Answer:
7
Step-by-step explanation:
you just divide 8/56= 7
-----------------------------------------------------------------------------
Step 1:
Start by setting it up with the divisor 56 on the left side and the dividend 8 on the right side like this:
56⟌8
Step 2:
The divisor (56) goes into the first digit of the dividend (8), 0 time(s). Therefore, put 0 on top:
0
56⟌8
Step 3:
Multiply the divisor by the result in the previous step (56 x 0 = 0) and write that answer below the dividend.
0
56⟌8
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (8 - 0 = 8) and write the answer below.
0
56⟌8
-0
8
the answer to 8 divided by 56 calculated using Long Division is: 7
Find the surface area. 10 ft 3 ft 5ft
Answer:
5.7 feet i think
Step-by-step explanation:
Pleas help!
WILL THANKS YOUR ACCONT and MARK BRAINLIEST
PLEASE I NEEED HELP!!! YOU DONT HAVE TO AWNSER NUMBER 6
Answer:
6942-8.7 or 26/3-3.5 or -7/2Add at least 2 ways people in this job use arts and music ( that job is a dancer btw)
Answer:
arts: movement and flexibility Music: communication and rhythm
6. Find the sum of the geometric series.
a1=-9 a5=-729 r=-3
Answer:
Sn = -9(1-(-3)^n)/4
Step-by-step explanation:
Since r < 1, the sum of nth term of a geometric sequence is expressed as;
Sn = a(1-r^n)/1-r
a is the first term
n is the number f terms
r is the common ratio
An = -9(1-(-3)^n)/1-(-3)
Sn = -9(1-(-3)^n)/4
Hence the sum of the nth term of the series is Sn = -9(1-(-3)^n)/4
sorry to be annoying again I just really suck at math and I haven't slept yet
Answer:
50.33 mi.
Step-by-step explanation:
GIVEN :-
Coordinates of :-
Home = (0 , 0)School = (4 , 3)Pizza place = (-8 , 2)Movie Theater = (-4 , -6)Park = (7 , -5)TO FIND :-
Total distance travelled on Friday & Saturday.GENERAL FORMULAE TO BE USED IN THIS QUESTION :-
Lets say there are two points A & B on a cartesian plane whose coordinates are (x₁ , y₁) & (x₂ , y₂).
Distance between A & B = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
SOLUTION :-
According to question ,
On Friday , you -
leave school and go to pizza palace. Distance travelled from school to pizza palace = [tex]\sqrt{(4 -(-8) )^2 + (3 - 2)^2} = \sqrt{(12)^2 + (1)^2} = \sqrt{145}[/tex] ≈ 12.04 mi.go to movie theater after pizza palace. Distance travelled from pizza palace to movie theater = [tex]\sqrt{[(-4) -(-8)]^2 + (-6 - 2)^2} = \sqrt{(4)^2 + (-8)^2} = \sqrt{80}= 4\sqrt{5}[/tex] ≈ 8.94 mi.come back to your home after the movies. Distance travelled from theater to home = [tex]\sqrt{[0-(-4)]^2 + (0 - 6)^2} = \sqrt{(4)^2 + (-6)^2} = \sqrt{52} = 2\sqrt{13}[/tex] ≈ 7.21 mi.⇒ On Friday , total distance travelled = 12.04 + 8.94 + 7.21 = 28.19 mi.
On Saturday , you -
go to park from your home. Distance travelled from home to park = [tex]\sqrt{(7 -0 )^2 + (-5 - 0)^2} = \sqrt{(7)^2 + (-5)^2} = \sqrt{74}[/tex] ≈ 8.6 mi.go to school after going to park. Distance travelled from park to school = [tex]\sqrt{(4 -7 )^2 + [3 - (-5)]^2} = \sqrt{(-3)^2 + (8)^2} = \sqrt{73}[/tex] ≈ 8.54 mi.go to home after playing basketball in school. Distance travelled from school to home = [tex]\sqrt{(0 -4 )^2 + (0 - 3)^2} = \sqrt{(-4)^2 + (-3)^2} = \sqrt{25}[/tex] = 5 mi.⇒ On Saturday , total distance travelled = 8.6 + 8.54 + 5 = 22.14 mi.
