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:

$352

Step-by-step explanation:

first discount = 550 : 2 = $275

Second discount:

10 : 100 = x : 275

x = (2750/100) = $27,50

275 - 27,50 = $247,50

third discount

20 : 100 = x: 247,50

x = (247.50*20)/100 = $49,50

247,50 - 49,50 = $198 (final price)

total discount = 550 - 198 = $352

Answer:

x = 4√7

y = 8√7

Step-by-step explanation:

Reference angle = 60°

Opposite = 4√21

Hypotenuse = y

Adjacent = x

To find x, apply TOA

Tan 60 = Opp/Adj

Tan 60 = (4√21)/x

x * Tan 60 = 4√21

x = (4√21)/Tan 60

x = (4√21)/√3 (tan 60 = √3)

Rationalize

x = (4√21*√3)/√3*√3

x = (4√63)/3

x = (4*3√7)/3

x = 4√7

To find y, apply SOH:

Sin 60 = Opp/Hyp

Sin 60 = (4√21)/y

y*Sin 60 = 4√21

y = 4√21/sin 60

y = (4√21)/(√3/2)

y = ✓(4√21 × 2/√3)

y = (8√21)/√3

y = 8√7

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Lines.

We know that perpendicular lines have a inverse negative slope, such that

m1*m2 = -1

hence, m1 = -1/m2

so the perpendicular line is,

==> y-(5) = 3/2(x-(-6))

==> y+5 = 3/2(x+6)

==> y+5 = 3/2*(x) +9

=> y = 3/2(x) +9-5

==> y = 3/2*(x) + 4

hence the correct option is D.)

Answer:

a

Step-by-step explanation:

times 4

Answer:

C. 35 to 49 Minutes

Step-by-step explanation:

Answer:

A) ∠BEC is one-half of ∠BAC

B) ∠BEC = 60°

C) ∠BDC = 120°

Step-by-step explanation:

C) arc BDC = 120°

arc BEC = 360° - 120° = 240°

∠BDC = 1/2(240°) = 120°

Answer:

The first one is y= 2

The second is y=4

The third one is y=4

The last one is y=2

Step-by-step explanation:

The easiest way to solve these types of problems is to Subsititute.

1) Givens: x=1; y=2x

Substitute

y=2

2) givens: x=2 y=2x

Substitute

y=4

3) Givens: x=-4; y=-2x-4

Substitute

y=4

4) givens: x=-3; y-2x-4

Substitute

y=2

Hope this helped :)

Answer:

1.) y=2

2.) y=4

3.) y=4

4.) y=-2

Step-by-step explanation:

1.) y=2x Multiply 1*2. y=2

2.) do the same thing. 2*2. y=4.

3.) plug in the x value and do order of operations. y= 2(-4)-4. y=4.

4.) plug in your values again. y= -2(-3)-4. y= -2.

hope this helps!!

Answer:

Step-by-step explanation:

When you shift up or down, the function gets added to or subtracted from the expression on the right of the y value.  Put in simpler language, for this question, the equation becomes.

g(x) = f(x) + 13

And the solution is

g(x) = ln(x) - 1 + 13

g(x) = ln(x) + 12

Answer:

Independent events occur when the outcome of one event does not affect the outcome of the second event. Rolling a four has no effect on tossing a head. To find the probability of two independent events, multiply the probability of the first event by the probability of the second event.

Other answer:

A compound event is the combination of two or more simple events (with two or more outcomes). Compound Probabilities (with more than one outcome (desired result) within a trial ): • The probability of rolling an even number less than 5 on a die. (

Answer:

I believe that the answer is C

9514 1404 393

Answer:

  1.05 × 1.05 × 1.05 × 1.05 × 1.05 = 1.2762815625

Step-by-step explanation:

An exponent indicates how many times the base is a factor in the product. That is, 1.05 to the 5th power means ...

  1.05⁵ = 1.05 × 1.05 × 1.05 × 1.05 × 1.05

This multiplication expression is evaluated in the usual way.

