find the angle between vectors a =(1,2) and b = (1,-1/2). Brainliest for correct answer. Look at photo.
Answers
Answer:
90°
Step-by-step explanation:
The angle between the vectors can be found any of several ways. Here, we observe that the segments from the origin to the two points are at right angles to each other. (Their slopes are opposite reciprocals.) Hence the angle between the vectors is 90°.
__
The slope to point 'a' is y/x = 2/1 = 2.
The slope to point 'b' is y/x = (-1/2)/1 = -1/2.
The product of these slopes is (2)(-1/2) = -1, indicating the vectors are perpendicular. The angle between them is 90°.
__
We can also use the trig formula for the tangent of the difference of angles.
tan(α-β) = (tan(α) -tan(β))/(1 +tan(α)tan(β))
The tangents are the slopes, calculated above, so we have ...
tan(α -β) = (2 -(-1/2))/(1 +(2)(-1/2)) = (5/2)/0 = undefined
The tangent is undefined for angles that are odd multiples of 90°. The angle between the vectors is 90°.
Related Questions
A cone has a radius of 7 cm and a height of 12 cm what is the volume in cubic meters of the cone
Answers
Answer: 615.44 m^3.
Step-by-step explanation: To find the volume of a cone, you need to multiply the radius, pi, and height. The equation is given below:
π x r^2 x h = V, where π is pi, r is the radius squared, h is the height, and V is the volume.
Now, we need to substitute the values with the information that is given. π ≈ 3.14:
3.14 x 7^2 x 12 ≈ 1846.32.
We are not finished yet! A cone's volume is a third of a cylinder's, so you need to split 1846.32 in 1/3:
1/3 x 1846.32 ≈ 615.44 m^3.
Hope this helps! :)
700 mL of Tata cooking oil costs $189. Xtra cooking oil sells for $300 per litre. Which is the better buy?
Answers
Answer:
Tata oil
Step-by-step explanation:
0.7 L of Tata cooking oil = $1891 L of Xtra cooking oil = $300Per 0.1 L
Tata oil = 189/7 = $27Xtra oil = 300/10 = $30Tata oil is the better buy
Look at the equation below. Identify which equation has no solution
Answers
Answer:
C
Step-by-step explanation:
[tex]24a-22 = -4(1-6a)\\\\\implies 24a-22 = -4+24a\\\\\implies -22 = -4\\\\\text{Which is not true, so no solutions exist.}[/tex]
Find the Area in yards.
12 mi
6.9 mi
Answers
Answer:
82.8
Step-by-step explanation:
multiply the 2
1 2
6.9
9×2=18
9×1=9
10.8
72.0
____
82.8
a dentist's office and parking lot are on a rectangular piece of land. The area (in square meters) of the land is represented by x^2 + x = 30
a. write a binomial that represents the width of the land
b. find the area of the land when the length of the dentists' office is 20 meters
Answers
Solve the following equation for x.
12x^2-36x=0
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve for x ~
[tex]\qquad \sf \dashrightarrow \:12 {x}^{2} - 36x = 0[/tex]
[tex]\qquad \sf \dashrightarrow \:12 x({x}^{} - 3) = 0[/tex]
[tex]\qquad \sf \dashrightarrow \:12x = 0 \: \: or \: \: x - 3 = 0[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 0 \: \: or \: \: x = 3[/tex]
Therefore, the possible values of x are 0 and 3
TRUE or FALSE? The only difference between involuntary manslaughter and voluntary manslaughter is reckless conduct
Answers
Answer:
Yeah?
Step-by-step explanation:
dunno if this is and actual school related question but to me, yeah thats the only difference cuz the meaning of involuntary manslaughter is death thru recklessness/something close to that
Kaseem had 1/4 box of candy. He ate 1/2 of the candy. What fraction of the box did Kaseem eat? Show all work.
Answers
Answer:
1/8
Step-by-step explanation:
So he had 1/4 of a candy box and he ate 1/2 of it. 1/2 of 1/4 is 1/8 because 1/4 × 1/2 =1/8
Solve for the b 4 ( b + 5 )- 2b = 100
Answers
4 ( b + 5 )- 2b = 100
____________________
B = 40
Answer:
[tex]\tt b=40[/tex]
Step-by-step explanation:
[tex]\tt 4 ( b + 5 )- 2b = 100[/tex]
[tex]\bf Expand\; (Apply\; Distributions\; Law) :-[/tex]
[tex]\tt 2b+20=100[/tex]
[tex]\tt 2b+20-20=100-20\;\; (Subtract \;20\; from\; both \;sides)[/tex]
[tex]\tt 2b=80[/tex] [tex]\tt (Simplify)[/tex]
[tex]\tt \cfrac{2b}{2}=\cfrac{80}{2}\;\;( Divide\; both \;sides\: by\; 2)[/tex]
[tex]\tt b=40[/tex]
~
A snack bar weighs 61g, and 10% of the weight is apple. How many
grams of apple are in the snack bar?
