add, subtract, multiply, and divide decimals
Answer:
Hope this helps. x
Kasey had to make a down payment of 17% of the selling price of her house. She was approved for a $255,000 mortgage. What range of costs might she expect to pay at the closing?
Answer:
aq lang to Yung d na binalikan Yung iniwan na parang basura
What is the distance between (7, 1) and (-4, -5)?
Answer:
The distance between [tex](7,1)[/tex] and [tex](-4,-5)[/tex] is [tex]\sqrt{157}[/tex] units
Step-by-step explanation:
Use the distance formula [tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex] where [tex]d[/tex] is the positive distance between [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]:
[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
[tex]d=\sqrt{(-5-1)^2+(-4-7)^2}[/tex]
[tex]d=\sqrt{(-6)^2+(-11)^2}[/tex]
[tex]d=\sqrt{36+121}[/tex]
[tex]d=\sqrt{157}[/tex]
Therefore, the distance between [tex](7,1)[/tex] and [tex](-4,-5)[/tex] is [tex]\sqrt{157}[/tex] units
Answer: The distance between (7,1), and (-4, -5) is 12.53.
a
Two taxi companies have different pricing systems. Company A charges a flat fee of $8 plus $0.10
per mile driven. Company B does not charge a flat fee, but charges $0.60 per mile driven. At what
distance do both companies charge the same amount?
Answer:
16 miles
Step-by-step explanation:
let the number of miles driven be = x
Company A = Company B
8 + 0.10x = 0.60x
8 = 0.50x
x = 16
Hi ~ just a quick note:
I just started uploading videos to yt that contains steps to solving a problem. I sometimes share an unlisted video link so you can view it.
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-Chetan K
1.) Jacob bought a total of 9 pizzas for his class party. The amount of
large pizzas was twice the amount of medium pizzas. How many large
and how many medium pizzas did he buy?
Equation #1:
Equation #2:
Large Pizzas:
Medium Pizzas:
what’s the equations
Answer:
Equation 1: L+M=T
Equation 2: 2M=L
Large Pizzas: 6 pizzas
Medium Pizzas: 3 Pizza
Step-by-step explanation:
Equation 1 looks like L+M=T where L is large pizza, M is medium pizza and T is Total of pizzas. The second one would look like 2M=L, to represent how twice the amount of medium pizza equal large pizza. If you were using different variables it would look like X+Y=Total, and 2X=Y.
Divide.
(2x² - 2x-7) divided by (x+2)
Your answer should give the quotient and the remainder.
Answer:
2x³-2x²-3x-14
Hope it helps you
Please help me with the following question:
Answer:
the answer to this problem is D: 180 + w-z
A system of equations is made up of an ellipse and a hyperbola.
Part A: Create the equation of an ellipse centered at the origin, with a vertical major axis of 8 units and a minor axis of 6 units. Show your work. (3 points)
Part B: Create the equation of a hyperbola centered at the origin, with a horizontal transverse axis, vertex at (–4, 0), and asymptotes of y equals plus or minus seven fourths x period Show your work. (4 points)
Part C: Determine the domain of each conic section and use it to explain why there is no solution to the system. (3 points)
The equation of the ellipse and the equation of the hyperbola can be
derived from the given information and the general form of the equations.
