Answer:
r > -69
Step-by-step explanation:
13 - r < 82
subtract 13 from both sides
13 - r - 13 < 82 - 13
- r < 69
to flip the inequality sign, multiply both side by -1 to make r positive:
- r (-1) < 69 (-1)
r > -69
[tex]\rule{50}{1}\large\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]
13-r<82
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]
First of all, we need to isolate r (get r by itself). What I Mean by that is
We need to get r by itself on one side of the inequality.
So it should look something like this:-
r<___
So r is all by itself.
How will we get r by itself? Well, First of all, we need to subtract 13 on both sides:-
[tex]\longmapsto\bf{-r < 82-13[/tex]
Simplifying,
[tex]\longmapsto\bf{-r < 69}[/tex]
Now, is r by itself? Nopes, There's also a minus sign next to it , which indicates that r is multiplied by -1.
So we do the opposite operation and divide both sides by -1:-
(watch what happens)
[tex]\longmapsto\bf{r > -69}[/tex]
The inequality sign changed from "less than" to "greater than".
This happened because we divided by a negative number on both sides.
Good luck with your studies. [tex]\ddot\smile[/tex]#TogetherWeGoFar
[tex]\rule{300}{1}[/tex]
Find the midpoint of (6, 4) and (0,2).
Answer: Hope this helps you.
1,3
Step-by-step explanation:
(6, 4) and (0,2)
4-2/6-0 =2,6 (1,3)
Step-by-step explanation:
please mark me as brainlest
PLEASE HELP!!!!!!!!!!!!
Answer:
see explanation
Step-by-step explanation:
PQRS is a cyclic quadrilateral.
the opposite angles in a cyclic quadrilateral sum to 180° then
∠ Q + ∠ S = 180 ( substitute values )
3x - 8 + 3x + 8 = 180
6x = 180 ( divide both sides by 6 )
x = 30
Then
∠ Q = 3x - 8 = 3(30) - 8 = 90 - 8 = 82°
∠ S = 3x + 8 = 3(30) + 8 = 90 + 8 = 98°
∠ P = x + 15 = 30 + 15 = 45°
∠ R = 180° - ∠ P = 180° - 45° = 135°
The compound interest formula can be rewritten as
P = A/(1 + r/n)nt.
Find the principal P that you need to invest on the day your child is born at 4.2% annual interest compounded quarterly to make your child a millionaire on his or her 21st birthday. (Round your answer to the nearest cent.)
Answer:
Compound interest, or 'interest on interest', is calculated using the compound interest formula.
The formula for compound interest is A = P(1 + r/n)^nt, where P is the principal balance, r is the interest rate, n is the number of times interest is compounded per time period and t is the number of time periods.
Step-by-step explanation:
3+x=7 what is x .........................
Answer:
4
Step-by-step explanation:
x = 7 - 3
x = 4
Answer:
x = 4
Step-by-step explanation:
3+x = 7
Subtract 3 from each side
3+x-3 = 7-3
x = 4
50 PTS! SUPER EASY 9TH GRADE GEO
- FIND THE AREA
half the diagonal is shown as 20cm.
The full diagonal would be 20 x 2 = 40 cm.
area of a square using the diagonal is 1/2 x diagonal^2
Area = 1/2 x 40^2 = 800 square cm
answer: 800 square cm.
Jordan ran 7/8 mile on Monday and 5/6 mile on Tuesday.
How much farther did Jordan run on Monday than on Tuesday?
Enter your answer as a fraction in simplest form
Answer:
[tex] \frac{1}{24} miles \\ [/tex]
Step-by-step explanation:
[tex] \frac{7}{8} - \frac{5}{6} = \frac{1}{24} [/tex]
PLS HELP!!! WILL GIVE A LOT OF POINTS!!!
dont forget the show your work pls
Answer: it might be 8
Step-by-step explanation: Write a distance formula: x^2 - x^1
substituted -3.8, 4.2 into x^2 - x^1 and u will get 4.2 + 3.8 and u will calculate and it gets 8
I hope its right
What is the distance around the perimeter of the garden? 60 ft 60 startroot 3 endroot ft 120 ft 120 startroot 3 endroot ft
The distance around the perimeter would be 120 ft.
What is perimeter?Perimeter is the distance around the edge of a shape.
