A piece of art weighing 30 pounds is hung from two wires as shown below. Each wire is supporting half of the weight of the picture. However, since the wires extend out at an angle, they are also imparting force towards the left and right. Therefore, the force on each wire is greater than 15 pounds. Look at the diagram above with the vectors. Use trigonometry to find ||→ux||and ||→vx||.
||→ux||=____  pounds    ||→vx||= ___ pounds    What is the total force (in pounds) exerted on each wire?
||→u||= ____pounds    ||→v||=  ____pounds   ​​​​

Answer:

150 pairs

Step-by-step explanation:

so total money spent Is equal to 5000

profit is equal to 3000

profit on each pair is equal to 20

so 3000 divided by 20

which gives 150

so 150 pairs of sunglasses were involved

pls give me brainliest I need it

Answer:

The sunglasses involved are 200

Angle A = 54 degree

Angle B = 72 degree

Angle C = 54 degree

It is a triangle, so the total of angle is 180 degree

Find X

8x + 6x + 6x = 180

20x = 180

x = 180/20

x = 9°

Value of x is 9°

Substitute a score of x for every angle =

Angle A

= 6x

= 6(9)

= 54°

Angle B

= 8x

= 8(9)

= 72°

Angle C

= 6x

= 6(9)

= 54°

#LearnWithBrainly

Answer:

I think A

Step-by-step explanation:

   But im not sure

Answer:

12.98x36.7=476.366

Answer:

she has a total of 140 coins

Step-by-step explanation:

x is coins in total

5/100 times x = 7

0.05 times x = 7

x = 7/0.005

x = 700/5

divide that you get 140

Answer:

Maybe 7.14285714?

Step-by-step explanation:

50% divided by 7?

I'm sorry I just guessed

Answer:

I think that it is A. 19

Step-by-step explanation:

I think it is A. because 19x2=38. 19-5=14, 14x2=28. 28+38=66.

P=66

L=19

W=14

Sorry if I'm wrong.

Answer:

15 - 2x = 3

Step-by-step explanation:

Let x be the amount of days that have passed.

15 - 2x gives the amount at any day number x.

15 - 2x = 3 represents the day when you had 3 bottles left.

Answer:

396.9

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

126/315

126/315×100/100=40/100

40

Answer:

(-1,6) is where the point would be.

Just a reflection across the y axis.

Answer:

(-6, 1)

Step-by-step explanation:

I rotate 270 degrees means to turn 90 degrees clockwise 3 times, If You rotate once it is in the +x, -y rotate again -x, -y, and the last time is -x +y. Please give brainliest if this is helpful. Sorry if this is confusing :)

The other person did a 180 degrees rotation instead of 270

Answer:

Proved

Step-by-step explanation:

This question is incomplete. The complete details are:

[tex]v = 13.5m/s[/tex] --- speed of the lorry

[tex]v_2 =50km/h[/tex] --- speed limit on the road

Required

Prove that the lorry is within the speed limit

To do this, we simply convert the speed of the lorry to km/h.

So, we have:

[tex]v = 13.5m/s[/tex]

[tex]1m = 0.001km[/tex]

and

[tex]1s = \frac{1}{3600}h[/tex]

So, the expression becomes:

[tex]v = \frac{13.5 * 0.001km}{1/3600h}[/tex]

[tex]v = \frac{0.0135km}{1/3600h}[/tex]

Rewrite as:

[tex]v = 0.0135km/h * 3600[/tex]

[tex]v = 48.6km/h[/tex]

48.6km/h is less than 50km/h (the speed limit).

Hence, the lorry is within the speed limit.

9514 1404 393

Answer:

  93.84

Step-by-step explanation:

The exponential function will be of the form ...

  q = a×b^t

where 'a' is the initial quantity and b is the growth factor per time period t.

If we use decades as the time period, then the growth factor is 1 more than the growth rate of -4%. For the initial value 140, the function is ...

  q = 140×(1 -4%)^t

  q = 140×0.96^t

98 years is 9.8 decades, so the quantity q remaining will be ...

  q = 140×0.96^9.8 ≈ 93.84

The quantity remaining will be 93.84 after 98 years.

Answer:

94.6

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer: 9

Step-by-step explanation:

Square Rooting is basically going down to the origins of the number, trying to figure out what times (x) would give you your current number. In order it get 81, you would need  to do 9*9, therefore making the square root 9

Answer:

The height is 12 feet.

