Its all in the picture-

Answer:

(1,5)

Step-by-step explanation:

You use the midpoint formula to solve this problem

The midpoint formula:

To solve for x: (x1+x2)÷2

To solve for y: (y1+y2)÷2

Answer:

i. a = -6 ii. b = 12 iii. 100 iv. 26.6°

Step-by-step explanation:

Since the weight of the object is 20 N and directed downwards, its vector is -20j. Now, since the particle is in suspension, AP + BP = -20j

So, since AP = ai + 8j and BP = 6i + bj,

AP + BP = -20j

ai + 8j  + 6i + bj = -20j

ai + 6i + 8j + bj = -20j

(a + 6)i + (8 + b)j = -20j

(a + 6)i + (8 + b)j = 0i - 20j

equating the components on both sids,

a + 6 = 0 and 8 + b = 20

a = -6 and b = 20 - 8 = 12

i. The value of a is -6

ii. The value of b is 12

iii. The magnitude of the tension in string AP is?

since AP = ai + 8j  = -6i + 8j

magnitude of AP = √[-6² + 8²] = √[36 + 64] = √100 = 10

iv. The angle that string BP makes with the vertical is?

Since BP = 6i + bj = 6i + 12j, the angle it makes with the horizontal is Ф = tan⁻¹(12/6) = tan⁻¹(2) = 63.44°.

Thus, the angle it makes with the vertical is thus 90° - 63.44° = 26.56° (complementary angles) ≅ 26.6° to 3 s.f

1) The values of a and b of the given vectors are respectively; -6 and 12

2) The magnitude of the tension in string AP is; 10

3) The angle that string BP makes with the vertical is; 26.6°

We are told that the weight of the particle P is 20 N. Since the particle is suspended by two strings, then its' direction is downwards and as such its vector is -20j.

By equilibrium;

AP + BP = -20j

1) We are given the tension vectors;

AP = ai + 8j and BP = 6i + bj,

Thus;

ai + 8j  + 6i + bj = -20j

(ai + 6i) + (8j + bj) = -20j

(a + 6)i + (8 + b)j = -20j

(a + 6)i + (8 + b)j = 0i - 20j

Equating the components of both sides gives;

a + 6 = 0 and 8 + b = 20

Solving gives;

a = -6 and b = 20 - 8 = 12

Thus, the values of a and b are -6 and 12

2) The magnitude of the tension in string AP is gotten from resolution of the tension vector AP;

AP = ai + 8j  = -6i + 8j

Thus, magnitude of AP = √(-6² + 8²) = √(36 + 64) = √100 = 10

3) The angle that string BP makes with the vertical is gotten from;

BP = 6i + bj = 6i + 12j

Thus, the angle it makes with the horizontal;

θ = tan⁻¹(12/6) = tan⁻¹(2) = 63.44°.

Angle it makes with the vertical = 90° - 63.44° = 26.56° ≈ 26.6°

Read more about Magnitude of Tension at; https://brainly.com/question/13370981

Answer:

10 ÷ 16

Step-by-step explanation:

The computation is shown below

Given that

Paul required to buy 5 by 8 pound of peanuts

And, the scale at the store is in sixteenths

So, the measure that should be equivalent is

Here the denominator should be 16 so it should be multiplied by 2

= 5 ÷ 8 × 2 ÷ 2

= 10 ÷ 16

Answer:

506π ft^2

Step-by-step explanation:

here's your solution

=> height of cylinder = 12 ft

=> radius of cylinder = 11 ft

=> surface area of cylinder = 2πr(h+r)

=> SA = 2*11(12+11)*π

=> SA = 22*23π

=> SA = 506π ft^2

hope it helps

Answer:

16

Step-by-step explanation:

same explanation as last time accept its 3/4 into 4/3

Answer:

there are multiple 0's in the same area, and multiple 2's.

Step-by-step explanation:

Answer:

Width is 5

Step-by-step explanation:

Set up an equation

12x=60

divided both sides by 12

answer is 5

The width is 5

to check your answer multiply it by the length

12*5=60

Check Check

Answer:

60÷12=5 so the width is 5 if the length is 12.

Answer:

−7   1/2

Step-by-step explanation:

     1

-7  2

Answer: -0.83333333333

Step-by-step explanation:

Answer:

36 (Answer D)

Step-by-step explanation:

There are 4 possible choices of main dish, 3 of sides and 3 of drinks.

