Answer:
Ф=144
Ф =s/r ( Ф is the central angle,s is the arc length, r is the radius)
find r:
radius =circumference/2π=1/2π=0.16
Ф=(2/5) /(1/2π)=4π/5=144 degree (π=180)
Ф in degrees: 144 degrees
Haley and Cameron buy nuts from the health store. Each bag of nuts has 0.1 pound of nuts inside. Hayley buys 4 bags. Cameron buys 14 bags. How many pounds of nuts do Haley and Cameron have together?
Answer:
1.8 pounds
Step-by-step explanation:
All you have to do is multiply 0.1 * 4, and then 0.1 * 14. Once you get the products, you can just add them together to get 1.8 pounds
Solve this system of linear equations. Separate
the x- and y-values with a comma.
5x + 7y = -34
10x + 17y = -89
Answer:
(-9.6,2)
Step-by-step explanation:
hope i helped
pls can i get brainliest
-Zylynn
I need the answer now
Answer:
i) TRUE
ii) TRUE
iii) TRUE
Step-by-step explanation:
[tex](ab+bc)(ab-bc)+(bc+ca)(bc-ca)+(ca+ab)(ca-ab)=\\\\=\underline{(ab)^2}-(bc)^2\ \,+\ \,(bc)^2-(ca)^2\ \,+\ \,(ca)^2-\,\underline{(ab)^2}=\\\\=0+0+0=0[/tex]
[tex](a+b+c)(a^2+b^2+c^2-ab-bc-ca)=\\\\=a^3\,\underline{\,+ab^2}\ \underline{\underline{+\,ac^2}}\,-a^2b\ -\,abc\ \underline{\underline{\underline{-\,a^2c}}}+a^2b+b^3+bc^2\,\underline{-\,ab^2}\ \underline{\underline{\underline{ \underline{-\,b^2c}}}}\,-\,abc+\\{}\qquad\qquad\qquad\qquad\qquad\qquad \qquad\qquad \underline{\underline{ \underline{+\,a^2c}}}\ \underline{\underline{\underline{\underline{+\,b^2c}}}}+c^3\,-\,abc-bc^2\ \underline{\underline{-c^2a}}=[/tex]
[tex]=a^3\ \underline{-\,a^2b}\ \underline{\underline{-\,abc}}\ \underline{+\,a^2b}+b^3\ \underline{\underline{\underline{+\,bc^2}}}\ \underline{\underline{-\,abc}}+c^3\ \underline{\underline{-\,abc}}\ \underline{\underline{\underline{-\,bc^2}}}=\\\\=a^3+b^3+c^3-3abc[/tex]
[tex](p-q)(p^2+pq+q^2)=\\\\=p^3\ \underline{+\,p^2q}\ \underline{\underline{+\,pq^2}}\ \underline{-\,p^2q}\ \underline{\underline{-\,pq^2}}-q^3=\\\\=p^3-q^3[/tex]
Answer: see proofs below
Step-by-step explanation:
7i) (ab + bc)(ab - bc) = a²b² - ab²c + ab²c - b²c² → a²b² - b²c²
+ (bc + ca)(bc - ca) = b²c² - abc² +abc² - a²c² → b²c² - a²c²
+ (ca + ab)(ca - ab) = a²c² - a²bc + a²bc - a²b² → a²c² - a²b²
= a²b² + 0 + 0 - a²b²
= 0
7ii) a(a² + b² + c² - ab - bc - ca) = a³ + ab² + ac² - a²b - abc - a²c
+ b(a² + b² + c² - ab - bc - ca) = b³ - ab² + bc² + a²b - abc - b²c
+ c(a² + b² + c² - ab - bc - ca) = c³ - ac² - bc² - abc + a²c + b²c
= a³ + b³ + c³ + 0 + 0 + 0 + 0 - 3abc + 0 + 0
= a³ + b³ + c³ - 3abc
7iii) p(p² + pq + q²) = p³ + p²q + pq²
-q(p² + pq + q²) = - p²q - pq² - q³
= p³ + 0 + 0 - q³
= p³ - q³
(a) Complete the statements below about the graphs of y = -x and y=x.
Compared to the graph of y=x, the graph of y=-x is Choose one
Compared to the graph of y=x, the graph of y = -x intersects the y-axis at Choose one
2
(b) Complete the statements below about the graphs of y=x+
and y=x.
