Answer:
195, 295, 395, 495?
Step-by-step explanation:
Which value is a solution of the inequality x∕5 + 2 ≤ 6?
[tex] \rm \frac{x}{5} + 2 \leqslant 6[/tex]
[tex] \rm x + 2 \leqslant 6 \times 5[/tex]
[tex] \rm x + 2 \leqslant 30[/tex]
[tex] \rm x \leqslant 30 - 2[/tex]
[tex] \rm x \leqslant 28[/tex]
[tex]\dfrac x5 +2 \leq 6 \\\\\\\implies \dfrac x5 \leq 4 \\\\\\\implies x \leq 20 \\\\\text{Interval,} ~ (-\infty, 20][/tex]
Suppose that u⃗ =⟨8,−2⟩ and v⃗ =⟨5,−5⟩. What is the angle between u⃗ and v⃗ , rounded to the nearest degree?
9514 1404 393
Answer:
31°
Step-by-step explanation:
One way to find the difference angle is to look at the angle of the quotient. We can use complex numbers to represent the vectors for the purpose of that math. The magnitude is not important in this problem, so we do not have to finish the division.
(8 -2i)/(5 -5i) = (8 -2i)(5 +5i)/((5 -5i)(5 +5i)) = (40 -10i +40i +10)/( )
The numerator is 50 +30i, which has an angle of ...
arctan(30/50) ≈ 30.96° ≈ 31°
_____
Additional comment
Effectively, we have found the angle as the angle of the product of one vector with the conjugate of the other, when written as complex numbers. In vector terms, you might use the definition of the dot product. That seems to take a lot more math.
u·v = |u|×|v|×cos(θ)
θ = arccos(u·v/(|u|×|v|))
θ = arccos((8·5 +(-2)(-5))/√((8² +(-2)²)(5² +(-5)²))) = arccos(50/√3400)
Please help Fraction yes or no
Answer:
Hmm I would say maybe yes
Step-by-step explanation:
Find the equation of the line through (−8,1) which is perpendicular to the line y=−x/2−6.
Give your answer in the form y=mx+b.
Linear equations can represent parallel lines, perpendicular lines and lines with no relationship at all.
The equation of the line in form of y =mx + b is [tex]\mathbf{y = 2x + 17}[/tex]
The equation is given as:
[tex]\mathbf{y =-\frac x2 - 6}[/tex]
For a linear equation y = mx + b, the slope of the equation is m
So, by comparison:
[tex]\mathbf{m =-\frac 12}[/tex]
The relationship between the slopes of perpendicular lines is:
[tex]\mathbf{m_2 =-\frac 1{m_1}}[/tex]
So, we have:
[tex]\mathbf{m_2 =-\frac 1{-1/2}}[/tex]
[tex]\mathbf{m_2 =2 }[/tex]
This means that, the slope of the line that passes through point (-8,1) is 2
The line equation is then calculated as:
[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]
This gives
[tex]\mathbf{y = 2(x + 8) + 1}[/tex]
Open brackets
[tex]\mathbf{y = 2x + 16 + 1}[/tex]
Simplify
[tex]\mathbf{y = 2x + 17}[/tex]
Hence, the equation of the line in form of y =mx + b is [tex]\mathbf{y = 2x + 17}[/tex]
Read more about linear equations at:
https://brainly.com/question/11897796
Which statement best describes what the volume of an object represents? Volume is the length of an object. Volume is the amount of matter in an object. Volume is the amount of space taken up by an object. Volume is the ability of an object to floa
Answer:
Volume is the amount of space taken up by an object
also need help with this one
Answer:
x=8°
Step-by-step explanation:
Let's make an equation with this problem, since all side have to add up to 180 degrees we can solve it
(5x-2)+(9x+3)+(11x-21)=180°
lets add up light terms
25x-20=180°
add both sides by 20 and we get 25x=200°
divide both sides by 25 and we get x=8°
Please help! How to do this? Ill give brainly
Answer:
c=60
d=45
Step-by-step explanation:
3c=180
c=60
4d=180
d=45
Question 2 of 33
Which of the following is equivalent to the expression below when x20?
