Anthony's little brother gets on a carousel that is 8 meters in diameter. At the start of the ride, his brother is 3 meters from the fence to the ride. How far will his brother be from the fence after the carousel rotates 240°?
Answers
Answer:
9 m
Step-by-step explanation:
Given that:
Carousel diameter = 8m
Radius of carousel = 8m / 2 = 4m
From the attached picture :
xo = d ; from the diagram attached ;
Using Pythagoras :
Cosθ = Adjacent / hypotenus
Cos 60 = d / 4
0.5*4 = d
d = 2
d = 2m
d + length of Radius + initial distance from fence
2m + 4m + 3m = 9m
Related Questions
Write a mathematical expression for the word expression. Seven times a number plus one
Answers
Answer:
7x +1
Step-by-step explanation:
6x - (4x – 9) = 25 – 9
-True
-False
Answers
Answer:
Step-by-step explanation:
6x-4x+9=25-9
2x=25-18
2x=7
x=3.5
6x-(4x-9)=25-9
6x-4x+9=25-9
2x+9=16
2x=7
x=3.5 so it is true when x=3.5
3 glasses and 3 mugs costs £18.
6 glasses and 4 mugs costs £32.
Find the cost of a glass.
Find the cost of a mug.
Glass: £
Mug: £
Answers
Step-by-step explanation:
Suppose the cost of one glass is x
The cost of one mug is y
according to question
[tex]\Rightarrow 3x+3y=18\quad \ldots(i)\\\\\Rightarrow 6x+4y=32\quad \ldots(ii)[/tex]
Solving [tex](i)\ \&\ (ii)[/tex] we get
[tex]\Rightarrow x=4\ \text{and}\ y=2[/tex]
So, the cost of each glass is £4
and cost of each mug is £2
can someone explain how i find the missing angle on this thing
Answers
Answer:
70°
Step-by-step explanation:
a + 90 + 20 = 180 {Angles in straight line}
a + 110 = 180
a = 180 - 110
a = 70
The simplest polynomial function with zeros 7, square root 13 and 27i would be of what degree
Answers
Answer:
The simplest polynomial function is [tex]y = x^{4}-(7+\sqrt{13})\cdot x^{3}+(27+7\sqrt{13})\cdot x^{2}-(189+27\sqrt{13})\cdot x + 189\sqrt{13}[/tex].
Step-by-step explanation:
A n-th order polynomial in factorized form is defined by:
[tex]y = (x-r_{1})\cdot (x-r_{2})\cdot ...\cdot (x-r_{n-1})\cdot (x-r_{n})[/tex] (1)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]r_{1}[/tex], [tex]r_{2}[/tex],..., [tex]r_{n-1}[/tex], [tex]r_{n}[/tex] - Roots of the polynomial.
We know that three roots, two real and a complex root. By Quadratic Formula, a second order polynomial has two conjugated complex number of the form [tex]a + i\,b[/tex] and [tex]a - i\,b[/tex]. Hence, there is an additional zero: [tex]-i\,27[/tex].
By applying (1), we have the following polynomial when all roots are used:
[tex]y = (x-7)\cdot (x-\sqrt{13})\cdot (x-i\,27)\cdot (x+i\,27)[/tex]
By factorization and algebraic handling we have the simplest polynomial function:
[tex]y = [x^{2}-(7+\sqrt{13})\cdot x +7\sqrt{13}]\cdot (x^{2}+27)[/tex]
[tex]y = x^{2}\cdot (x^{2}+27)-(7+\sqrt{13})\cdot [(x^{2}+27)]\cdot x+7\sqrt{13}\cdot (x^{2}+27)[/tex]
[tex]y = x^{4}+27\cdot x^{2}-(7+\sqrt{13})\cdot x^{3}-(7+\sqrt{13})\cdot 27\cdot x +7\sqrt{13}\cdot x^{2}+189\sqrt{13}[/tex]
[tex]y = x^{4}-(7+\sqrt{13})\cdot x^{3}+(27+7\sqrt{13})\cdot x^{2}-(189+27\sqrt{13})\cdot x + 189\sqrt{13}[/tex]
The simplest polynomial function is [tex]y = x^{4}-(7+\sqrt{13})\cdot x^{3}+(27+7\sqrt{13})\cdot x^{2}-(189+27\sqrt{13})\cdot x + 189\sqrt{13}[/tex].
Subtract - 2x – 10 from 10x2 + 3.
Answers
Answer:
Step-by-step explanation:
2x—33
Abu solved 231 multiplication problems. Later, he also solved 131 divison problems. How many more mutiplication problems than divison problems did Abu solve?
Answers
A T-Shirt cannon can launch 5 shirts in 20 minutes, how many can it launch in 60 minutes?
Answers
Answer:
15
Step-by-step explanation:
5 - 20
10 - 40
15 - 60
Answer:
15
Step-by-step explanation:
because if you double 20 two more times you get 60 so then had 5 three times you get 15
please help
thank u!