∴ Total distance travelled on Friday & Saturday = 28.19 + 22.14 = 50.33 mi.
zuma took a loan of 630 000 from the bank. he will repay the loan over 48 months at 9.5% per annum simple interest. how much interest will zuma pay on the loan
Answer:
Interest amount = 239400
Step-by-step explanation:
Below is the calculation of interest amount:
Given the loan amount or present value = 630000
Time period = 48 months or 4 years
Interest rate give = 9.5%
Total amount = P ( 1 + rt)
P = 630000
r = 9.5%
t = 4 years
Total amount = 630000 ( 1 + 9.5% x 4)
Total amount = 869,400
Interest amount = 869400 - 630000
Interest amount = 239400
Simplify the following expression completely.
{x^2+11x+28}
{x^2+x-12}
wrote like division
Answer:
[tex] \frac{x + 7 }{x - 3} [/tex]
Step-by-step explanation:
First factorize both expressions
[tex] \frac{ {x }^{2} + 11x + 28 }{x { }^{2} + x - 12} \\ \frac{x {}^{2 } + 7x + 4x + 28 }{x { }^{2} + 4x - 3x - 12 } \\ \frac{x(x + 7) + 4(x + 7)}{x(x + 4) - 3(x + 4) } \\ \frac{(x + 7)(x + 4)}{(x + 4)(x - 3)} [/tex]
Now you can cross out x+4
and you'll be left with
[tex] \frac{x + 7}{x - 3} [/tex]
Help out on the bottom part
Answer:
x+2y=-3
x+2(-1)=-3
x-2=-3
x=-3+2
x=-1
???????????????????????????????????????????
Answer:
C
Step-by-step explanation:
please help! 20 points. if you guess or just comment to take my points i will make sure ur account gets banned. thanks! i want a simple explanation
Answer:
x = 9
Step-by-step explanation:
Of course I'll do very simple explanation!
every time you see a straight line (nondiagonal) it measures 180°.
so if we're trying to solve for x in this case, we'll subtract 180° - 40° = 140°.
Then use the statement to solve for x
[tex]10x+50=140[/tex]
[tex]10x-50[/tex] = - 50 Subtract 50 from both sides
[tex]10x[/tex] [tex]=[/tex] 90 Divide 10 from both sides
x = 9
A field in the shape of a quadrilateral has a perimeter of 166 m. A fence is being built along the field's perimeter. Determine the length of fencing needed for each side of the field.
Answer:
3x - 4 = 32
2x = 24
5x + 10 = 70
4x - 8 = 40
Step-by-step explanation:
Please find the complete question in the attached image
Perimeter = sum of sides of the quadrilateral
166 = 4x - 8 + 5x + 10 + 2x + 3x - 4
166 = 14x - 2
combine like terms
166 + 2 = 14x
168 = 14x
x = 12
substitute for x in each of the sides
3x - 4 = 3(12) - 4 = 32
2x = 2 x 12 = 24
5x + 10 = 5(12) + 10 = 70
4x - 8 = 4(12) - 8 = 40
what is the shape called??
Answer:
This is called a Trapezoidal prism
Number of faces: 5
Number of edges: 9
Number of vertices: 6
Hope this helps!!
Kendall found that the solutions to a quadratic equation were -2 and 3. Which of the following descriptions of the quadratic equation are true? Select all that apply
А The x-intercepts of the graph are also - 2 and 3
B
The x-intercepts of the graph are 2 and 3)
C
The factors are (x - 2) and (x + 3).
D
The factors are (x + 2) and (x-3).
The equation is y six + 2)(x - 3),
The equation is y(x-2)(x + 3).
If the solutions to a quadratic equation were -2 and 3 then,
А. The x-intercepts of the graph are also - 2 and 3.
C. The factors are (x - 2) and (x + 3).
The equation is ax² + bx + c = 0 is x² = x - 6 = 0.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
Given, The solutions to a quadratic equation were -2 and 3.
∴ The quadratic equation ax² + bx + c = (x + 2)(x - 3).
So, The x-intercepts of the graph are also - 2 and 3.
The factors are (x - 2) and (x + 3).
The equation is ax² + bx + c = 0
= (x + 2)(x - 3) = 0
= x² - 3x + 2x - 6 = 0
= x² = x - 6 = 0.
learn more about quadratic equations here :
https://brainly.com/question/17177510
#SPJ2
I keep getting the wrong answers someone help please.
Answer:
1. 8.9
2. 14.5
3. 10.3
4. 18.8
5. 8.0
6. 15.0
(All to the nearest tenth)
The code is the sum of all missing sides
So adding all
=75.5
What's the volume to this prism?
