Consider vectors u = ⟨2, 1⟩ and v = ⟨4, –1⟩ with the angle between them equal to 40°. What are the scalar projections uv and vu?

a) uv = 1.33 and vu = 1.33
b) uv = 1.33 and vu = 3.16
c) uv = 1.71 and vu = 1.33
d) uv = 1.71 and vu = 3.16

Question: Reflective symmetry over y = (3/5)x ?  

Answer:  No

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Question: Reflective symmetry over y = (5/3)x ?  

Answer:  No

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Explanation:

For any parallelogram that's a square, we'll have four lines of symmetry: The two diagonals and two extra lines of symmetry for the opposite pairs of sides.

In this case, we don't have a square (we can prove this by finding the lengths of each side of the parallelogram), so we move on.

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If the parallelogram is a rectangle, then we'll have two lines of symmetry: one for each pair of opposite sides.

However, we don't have a rectangle either. We can prove this by finding the slopes of the blue lines of the parallelogram, and finding they are not perpendicular slopes.

So we move on.

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The last case is a parallelogram that isn't a rectangle. So it's not a square either. That's what we have here. For parallelograms of this nature, there are no lines of symmetry. We cannot fold it along any line to have it match up with itself.

So that's why the answer is "no" to both of these questions.

Answer:

No and No.

Step-by-step explanation:

Answer: 91

Step-by-step explanation:

Let adults tickets be a

Let students ticket be b.

The information in the question can be presented as an equation as:

a + b = 218 .......... i

8a + 5b = 1363 ......... ii

Multiply equation i by 5

Multiply equation ii by 1

5a + 5b = 1090 ........ iii

8a + 5b = 1363 ....... iv

Subtract iii from iv

3a= 273

a = 273/3

a = 91

Number of adult's ticket sold = 91

formula

perimeter:c²=a2+b2

area:A=length x width

Answer:

-2, -1

Step-by-step explanation:

So moving left would affect the x-axis.

Left would move it to the negatives so -1 - 1 = -2.

Moving up would affect the y-axis.

Up would move towards the positive so -5 + 4 = -1.

-2, -1

Answer:

it will be C) SAS(side angle side)

Answer:

A. y+6 = -3(x-2)

Step-by-step explanation:

The slope point formula is:

y - y₁ = m (x - x₁)

Our slope is negative 3, and our coordinates given are 2 and -6.

Substitute -3 for m, -6 for y₁, and 2 for x₁

y - (-6) = -3 (x - 2)

Negative and negative multiplied together make postive

A. y+6 = -3 (x-2)

Answer:

25

Step-by-step explanation:

Answer: 25

Step-by-step explanation:

60 percent (calculated percentage %) of what number equals 15? Answer: 25.

Answer:

2

Step-by-step explanation:

Answer:

I don't really know about this sorry sorry

Answer:

✨ B

Step-by-step explanation:

✨Hope this helps✨

Answer: In 5 years it will be worth £455

Step-by-step explanation:

Step 1

Given

The cost of the T.V. for Colin = £530.

The rate of depreciation per year = 3%

Time/ period = 5 years

Formulae to be used

F = P  X (1 - r) ^ n

where

F = the future value after depreciation

P = the present value.

r =the interest rate per time period

n = the time/ periods

Step 2--- SOLVING

F = P  X (1- r) ^ n

F= 530 x (1-0.03) ^ 5

=530 x 0.858734

=£455.129

Rounding up to the nearest penny where appropriate = £455

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

0.6

Step-by-step explanation:

Brainliest please

Answer:

Pretty sure it's 2

Step-by-step explanation:

Answer:

3×3=9

Step-by-step explanation:

hope this helps haha

Answer:

Step-by-step explanation:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\(2,-5)\quad\implies\quad x_1=2\,,\ \ y_1=-5\\\\(3,-7)\quad\implies\quad x_2=3\,,\ \ y_2=-7\\\\d=\sqrt{(3-2)^2+(-7+5)^2}= \sqrt{1^2+(-2)^2}=\sqrt{1+4}=\sqrt5=2.236....\approx2.24[/tex]

Answer:

14.49

Step-by-step explanation:

14 * 0.035 = 0.49

14 + 0.49 = 14.49

Answer:

Grape juice has 180 containers.