The complete question is
A garden is designed in the shape of a rhombus formed from 4 identical 30°-60°-90° triangles. The shorter distance across the middle of the garden measures 30 feet.
A rhombus is shown. Lines are drawn from each point to the opposite point to form 4 right triangles. The other 2 angle measures are 30 and 60 degrees. The base length of each triangle is 15 feet.
What is the distance around the perimeter of the garden?
let AE is the half of the diagonal AC.
AC = 30 ft.
So, AE = ½ * 30
AE = 15 ft
Now, using trigonometry
sin 30 = 15/AD
0.5= 15/AD
AD= 30 ft
Hence, distance around the perimeter would be: AD+AD+AD+AD=
=30 ft + 30 ft + 30 ft + 30 ft
= 120 ft.
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Answer:A
Step-by-step explanation: just took it
No Solutions
2x+5+2x+3x=
One Solution
2x+5+2x+3x=
Infinitely Many Solutions
2x+5+2x+3x=
Answer:
For no solution,
2x + 9 + 3x + x = 6x
For one solution,
2x + 9 + 3x + x = 15
For infinitely many solutions,
2x + 9 + 3x + x = 6x + 9
Step-by-step explanation:
Step-by-step explanation:
1. 2x + 9 + 3x + x = 6x
6x + 9 = 6x
Subtract 6x from both sides,
9 = 0 which is absurd and hence the equation has no solution.
2. 2x + 9 + 3x + x = 15
6x + 9 = 15
Subtract 9 from both sides.
6x = 6
Divide both sides by 6.
x = 1 and this is the only solution.
3. 2x + 9 + 3x + x = 6x + 9
6x + 9 = 6x + 9
Subtract 6x from both sides,
9 = 9, both sides are balanced which means, the equation has infinitely many solutions.
First simplify
2x+5+2x+3x7x+5#No solution
7x+5=7x-3#One solution
7x+5=5x+2#Infinitely many solution
7x+5=7x+5HELPP PLEASE ILL MAKE YOU THE BRAINIEST Find the area of the rhombus
Answer:
D1×D2/2sq
445×5= 225
225/2
=112.5
Please help me answer this question (file attached) and share how you got the final answer.
Thank you! I appreciate your help!
When the height of the prism doubles, the percentage increase in the volume is 100%
How to determine the percentage increase?The volume of a prism is:
V₁ = BH
Where:
B represents the base area and H represents the height.
When the height doubles, the volume becomes
V₂ = 2BH
The percentage increase is then calculated using:
%Increase = (V₂ - V₁)/V₁
So, we have:
%Increase = (2BH - BH)/BH
Evaluate
%Increase = 1
Express as percentage
%Increase = 100%
Hence, the percentage increase is 100%
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What are the fourth roots of 2√3 −2i? Enter your answer by filling in the boxes. Enter the roots in order of increasing angle measure.
By using the De Moivre's formula, the quartic roots of the complex numbers (in polar form) are z₁ = (√2, π/6), z₂ = (√2, 2π/3), z₃ = (√2, 7π/6), z₄ = (√2, 5π/3).
How to find the roots of a complex number
Complex numbers are numbers of the form a + i b, where a and b are the real and imaginary component, respectively. In other words, complex numbers are an expansion from real numbers. The n-th root of a complex number is found by using the De Moivre's formula:
[tex]\sqrt[n]{z} = \sqrt[n]{r}\cdot \left[\cos \left(\frac{\theta + 2\pi\cdot k}{n} \right) + i\,\sin \left(\frac{\theta + 2\pi\cdot k}{n}\right)\right][/tex], for i = {0, 1, 2, ..., n - 1}.
Where:
r - Norm of the complex number.θ - Direction of the complex number, in radians.The norm of the complex number is found by Pythagorean theorem:
[tex]r = \sqrt{(2\sqrt{3})^{2}+(-2)^{2}}[/tex]
r = 4
And the direction is determined below:
[tex]\theta = \tan^{-1} \left(\frac{2\sqrt{3}}{-2} \right)[/tex]
θ = 2π/3 rad
Then, the quartic roots of the complex numbers (in polar form) are z₁ = (√2, π/6), z₂ = (√2, 2π/3), z₃ = (√2, 7π/6), z₄ = (√2, 5π/3).