Step-by-step explanation:

The formula for area of a triangle is 1/2 ⋅ b (base) ⋅ h (height).

Now let's plug in the numbers.

According to the word problem, the base is 12 feet.

As of now, our equation is: 1/2 ⋅ 12 ⋅ h

The only number times 1/2 that would give you an answer of 72 is 144.

12⋅12 = 144.

This means the height is 12.

And, 1/2 ⋅ 12 ⋅ 12 ⋅ = 72.

Because the area of the triangle is 72, 72 is the number we are looking for.

Therefore, the height is 12.

I really hope this made sense, it was a bit rushed.

In the figure, angles 1 and 5 are alternate exterior angles. Use the Alternate Exterior ... each pair of alternate interior angles is congruent. ... 1 and 3. SOLUTION: If the radiation rays form parallel lines, then ∠1 and ... supplementary; since 3 and 5 are a linear pair, ... ∠8, ∠9 and ∠10, ∠11 and ∠12, and ∠13 and ∠14.

Answer:

(0,1)

Step-by-step explanation:

I put it in desmos :)

Answer:

0,1

Step-by-step explanation:

Answer:

Im sorry but i can't read it

Step-by-step explanation:

Answer:

89 degrees

Step-by-step explanation:

Answer:

91 degrees

Step-by-step explanation:

180-89=91 degrees

180 is the line that 89 degrees is on.

Answer:

Sale Price = $29.05 (answer). This means the cost of the item to you is $29.05. You will pay $29.05 for a item with original price of $35 when discounted 17%. In this example, if you buy an item at $35 with 17% discount, you will pay 35 - 5.95 = 29.05 dollars

Answer:

x = 1 and x = 7

Step-by-step explanation:

The given equation is [tex]x^2 - 8x + 7 = 0[/tex].

We need to solve the equation.

It is a quadratic equation whose solution is given by :

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]

Here, a = 1, b = -8 and c = 7

Put values,

[tex]x=\dfrac{-(-8)\pm \sqrt{(-8)^2-4(1)(7)} }{2(1)}\\\\=\dfrac{8\pm \sqrt{64-28}}{2}\\\\=\dfrac{8\pm 6}{2}\\\\=\dfrac{8+6}{2},\dfrac{8-6}{2}\\\\=7,1[/tex]

So, the values of x are x = 1 and x = 7.

Answer:

28

Step-by-step explanation:

Answer:

56 divided by 2 would be 28.

Step-by-step explanation:

[tex]\frac{56}{2}[/tex] is the same thing as half of 56, since two 28s added together is 56, which means [tex]\frac{56}{2}[/tex] is equivalent to 28.

Answer:

H0 : μd = 0

H1 : μd ≠ 0

Test statistic = 0.6687 ;

Pvalue = 0.7482 ;

Fail to reject H0.

Step-by-step explanation:

H0 : μd = 0

H1 : μd ≠ 0

Given the data:

Before: 15 26 66 115 62 64

After: 16 24 42 80 78 73

Difference = -1 2 24 35 -18 -9

Mean difference, d ; Σd / n

d = Σx / n = ((-1) + 2 + 24 + 35 + (-18) + (-9))

d = Σx / n = 33 / 6 = 5.5

Test statistic = (d / std / sqrt(n))

std = sample standard deviation = 20.146

Test statistic = 5.5 ÷ (20.146/sqrt(6))

Test statistic = 0.6687

The Pvalue :

P(Z < 0.6687) = 0.7482

At α = 0.05

Pvalue > α ; Hence we fail to reject H0

The data does not suggest a significant mean difference in the average number of accidents after information was added to road signs.

Answer:

17

Step-by-step explanation:

Answer:

330 degrees

Step-by-step explanation:

look at 4th quadrant of unit circle

(cos,sin)

(sqrt3/2,-1/2)=330

Answer:

x>2

Step-by-step explanation:

x+1>3

x>3-1

x>2

I hope this helps

Answer:

x = -1.4

Step-by-step explanation:

-3(x + 4) = 2x - 5

-3x + (-3*4) = 2x - 5

The mistake was in the above equation where -3 should be multiplied with 4.

-3x -12 = 2x -5

5 -12 = 2x+3x

-7 = 5x

x = -7/5 = - 1.4