Find the angle between the given vectors to the nearest tenth of a degree.
u = <-5, 8>, v = <-4, 8>
2.7°
-7.3°
5.4°
15.4°
9514 1404 393
Answer:
(c) 5.4°
Step-by-step explanation:
We can simply determine the difference between the angles of the vectors:
arctan(8/-5) -arctan(8/-4) = 122.005° -116.565° = 5.440°
The angle between the vectors is about 5.4°.
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Alternate solutions
1) We could also determine the angle of their ratio.
u/v = (-5 +8i)/(-4 +8i) = (-5 +8i)(-4 -8i)/(4² +8²) = (84 +8i)/80 = 1.05 +0.1i
angle = arctan(0.1/1.05) = 5.440°
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2) Tan(a-b) = (tan(a)+tan(b))/(1 -tan(a)(tan(b))
tan(∠u -∠v) = ((tan(∠u) -tan(∠v))/(1 +tan(∠u)tan(∠v))
= (-1.6 -(-2))/(1 +(-1.6)(-2)) = 0.4/4.2
∠u -∠v = arctan(2/21) = 5.440°
HELP PLEASE 2 Based on past experience, a pencil factory owner believes that 3 out of every 150 pencils will be defective in some way. Using this information. What is the best prediction of the number of defective pencils in a shipment of 3.000 pencils?
PLEASE HURRY!!! 30 POINTS, WILL GIVE BRAINLIEST
A spinner with four equal sectors labeled "purple,” "blue,” "orange,” and "green” is spun 45 times. What is the probability that the spinner will land on "purple” in fewer than 20% of the spins?
0.212
0.221
0.460
0.779
Answer (predicted):
About 0.221
can someone help me please
Answer:
c i think soory if wrong
Step-by-step explanation:
Bailey made risotto using a recipe that called for 223 cups of liquid. Bailey added 23 cup of liquid to the risotto every 10 minutes. Drag and drop to complete the equation to find how many times Bailey added 23 cup of liquid.
Answer:
4 times
Step-by-step explanation:
Given that :
Cups of liquid required = 2 2/3
Fraction of liquid cup added per 10 minutes = 2/3
The number of times 2/3 cups of liquid is added :
Total cups of liquid required / amount of liquid added at a time
2 2/3 ÷ 2/3
8/3 ÷ 2/3
8/3 * 3/2
24 / 6
= 4 times
7(x-2)<2x+3 as a improper fraction
Answer:
-23/3
Step-by-step explanation:
sorry if i am wrong
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A rubber ball is thrown against the pavement and bounces into the air. If the ball is airborne for 2.5 seconds, how long after it bounces upward does the ball reach its maximum height?
Answer:
Step-by-step explanation:
1/2 * 2.5
= 1.25 seconds
please help i put 30 points
Answer:
A
Step-by-step explanation:
The root 5's cancel each other out.
4x-2x = 2x
Therefore
2x/3 is the final answer
Is this correct ? What’s the answer??
Answer:
Im not sure Im sorry Im just trying to get points but I will send to a friend to help
Step-by-step explanation:
Answer in terms of A and B
pls helpp, due in 5 mins !!
I’ll give points but please help me on this and if you don’t know the answer please don’t answer the question thank you
Which angle is supplementary to ∠1?
Chloe makes beaded keychains to sell at local craft fairs. To make k keychains, she uses 15k beads. On Saturday, Chloe made 50 beaded keychains. How many beads did Chloe use to make the keychains?
Answer:
750 beads
Step-by-step explanation: you multiply 15,000 by 50, then removing the 3 extra zeros
Answer:
750
Step-by-step explanation:
Ariana made cookies. She used 3 7/8 cups of flour and 2 1/8 cups of sugar. How much more flour than sugar did Ariana use?
Answer:
1 6/8 cups of flour
Step-by-step explanation:
Just subtract 2 1/8 from 3 7/8
Xyx Motors pays Nick $1,567.46 in dividends every year. If the dividend on one share of Xyx Motors is $4.33, how many shares does Nick own?
a.
383
b.
457
c.
362
d.
276
Answer:
C. 362
Step-by-step explanation:
If you divide 1567.46 by 4.33, you get 362.
Answer:
c
Step-by-step explanation:
A table is sold hire purchase. The sales price consists of deposit of $306 and six monthly instalments of $60 each. How much does a customer pay for the table?