VP+ √25x² – 5xfx
O A. 11x/
В. xx
C. 1268- 5x
D. 67-5xxx
SUBMIT
Find an equation of the line drawn below.
Answer:
y = -2x +4
Step by step explanation:
y = -2x +4
Hello, hope you are having a splendid day.
First, we should calculate the slope of the line (Rise/Run)
The rise is how many units we move up or down; the run is how many units we move left or right.
Here, we move down 2 and over 1, so the slope is -2
Now, the y-intercept is where the graph touches the y-axis.
Here, the y-intercept is 4.
Our equation looks lke so:
y=-2x+4
Hope it helps. Ask me if you have any queries.
~An emotional teen who helps others on Brainly :)
[tex]MagicalNature[/tex]
Good luck.
NEED HELP ASAP (ILL GIVE BRAINLIST)
Answer:
the answer is 33 9/11
Step-by-step explanation:
multiply the fractions
.
.
Answer:
33 9/11
Step-by-step explanation:
22 6/11 x 1 1/2
Convert into improper fractions.
248/11 x 3/2
Reduce the numbers with the greatest common factor 2.
124/11 x 3
Calculate
372/11
=33 9/11
Hope this helps :)
Solve this system of linear equations. Separate
the x- and y-values with a comma.
-20x = -16 - 9y
- 14x = -22 - 9y
Answer:
(x, y)
(-1, -4)
Step-by-step explanation:
[tex]-20x=-16-9y\\-14x=-22-9y[/tex]
Solve by elimination, subtract the 2nd row from the 1st row:
[tex](-20x-(-14x))=(-16-(-22))+(-9y-(-9y))\\(-20x+14x)=(-16+22)+(-9y+9y)\\-6x=6[/tex]
Solve for x in the equation above
[tex]-6x=6\\x=-1[/tex]
Now we have the value of X, substitute it into any of the 2 original equations:
[tex]-20x=-16-9y\\-20(-1)=-16-9y[/tex]
Solve for y:
[tex]-20(-1)=-16-9y\\20=-16-9y\\36=-9y\\-4=y\\y=-4[/tex]
Please mark brainliest if this answer helps you. I can provide more information if needed.
What is 50% of 35 like simplified
Answer:
It can't get more simple than that (*nose growing*)
Step-by-step explanation:
50% of 35 means 35 is 100% right? 50 is half of 100. So 50% of 35 will be half of 35, agree? So you multiply by crossing
35 = 100%
x = 50%
100 * x = 35 * 50 (do this math, you can multiply 35 by 5 then add 0)
100x = 1750
x = 1750 / 100
x = 17,5
Is 17,5 half of 35? You could have also done 35 / 2. It would be the same result because 50% is an easy percentage to work with.
Hello everybody! Can anybody help me out with this fairly simple multiple choice algebra problem? Thanks!
Answer:
l = P -2w
________ D is the correct choice
2
need some help with these!!
Answer:
RS = XY
Step-by-step explanation:
Corresponding sides will be equal. So
RS = XY
whats 1/2 + 8/11 please explain by step by step
REFER THE PICTURE FOR YOUR ANSWER !!
Whats 1/2 + 8/11
___________________
= 1/2 + 8/11
= (1 × 11)/(2 × 11) + (8 × 2)/(11 × 2)
= 11/22 + (8 × 2)/(11 × 2)
= 11/22 + 16/22
= (11 + 16)/22
= 27/22
= 1 5/22 ☑️
Find the value of X in each case
x = 49° [ Alternate angles are equal]
4x = 4 × 49 = 196°
- BRAINLIEST answerer
Cuantos triángulos se pueden construir con un número entero de palillos
Answer:
Step-by-step explanation:
After creating an equilateral triangle using 3 toothpicks, I require 3 more toothpicks to create more 3 equilateral triangles ie.4 triangles it toto.
First place 3 toothpicks end to end on a Horizontal plane to create an equilateral triangle.
THEN erect 3 toothpicks on each corner of the triangles making other ends joined up together in space above the Horizontal plane so as to create another same THREE equilateral triangles. (I am unable to provide a pictorial presentation due to inadequacy of signs & symbols on the keyboard. )
I suppose, you must have visualised the superstructure.
Thanks.
