Answer:
9a. GCF: 16. LCM: 960
9b. GCF: 55. LCM: 275
9c. GCF: 24. LCM: 114
9d. GCF: 40. LCM: 600
10a. GCF: 120. LCM: 1440
10b. 10, 2, 5, 20
10c. 2880, 4320, 5760, 7200
what is the answer to the problem
Solve for x: 6sin^2x+2sin^2x=1 fir - 90<x<90
Answer:
Here we have the equation:
6*sin²(x) + 2*sin²(x) = 1
and we want to find a solution in the range:
-90° < x < 90°
First, we can take the sin²(x) as a common factor to get:
6*sin²(x) + 2*sin²(x) = (6 + 2)*sin²(x) = 1
8*sin²(x) = 1
now we can divide both sides by 8
sin²(x) = 1/8
now we can apply the square root to both sides:
√(sin²(x) = √(1/8)
sin(x) = √(1/8)
Now remember the inverse sine function, Asin(x)
such that:
Asin( sin(x) ) = sin( Asin(x) ) = x
If we apply that to both sides, we get:
Asin( sin(x) ) = Asin(√(1/8))
x = Asin(√(1/8)) = 20.7°
x = 20.7°
please answer asap ------------------ ------------------ ------------------ ------------------
Answer:
Answer :
It's 3v - 9/2
Step-by-step explanation:
....
2(5x-3)=24
find what x is?
Answer:
x = 3
Step-by-step explanation:
2(5x - 3) = 24
Divide both sides by 2.
5x - 3 = 12
Add 3 to both sides.
5x = 15
Divide both sides by 5.
x = 3
Here is a Venn diagram.
a) Write down the numbers that are in set
А.
B
16
(i) AUB 8,14, 17, 16, 9, 15
8
14
9
(ii) A B 14,17
17
15
13
12
10
11
One of the numbers in the diagram is
chosen at random.
b) Find the probability that the number is in
set A, giving your answer as a decimal.
Answer:
0.7
Step-by-step explanation:
.
Answer: b) 0.7
Just copy that into mathswatch :>
Evaluate the expression 42 +6.52 – 33 = 32,
lidentify the domain of the function shown in the graph
O A 15257
O B. 19334
O C. 221
O D. All real numbers
Answer:
B.
Step-by-step explanation:
the visible line is the defined function.
this line goes from x=1 to x=4, and has the functional results from y=1 to y=7.
the domain is the valid interval of the input variable (typically x), while the range is the valid inescapable of the result variable (typically y).
so, B is the right answer.
Why does it say your phone is being attacked and then said something with 26 when I go on a website is it lying or do I have a virus?
Answer:
If you go to a website that has a red (or orange) triangle with an exclamation mark next to the link, it's an untrusted site. The things you list (your phone is being attacked and then said something with 26..) are likely to be scam ads (probably viruses). Therefore, I do not recommend you to click the ads or enter that site again.
During the last ten years oliver has played 1200 games of chess oliver has drawn 6% of the games he has lost 33% of the game calculatehow many games og chess oliver won
Answer:
6+33=39 now we subtract from 100
100-39=61
He won 61 percent of the games
now we multiply 1200*0.61=732
so he won 732 of the 1200 games
Hope This Helps!!
Thank you for the help!
Answer:
see explanation
Step-by-step explanation:
cosM = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{MN}{LM}[/tex] = [tex]\frac{8}{17}[/tex]
sinM = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{LN}{LM}[/tex] = [tex]\frac{15}{17}[/tex]
tanM = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{LN}{MN}[/tex] = [tex]\frac{15}{8}[/tex]
POINTS!!
Draw a diagram of the archway modeled by the equation y = -x2 + 5x + 24. Find and label the y-intercept and the x-intercepts on the sketch. Then find and label the width of the archway at its base and the height of the archway at its highest point, assuming the base of the archway is along the x-axis.
Answer:
1) Please find the attached drawing of the archway created with MS Excel
2) The y-intercept is (0, 24)
The x-intercepts are (-3, 0), and (8, 0)
3) The width of the archway at its base is 11
The height of the archway at its highest point = 30.25
Step-by-step explanation:
The given function representing the archway is y = -x² + 5·x + 24
1) Please find attached the required drawing of the archway created with MS Excel
2) The y-intercept is given by the point where x = 0
Therefore, we have, the y-value at the y-intercept = -0² + 5×0 + 24 = 24
The y-intercept = (0, 24)
The x-intercept is given by the point where y = 0
Therefore, the x-values at the x-intercept are found using the following equation;
0 = -x² + 5·x + 24
x² - 5·x - 24 = 0
By inspection, we have;
x² - 8·x + 3·x - 24 = 0
x·(x - 8) + 3·(x - 8) = 0
∴ (x + 3) × (x - 8) = 0
Either (x + 3) = 0, and x = -3, or (x - 8) = 0, and x = 8
Therefore, the x-intercepts are (-3, 0), and (8, 0)
3) The width of the archway at its base = The distance between the x-values at the two x-intercepts
∴ The width of the archway at its base = 8 - (-3) = 11
The highest point of the arch is given by the vertex of the parabola, y = a·x² + b·x + c, which has the x-value of the vertex = -b/(2·a)
∴ The x-value of the vertex of the given parabola, y = -x² + 5·x + 24, is x = -5/(2×(-1)) = 2.5
Therefore;
The y-value of the vertex, is y = -(2.5)² + 5×2.5 + 24 = 30.25 = The height of the archway at its highest point
∴ The height of the archway at its highest point = 30.25.