Answer: $666
Step-by-step explanation: 306+ 60(6)= 666
Complete the equation of the line through (-6, 5) and (-3, -3)
Answer:
y = -8/3x - 11
Step-by-step explanation:
(-6, 5) and (-3, -3)
Slope:
m=(y2-y1)/(x2-x1)
m=(-3-5)/(-3+6)
m=(-8)/3
m= -8/3
Slope-intercept:
y - y1 = m(x - x1)
y - 5 = -8/3(x + 6)
y - 5 = -8/3x - 16
y = -8/3x - 11
A chef plaining for a large banquaet think that 2 out of every 5 dinner guests will order his soup appetizer he expects 800 guests at the banquat use equvilent ratios to estimate how many cups of soup he should prepare
Answer:
I think 80
Step-by-step explanation:
2*5=10
800/10 = 80
80 soups
Let f(x) = 8x3 + 16x2 − 15 and g(x) = 2x + 1. Find f of x over g of x.
A) 4 times x squared plus 6 times x minus 3 plus 12 over the quantity 2 times x plus 1
B) 4 times x squared plus 6 times x plus 3 plus 12 over the quantity 2 times x plus 1
C) 4 times x squared plus 6 times x minus 3 minus 12 over the quantity 2 times x plus 1
D) 4 times x squared plus 6 times x plus 3 minus 12 over the quantity 2 times x plus 1
Thanks :')
Answer:
I think the answer is C. Its not B or D though
Step-by-step explanation:
Please help, I need the answer:
Amber tried to evaluate an expression step by step
-3 - (-5) + 4
= -3 + 5 + 4
= -3 + 9
= 6
Find Amber’s mistake
Answer: she didnt get it wrong so its none of the above
Step-by-step explanation:i did it on khan if i got it right mark me brainliest pls
Use the distributive property to write an expression that is equivalent to 10(10x - 4).
Answer:
100x-40
Step-by-step explanation:
10*10x and 10* -4
what is this equal to
[tex] \frac{a + 8}{2} = \frac{a - 4}{8} [/tex]
A man's income is increased in the ratio 47:40.find the increase percentage
Answer:
14.8%
Step-by-step explanation:
Given data
Initial income=47
Final income=40
The change= 47-40
=7
Hence the percent increase is
% increase= Change/ initial*100
% increase= 7/47*100
% increase=0.148*100
% increase=14.8%
A circle has a circumference of 3.14 units.
What is the diameter of the circle?
inits
Answer:
D = 1
Step-by-step explanation:
0.99949
round the answer so its 1
diameter = 1
Zander read 13 3/4pages in 1/4 of an hour. Sydney read 43 1/3 pages in 2/3 of an hour. At these rates, would Zander or Sydney read more pages in 1 hour?
Answer:
At these rates Sydney read 10 pages per hour more than Zander.
Step-by-step explanation:
Zander read [tex]13\frac{3}{4}[/tex] pages in [tex]\frac{1}{4}[/tex] of an hour.
Therefore, pages read by Zander in 1 hour = [tex]\frac{\text{Total pages read}}{\text{Total time taken}}[/tex]
= [tex]\frac{13\frac{3}{4}}{\frac{1}{4}}[/tex]
= [tex]\frac{55}{4}\times \frac{4}{1}[/tex]
= 55 pages per hour
Sydney read [tex]43\frac{1}{3}[/tex] pages in [tex]\frac{2}{3}[/tex] of an hours.
Pages read by Sydney in 1 hour = [tex]\frac{43\frac{1}{3}}{\frac{2}{3} }[/tex]
= [tex]\frac{130}{3}\times \frac{3}{2}[/tex]
= 65 pages per hour
Therefore, number of pages read more by Sydney as compared to Zander,
= 65 - 55
= 10 pages per hour
At these rates Sydney read 10 pages per hour more than Zander.
The volume is ___ cubic centimeters.
Answer:
4.24
Step-by-step explanation:
Help me find x for the triangle!!!
Answer:
i hope it help u
Step-by-step explanation:
x=180-(85+63)
x=180-148
x=32
What would be the first step in solving the equation 7/9x + 34 = 174?
Answer:
[tex] \frac{7}{9} x + 34 = 174 \\ => \frac{7x}{9} = 174 - 34 \\ = > \frac{7x}{9} = 140 \\ = > 7x = 140 \times 9 \\ = > 7x = 1260 \\ = > x = \frac{1260}{7} = 180 \\ { \huge{ \pink{x = 180}}}[/tex]
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