3
2
Compared to the graph of y = x, the graph of y=x+ 5 is Choose one
2
Compared to the graph of y=x, the graph of y=x+
3
intersects the y-axis at Chonse one
a higher point
the same point.
a lower point
Х
?
Answer:
this. question is not clear please send clear question
We can conclude that -
Graphs pass through the origin. (y = x) has a slope of +1 while (y = - x) has a slope of -1. The y - intercept of both the graphs will be 0.What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
y = mx also represents direct proportionality. We can write [m] as -
m = y/x
OR
y₁/x₁ = y₂/x₂
We have the following two functions -
y = -x
AND
y = x
Refer to the graphs attached for both the functions -
y = - x and y = x
The graphs as seen pass through the origin. One graph (y = x) has a slope of +1 while the other one (y = - x) has a slope of -1. The y - intercept of both the graphs will be 0.
We can conclude that -
Graphs pass through the origin. (y = x) has a slope of +1 while (y = - x) has a slope of -1. The y - intercept of both the graphs will be 0.To solve more questions on straight line, visit the link below-
https://brainly.com/question/29030795
#SPJ2
Divide 3x^4 - 4x^3 -3x -1 by x-1 Verify using division algorithm Steps please thanks
Answer:
3x³ − x² − x − 4 + (-5/(x−1))
Step-by-step explanation:
Use long division (see attached picture).
John is planning a party. There are 28 pieces of carrot cake and 7 pieces of marble cake. He wants to create plates with the same number of each type of cake. What is the greatest number of plates he can create?
Answer:
Hey there!
He can create 7 plates at most, with one carrot cake and one marble cake on each plate.
Hope this helps :)
Job A3B was ordered by a customer on September 25. During the month of September, Jaycee Corporation requisitioned $3,200 of direct materials and used $4,700 of direct labor. The job was not finished by the end of September, but needed an additional $3,700 of direct materials and additional direct labor of $7,900 to finish the job in October. The company applies overhead at the end of each month at a rate of 150% of the direct labor cost incurred. What is the balance in the Work in Process account at the end of September relative to Job A3B?
Answer: $14,950
Step-by-step explanation:
Given: Cost of Direct Materials = $3,200
Cost of direct labor = $4,700
Overhead rate = 150%
So, Overhead cost = 150% x (Total direct labor cost)
= $(150% x 4,700) =$ ( 1.5 x 4,700) [150% = 1.5]
= $7,050
Work in Progress = Direct Materials + Direct labor + Overhead
= $(3,200+4,700+7,050)
=$14,950
Hence, the balance in the Work in Process account at the end of September relative to Job A3B = $14,950
Please answer this question now
Step-by-step explanation:
hope it will help you..........
Answer:
14 ftStep-by-step explanation:
A radius to the tangent point always forms a right angle with the tangent.
m∠MNP = 90° so we can use Pythagorean theorem:
[tex]MN^2+NP^2=MP^2\\\\MN^2+48^2=50^2\\\\MN^2+2304=2500\\\\MN^2=196\\\\MN=\sqrt{196}\\\\MN=14\,ft[/tex]
Given the functions k(x) = 2x2 − 7 and p(x) = x − 4, find (k ∘ p)(x). (k ∘ p)(x) = 2x2 − 8x + 16 (k ∘ p)(x) = 2x2 − 16x + 32 (k ∘ p)(x) = 2x2 − 16x + 25 (k ∘ p)(x) = 2x2 − 11
Answer:
(k ∘ p)(x) = 2x² - 16x + 25Step-by-step explanation:
k(x) = 2x² - 7
p(x) = x - 4
To find (k ∘ p)(x) substitute p(x) into k(x),
that's replace any x in k(x) by p(x)
We have
(k ∘ p)(x) = 2(x - 4)² - 7
Expand
(k ∘ p)(x) = 2( x² - 8x + 16) - 7
= 2x² - 16x + 32 - 7
Simplify
We have the final answer as
(k ∘ p)(x) = 2x² - 16x + 25Hope this helps you
Answer:
(k ∘ p)(x) = 2x² - 16x + 25
Step-by-step explanation:
hope this helps
Identify the x-intercept and y-intercept of the line 4x−2y=−12. Select one: a. The x-intercept is (0,-3) and the y-intercept is (6,0). b. The x-intercept is (-3,0) and the y-intercept is (0,6). c. The x-intercept is (4,0) and the y-intercept is (0,-2). d. The x-intercept is (0,6) and the y-intercept is (-3,0).