Step-by-step explanation:

Given that the ratio of containers of orange juice to containers of grape juice in a store is 5 orange juices to 4 grape juices.

i.e.

Orange Juice containers : Grape Juice containers = 5 : 4

Total containers = 405

It means if we divide 405 by 9, we get the 9 equal parts of 45.

i.e. 405 / 9 = 45

as

Orange Juice containers : Grape Juice containers = 5 : 4

It means the share of Grape Juice containers is 4 parts out of 9 parts.

Thus, multiply 45 by 4 to determine the number of containers grape juice have:

45 × 4 =  180 containers

Therefore, grape juice has 180 containers.

Answer:

yes

Step-by-step explanation:

ok thus is a help for help tho

Answer: Mike stops running at 12:18 PM

Step-by-step explanation: We know he runs 1 mile each 12 minutes and we also knows he ran 4 miles so the equation is 12*4 or (12 times 4) which is equal to 48. We then add 38 minutes to 11:30 AM and end up at 12:18 PM.  

Answer:

12:18 P.M

Step-by-step explanation:

So the first thing I did was find out the amount of time it takes Mike to run 4 miles by multiplying 12 x 4 = 48

So Mike spends 48 minutes running the 4 miles.

Now we add 48 minutes to 11:30. So since there is no such thing as 11:78 I first subtracted the 30 minutes from the 48 minutes and added that to 11:30 which gave me 12:00 pm and then I just added the reamaining18 minutes.

which in conclusion means,

Mike will finish his 4 miles at 12:18 P.M

Answer:

If you do 7 x 6 you get 42

Step-by-step explanation:

Bill was in his cousin's house for 42 days

A week is a time unit equal to seven days

Bill went to visit his cousin Dana for six weeks

1 week = 7 days

6 week =7×6=42 days

Hence, Bill was in his cousin's house for 42 days

Learn more about Week here

https://brainly.com/question/18051939

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Answer:

Thats A radical number

Step-by-step explanation:

Since its. Sqare root with a never ending decimal (not perfect)

Answer:

I think its 8 but I'm not positive sorry if I'm wrong!

Step-by-step explanation:

The Y-intercept is when the line of the graph crosses through the y intercept

Answer:

20

Step-by-step explanation:

(5/100) * (400/1)

cancel the zeros

4 * 5= 20

Answer:

28/35

Step-by-step explanation:

Soh-Cah-Toa

Sin = Opposite/Hypotenuse

Cos = Adjacent/Hypotenuse

Tan = Opposite/Adjacent

Answer:

68.75

Step-by-step explanation:

to find the tax you multiply the total by the tax percentage 67.40 x .02 = 1.35

so the total for just tax is 1.35 so you add that to how much the groceries were originally

67.40+1.35=68.75

Answer:

[tex]x = 14ft[/tex]

Step-by-step explanation:

Given

[tex]Actual\ Length = 21ft[/tex]

Model:

[tex]3\ ft = 2\ in[/tex]

Required

Determine the length of the replica

Represent the model as a ratio:

[tex]Ratio = 3\ in:2\ ft[/tex]

Convert to fraction

[tex]Ratio = \frac{3\ in}{2\ ft}[/tex]

Represent the actual lengths as a ratio

[tex]Ratio = 21\ ft : x[/tex]

Where x is the length of the replica

Convert to fraction

[tex]Ratio = \frac{21\ in}{x}[/tex]

Equate both ratios (because they are in proportion)

[tex]\frac{3\ in}{2\ ft} = \frac{21\ in}{x}[/tex]

[tex]\frac{3}{2\ ft} = \frac{21}{x}[/tex]

Cross Multiply:

[tex]3 * x = 21 * 2\ ft[/tex]

[tex]3x = 42\ ft[/tex]

Solve for x

[tex]x = \frac{42ft}{3}[/tex]

[tex]x = 14ft[/tex]

Hence, the length of the replica is 14ft