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find m ab in the figure below a90 b108 c72 d162
help please!!!!!!!^3
Answer:
36
Step-by-step explanation:
[tex]-2[-6(-4+7)]\\\\=(-2)(-6)(3)\\\\=12(3)\\\\=36[/tex]
A cyclist set out from a town P on a bearing of to a town Q, 5 km away. He then moves on a bearing of to a town R, 6km from Q.
1. Represent the information on a diagram
Calculate, correct to two decimal places
2. the bearing of R from P
3. |PR|
The bearing of R from P is 019 and the distance |PR| is 8.75
The complete questionA cyclist set out from a town P on a bearing of 060 to a town Q, 5 km away. He then moves on a bearing of 345 to a town R, 6km from Q.
The diagram that represents the informationSee attachment
The bearing of R from PStart by calculating the distance PR using the following cosine ratio
PR² = PQ² + QR² - 2 * PQ * PR cos(Q)
Substitute known values
PR² = 5² + 6² - 2 * 5 * 6 cos(105)
Evaluate
PR² = 76.53
Take the square root of both sides
PR = 8.75
Next, calculate angle R using the following sine ratio
PQ/sin(R) = PR/sin(Q)
Substitute known values
5/sin(R) = 8.75/sin(105)
Evaluate the quotient
5/sin(R) = 9.06
Multiply both sides by sin(R)
9.06 * sin(R) = 5
Divide both sides by 9.06
sin(R) = 0.5519
Take the arc sin of both sides
R = sin⁻¹(0.5519)
Evaluate
R = 34
Calculate angle P using:
P = 180 - 34 - 105
P = 41
The bearing of R from P is then calculated as:
Bearing = 060 - 41
Evaluate
Bearing = 019
Hence, the bearing of R from P is 019
The distance |PR|In (b), we have:
PR = 8.75
Hence, the distance |PR| is 8.75
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Pls help!! I will give brainliest!! And no links pls!!!
Answer:
20 for $8
Step-by-step explanation:
can anyone please explain me why DB=DP instead of DB=AD?
I am finding it difficult to understand
Step-by-step explanation:
In given, it's said that D is a midpoint, which mean DP == AD, DP is the same as DP because isosceles triangle properties said that two-length are equal when their base angle are equal. In a right triangle, the midpoint D, draws a line to the "90 degree" angle is always a isosceles
Solve the system of equations using substitution.
Y= 2x - 10
Y= 4x - 8
Answer:
Step-by-step explanation:
4x - 8 = 2x - 10
2x - 8 = -10
2x = -2
x = -1
y = 4(-1) - 8 = -4 -8 = -12
(-1, -12)
What is the surface area of the cylinder? Please show work.
Answer:
Surface area is 288π cm² (exact solution), which is approximately 904.78 cm² (if you use pi on calculator) or 904.32 cm² (if you use 3.14 for pi).
Step-by-step explanation:
Surface area of cylinder
[tex]SA = 2 \times \text{area of base} + \text{lateral area}\\SA = 2 \pi r^2 + 2 \pi r h[/tex]
SA ... surface area
r ... radius
h ... height of cylinder
Given:
d = 12 cm
h = 18 cm
Since diameter d is 12 cm, that means that radius is half of that, so 6 cm.
r = 6 cm
Insert in formula:
[tex]SA = 2 \pi r^2 + 2 \pi r h\\SA = 2 \pi (6)^2 + 2 \pi (6)(18)\\SA = 72 \pi + 216 \pi\\SA = 288 \pi \text{ cm}^2 \approx 904.78 \text{ cm}^2[/tex]
math hw please answer quickly i dont understand
Answer:
See explanation
Step-by-step explanation:
Since she used only 1/2 of the recipe and the full recipe uses 1 cup, divide 1 by 2. The equation is 1/2=0.5.
For the lemon juice, the equation is 1/4 divided by 2. On the number line, make a dot at 1/4, and then travel backwards halfway. 1/4 divided by 2 is 1/8, or 0.125.
Hope this helps!
If y=3x+4 we’re changed to y=5x+4 how would the graph of the new function compare with the first one
Answer:
t would be steeper
Step-by-step explanation:
Please Help Me With This.