Answer:
36 cubic inch
Step-by-step explanation:
The formula for the volume of a rectangular prism is:
[tex]V=whl[/tex]
----------------------------------------------------------------------------------------------------------------
So:
6 × 3 × 2 = 36
----------------------------------------------------------------------------------------------------------------
Have a good day :)
Taylor invested $2500 in an account that pays 3.7% interest compounded monthly. If Taylor does not touch the money, what will the balance of the account be after 7 years?
Answer:
hehe
Step-by-step explanation:
If you help me I give you brainlist
Step-by-step explanation:
I used Pythagoras Theorem to find the diagonal distance as placement of objects is right angles triangle.
[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]
a : Elm street
b : Birch street
c : Diagonal distance
c^2 = a^2 + b^2
c^2 = 15^2 + 8^2
c^2 = 225 + 64
c = √289
c = 17 blocks
I added the total distance of the original route Joline took
= 15 blocks + 8 blocks
= 23 blocks
How much less distance does she have to walk if she took the diagonal route
= Total distance of original route - distance of diagonal route
= 23 - 17
= 6 blocks
Joline have to walk less 6 blocks if she took the diagonal route compared to her original route
What is an equation of the line that passes through the point (-6,-8) and is parallel to the line x-2y=6?
Answer:
[tex]y=\frac{1}{2}x-5[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines always have the same slope and different y-intercepts1) Determine the slope (m)
[tex]x-2y=6[/tex]
Rearrange this equation into slope-intercept form (this will help us find the slope)
Subtract x from both sides
[tex]x-2y-x=6-x\\-2y=-x+6[/tex]
Divide both sides by -2
[tex]y=\frac{1}{2} x-3[/tex]
Now, we can identify clearly that the slope of the given line is [tex]\frac{1}{2}[/tex] since it's in the place of m. Because parallel lines always have the same slopes, the line we're currently solving for would therefore have a slope of [tex]\frac{1}{2}[/tex] as well. Plug this into [tex]y=mx+b[/tex]:
[tex]y=\frac{1}{2}x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=\frac{1}{2}x+b[/tex]
Plug in the given point (-6,-8)
[tex]-8=\frac{1}{2}(-6)+b\\-8=-3+b[/tex]
Add 3 to both sides to isolate b
[tex]-8+3=-3+b+3\\-5=b[/tex]
Therefore, the y-intercept is -5. Plug this back into [tex]y=\frac{1}{2}x+b[/tex]:
[tex]y=\frac{1}{2}x-5[/tex]
I hope this helps!
P L E A S E A N S W E R A S A P
P L E A S E E E E E E
Answer:
d
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
like the guy above me said
Solve the trigonometric equation over the interval [0, 2π)
[tex] \large{ {cos}^{2} \theta + \sqrt{3} sin \theta cos \theta = 1}[/tex]
Show your work, thanks!
Answer:
θ = 0° , 60°
Step-by-step explanation:
[tex]\cos^2\theta + \sqrt{3}\sin \theta \cos \theta = 1[/tex]
Substract both the sides from 1.[tex]=> \cos^2\theta + \sqrt{3}\sin \theta \cos \theta - 1 = 1 - 1[/tex]
[tex]=> \cos^2\theta + \sqrt{3}\sin \theta \cos \theta - 1 = 0[/tex]
Rearrange the terms in L.H.S.[tex]=> (\cos^2 \theta - 1 )+ \sqrt{3} \sin \theta \cos \theta = 0[/tex]
Replace the terms in brackets with '-sin²θ' by using the identity (sin²θ + cos²θ = 1).[tex]=> -\sin^2 \theta + \sqrt{3} \sin \theta \cos \theta = 0[/tex]