[tex]Part \, A: The \ equation \ of \ the \ ellipse \ is; \displaystyle \frac{x^2}{3^2} + \frac{y^2}{4^2} = 1[/tex]
[tex]Part \, B: The \ equation \ of \ the \ hyperbola \ is; \displaystyle \frac{x^2}{(-4)^2} - \frac{y^2}{(-7)^2} = 1[/tex]
Part C: The domain of the ellipse is; [-3, 3]
The domain of the hyperbola is; (-∞, -4]
The domains of the ellipse and the hyperbola do not intersect, therefore, the system of equation has no solution.Reasons:
Part A: The center of the ellipse = At the origin;
The vertical major axis = 8 units
The minor axis = 6 units
The general equation for an ellipse is presented as follows;
[tex]\displaystyle \frac{x^2}{b^2} + \frac{y^2}{a^2} = 1[/tex]
Where;
[tex]\displaystyle a = The \ \mathbf{ semi \ major \ axis} = \frac{8}{2} = 4[/tex]
[tex]\displaystyle b = The \ semi \ \mathbf{ minor} \ axis = \frac{6}{2} = 3[/tex]
The equation of the ellipse is therefore;
[tex]\displaystyle \underline{\frac{x^2}{3^2} + \frac{y^2}{4^2} = 1}[/tex]Part B: center of the hyperbola = The origin
The transverse axis = Horizontal
The vertex of the hyperbola = (-4, 0)
[tex]\displaystyle The \ asymptote \ are; \ y = \mathbf{ \pm\frac{7}{4} \cdot x}[/tex]
The general equation of an hyperbola is presented as follows;
[tex]\displaystyle \mathbf{\frac{x^2}{a^2} - \frac{y^2}{b^2}} = 1[/tex]
[tex]\displaystyle The \ asymptote \ are; \ y = \mathbf{\pm\frac{b}{a} \cdot x}[/tex]
The vertices = (a, 0), (-a, 0)
Therefore, by comparison, we have;
a = -4
b = -7
Which gives the equation of the hyperbola as follows;
[tex]\displaystyle \underline{ \frac{x^2}{(-4)^2} - \frac{y^2}{(-7)^2} = 1}[/tex]The above equation can be written as follows;
[tex]\displaystyle \frac{x^2}{(4)^2} - \frac{y^2}{(7)^2} = 1[/tex]
Part C: Given that both equations are equal, we have;
The covertices of the ellipse are; (-3, 0) and (3, 0)
The domain of the ellipse = [-3, 3]
The domain of the hyperbola = x < The negative vertex
∴ The domain of the hyperbola = x < -4 = (-∞, -4]
The above domain of the ellipse does not extend to the hyperbola, therefore there is no solution to the system.Learn more about ellipse and hyperbola here:
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What is 12xq+35x14/455
x=multiply
+= addition
/= divide
Answer:
ı wanna learn abot it
Step-by-step explanation:
ı think u should make -b/2a and b^2-4ac
Find the distance between (-4,-8) and (-4,0).
Answer:
[tex]\huge\boxed{\sf |AB| = 8\ units}[/tex]
Step-by-step explanation:
Given the two co-ordinates:
A(x1,y1) = (-4,-8)
B(x2,y2) = (-4,0)
Putting them in the distance formula:
[tex]|AB| = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\|AB| = \sqrt{(-4-(-4))^2+(0-(-8))^2} \\\\|AB| = \sqrt{(-4+4)^2+(0+8)^2} \\\\|AB| = \sqrt{8^2} \\\\|AB| = 8\ units\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Identify the slope and y-intercept of the function y = –8x + 1. A. The slope is 8. The y-intercept is (0, 1). B. The slope is –8. The y-intercept is (0, 1). C.The slope is 1. The y-intercept is (0, 8). D. The slope is 1. The y-intercept is (0, –8).
Answer:
b
Step-by-step explanation:
-8 Is the slope and yintecept is 0,1
Which is further 104km or 70 miles ?
Answer:
104 km is further than 70 miles.
Step-by-step explanation:
Using the conversion table, we can tell that 1 km = 0.62 miles. Now, let's see which is bigger.
=> 104 km ☐ 0.62 miles=> 0.62 x 104 ☐ 0.62 x 70 => 104 ☐ 70 => 104 > 70Conclusion:
We can clearly see that 104 km is further than 70 miles.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
At the school's holiday craft fair, Juan and his classmates get to make gingerbread houses. Their teacher divides a bag of licorice ropes evenly among the 8 students at the table. Each student gets 4 licorice ropes to decorate the roof of his or her gingerbread house.
Which equation can you use to find the number of licorice ropes r that came in the bag?
To find the number of licorice ropes r that came in the bag, the equation would be r/ 8 = 4.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
The teacher divides a bag of licorice ropes evenly among the 8 students at the table.
Each student gets 4 licorice ropes to decorate the roof of his or her gingerbread house.
Let the number of licorice ropes that came in the bag be r.