Which statement describes the relationship between x and y?
As x increases, y decreases.
As x increases, y increases.
As x increases, y increases and then decreases.
As x increases, y decreases and then increases.
Answer:
as x increases, y increases
Step-by-step explanation:
Answer:
B. as x increases, y increases
Step-by-step explanation:
A rectangular sheet of paper is 12 1/2 cm long and 10 2/3 cm wide.Find it's perimeter
Answer:
Given
length of rectangular sheet of paper is 12 (1/2) i.e. (25/2)
Breadth of rectangular sheet of paper is 10 (2/3) i.e. (32/3)
But we know that perimeter of rectangle = 2 (length + breadth)
Perimeter of rectangular sheet = 2 [(25/2) + (32/3)]
LCM of 2 and 3 is 6,
by taking this and simplifying we get
Perimeter = 2[(25 × 3)/6 + (32 × 2)/6]
= 2[(75/6) + (64/6)]
= 2(139/6) = (139/3)
= 46 (1/3) cm
Answer:
Perimeter of rectangular sheet = 2 [(25/2) + (32/3)]
LCM of 2 and 3 is 6,
by taking this and simplifying we get
Perimeter = 2[(25 × 3)/6 + (32 × 2)/6]
= 2[(75/6) + (64/6)]
= 2(139/6) = (139/3)
= 46 (1/3) cm
Step-by-step explanation:
what is the answer of this questoin 2c-3b+6+7b-2b+11?
Answer:
[tex]2c+2b+17[/tex]
Step-by-step explanation:
-----------------------
Given:
[tex]2c-3b+6+7b-2b+11[/tex]
---------->>>>
Collect like terms.
[tex]2c+(-3b+7b-2b)+(6+11)[/tex]
---------->>>>
Simplify
[tex]2c+2b+17[/tex]
------------------------
Hope this is helpful.
Answer:
2c-2b+17 if using algebra
Step-by-step explanation:
firstly group like terms 2c+(-3b)+7b-2b+6+11
2c-2b+17
A rectangular price tag has a perimeter of 10 centimeters and an area of 6 square centimeters. What are the dimensions of the price tag?
Answer:
3 by 2
Step-by-step explanation:
3+2+3+2=10
3*2=6
Hope this Helps!!!
Solve for w. 15w+5w–15w+12= – 18 w=
Hello!
15w + 5w - 15w + 12 = -18 <=>
<=> 20w - 15w + 12 = -18 <=>
<=> 5w + 12 = -18 <=>
<=> 5w = -18 - 12 <=>
<=> 5w = -30 <=>
<=> w = -30 : 5 <=>
<=> w = -6
Good luck! :)
which expression is equal to sin w
Answer:
A. Cos S
Step-by-step explanation:
Recall: SOH CAH TOA
Sin W = Opp/Hyp
Opposite = 4
Hypotenuse = 5
Sin W = 4/5
Let's find the ratio for each option given to determine which gives us the same ratio as Sin W.
Option A: Cos S
Cos S = Adj/Hyp = 4/5
Option B: tan W
Tan W = Opp/Adj = 4/3
Option C: cos W
Cos W = Adj/Hyp = 3/5
Option D: sin S
Sin S = Opp/Hyp = 3/5
✔️Thus, sin W = cos S = 4/5
The correct option is A
plz help me with this
0
Step-by-step explanation:
maybe
Answer:
1) 0 miles
2) (0,0)
3) the cars speed is missing? 3 * speed would be this answer
4) (3, "3*speed" ) something like (3,30) if car was going 10mph
Step-by-step explanation:
Multiply the polynomial by distribution. Show your work and explain the steps you used to solve.
(a – 3)(a2 + 2a – 6)
help please
Hello,
Why "Multiply the polynomial by distribution" ?
It's s t u p i d, you compliquate the equation.
In order to find the roots of P(a)=(a-3)(a²+2a-6)=0
a²+2a-6
=(a²+2a+1)-7
=(a+1)²-7
=(a-√7)(a+√7)
P(a)=(a-3)(a-√7)(a+√7)
Roots are 3,√7 and -√7
(If i have well understood the question , sorry if not)
My teacher keeps saying it’s wrong pls help, it’s question number 5
Which is an irrational number?
9514 1404 393
Answer:
A √2 is an irrational number
Step-by-step explanation:
A: √2 ≈ 1.4142135623730950488... an infinite non-repeating decimal (irrational)
B: √4 = 2 (rational)
C: ∛8 = 2 (rational)
D: √16 = 4 (rational)
In ΔCDE, the measure of ∠E=90°, ED = 28, CE = 45, and DC = 53. What ratio represents the tangent of ∠C?
