Answer:
a. [tex]\frac{4\pi }{3}[/tex]
b. 240
Step-by-step explanation:
all you have to do to find a coterminal angle is to add or subtract 360 or [tex]2\pi[/tex] from the angle, so:
a. [tex]\frac{10\pi }{3} -2\pi =\frac{4\pi }{3}[/tex]
b. -120 + 360 = 240
Find the FACTORS of
36
Answer:
factors of 36 are 1,2,3,4,6,9,12,18,and 36
The 12th term of the arithmetic sequence is 10.5. The 18th term of this sequence is 13.5. Find the common difference and the first term.
let the n'th term be called x, and the value of the term y,
then there is a function y=a*x + b
that will give us all term we want.
this formula is also used for straight lines.
we just need a and b. we already got two data points. we can just plug the known x/y pairs into the formula
10.5 = a*12 + b
13.5 = a*18 + b
now lets manipulate these lines.
multiply the first line by 3 and the second line by 2
31.5 = a*36 + 3b
27 = a*36 + 2b
subtract the second line from the first line
4.5 = b
yey, we now know b, let's plus b into either line from above, I'll go with the first one, looks easier.
10.5 = a*12 + 4.5
6 = a*12
0.5 = a
now y=a*x + b can be filled with a and b
y = 0.5 * x + 4.5
for x=1 (the first term) it's f(1)=5
each step is 0.5, hence the common difference.
2and way:(13.5-10.5)/(18-12)
= 3 / 6
= 0.5
we got the comment difference by looking at the full difference over 6 steps and divined by these 6 steps.
from step 12 to step one it's 11 steps down
10.5 - 0.5*11
= 10.5 - 5.5
= 5
okay I admit... 2and way to do it might be faster and more intuitive... :DFind the length of the segment indicated. Round your answer to the nearest 10th of necessary.
Answer:
Step-by-step explanation:
Just using pythagorean theorem,
13.2²+16.9²=c²
174.24+285.61=c²
c²=√459.85
c= 21.4441134114
c = 21.4 (nearest tenth)
Consider the following points. (−4, −1) and (4, 2) Let Y'O' be the image of YO after a reflection across line . Suppose that ′ is located at (1, 4) and ′ is located at (−2, −4). Which of the following is true about line ?
The line was reflected about the line y = -x.
-----------------------------------------
This question is solved using reflection concepts.
There are various kinds of reflections, 90º clockwise about the origin, 90º counterclockwise, among other, and each of them has a rule.
-----------------------------------------
In this question:
Point (-4,-1) became (1,4).Point (4,2) became (-2,-4).From this, we have the following rule: (x,y) -> (-y,-x)
Checking the rules, it can be said that the line was reflected about the line y = -x.
A similar question can be found at https://brainly.com/question/16130908
Man spends 1/5 of his salary on shoes and 2/3 on school fess what fraction of his salary is left
whats the value of x in the formula x = 2(alb) - 4c if a = 12, b =3, and a c=1?
Answer:
just input all values as told...
x = 2 (12)(l)(3) - 4(1)
so x = 72 l - 4
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\text{x = 2(alb) - 4c}[/tex]
[tex]\huge\text{x = 2((12)(l)(3)) - 4(1)}[/tex]
[tex]\huge\text{x = 2(l)(36) - 4(1) }[/tex]
[tex]\huge\text{x = 72l - 4}[/tex]
[tex]\huge\boxed{\textsf{Answer: x = 72l - 4}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
Geometry edulastic question
9514 1404 393
Answer:
n = 16
Step-by-step explanation:
Angle ABC is the sum of its parts.
∠ABC = ∠ABF +∠FBC
159° = (7n +20)° +(2n -5)°
159° = 9n° +15° . . . . . . . . . . . . . . collect terms
144° = 9n° . . . . . . . . . . subtract 15°
16° = n°
n = 16
√2+1
b) Rationalize the denominator:
√2+1
Answer:
there is not a complete question here ...
[tex]\sqrt{2} +1[/tex] is not in a denominator to rationalize
if it were you would multiply the rational expression (the fraction)
by [tex]\frac{\sqrt{2} -1}{\sqrt{2} -1}[/tex] the result (in the denominator would end up being "2 -1"
which is 1
Step-by-step explanation:
Can some one help me answer this
7. √9
√9 is a rational number because √9 = 3 = 3/1.
8. No, there is no integer between -6 and -7.
9. π
π is an irrational number
10. I purchased a hair-dryer for 5,400 including 8% VAT. Find the price before VAT was added.
Answer:
4968
Step-by-step explanation:
432 is 8% of 5400 and after deducting 432 we get 4968.
Solve the equation for all values of x.
(22 – 16)(x2 + 49) = 0
Please help
Answer:
-24.5 or 7i or -71 (see below)
Step-by-step explanation:
Im gonna guess that you mean (22-16)(2x+49)=0
Therefore, since one of the brackets must be equal to 0 and 22-16 is 6, 2x+49=0 so x is -24.5
However, if you meant (22-16)(x^2+49)=0
then x^2+49=0 so x^2 =-49
Therefore, the answer is complex and therefore 7i or -7i
Help. ME. confused!
Write an expression in simplified form for the area of each rectangle. Width: 11 Length: 3x+2
Answer:
33x+22
Step-by-step explanation:
The area of a rectangle is
A = l*w where l is the length and w is the width
A = 11(3x+2)
Distribute
= 33x+22
Area of rectangle = Length * Width
Length is 3x+2Width is 11⇛Area = 11(3x+2)
⇛Area = 33x + 22
what is an equation in point-slope form of the line that passes through (-5,-3) and has a slope of negative 1
Answer:
Y= -x-8
Step-by-step explanation:
Hope this helps
Answer:
y + 3 = - (x + 5)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = - 1 and (a, b ) = (- 5, - 3 ) , then
y - (- 3) = - 1 (x - (- 5) ) , that is
y + 3 = - (x + 5)
Question 15
Last season Derek Jeter had 500 at bats and got 160 hits. What was Jeter's batting average?