[tex]\rule{50}{1}\large\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]
[refer to attachment for question] ~
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]
✫ First of all, Slope-intercept form is written as follows:-
[tex]\longmapsto\Large\textbf{y=mx+b}[/tex]
Where:-
m = slope ;b = y-interceptTo find:-
The equation of the line
Solving,
Replace m with -1/5 And b with -3:-
[tex]\large\text{$y=-\displaystyle\frac{1}{5} x-3$}[/tex]
[tex]\Uparrow[/tex] [tex]\sf{the\:equation}[/tex]
Good luck with your studies. [tex]\ddot\smile[/tex]#TogetherWeGoFar
[tex]\rule{300}{1}[/tex]
STATISTICS!!!! PLEASE HELP ASAP
Answer: they can conclude the distributions are different at the 95% confidence interval. Compute the z test statistic to solve this.
Step-by-step explanation: to get the 95% confidence interval on the mean take the mean value (984) +/- (2*standard deviation divided by the square root of the number of samples) (I.e. 984 +/- (2*267/sqrt(501)))
Find the length of the third side. If necessary, write in simplest radical form.
A construction company needs to transport 500 bricks. The dimensions of each brick are 2 cm
by 4 cm by 8 cm. The density of each brick is 3 g/cm'. What is the mass of each brick?
If the volume of each brick will be 64 cubic centimeters. Then the mass of each brick will be 192 grams.
What is density?Density is defined as the mass per unit volume. It is an important parameter in order to understand the fluid and its properties. Its unit is kg/m³.
The mass and density relation is given as
mass = density × volume
A construction company needs to transport 500 bricks. The dimensions of each brick are 2 cm by 4 cm by 8 cm.
The density of each brick is 3 g/cm³.
Then the mass of each brick will be
The volume of each brick will be
V = 2 x 4 x 8
V = 64 cm³
Then the mass will be
m = 3 x 64
m = 192 gram
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How do you write 9.085 x 10-9 in standard form?
Answer: 0.000000009085
Step-by-step explanation: This expression is rewritten like this because it is multiplied by a negative power of ten. Therefore, applying this principle to scientific notation, the answer would have to be less than 0. That would be your answer. Hope this helps!
answer needed urgently
The force,
F
(Newtons), between two objects is inversely proportional to the square of the distance,
d
(metres), between them.
The force is 0.012 Newtons when the distance between the objects is 1.4 metres.
Work out
d
(rounded to 2 DP) when
F
=
0.035
Newtons.
Answer:
dont now the answer but air math app will help you just take photo of problems
Answer:
4.08
Step-by-step explanation:
when 0.012N = 1.4mthen, when F =0.035..the distance is:(1.4×0.035)÷0.012(6x −9)3−1=((6x−9)3)(0) Solve for X
Answer:
Step-by-step explanation:
Remark
Anything multiplied by 0 = 0. So the whole right side is 0.
(6x - 9)*3 - 1 = 0 Add 1 to both sides.
(6x - 9)*3 - 1 + 1 = 0 + 1 Combine
(6x - 9)*3 = 1 Divide both sides by 3
(6x - 9)*3/3 = 1/3 Simplify
(6x - 9) = 1/3 Remove brackets. Add 9 to both sides
6x - 9+9 = 9 1/3 Combine
6x = 9 1/3
6x = 28/3 Divide both sides by 6
6x / 6 = 28/3 // 6 Invert the 6 and multiply.
x = 28/3 * 1/6
x = 28/18
Answer
x = 14/9
Can someone simplfy to me why we use different formula in some equations for sin cos tan? Like in some instances we swap variables and in others we just divide and stuff and I don't understand why we do that
Geometry triangle question
Answer:
Step-by-step explanation:
Answer:
x = 44 1/3°4x = 177 1/3°2x = 88 2/3°Step-by-step explanation:
The angle sum theorem tells you the sum of angles of a triangle is 180°. Angles of a linear pair are supplementary, so total 180°. These facts can be used to write a relation that can be solved for x.
__
interior anglesThe interior angle at the right end of the line is the supplement of 4x:
180° -4x
The interior angle at the left end of the line is the supplement of 2x:
180° -2x
angle sum86° +(180° -4x) +(180° -2x) = 180°
Then the solution to the triangle is ...
266° = 6x . . . . . . . . . add 6x-180°
x = 266°/6 = 44 1/3° . . . . . divide by 6
exterior angle 4x = 177 1/3°exterior angle 2x = 88 2/3°interior left side angle 180° -88 2/3° = 91 1/3°interior right side angle: 180° -177 1/3° = 2 2/3°