Answers
PlZ HELP WILL GIVE BRAINLIEST .....THANKYOU
Answers
Answer: 3/4
Step-by-step explanation:
Slope formula is y2-y1 / x2-x1 or in this case 7-4 / 1--3 which equals = 3/4
Answer:
m=3/4
Step-by-step explanation:
One of the local homeless shelters received a donation of 852 blankets to help support the homeless population during the harsh winter months. They plan on distributing them to all 7 of the local shelters. How many blankets will each shelter get? Will there be any leftover? If so, how many?
Answers
Answer:
Each shelter would get 121 blankets
And there would be 5 blankets left over
Step-by-step explanation:
One of the local homeless shelters received a donation of 852 blankets to help support the homeless population during the harsh winter months. They plan on distributing them to all 7 of the local shelters. How many blankets will each shelter get? Will there be any leftover? If so, how many?
From the above question
7 local shelters = 852 blankets
1 local shelters = x blankets
Cross Multiply.
7x = 852 blankets
x = 852 blankets/7
x = 121 5/7 blankets
Therefore, Each shelter would get 121 blankets
And there would be 5 blankets left over
How much more does the 5-year loan cost overall than the 4-year loan?
Answers
Answer:
$600 overall
Step-by-step explanation:
Answer:
$600 more overall
Step-by-step explanation:
i'm great at math
Angles A and Care supplementary. Find the measure of angle C.
There is a picture
Answers
Answer:
106 degrees
Step-by-step explanation:
180 -74 = 106
The second option is correct i.e. [tex]m[/tex]∠C = 106 degrees.
What are supplementary angles?Two angles are said to be supplementary angles when they add up to 180 degrees.
Two angles are supplementary, if
a). one of its angle is an acute angle and another angle is an obtuse angle.
b). both of the angles are right angles.
This means that if A and B are the two angles then
[tex]m[/tex]∠A+[tex]m[/tex]∠B = 180 degrees
According to the given question we have
angles A and C are supplementary
and, [tex]m[/tex]∠A = 74 degrees
therefore,
the measure of angle C is calculated as
[tex]m[/tex]∠A + [tex]m[/tex]∠C = 180 degrees (sum of the supplementary angles)
74 + [tex]m[/tex]∠C = 180 degrees ( [tex]m[/tex]∠A = 74 )
[tex]m[/tex]∠C = (180 - 74)degrees ( subtracting 74 degrees both the sides)
[tex]m[/tex]∠C = 106 degrees
Hence, second option is correct i.e. [tex]m[/tex]∠C = 106 degrees.
Learn more about the supplementary angles here:
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can you guys help me?
Answers
a^2+b^2=c^2
So you would plug in your numbers that you already have (6 and 10) But notice that 10 is the hypotenuse (longest side) so
6^2+x=10^2
Then you would solve it and you should end up with 11.6619
Which ordered pair is a solution to the following inequality? Select all that apply. y > 7x −3
A. (2, 12)
B. (-3, -15)
C. (0, -3)
D. (1, 5)
Answers
a 2 12
la respuesta
a (2 212
Someone plz help me I will give brainliest
Answers
Answer:
I think it is D
Step-by-step explanation:
Write an equation in slope intercept form for the line that goes through points (1.4,0) and (1,-2)
Answers
Equation for slope = (y2-y1)/(x2-x1)
= (-2-0)/(1-1.4) = -2/-0.4 = 5
So we get y = 5x + c
Substitute the coordinate (1,-2) in the equation to find c:
-2 = 5(1) + c
c = -2-5 = -7
Equation of line is y = 5x - 7
Some customers have requested a shorter tour with fewer stops. All her tours need to start and end at point A. Suggest a shorter route that eliminates two or three stops from her current route. What is the length in miles of the route you suggest? Round to the nearest hundredth.
Answers
9514 1404 393
Answer:
ABDEF -- 0.82 miles
Step-by-step explanation:
The lengths in feet of each of the segments have been worked out in the attachment to this problem:
https://brainly.com/question/21623703
A shorter route could be one that leaves out stops C, G, H:
ABDEF has length (in feet) of ...
AB +BD +DE +EF +FA = 817.7 +512.8 +804 +803.77 +1370.4 = 4308.67
There are 5280 feet per mile, so the route in miles is ...
(4308.67 ft)/(5280 ft/mi) ≈ 0.82 mi
Shorter route ABDEF will have a length of 0.82 miles.
You are purchasing paint and paintbrushes
for an art project. Tubes of paint cost $6 each
and paintbrushes cost $8 each. You plan
on spending $60 and purchasing a total of
9 items. Which linear system best represents
the situation?
Answers
Answer:
(d) x + y = 9
6x + 8y = 60
Step-by-step explanation:
verify that 1,-1,-3 are the zeroes of the cubic polynomial x3+3x2-x-3 and check the relationship between zeroes and the coefficient
Answers
Answer: yea its 123445
Step-by-step explanation:
1,-1,-3 are the zeroes and the relationship between zeroes and the coefficient is verified.