Answer:
The answer is option BStep-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the y intercept rewrite the equation in the above form
That's
4x - 2y =- 12
2y = 4x + 12
Divide both sides by 2
y = 2x + 6
comparing with the above formula the y intercept is 6
That's
(0 , 6)
The x intercept of a line the x coordinate on the line when y = 0
To find the x intercept let y = 0
That's
2x + 6 = 0
2x = - 6
Divide both sides by 2
x = - 3
The x intercept is - 3
That's
(- 3 , 0)
Hope this helps you
Answer:
the answer is x=-3 and y=6 so that means it is B.
4x-2y=-12
then; plug in 0 for x and then solve;
y=6
then do the same for the other side. plug in 0 for y and then solve.
x=-3
Hope this helps!
Multiply (3x-2) (2x+3)
Answer:
6x^2 + 5x + 6
Step-by-step explanation:
Distributive property
Answer:
=6x^2+5x−6
Step-by-step explanation:
Using the foil method, 3x*2x+3x*3+-2*2x+-2*3
how to do this question plz
Answer:
48.
Step-by-step explanation:
[tex]\frac{24\sqrt{72} }{3\sqrt{2} }[/tex]
= (24 / 3) * [tex]\frac{\sqrt{72}} {\sqrt{2} }[/tex]
= 8 * [tex]\frac{\sqrt{72} * \sqrt{2}} {\sqrt{2} * \sqrt{2} }[/tex]
= 8 * [tex]\frac{\sqrt{144}} {2}[/tex]
= 8 * (12 / 2)
= 8 * 6
= 48.
Hope this helps!
Please help me solve this problem
Answer:
iv, ii, i, iii, vi, v
Step-by-step explanation:
First, it is better if you fix all of these into fractions:
2/3--> 0.6666
-4/5--> -0.8
7/4--> 1.75
-21/8--> -2.625
11/4--> 2.75
root 5--> 2.24...
Hope this helps!!
Help, I need answer ASAP
Step-by-step explanation:
HL states that a hypotenuse and leg of a right triangle must be congruent, so you would need to know the hypotenuses are congruent and a leg is congruent. For 6, You're only given 2 sides instead of 3, and since this is a Side-Side-Side Postulate, you must have the third sides be congruent. For 7, Angle-Side-Angle requires to known congruent angles and a side in between them, so you would need to know that angle I is congruent to angle L. Lastly, Side-Angle-Side needs two sides and an angle between them, so you would need to know that side JI is congruent to HD. HI is already congruent to itself by the Reflexive Property, so you only need to know JI ≅ HD.
∆ABC is an equilateral triangle. Find the angle of rotation that maps A to B.
Plz give an explanation and correct answer to get brainliest
Answer:
120
Step-by-step explanation:
Know that in a rotation, unless stated otherwise, it's always going clockwise. Knowing this, you'd only have to turn your triangle one time, and since its interior angles are 120 each, your answer is 120. Hope this helps!
hamid has three boxes of different fruits. Box A weighs 5/4 kg more than Box B and Box C weighs 41/4 kg more than Box B. The total weight of the three boxes is 195/4 kg. What is weight of box a
Answer:
The answer is 39 kg
Step-by-step explanation:
We are looking for the weight of box A so we will use the number given to use for Box A.
We also have the total which is 194/4 kg
If we divide 195 by 5 we will get 39 kg
But to check if your answer is correct also divide 195 by 41 and that will give us 4.75 kg
And if you add the two answers up your will get 43.75 kg
Now we need to find the weight of Box B to see if our answer is correct
When you subtract 43.75 from 195 you will get 151.25
When we will add 43.75 to 151.25 you will get 195
So the answer is correct, the answer is 39 Kg
what is the volume of the frustrum
Answer:
258.47
Step-by-step explanation:
v=πr²h/3
=π4.2 ×14/3
=258.615
Find the product.
2a2(5b2+3ab+6a+1)
PLEASE HELP!!!! ASAP!!!
Answer:
[tex]10a^{2} b^{2} +6a^{3} b+12a^{3} +2a^{2}[/tex]
Step-by-step explanation:
i need help im confused on how to do this. need correct answer
Answer:
11√6
Step-by-step explanation:
5√6 +6√6 will equal to 11√6, because since √6 is the same, you just add the number on the outside
-7
-4
-1
-2
y
7
14
35
56
slope:
Answer:
write the question correctly so I can help you
Step-by-step explanation:
Which function is graphed below?