Answers
Answer:
61×10/100
=610/100
=6.1 g
Answer:
6.1g
Step-by-step explanation:
Snack bar: 61g
Apple: 10% of 61g
10/100 = 0.1
0.1 * 61 = 6.1g
There are 6.1g of apple in the snack bar.
Hope this helps!
Which expression could be placed in the box as an example of the reflexive property?
9x + 27 = 2 A. 9(x + 3) B. 27 + 9x C. X * 9 + 27 D. 9x+ 27
Answers
Answer:
A.
Step-by-step explanation:
The reflexive property (of equality/of congruence) states that a number must always be equal to itself.
Because A is the only statement with an = sign, that's the answer.
A cake for 6 people requires 4 eggs.How many eggs are needed to make a cake big enough for 9 people
Answers
Answer:
6
Step-by-step explanation:
Divide the amount of eggs by the amount of people this gives you the amount of eggs needed for one person then times by 9
(4÷6) x9
how do i solve and graph -5x+2y=10
Answers
Answer:
at first write the equation in correct order y=Mx+b. 2y=5x=10
y= 5x/2+5.
Step-by-step explanation:
the slope is 5/2. as we know slope is rise over run. so you go up 5 units and go right 2 unit.
the graph picture is added below click on the PNG. hope it helps. have a great day.
Hello I need help with number 1-12 please and thank you!!!!!
Answers
Answer:
Please see above
Step-by-step explanation:
I have to right stuff here but the answer is above.
i’ll try to mark the right answer as brainliest<: ( 20 points )
Answers
1/2 liter
Explanation:
the plot shows the number of beakers that can hold the amount of liquid stated.
there are 2 beakers that hold 1/8 liters, 7 beakers that hold 1/4 liters, and 3 beakers that hold 1/2 liters.
you can multiply for the total amount of liters:
2(1/8) + 7(1/4) + 3(1/2)
= 2/8 + 7/4 + 3/2
= 1/4 + 7/4 + 6/4 (make the denominator same for all fractions so you can add)
= 14/4
= 7/2
= 3 1/2 (simplified)
total container holds 4 liters, so subtract:
4 - 3 1/2 = 1/2 liters
Graph a quadratic function with a vertex at (2, -3) with a = 3.
Answers
Answer:
bottom one
Step-by-step explanation:
use (x , y)
the top one is -3,2
the bottom one is 2,-3
This graph represents function of y = 3(x−2)²-3.
What is Parabola?A parabola is a U-shaped curve this is drawn for a quadratic function,
f(x) = ax² + b x + c. The graph of the parabola is downward (or opens down), when the price of a is much less than 0, a < 0. The graph of the parabola is upward (or opens up) when the value of a is more than 0, a > 0.
The vertex form of parabola :
y=a(x−h)²+k
(h,k)is the vertex of the parabola, and
Substitute vertex(2,-3), into equation
y = a(x−2)²-3
Substitute a = 3 into equation
y = 3(x−2)²-3
Here is a graph of the y = 3(x−2)²-3
Learn more about parabola here:
brainly.com/question/4074088
#SPJ5
Jenny brought an antique vase for $ 120 and advertises to sell it at a profit of 35% calculate the selling cost
Answers
35% of 120 is :
120 x 0.35 = 42 $ profit
selling cost 120+42=162$
A log is partly buried in the mud. One third of the log is buried and 8 meters of the log are above ground. What is the total length of the log?
Answers
Answer:
12
Step-by-step explanation:
The answer is 12 because if 1/3 of the log is buried then 2/3 of the log is 8 meters. 8 divided by 2 is 4 so you know that 1/3 of the log is 4 meters. Then you just multiply 4 times 3 or add 4 and 8.
Answer:
12 meters
Step-by-step explanation:
see image. If 1/3 log is buried, then 2/3 (the rest of it) log is above ground. If 8meters of log is 2/3 of the log, that is 8 meters is 2 parts, then each part is 4 meters.
2 parts (thirds!) above ground:
8 meters
1 part (one-third) below ground:
4 meters
Total is 8 + 4 =12
or 3×4 = 12
The whole log is 12 meters.
Shaquana owns a small business selling bagels. She knows that in the last week 93 customers paid cash, 7 customers used a debit card, and 5 customers used a credit card.
Based on these results, express the probability that the next customer will pay with cash as a decimal to the nearest hundredth.
Answers
Answer:The probability as a decimal to the nearest hundredth is 0.89
Step-by-step explanation:
i just did it and got it right
The probability that the next customer will pay with cash as a decimal to the nearest hundredth is 0.89
What is probability?"Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are."
What is decimal?"A decimal is a fraction written in a special form. Instead of writing [tex]\frac{1}{2}[/tex], for example, you can express the fraction as the decimal 0.5, where the zero is in the ones place and the five is in the tenths place."
We have
Customers paid cash = 93
Customers used debit card = 7
Customers used credit card = 5
Number of favorable outcomes n(S)
= 93
Total number of outcomes n(E)
= 93+7+5
= 105
The probability that the next customer will pay with cash
= [tex]\frac{n(S)}{n(E)}[/tex]
= [tex]\frac{93}{105}[/tex]
= [tex]0.885[/tex]
= 0.89 (nearest hundredth)
Hence, the probability that the next customer will pay with cash as a decimal to the nearest hundredth is 0.89.