The total number of students = 8
one student gets the licorice ropes = 4
The equation formed
r/ 8 = 4
r = 32
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The equation to find the number of licorice ropes came in the bag r, is r = 32
The equation to find the total number of licorice ropes, r, that came in the bag, based on the information provided. Each student gets 4 licorice ropes to decorate the roof of their gingerbread house, and there are 8 students.
The total number of licorice ropes can be found by multiplying the number of ropes each student gets (4) by the number of students (8):
Total licorice ropes = Number of ropes per student × Number of students
r = 4 × 8
Simplifying further:
r = 32
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I need help ASAP …………….
Answer:
for me the answer is y=0.17x+2
not sure
correct me if im wrong
love ya
Step-by-step explanation:
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When two parallel lines are intersected by a transversal, alternate exterior angles are?
1. Different
2. 180 degrees
3. 90 degrees
4. congruent
please help with geometry problems
Answer:
put your best gees
Step-by-step explanation:
What is the following sum in simplest form? StartRoot 8 EndRoot 3 StartRoot 2 EndRoot StartRoot 32 EndRoot 3 StartRoot 8 EndRoot 3 StartRoot 2 EndRoot 5 StartRoot 42 EndRoot 9 StartRoot 2 EndRoot 5 StartRoot 2 EndRoot StartRoot 32 EndRoot.
The sum of the equation is [tex]9\sqrt{2}[/tex] and it can be determined by using addition and it can be determined by summation rule in the equation.
Given that,Equation; [tex]\sqrt{8} +3\sqrt{2} +\sqrt{32}[/tex]
We have to determineThe sum of the equation.
According to the question,To determine the sum of the equation following all the steps given below.
Equation; [tex]\sqrt{8} +3\sqrt{2} +\sqrt{32}[/tex]The sum of the equation is determined by factorizing the equation,
Then,
The sum of the equation is,
[tex]=\sqrt{8} +3\sqrt{2} +\sqrt{32}\\\\= \sqrt{2\times 2\times2 }+ 3\sqrt{2} +\sqrt{2\times 2\times2 \times 2\times2 }\\\\= 2\sqrt{2} + 3\sqrt{2} + 2\times 2\sqrt{2} \\\\= 2\sqrt{2} + 3\sqrt{2} + 4\sqrt{2} \\\\= 9 \sqrt{2}[/tex]
Hence, The required sum of the equation is [tex]9\sqrt{2}[/tex].
For more details about Addition refer to the link given below.
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Sara bought 12 roses for $30. Find the unit price
solve for x: 3x-10 = 2(x+6)
Answer:
x = 22
Step-by-step explanation:
Is the following double number line drawn correctly? Use complete sentences to explain your reasoning.
The double number line is not correctly drawn because the second line shows numbers that do not follow a sequence.
What is a double number line?A double number line is a type of graph that displays two lines each with numbers that follow a sequence. Moreover, it is expected the numbers in one line are equivalent to the numbers on the other line.
For example, the top line can show the weight in grams, while the bottom line shows the weight in kilos.
Is the double number line correct?This double number line is not correct because the second line has numbers that do not a follow a sequence, the correct sequence would be:
0, 4, 8, 12 (multiples of 4), which means 3 does not match.Learn more about sequences in: https://brainly.com/question/21961097
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Answer:The double number line is not correctly drawn because the second line shows numbers that do not follow a sequence.
What is a double number line?
A double number line is a type of graph that displays two lines each with numbers that follow a sequence. Moreover, it is expected the numbers in one line are equivalent to the numbers on the other line.
For example, the top line can show the weight in grams, while the bottom line shows the weight in kilos.
Is the double number line correct?
This double number line is not correct because the second line has numbers that do not a follow a sequence, the correct sequence would be:
0, 4, 8, 12 (multiples of 4), which means 3 does not match.
What is the equation of a line that is perpendicular to the line y = - 1/2 x + 1 and passes through the point (8, - 1)? A y = −1/2 x + 8 B y = 2x - 17 C y = −1/2 x − 2 D y = 2x - 1
Please help peeps
Thanks
Answer:
B) 6
Step-by-step explanation:
If this is similar triangles:
x:42=6:42
Well you could also just
bigger triangle is isosceles
so x=6
Which equation is perpendicular to y=4x-6 and passes through point (B, 12)
Answer:
asdasd
Step-by-step explanation:
asdasdasd