Take 'sinθ' common from the whole expression in L.H.S.[tex]=> \sin \theta(- \sin \theta + \sqrt{3}\cos \theta) = 0[/tex]
Now solve each part separately :-
1) [tex]\sin \theta = 0[/tex]
[tex]=> \theta = \sin^{-1}0 = 0[/tex]
2) [tex]-\sin \theta + \sqrt{3} \cos \theta = 0[/tex]
Divide both the sides by 'cosθ'.[tex]=> \frac{-\sin \theta + \sqrt{3}\cos \theta }{\cos \theta} = \frac{0}{\cos \theta}[/tex]
[tex]=> \frac{-sin \theta}{\cos \theta} + \frac{\sqrt{3} \cos \theta}{\cos \theta} = 0[/tex]
[tex]=> -\tan \theta + \sqrt{3} = 0[/tex]
Add both the sides with 'tanθ'.[tex]=> -\tan \theta + \sqrt{3} + \tan \theta = 0 + \tan \theta[/tex]
[tex]=> \tan \theta = \sqrt{3}[/tex]
[tex]=> \theta = \tan^{-1}\sqrt{3} = 60[/tex]
∴ θ = 0° , 60°
Answer:
Solution given:
[tex] \large{ {cos}^{2} \theta + \sqrt{3} sin \theta cos \theta = 1}[/tex]
[tex] 1-sin^{2} \theta+\sqrt{3} sin \theta cos \theta = 1[/tex]
[tex] 1-1 +sin^{2}\theta=\sqrt{3} sin \theta cos \theta = 1[/tex]
[tex] Sin\theta(sin\theta -\sqrt{3}cos\theta)[/tex]
Either
[tex] sin\theta=\sqrt{3} cos \theta [/tex]
[tex] \sqrt{sin\theta}{cos \theta}=\sqrt{3} [/tex]
[tex] Tan \theta =\sqrt{3}[/tex]
[tex] Tan \theta =Tan 60,Tan(180+60),Tan (360+60)[/tex]
[tex] \theta =60°,240°,420°[/tex]
in terms of π is
[tex] \theta =⅓π,\frac{4}{3}π,[/tex]
Or
[tex] Sin\theta=1[/tex]
[tex]Sin\theta=Sin0° ,Sin180°[/tex]
In terms of π is
[tex]\theta=0π,π[/tex]
so
[tex]\theta=0π,⅓π,π,\frac{4}{3}π,[/tex]
Multiply 4(x+6)/(x−2)⋅(x+10)/24(x+6)
Answer
x+10/6(x-2)
Step-by-step explanation:
I took the quiz
Can someone help me with this ?
1 2/3 -2/9st step by step
Answer:
stay safe healthy and happy...What are the coordinates of the point that is 1/5 of the way from A(-7,-4) to
B(3, 6)?
A. (-5,0)
B. (0,3)
C. (-5,-2)
D. (1,4)
Answer:
C. (-5, -2)
Step-by-step explanation:
I used
x1 + / (x2 - x1), y1 + / (y2 - y1)
so
-7 + 1/5(3 - (-7)
-7 + 1/5 (10)
-7 + 10/5
-7 + 2 = -5 (X)
then
-4 + 1/5(6 - (-4)
-4 + 1/5(10)
-4 + 10/5
-4 + 2 = -2 (Y)
(-5, -2)
what is the difference between 1089 and 4445
Answer:
If it is:
1,089-4,445= -3,356
but if it is the other way:
4,445-1,089= 3,356
Hope it helped!
Answer:
Its a Subtraction problem
4445-1089
=3356
Helpppppp pleaseeeer
Answer:
D is the answer
Step-by-step explanation:
I need the answer nowwwwww right nowwwwww
Answer:
160 cm i think
Step-by-step explanation:
what is the result?? Show explanation.
A. 4⁵
B. 4¹
C. 4-¹
D. 4-⁵
Answer:
4^-5
Step-by-step explanation:
4^-3 = 1/4^3
1/4^3 · 1/^2 = 1/4^5 which is the same as 4^-5
atus
view
The Pythagorean Identity states that:
(sin x)2 + (cos x)2 = 1
Given cos 0 = Ź, find sin 0.
sin 0 =
V 역
Simplify the fraction.
Enter
Answer:
√7 / 4
Step-by-step explanation:
Trigonometrical identity are used to show the relationship between the sides and angles of a right angled triangle. Some trigonometric identities are:
sinΘ = opposite / hypotenuse, cosΘ = adjacent / hypotenuse, tanΘ = opposite / adjacent.
Given that cosΘ = 3 / 4
Therefore, cosΘ = adjacent / hypotenuse = 3 / 4
adjacent = 3, hypotenuse = 4. Let x be the opposite side, to get the opposite side, we use Pythagoras theorem:
opposite² + adjacent² = hypotenuse²
x² + 3² = 4²
x² + 9 = 16
x² = 7
x = √7
sinΘ = opposite/hypotenuse = √7 / 4