Learn more about probability here
https://brainly.in/question/20635873
#SPJ2
Given the equation, what is the center and radius of the circle?
(X-2) ^2+ (Y+11)^2=100
Answers
Answer:
Center: (2, -11)
Radius: 10
Step-by-step explanation:
(x - 2)² + (y + 11)² = 100
(x - h)² + (y - k)² = r²
-------------------------------
x - 2 = 0
+2 +2
x = 2
------------
y + 11 = 0
-11 -11
y = -11
------------------------------
r² = 100
r = √100
r = 10
----------------------------
Center: (h, k)
Radius: r
-------------------------------
Center: (2, -11)
Radius: 10
I hope this helps!
We are given the equation of circle (x - 2)² + (y + 11)² = 100 , but let's recall the standard equation of circle i.e (x - h)² + (y - k)² = r², where (h, k) is the centre of the circle and r being the radius ;
So, consider the equation of circle ;
[tex]{:\implies \quad \sf (x-2)^{2}+(y+11)^{2}=100}[/tex]
Can be further written as ;
[tex]{:\implies \quad \sf (x-2)^{2}+\{y-(-11)\}^{2}={10}^{2}}[/tex]
On comparing this equation with the standard equation of Circle, we will get, centre and radius as follows
Centre = (2, -11)Radius = 10 units3/9 and 1/2 common denominator
Answers
Given:
[tex]\frac{3}{9}[/tex] and [tex]\frac{1}{2}[/tex]
Finding a common denominator:
9 * 2 = 18
-> If you need to stop here, a common denominator is 18.
Converting [tex]\frac{3}{9}[/tex]:
[tex]\frac{3}{9}[/tex] = [tex]\frac{3*2}{9*2}[/tex] = [tex]\frac{6}{18}[/tex]
Converting [tex]\frac{1}{2}[/tex]:
[tex]\frac{1}{2}[/tex] = [tex]\frac{1*9}{2*9}[/tex] = [tex]\frac{9}{18}[/tex]
-> [tex]\frac{6}{18}[/tex] and [tex]\frac{9}{18}[/tex]
What percent of 6y is 24?
Answers
Step-by-step explanation:
6y×100=24
600y=24
600y/600=24/600
y=4/100
y=0.04
Jenny bought a pair of pants for $19.99 and two shirts for $7.50 each. If she gave the cashier $40.00, how much change did she receive?
Answers
19.99 + 15= 34.99
40-34.99 = 12.51
Jenny received $5.01 change.
3 lines are shown. A line with points M, H, K intersects a line with points J, H, L at point H. A line extends from point H to point P between angle K H J. Angle M H L is 140 degrees and angle K H P is 20 degrees.
What is mAnglePHJ?
100°
120°
140°
160°
Answers
Answer:
120
Step-by-step explanation:
Given:
3 Lines
A line with points M, H, K intersects a line with points J, H, L at point H.
A line extends from point H to point P between angle K H J.
Angle M H L is 140 degrees and angle K H P is 20 degrees.
Solve:
Since, Angle M H L is 140 degrees and angle K H P is 20 degrees.
Then 140 - 20 = 120
Answer is 120
~Lenvy~
please help:
A box in the shape of a right rectangular prism has a length of 8 . 58.5 inches, a width of 4 . 54.5 inches, and a height of 3 . 753.75 inches. What is the volume, in cubic inches, of the box? Do not round your answer.
Answers
Answer:
Step-by-step explanation:
Use the volume formula of a right rectangular prism!
V=whl
Just plug the values in and throw them in your calculator.
w stands for width
h stands for height
l stands for length
Hope that helps. Since it is part of a quiz, I can't give you the answer, but I believe in you!
Which of the following below is the equation of the quadratic function f(x) with x-intercepts of 0 and -3 for which f(-1)=-2. A. f(x)=-x(x+3), B. f(x)=x(x+3), C. f(x)= x+(x+3), D. f(x)= x(x-3)
Answers
✿————✦————✿
Answer: D
✿————✦————✿
A journeyperson earns $28.75 per hour. A new apprentice earns 60% of the journeyperson's rate.
What would be the apprentices weekly net earnings be for a 40-hour week if there were 27% deductions?
Answers
Answer:
$503.70
Step-by-step explanation:
$28.75 × .6 = $17.25
$17.25 × 40 = $690
$690 × .27 = $186.30
$690 - $186.30 = $503.70
What is the value of x?
Answers
Answer:
Step-by-step explanation:
All the three sides are equal. So, it is an equilateral triangle.
Each angle in an equilateral triangle = 60°
7x + 4 = 60
7x = 60 -4
7x = 56
x = 56/7
x = 8
Right triangle
What is the area
Left = 20 in
Bottom = 2 in
Answers
Therefore, it would be 1/2*2*20 which is 20 (sq. Inch)
Answer:
20sq in
Step-by-step explanation:
h x b / 2
20 x 2 / 2
40/2
20
What are the domain and range of the function
Answers
Answer: The answer should be the 2nd one
Step-by-step explanation: