Answer:
[tex]0.80i +0.2j[/tex]
Step-by-step explanation:
The projection of u on v is expressed as;
[tex]proj_{v} u = \dfrac{u*v}{|v|^2} * v[/tex]
Given
u=1.6i+3.3j
v=-2.1i-.5j
u*v = (1.6i+3.3j )*(-2.1i-0.5j )
u*v = 1.6i(-2.1i) + 3.3j(-0.5j)
u*v = -3.36 - 1.65
u*v = -5.01
|v|² = (√(-2.1)²+(-0.5)²)²
|v|² = (-2.1)²+(-0.5)²
|v|² = 4.41+0.25
|v|² = 4.66
Substitute into the formula;
[tex]= \frac{1.71}{-5.01} * (-2.1i - 0.5j)\\= -0.3413 (-2.1i - 0.5j)\\= 0.8i + 0.17j\\= 0.80i +0.2j[/tex]
Bryce is testing whether school is more enjoyable when students are making high grades. He asked 100 students if they enjoyed school and whether their GPA was
above or below 3.0. He found that 33 of the 40 students with a GPA above 3.0 reported that they enjoyed school, and 5 of the 60 students with a GPA below 3.0
reported that they enjoyed school. What is the probability that a student with a GPA below 3.0 does not enjoy school?
Find the area of this parallelogram.
A)
20 cm2
B)
24 cm²
40 cm²
Answer:
It's 40cm²
Step-by-step explanation:
Base times height.
April has 6 fruit bars.she cuts them into halves. how many 1/2 size bar pieces does she have
Answer:
12
Step-by-step explanation:
If you cut them into halves then there will be twice as many pieces.
so you do:
6 x 2
= 12
PLEASE HELP WILL MARK BRAINLIEST
Answer:
36
Step-by-step explanation:
There are 30 red marbles and the ratio of black to yellow is 4/5, so 4/5=orange/green=orange/30.
30 is 6 times 5, so black=6 times 4=24. There are 24 black marbles.
Total of black and yellow=24+30=54.
40% of the marbles are green so 60% are black/yellow. Also 60% is 54 marbles.
60% is 60/100=3/5 so 3/5 of the total is 54 marbles, therefore 1/5 is 54/3=18 and 2/5 is the number of red marbles=2 times 18=36 red marbles.
to be honest i can't think of anything original for the visual thing, but i think the pi chart from the person above me would work well
Answer: 36
Step-by-step explanation: 2/5 of marbles are red, and 4:5 ratio is multiplied by 6 because there are 30 yellow marbles and so 3/5 of the marbles are 54 and 2/5 are 36. For visual model draw a pi chart with 40% red, 33% yellow, and 27% black.
Use the distributive property to rewrite each algebraic expression 7(y+2) + (8+r) + 8(x + 9)
Answer:
7y+r+8x+94
Explanation
Given the algebraic expression 7(y+2) + (8+r) + 8(x + 9)
Given A, B and C. According to distributive law;
A(B+C) = AB + AC
A is distributed over C. In the same vein
On expanding the expression;
7(y+2) + (8+r) + 8(x + 9)
7y+7(2) + 8 + r + 8(x)+ 8(9)
7y+14+8+r+8x+72
Bringing the variables and constants together
7y+r+8x+14+8+72
7y+r+8x+94
Make a bowl of Pho wit 3 ingredients that cost 14.50.
Will choose brainliest
Answer: $8 bowl, noodles, bean sprouts, beef
Step-by-step explanation:
A cylinder has a base radius of 6ft and a height of 18ft. What is its volume in cubic ft, round to the nearest tenth?
Answer: 2035.8
Step-by-step explanation:
The volume of the cylinder is 2034.72 cubic ft
What is the volume of the cylinder?The volume of a cylinder is the capacity of the cylinder which calculates the amount of material quantity it can hold or we can say the volume of a cylinder is the number of unit cubes that can be fit into it. The formula for volume of cylinder is V = A × h
Assuming the given cylinder is Right Circular Cylinder
Then the formula is V = πr²h
From the question radius (r)= 6ft
height (h)=18ft
volume (V)= π× 6² × 18
=2034.72 cubic ft
Thus the volume of the cylinder is 2034.72 cubic ft
To know more about volume of cylinder click here
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NO LINKS PLEASE
SOMEONE HELP IM DESPERATE
FIND THE EXACT VALUE OF EACH TRIGONOMETRIC FUNCTION USING THE UNIT CIRCLE
Answer: 45
Step-by-step explanation: 360-315=45
Enteros 15+18 resultado
The high school soccer team can have no more
than 22 players on the roster. Write and solve an
inequality finding the number of players the
coach may choose if the coach already has 13
players.
Answer:
13 + x ≤ 22
x ≤ 9
Step-by-step explanation:
Total players = 22
Players available = 13
Players remaining = x
The inequality can be written as:
Players available + Players remaining ≤ Total players
13 + x ≤ 22
x ≤ 22 - 13
x ≤ 9
What is an equation of the line that passes through the point (3,-1) and is parallel to the line 5.2 + 3y = 6?
Answer: Its y=-1.
Step-by-step explanation:
Find the value of x to the nearest tenth.
Answer:
2.8
Step-by-step explanation:
√(4² - 2²) = √12
=> √[(√12)² - 2²] = √8 ≈ 2.8
An inflatable figure is a decoration on Gabriella's lawn. A rope 42 in. long secures the top of the figure to the ground at an angle of 80°. About how tall is the figure?
round to the nearest tenth of an inch
Answer:
41.4 in
Step-by-step explanation:
(sin 80) opposite = x
hypotenuse 42
x = 42 * sin (80) = 41.4 in
2) Michael decides to go for a cycle ride. He rides a
distance of 80 km at an average speed of 24 km/h.
Work out how long Michael’s ride takes
Step-by-step explanation:
REMEMBER D/S×T (triangle)
therefore, finding time
D/S
80/24
make sure to press the degrees button on your calculator
3 hours and 20 minutes
Yezenia is filling up her outdoor swimming pool to get ready for summer time. She leaves the garden hose running for 1000 minutes in order to fill the pool, which has a volume of 15,460 gallons. What is the approximate rate at which water leaves the garden hose?
Answer:
15.46 gallons per minutes
Step-by-step explanation:
Garden hose was running for 1000 minutes
Volume of the pool = 15,460 gallons
What is the approximate rate at which water leaves the garden hose?
Rate at which water leaves the garden hose = Volume of the pool / running time of the hose
= 15,460 gallons / 1000 minutes
= 15.46 gallons per minutes
Rate at which water leaves the garden hose = 15.46 gallons per minutes
whata 10 divided by 100
Answer:
it 10000
Step-by-step explanation:
79ib dlndokveik dinfl. kwbfb
Which statement is true?
Answer:
C would be your answer!
Step-by-step explanation:
You have 64 grams of a radioactive kind of strontium. If its half-life is 6 hours, how much will be left after 3 hours?
Answer: 48 grams
Step-by-step explanation:
The half-life of an element refers to the amount of time that it takes for half of it to decay.
For instance, if the half life is 2 hours and the element weighs 12 g, the element will only weigh 6g after 2 hours.
The half-life of the above is 6 hours, in 3 hours therefore, it would only have lost of the half that it would have lost in 3 hours which means it would have lost only a quarter.
= 64 * ( 1 - 1/4)
= 48 grams
Sergio ate 3.5 cookies. Each cookie contained 5.7 grams of sugar. How many grams of sugar did Sergio eat?
Answer:
19.95
Step-by-step explanation:
5.7 times 3 = 17.1
5.7 ÷ 2 = 2.85
17.1 + 2.85 = 19.95
A bicycle has a listed price of $615.98 before tax. If the sales tax rate is 9.75%, find the total cost of the bicycle with sales tax included. Round your answer to the nearest cent, as necessary.
During a weekend, the manager of a mall gave away gift cards to every 80th person who visited the mall.
On Saturday, 1,210 people visited the mall.
On Sunday, 1,814 people visited the mall.
A principal was buying T-shirts for his school's chess club and found that the total cost
in dollars could be found by the function f(x) = 9x + 19, where x is the number of
members in the club. If there are at least 8 members on the team but not more than
11, then which of the following statements describes the function?
A. The value of x must be a whole number between 8 and 11 and the value of f(x) must
be a whole number between 72 and 99.
B. The value of x must be a whole number between 8 and 11 and the value of f(x) must
be a whole number between 91 and 118.
C. The values of x and f(x) must both be whole numbers between 91 and 118.
D. The values of x and f(x) must both be whole numbers between 9 and 19.
What is the area of the triangle?
24
7
25
units2
What is the answer to this question?
The ecology club plans to increase the size of a rectangular green space by adding 6 feet to each dimension of the green space. a. The ecology club wants to put fencing around the proposed green space. How many more feet of fencing will the club need to buy for the proposed green space than it would have bought for the current green space? b. The ecology club wants to cover the proposed green space with a layer of sod. How much greater is the area of the proposed green space than the area of the current green space? a a. 9 more feet of fencing b. 441 square feet greater b a. 24 more feet of fencing b. 276 square feet greater c a. 36 more feet of fencing b. 624 square feet greater d a. 12 more feet of fencing b. 129 square feet greate
Answer:
gg
Step-by-step explanation:
gfg
During a blind taste test of 8 different sodas, some people were asked to choose a favorite. Each dot represents one person. If the ratio of people choosing B to people choosing H stays the same, he many people will choose H if the number of people who choose B increases to 20
Answer:
20:5
Step-by-step explanation:
1. What is the ratio for B and H?
Ratio = 4 to 1 or 4:1
2. What is the question asking?
The question is increasing 5 to 20. What is the quotient of 20 and 5? 4! The question is basically multiplying B by 5. Now, since math is a very jealous subject, it needs to be done on the other side too! So you need to multiply the B, which is 1, by 5.
3. 1 x 5?
5
4. Answer
So, since B is 20 and H is 5, the ratio would be 20:5!
Hiii, so I REALLY want to rank up, and I just need 4 more Branliests, so if you liked my answer, can you please give me one? Thank you so much, and thanks for the points!!
Answer:
Step-by-step explanation:
J
SOMEONE PLEASE HELP ME!
Answer:
A
Step-by-step explanation
Evaluate the expression for the given value of x.
3/4 x − 12 for x = 16
Answer:
if x is 16 then 3/4(16) - 12
when you simplify 4 by 16
3(4)-12
12-12=0
Follow the process of completing the square to solve x2 - 10x + 8 = 0. What is the value of the constant that will be isolated on the right side of the equation in step 3? -8 -12 -32
Answer:
25
Step-by-step explanation:
Given the expression x^2 - 10x + 8 = 0.
According to completing the square method
Subtract 8 from both sides
x^2 - 10x + 8 - 8 = 0 - 8
x^2 - 10x = -8
Complete the square
Add the square of half of coefficient of x to both sides
Coefficient of x = -10
Half of Coefficient of x = -10/2
Half of Coefficient of x = -5
Square of Half of Coefficient of x = (-5)^2
Square of Half of Coefficient of x = 25
Add (-5)^2 to both sides
x^2 - 10x + (-5)^2 = -8 + (-5)^2
(x-5)^2 = -8 + 25
(x-5)^2 = 17
Hence the required constant that was added is 25
I just need this and that it