Answer:
The answer is f(x) = -sin(x) as you can see in the graph below
Step-by-step explanation:
Please answer ASAP. The question is down below.
Answer: 1) c 2) a 3) d
Step-by-step explanation:
[tex]\cos \theta = \dfrac{adjacent}{hypotenuse}\quad \\\\\\\cos 42.1=\dfrac{4.7}{x}\\\\\\x=\dfrac{4.7}{\cos 42.1}\\\\\\\large\boxed{x=6.33}\\[/tex]
******************************************************************************************
Reference angle is the angle measurement from the x-axis. There is no such thing as a negative reference angle.
-183° is 3° from the x-axis so the reference angle is [tex]\large\boxed{3^o}[/tex]
*******************************************************************************************
Coterminal means the same angle location after one or more rotations either clockwise or counter-clockwise.
To find these angles, add or subtract 360° from the given angle to find one rotation, add or subtract 2(360°) from the given angle to find two rotations, etc.
To find ALL of the coterminals, add or subtract 360° as many times as the number of rotations. Rotations can only be integers. In other words, you can only have ± 1, 2, 3, ... rotations. You cannot have a fraction of a rotation.
Given: 203°
Coterminal angles: 203° ± k360°, k ∈ I
Find ln 5.1 to the nearest thousandth
Answer:
5.1.
Step-by-step explanation:
5.1 = 5.1000. You would then round down to find the nearest thousandth, which is 5.1.
Hope this helps!
Answer:
Step-by-step explanation:
5.1
Please Answer The Mean! {NO EXPLANATION NEEDED!} <3
total frequency divided by no. of goals
30 ÷ 5
6
factor x^5y^2+x^2y^5
Answer:
x^2y^2(x+y)(x^2-xy+y^2)
Step-by-step explanation:
x^5y^2+x^2y^5
Factor out the greatest common factor
x^2y^2( x^3+y^3)
Apply the Sum of Cubes Formula x^3+y^3 =(x+y)(x^2-xy+y^2)
x^2y^2(x+y)(x^2-xy+y^2)
Answer:
The answer is
x²y²( x + y)(x² - xy + y²)Step-by-step explanation:
[tex] {x}^{5} {y}^{2} + {x}^{2} {y}^{5} [/tex]
To factorize the expression first factor
x²y² out
We have
x²y²( x³ + y³)
Using the expression
a³ + b³ = ( a + b)(a² - ab + b²)Factorize the terms in the bracket
So we have
x³ + y³ = ( x + y)(x² - xy + y²)
Combine the expressions
We have the final answer as
x²y²( x + y)(x² - xy + y²)Hope this helps you
If f(x)=3x-1 and g(x)= x+2 find (f-g)(x)
Answer:
[tex]\boxed{2x-3}[/tex]
Step-by-step explanation:
[tex]f(x)=3x-1\\ g(x)= x+2[/tex]
[tex](f-g)(x)\\f(x)-g(x)[/tex]
[tex](3x-1)-(x+2)\\ 3x-1-x-2\\2x-3[/tex]
write the equation of the parabola in vertex form.
Answer:
y = (x - 2)²
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (2, 0) , thus
y = a(x - 2)² + 0
To find a substitute the y- intercept (0, 4) into the equation
4 = a(- 2)² = 4a ( divide both sides by 4 )
a = 1
y = (x - 2)² ← equation of parabola in vertex form
Which statements best describe the data? help plz
Answer:
the data is constructed around 6 and 1 is the outlier
Step-by-step explanation:
Need help ASAP find the value of x
Answer:
32 degrees
Step-by-step explanation:
The interior angles of a triangle always add up to 180.
Subtract the sum of 106 and 42 from 180.
180-(106+42)
180-(148)
32
x is equal to 32 degrees.
The table below lists some of the characteristics of the houses on Katrina’s street. Characteristics of Homes For Sale on Katrina’s Street Bedrooms Acres of land Sale price Appraised value Property tax 2 0.17 $230,000 $200,000 $1,220 2 0.20 $210,000 $220,000 $1,232 3 0.20 $275,000 $250,000 $1,400 4 0.24 $275,000 $275,000 $1,540 4 0.52 $360,000 $310,000 $1,736 4 0.75 $350,000 $320,000 $1,792 5 1.23 $375,000 $350,000 $1,960 Which relationship describes a function?
HERE YOU GO!!!!!!!!!!
Answer:
D
Step-by-step im not Shure but I think its D