Step-by-step explanation:
tangent = opposite / hypothenus
tan C = ED / DC
tan C = 28 / 53
Answer:
I just go it wrong, it's 28/45
Step-by-step explanation:
A sheet of plastic has an area of 35 square cm. If the sheet is 5 cm thick, what is the volume?
Answer:
175 cm³
Step-by-step explanation:
Volume = área * thick
Volume = 35cm² * 5cn
Volume = 175 cm³
Answer:
7cm
Step-by-step explanation:
Area = 35cm²
Length= 5cm
Width=?
A=L×B
B=A/L
B=35/5
B=7cm
You want to change your cell phone service. The new company charges $40 per
month for cell phone use. There is a one-time start-up fee of $25. Which equation
shows the total cost of your cell phone service over time?
Answer:
y=40x+25
plz mark brainliest
Which graph shows the solution to the system of linear inequalities?
y>2/3x+3
y-<-1/3x+2
Given:
The inequalities are:
[tex]y>\dfrac{2}{3}x+3[/tex]
[tex]y\leq -\dfrac{1}{3}x+2[/tex]
To find:
The graph for the given system of inequities.
Solution:
We have,
[tex]y>\dfrac{2}{3}x+3[/tex]
[tex]y\leq -\dfrac{1}{3}x+2[/tex]
The related equations are:
[tex]y=\dfrac{2}{3}x+3[/tex]
[tex]y=-\dfrac{1}{3}x+2[/tex]
Table of values
x [tex]y=\dfrac{2}{3}x+3[/tex] [tex]y=-\dfrac{1}{3}x+2[/tex]
0 3 2
3 5 1
Plot the points (0,3) and (3,5) and connect them by a straight line to get the boundary line [tex]y=\dfrac{2}{3}x+3[/tex].
Plot the points (0,2) and (3,1) and connect them by a straight line to get the boundary line [tex]y=-\dfrac{1}{3}x+2[/tex].
In [tex]y>\dfrac{2}{3}x+3[/tex], the sign of inequality is ">" it means the boundary line is a dashed line and shaded area lies above the boundary line.
[tex]y\leq -\dfrac{1}{3}x+2[/tex], the sign of inequality is "[tex]\leq [/tex]" it means the boundary line is a solid line and shaded area lies below the boundary line.
Therefore, the required graph is shown below.
Help please????????
Answer:
C
Step-by-step explanation:
First isolate x So the equation would look like
x^2=y+11
then square root the whole thing to get
x= plus or minus the square root of y-11
2 1/4 x 3 1/5 brainliest
Answer:
36/5
Step-by-step explanation:
9/4×16/5
144/20
36/5
hope this is helpful
Answer:
[tex]7\frac{1}{5}[/tex]
Step-by-step explanation:
1. start by turning the fractions improper fractions:
[tex]2\frac{1}{4} =\frac{9}{4}[/tex]
[tex]3\frac{1}{5} =\frac{16}{5}[/tex]
2. then multiply them together:
[tex]\frac{9}{4}[/tex] x [tex]\frac{16}{5}[/tex] = [tex]\frac{144}{20}[/tex]
3. then simplify the fraction:
[tex]\frac{144}{20}[/tex][tex]=\frac{36}{5}[/tex]
4. turn it into a proper fraction:
[tex]\frac{36}{5} =7\frac{1}{5}[/tex]
does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?
Given equation of the Circle is ,
[tex]\sf\implies x^2 + y^2 = 25 [/tex]
And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,
[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]
Here we can say that ,
• Radius = 5 units
• Centre = (0,0)
Finding distance between the two points :-
[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]
Here we can see that the distance of point from centre is less than the radius.
Hence the point lies within the circle.
Answer:
Inside
Step-by-step explanation:
Check the picture below
Please answer this, I need help fast
B
Step-by-step explanation:
If you're using a Casio calculator you can just change the mode to table mode. Put the equations as they are,decide the value of the X axis you want to start at and where you want to end. The step you can use 1 if you want. Press = button. You'll have the co-ordinates. Plot the co-ordinates of each equation and see which one gives a straight line graph. I started at -4 and ended at 5 and I used step 1
−5y+3x=3
−8y+9x=−12
What is X and Y please.
Answer:
( -4, -3 )
Step-by-step explanation:
Let's solve by elimination. Reason being there are no variables without coefficients.
−5y+3x=3 Multiply equation by 3. Each term.
−8y+9x=−12
-15y + 9x = 9 Subtract the to equations
-8y + 9x = -12
___________
-7y = 21
y = -3
Substitute y into original equation
-5(-3) + 3x = 3
15 + 3x = 3 Subtract 15 both sides
3x = -12 Divide by 3, both sides
x = -4
Answer:
y=-3
x=-4
Check:
-5(-3)+3(-4) =3
15-12=3
3=3 ✅
-8(-3)+9(-4)=-12
24-36=-12
-12=-12✅
Can someone please help me with this?
Answer:
A - True
B - False
C - True
D - False
E - True
Step-by-step explanation: