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:

y = - [tex]\frac{3}{2}[/tex]x - [tex]\frac{8}{3}[/tex]

Step-by-step explanation:

2x-3y=8

rewrite, solve for y

3y = 2x - 8

divide by 3

y = [tex]\frac{2}{3}[/tex]x - [tex]\frac{8}{3}[/tex]

perpendicular = negative reciprocal slope = - [tex]\frac{3}{2}[/tex]

Answer:

Total saving from First Store = $ 1.5 + $ 5 = $ 6.5

Total saving from Second Store = $ 5

Step-by-step explanation:

Given - Jason can buy a bag of dog food for $25 at two different stores. One store offers 6% cash back on the purchase plus $5 off his next purchase. The other store offers 20% cash back.

To find - (a)  Calculate the total savings from the first store, including the savings on the next purchase.  

              (b) Calculate the total savings from the second store.

Proof -

Given that,

Total cashback Jason get from First Store = 25×6% = 25×0.06 = $ 1.5

So,

Total saving from First Store = $ 1.5 + $ 5 = $ 6.5

Now,

Total cashback Jason get from Second Store = 25×20% = 25×0.20 = $ 5

So,

Total saving from Second Store = $ 5

Answer:no

Step-by-step explanation:

Answer:

What is the file?

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

2 ^(2- -3)

= 2^5

Answer:

32

Step-by-step explanation:

[tex] \dfrac{2^2}{2^{-3}} = 2^{2 - (-3)} = 2^{2 + 3} = 2^5 = 32 [/tex]​

The scenario that will bring about a type II error will be when the true mean is 405 ppm and he uses a significance level of 0.15

It should be noted that a type II error simply describes the error that occurs when the individual fails to reject a null hypothesis.

From the complete question, type II error will be when the true mean is 405 ppm and he uses a significance level of 0.15. In this case, the null hyothesis was not rejected.

Learn more about type II error on:

https://brainly.com/question/16012410

Answer:

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

[tex] \frac{a + cd}{a} [/tex]

Step-by-step explanation:

ax - cd = a

=> ax = a + cd

[tex] = > x = \frac{a + cd}{a} [/tex]

Hence,

Option A is the answer.

Answer:

A. [tex]\frac{a+cd}{a}[/tex]

Step-by-step explanation:

ax-cd=a

Add cd to both sides:

ax=a+cd

Divide both sides by a:

x=[tex]\frac{a+cd}{a}[/tex]

Answer:

[tex]let \: that \: number \: be \: m \\ 10 \times m = \frac{5}{6} + \frac{5}{6} \\ 10m = \frac{10}{6} \\ m = \frac{10}{60} \\ m = \frac{1}{6} [/tex]

Answer:

The critical value is T = 3.143.

Step-by-step explanation:

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 7 - 1 = 6

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 6 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 3.143.

The critical value is T = 3.143.

Answer:

Its B and its not that hard because im doing that rn lol but do you need me to explain?

Step-by-step explanation:

1. exponential

2. quadratic

3. linear

4. exponential

Answer:

exponential

Quadratic

linear

exponential

Answer:

166

Step-by-step explanation:

multiply the 6 by 2 and then multiply 13 by 10

to get 166

Answer:

Step-by-step explanation:

The radius should be 17.5 if the height is 35. And also what is the question?

Answer:

Base area = 1,134.115

Lateral surface = 2,377.142

Slant height = 39.825

Surface area = 3,511.257

Volume = 13,231.341

Step-by-step explanation:

Answer:

[tex]\sqrt{-25} = 5i[/tex]

Step-by-step explanation:

Given

[tex]\sqrt{-25[/tex]

Required

An equivalent

We have:

[tex]\sqrt{-25[/tex]

Express -25 as -1 * 25

[tex]\sqrt{-25} = \sqrt{-1 * 25}[/tex]

Split

[tex]\sqrt{-25} = \sqrt{-1} * \sqrt{25}[/tex]

[tex]\sqrt{25} = 5[/tex], so:

[tex]\sqrt{-25} = \sqrt{-1} * 5[/tex]

[tex]\sqrt{-1} = i[/tex] --- complex numbers

So:

[tex]\sqrt{-25} = i * 5[/tex]

[tex]\sqrt{-25} = 5i[/tex]

Hence, the equivalent is (D)

Answer:

There were 36 space rocks in total.

Step-by-step explanation:

First, you need to find what fraction of the original rocks are silver.

If 2/3 are purple, then 1/3 of them are not.

If 3/4 of the remaining 1/3 are blue, then 3/4 x 1/3 = 3/12 rocks are blue.

2/3 of the rock are purple, 3/12 of them are blue, and the remaining is silver.

So, you need to do 2/3 - 3/12, then find common denominators so, 8/12 - 3/12 which = 1/12.

This means 1/12 of the rocks are silver. If there are silver rocks, you need to find a suitable equation that needs to be solved.

So:

1/12r = 3

r = 36 silver rocks

There were 36 space rocks in total.

hope this helps :)

Answer:

2 over 15 I think. I might be wrong. I rarely deal with fractions anymore.

Answer:

C

Step-by-step explanation:

different size wedges would be the most visibly different

Answer:

The final balance is $5,389.

The total compound interest is $389.

Step-by-step explanation:

Answer:

Pretty sure it's the first 3 options.

Step-by-step explanation:

Hi first of all, im totally new at this, but this seemed like a simple q. If anyone sees this and finds it wrong, pls pls let me know!

China and USA have highest/lowest density. You can tell by looking at the chart.

Indias density is about 360 people/km^2

Divide India's population by the Area

=  360.22

And the last option, according to me, is wrong.

Hope it helps !! And if it doesnt, again, pls let me know :)

Answer:

13+63 if I'm not wrong......

Answer:

all the stuff written there are answers if I'm wrong tell me I'll try it out again have a good day.

Answer:

To calculate the gradient of a straight line we choose two points on the line itself. From these two points we calculate: The difference in height (y co-ordinates) ÷ The difference in width (x co-ordinates). If the answer is a positive value then the line is uphill in direction.

Answer:

4 1/10

Step-by-step explanation:

4.1

= 4 + 1/10

= 4 1/10

Hope you understand!

Answer:

1. vertical angles

2. 90°, complementary

3. 180°, supplementary

Answer:

1) Vertical angles

2) 90°, complementary

3) 180°, supplementary

Step-by-step explanation:

1) Intersecting lines form vertical angles.

According to the word problem, ∠APC and ∠DQB are formed by intersecting lines, meaning they are vertical angles.

2) ∠AQV is 30°, and ∠VQT is 60°.

30° + 60° = 90°. The sum of these angles is 90°.

And, complementary angles are two angles with measures that sum up to 90°.

3) ∠AQC is 150°, because 30° + 60° + 60° = 150°.

∠CQB is 30°.

And, 150° + 30° = 180°.

Supplementary angles are two angles with measures that sum up to 180°.

The vertices of ∆ABC are A (-2,5), B(-2,4), and C(-5, 3). If ∆ABC is reflected across the line y=-2 to produce the image ∆A’B’C, find the coordinates of the vertex A’ if ∆ABC is reflected across the line x= -2.