Answer:
3.125 was Jeter's batting average
Step-by-Step Explanation:
Just divide his bat number with the total hits
So, ---> 500 at bats / 160 hits
500/160 = 3.125
Ok ong i'm struggling and need help i've been up all night- Ill give brainlyest!!
Solve the following problems below. Find the variable and show your work
1.) 7(6x-1)+x=36
2.) 11-2(8+3p)=7²
3.) 1/4(5b+11)=19
4.) 2/7(4m-18)=12
Answer:
1- 91315Step-by-step explanation
- 7(6x-1)+x=36
=> 42x - 7 + x = 36=> 43x - 7 = 36=> 43x = 36 + 6 = 43=> x = 43 / 43 = 1- 11-2(8+3p)=7²
=> 11 - 16 - 6p = 7^2=> 11 - 16 - 6p = 49=> -5 - 6p = 49=> -6p = 49 + 5 = 54=> p = (54) / (-6) = - 9- 1/4(5b+11)=19
=> (5/4)b + (11/4) = 19=> (5/4)b = 19 - (11/4) = 65 /4=> b = (65/4) / (5/4) => (65/4) * (4/5) = 13- 2/7(4m-18)=12
=> (8/7)m - (36/7) = 12=> (8/7)m = 12 + (36/7) = 120/7=> m = (120/7) / (8/7) = 120 /8 = 15
the unknown side of a trapezium.
Answer:
11 mm
Step-by-step explanation:
121=area of a rectangle and area of triangle
121=x*8+(0.5)*x*(14-8), 11x=121, x=11
Answer:
[tex]11mm[/tex]
Step-by-step explanation:
Let the unknown side be x
[tex]Area \: \: \: of \: \: the \: \: trapezium = \frac{1}{2} \times (sum \: \: of \: \: \: the \: \: parallel \: sides) \times height \\ 121= \frac{1}{2} \times (8 + 14) \times x \\ 121 \times 2 = 22x \\ 242 = 22x \\ \frac{242}{22} = \frac{22x}{22} \\ 11 = x[/tex]
2. Find F(x)+g(x)
4 options to pick from
Answer:
first option
3x³ - 6x - 4
HOPE IT HELPS YOU
THANK YOU
Fermat fc won 45% of the 60 games they played last season. How many games did fermat fc win last season
Answer:
Fermat FC won 27 games.
Step-by-step explanation:
Convert percentage to fraction
45% --> 45/100
Multiply the fraction by the dividend
45/100 x 60 = 27
Can some some help me with this one?
Answer: 7.5 x 10^3 is the answer.
Step-by-step explanation: First, 7.5 x 10^9 is 7500000000. Next, if you convert it to kilometers you would get 7500. And, 7.5 x 10^3 = 7500. Thus, that is the answer.
3(t-3)=5(2t+1) solve the following linear equations
Step-by-step explanation:
3(t-3)=5(2t-1)
= 3t-9=10t-5
= 3t-10t = -5+9
= -7t = 4
= -t = 4/7
= - 4/7 Answer
hope it helps
HELPPP! Pleaze I will give 30 points!
Triangle XYZ has vertices at X(-2, 3), Y(3, 0), and Z(2, 1). What are the coordinates of the image of Triangle XYZ after the translation (x, y) --> (x + 3, y + 1)?
Answer:
u need my help OK bet
Step-by-step explanation:
so heres tge answer
Answer:
is it x(1,4) y(6,1) z(5,2)
give brainliest
Find 3 solutions to the equation y = −4x −1
Answer:
(0,-1)
(1,-5)
(2,-9)
Step-by-step explanation:
y = −4x −1
Let x=0
y = 0-1 = -1 (0,-1)
Let x = 1
y = -4(1) -1 = -4-1 =-5 (1,-5)
Let x = 2
y = -4(2) -1 = -8-1 =-9 (2,-9)
abc or d please help me!
Answer:
A
Step-by-step explanation:
Cuz that’s the only graph that goes with the statement.
on this graph it’s saying the cost of 3 hair accessories is $10.
X = 3
Y = 10
this is geometry. hi i need help pls.
Answer:
Step-by-step explanation:
Answer:
B is the answer
Step-by-step explanation:
e. What order will result in a final output of 36 when the initial input is 1/7?
Answer:
5
Step-by-step explanation:
7x5=35
the remainder is 1
=5.1
the nearest number is 5
A net is a two-dimensional pattern that can be folded to form a three-dimensional surface. T/F
Answer: True
Explanation:
Consider a 3D cardboard box that you can unfold. It would unfold into a 2D net that you can then re-fold back into its 3D form. The 2D net is useful to help visualize and calculate the surface area. The surface area is simply the total area of all the external faces.
HELP!!!!! PLEASE!!!!
PLZ HELP I KINDA NEED THIS PLZ
Select the correct answer. The function f(x) = x2 is graphed above. Which of the graphs below represents the function g(x) = (x + 1)2?
A. W
B. X
C. Y
D. Z
Answer:
It's is C. Y
Step-by-step explanation:
There is the graph and you can see it by yourself :)
Mrs Dlamini bought a 10kg bag of rice. She cooks 500g of rice per day. How many days will the bag of rice last her family
Answer:
20 days
Step-by-step explanation:
10kg= 10,000g
10,000g/500g= 20 days
Answer:
20 days
Step-by-step explanation:
1 kg=1000 grams
10 kg=10000 grams
10000÷500
=20 days