  = 1.1025 × 1.05 × 1.05 × 1.05

  = 1.157625 × 1.05 × 1.05

  = 1.21550625 × 1.05

  = 1.2762815625

__

All scientific and graphing calculators have a button for computing the power of a number. On my calculator its label is [tex]\displaystyle \boxed{y^x}[/tex]. The particulars of the function of this button can be found in the manual for your calculator.

For on-line calculators, such as the go.ogle calculator, or the Desmos graphing calculator, the caret (^) is used to signify an exponent. (See the input line in the first attachment for an example.)

Answer:

26

Step-by-step explanation:

125+29=154

180-154=26

Answer:

c

Step-by-step explanation:

1 hour in heavy traffic = 40 miles

3 hours in light traffic = 50*3 = 150 miles

150+40 = 190 miles travelled

Answer:

950 Blue monkeys

Step-by-step explanation:

1000-20= 980-30= 950 blue monkeys

Answer:(0,-2)

Step-by-step explanation:

Answer:

Fixed cost $14 -350 messages

variable $ 0.25 each message i think

Step-by-step explanation:

Answer:

$8977.50

Step-by-step explanation:

Answer:

-3.3

Step-by-step explanation:

I had to take a second look because the image and the description wasn't the same, but after simplifying the value, i got -3.3

Answer:

Step-by-step explanation:

Answer:

1/5 to 1/5

Step-by-step explanation:

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: -5

Explanation:

First -25/j = 5

-25 = 5j

-25/5 = 5j / 5

-5 = j

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

See Explanation

Step-by-step explanation:

Require

All complementary angles

The image is blur and the texts are unreadable. However, the following explanation will assist you

To determine a pair of complementary angles, then both angles must add up to 90.

For instance: 50 and 40; 72 and 18, 10 and 80 etc.

So, all you need to do is select all pairs of angles that add up to 90 in the given image.

Take for instance:

[tex]\angle ABC = 50[/tex] and [tex]\angle BDE = 40[/tex] -- assumed values

This means that, you will select [tex]\angle ABC\ \&\ \angle BDE[/tex] as a pair

Answer:

m*   =   d**

1   =   $80

2   =   $160

3   =   $240

4 = $320

*months

**Dollars ($)

Step-by-step explanation:

If it costs 80 per month then you times 80 by the number of months you want to work out. For example, you want to work out the cost of going to karate class for 3 months, and it costs $80 per month. Then you do $80 × 3 = $240.

Answer:

C

Step-by-step explanation:

Answer: 1.19

Step-by-step explanation:

Answer:

The 3D figure formed is a Cuboid.

Answer:

The figure with 2 congruent, parallel, rectangular bases is a cuboid.

Answer:

8.8 m

Step-by-step explanation:

Area of triangle = [tex]\frac{1}{2} bh[/tex]

38.28 = [tex]\frac{1}{2}[/tex] * b * 8.7

b = 38.28 * 2 / 8.7

b = 8.8 m

Answer:

The initial height of the arrow is 1.5 feet above the ground.

Step-by-step explanation:

Let be the height of the arrow be represented by the function [tex]h(t) = -16\cdot t^{2}+128\cdot t + 1.5[/tex], where [tex]h(t)[/tex] is the current height of the arrow, measured in feet, and [tex]t[/tex], is the time, measured in seconds.

Mathematically speaking, the initial height is the value of [tex]h[/tex] evaluated at [tex]t = 0\,s[/tex]. That is:

[tex]h(0) = -16\cdot (0)^{2}+128\cdot (0) + 1.5[/tex]

[tex]h(0) = 1.5\,ft[/tex]

The initial height of the arrow is 1.5 feet above the ground.

Answer:

EF = 6.6

Step-by-step explanation:

Since ABCD is similar to EFGH, then EH is similar to AD. So, we can solve by first dividing 12 by 2 (EH by AD). The quotient of this is 6. This tells us that quadrilateral EFGH is 6 times larger than quadrilateral ABCD, since they are similar. So, with this and the measurement of AB (which is similar to EF), we can now solve for EF. We simply multiply 1.1 (the measurement of AB) by 6 (how many times larger EFGH is compared to ABCD). The product of this is 6.6, our final answer.