The angle of elevation of the top of a cliff from the point Q on the ground is 30°. On moving a distance of 20
m towards the foot of the cliff the angle of elevation increases to xº. If the height of the cliff is 17.3 m, then
find xo
On moving a distance of 20m towards the foot of the cliff the angle of
elevation increases to 60° .
The situation forms 2 right angle triangle.
The height of the cliff is the opposite side of the 2 triangles formed.
Using trigonometric ratio, the bigger triangle can be represented as
follows:
tan 30 = opposite / adjacent
Let the distance from point Q to the foot of the cliff be d.
Therefore,
tan 30° = 17.3 / d
d = 17.3 / tan 30
d = 17.3 / 0.57735026919
d = 29.9644789709
d ≈ 30 m
Let's find the new angle when he moves 20 m towards the foot of the cliff.
The smaller triangle formed is used to find the new angle.
Therefore,
The new distance from the foot of the cliff (adjacent side) = 30 - 20 = 10 m
tan x° = 17.3 / 10
tan x° = 1.73
x = tan ⁻¹ 1.73
x = 59.9705982385
x ≈ 60°
learn more: https://brainly.com/question/23910946?referrer=searchResults
Alice uses a table to record the number of black cars, b, that passed by her house in h hours.
b is directly proportional to h.
Answer:
1/2
Step-by-step explanation:
b is directly proportional to h.
b = kh
take any (h, b) point
using (28, 14)
14 = k(28)
Divide both sides by 28
1/2 = k
1/2
Which of the expressions are equivalent to the one below? Check all that apply. (8 + 3) + 4 O = A. (8 + 4) = 3 B. 8. (3 + 4) OC. (3 + 8) = 4 O 8) D. (3 + 4) : (8 + 4) SUBMIT
Answer:
C
Step-by-step explanation:
known by checking all the answers for chooses
Graph one function of y=1/3tan(x-π)
Answer:
ayúdame a encontrarla soy de Perú por favor ayuda
Given the perimeter find the unknown side length. P= 1,000 x =?
Answer:250
Step-by-step explanation:
a square had 4 sides, the perimeter is 1,000. 1,000/4+250 :)
determine if you can use the hypotenuse-leg congruency property to prove the triangles are congruent
Answer:
4. We don't know if they're right triangles
Step-by-step explanation:
If you could assume that the triangles are right triangles, then you would be able to prove congruency with HL. In this case however, the angles are not given so you can't assume anything.
What is the probability that you will be able to draw all of the cards in the deck without being forced to stop because you have $0 in your pocket?
Step-by-step explanation:
Probability will be 0 According to me!!
Mark me BRAINLIEST1. If (3,-5) is an ordered pair of the
function F(x), which of the following
must be an ordered pair of the
inverse of F(x)?
Answer Choices:
(3,-5)
(3,5)
(-5,3)
(5,-3)
Answer:
(-5,3)
Step-by-step explanation:
for a function, an x input produces a y output.
the inverse of that function would, when given the y value as an input, have the x value as the output. The x and y values change places.
If I have a triangle and one angle is 25 degrees and I have to find the exterior angles by doing (2X+3) and (3x-17)
Express 0.03 as a percentage of 1
Answer:
3%
Step-by-step explanation:
[tex] \frac{0.03}{1} \times 100[/tex]
0.03=3/100 So
[tex] \frac{3}{100} \div 1 \times 100[/tex]
=3%
(10 points!!!) AND I’LL MAKE YOU BRAINLEST
I ALREADY KNOW THE ANSWER I JUST WANT THE EXPLANATION!!
The answer is ( Jose, $901.31 more)
Janell deposits $2,000 and for 5 years leaves it in an account earning 3% annual interest, compounded quarterly. For 5 years, José saves and deposits $150 per quarter in an account earning 3% interest compounded quarterly. Who will have more money in the account after 5 years? How much more?
Use the table to answer:
i really need some help with these!
Amanda has $5200 in a savings account that earns 4% simple interest annually. What is the value of her account in 5 years?
Answer:
6,240
Step-by-step explanation:
You start off with 5200, if she earns 4% each year for the next 5 years, she would earn a total of 20% more than what she had now.
You would multiply 5,200 by 1.20 Which equals the answer (above)