What is a Polynomial?Polynomial, a mathematical expression made comprised of numbers and variables arranged in specific patterns.
As per the given data:
We are given the equation of a cubic polynomial x³ + 3x² - x - 3.
The zeroes of the given cubic polynomial are also given.
We have to verify that the zeroes of the cubic polynomial are correct, and they satisfy the relationship between zeroes and the coefficient.
For a polynomial p(x) is p(a) = 0 then a is a zero of p(x).
Checking the given zeroes similarly:
For 1:
1³ + 3(1)² - 1 - 3 = 0
1 + 3 - 1 - 3 = 0
0 = 0
1 is a zero
For -1:
(-1)³ + 3(-1)² - (-1) - 3 = 0
-1 + 3 + 1 - 3 = 0
0 = 0
-1 is a zero
For -3:
(-3)³ + 3(-3)² - (-3) - 3 = 0
-27 + 27 + 3 - 3 = 0
0 = 0
-3 is a zero
For ax³ + bx² + cx + d = 0, the sum of all the roots should be equal to
= (-b)/a
Similarly, for x³ + 3x² - x - 3:
1 + (-1) + (-3) = (-3)/1
1 - 1 - 3 = -3
-3 = -3
1,-1,-3 are the zeroes and the relationship between zeroes and the coefficient is verified.
Hence, 1,-1,-3 are the zeroes and the relationship between zeroes and the coefficient is verified.
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What is the slope (1,3) and (5,4)
Answers
Answer:
1/4
Step-by-step explanation:
y2-y1
--------
x2-x1
(x , y)
(1 , 3)
(5 , 4)
4-3=1
--------
5-1=4
Liz and Rick are squeezing lemons for a lemonade stand. Liz squeezed 18 lemons in 6 minutes. Rick squeezed 24 lemons in 12 minutes. Who squeezed lemons at a faster pace?
A)liz
B)Rick
this is Compare rates: word problems please show and explain the work show WORK
Answers
This is from pre calc
Answers
Answer:
The dimensions are 106, 47,116
Step-by-step explanation:
[tex]when \: {(x + 10)}^{2} = {y }^{2} + {x}^{2} \\ then \: {y}^{2} = {(x + 10)}^{2} - {x}^{2} \\ {y}^{2} = {x}^{2} + 20x + 100 - {x}^{2} \\ {y}^{2} = 20x + 100 \\ then \: y = \sqrt{20x + 100} \\ when \\ area \: of \:rectangular \: = x \times y \\ then \\ x \times \sqrt{20x + 100} = 5000 \\ Square \: both \: sides \\ {x}^{2} (20x + 100) = 25000000 \\ 20 {x}^{3} + 100 {x}^{2} - 25000000 = 0 \\ Using \: the \: analysis \\ x = 106 \: \: \: or \: x = - 55.5 \\ \: We \: reject \: the \: negative \: solution \: because \: there \: is \: no \: length \: in \: the \: negative \\ then \: the \: dimensions \: are \: \\ 106 \\ 47 \\ 116[/tex]
5. Does the graph represent a function? *
1 point
Yes
O No
Answers
x
x
value. The
y
y
value of a point where a vertical line intersects a graph represents an output for that input
x
x
value. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that
x
x
value has more than one output. A function has only one output value for each input value.
Answer:
No
Step-by-step explanation:
i did it on khan
A party rental company has chairs and tables for rent. The total cost to rent 6 chairs and 2 tables is 26$. The total cost to rent 3 chairs and 5 tables is 38$. What is the cost to rent each chair and each table?
Answers
Answer:
Chairs: 1.75 Tables: 8.50
Step-by-step explanation:
PLEASE HELP THIS IS ONE OF MY OVERDUE ASSIGNMENTS AND I NEED HELP!!!
Answers
So it’s 2
2x-10>-14
Pls help ASAP pls
Answers
Answer:
the answer should be x>-2
Answer:
download photo math
Step-by-step explanation:
+!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
When 3a + 7b > 2a - 8b is solved for a, the result is (A) a > -b (B) a -15b
Answers
Answer: 4
Step-by-step explanation:
Inequalities help us to compare two unequal expressions. When 3a + 7b > 2a - 8b is solved for a, the result is a>-15b.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
When the inequality 3a + 7b > 2a - 8b is solved, the solution will be,
3a + 7b > 2a - 8b
3a - 2a > -7b - 8b
a> -15b
Hence, When 3a + 7b > 2a - 8b is solved for a, the result is a>-15b.
Learn more about Inequality:
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18/5 - 18/7 plz help!!!
Answers
Change the denominator to 35
Then just minus
Answer:
1 1/35 as a mixed number, exact answer is 36/35
y +3 = x
3x + 4y = 16
Answers
Step-by-step explanation:
y+3=x
or 0=x-y-3... ans
3x+4y=16
or, 3x+4y-16=0 answer.......