All choices are independent, so this is independent probability.

The number of combinations is 4*3*3, or 36 (Answer D)

Answer:

Step-by-step explanation:

Rectangle

Answer:

(x - 2) (x - 4)

Step-by-step explanation:

-2 & -4 are a factor of -8 and a sum of -6

-2 x -4 = -8

-2 + -4 = -6

Therefore the answer is (x - 2) (x - 4)

Answer:

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Proportional relationship:

Using point on the graph (1, 0.5) to find the value of k:

Answer:

y=5/4x+10

Have a nice day.

Answer:

5/4x + 10

Step-by-step explanation:

If it's parallel, the slope will remain the same.

To find the y-intercept, you have to plug in the coordinates into the equation which is, y = 5/4x + b.

y = 5/4x + b

0 = 5/4 (-8) + b

0 = -10 + b

10 = b

The equation is 5/4x + 10.

Answer: $36 is discounted from the regular price

Step-by-step explanation:

First, we need to take our given numbers

Originally $90

On sale for %40

Let's now use this equation

90(n)

n will equal 0.40 due to it being %40 off

90(0.40)

$36

Answer:

the account won't yield the same amount despite the same principal amount.

Step-by-step explanation:

To test this assertion :

Let principal = $1000

t = 1 year

Compound interest formula :

A = P(1 + r/n)^nt

P = principal ; r = rate, n = number of times interest is compounded per period ; t = time

Account A :

Rate = 4% annually

A = 1000(1 + 0.04/1)^1

A = 1000 * 1.04 = $1040

Account B:

Rate = 2% compounded semianually ; n = 12 /6 = 2

A = 1000(1 + 0.02/2)^1*2

A = 1000(1.01)^2

A = 1000 * 1.0201

A = $1020.1

From the result, the account won't yield the same amount despite the same principal amount.

Answer: Question 1 is m=3

Question 2 is, 6 is the intercept for the y axis. And (-4,7) is the other intercept.

Step-by-step explanation:

there are websites such as

mathpapa

algebra tiger - favorite

and many more that will give you the CORRECT answer and will give u a step by step explanation on how it was answered

This might help

total surface area Stot = 42.5 ft2

lateral surface area Slat = 30 ft2

top surface area Stop = 6.25 ft2

bottom surface area Sbot = 6.25 ft2

but im thinking they would need 113.7 ft of rapping paper i many be totally wrong tho

Answer:

42.5

Step-by-step explanation:

To find how many square inches of wrapping paper he will need you need to find the area of each face of the box and add them all together.

Top and bottom face:

First, 2.5 times 2.5 equals 6.25. Multiply 6.25 times 2 since there is one for the top and bottom to get 12.5

Left, Right, front, and back face:

Multiply 2.5 by 3 to get 7.5, and multiply 7.5 by 4 to get 30 since there are four faces with the same area.

Final Step:

Now, just add all the areas of the faces calculated to recieve the answer of 42.5

30 + 12.5 = 42.5

Answer:

90.25π

Step-by-step explanation:

The circumference of circle is 2πr, or in other words the diameter times π.

The area of a circle is πr^2.

19π is the circumference of this circle.

So, 19 is the diameter, and 9.5 the radius.

The area if (9.5^2)π.

9.5^2=90.25

So, in terms of π, the area of the circle is 90.25π.

Answer:

J) is multiplied by 4

Step-by-step explanation:

Answer:

N58°W

Step-by-step explanation:

The trigonometry diagram has been attached below :

To obtain the angle θ ;

Tan θ = opposite / Adjacent

Tan θ = 40 / 25

Tan θ = 1.6

θ = tan^-1(1.6)

θ = 57.99°

Henve, bearing directly to Port is :

N58°W

Answer:

2:3

2:5

Step-by-step explanation:

10:15

divide both sides by 5 or gcf

2:3

16:40

divide both sides by 8 or gcf

2:5

Answer:

The answer is 1/3

Step-by-step explanation:

Yoh would get this because an dice has six sides. If two numbers are being offered, that's 2/6 , or 1/3 simplified.

Answer:

C: Translation and dilation.

Step-by-step explanation:

C: Translation and dilation.

The translation moves it to the same space while the dilation retains the shape but makes it larger/smaller.

the answer to your question is C

Answer:

0.01

Step-by-step explanation:

0.01×100=1

hope this helps

Answer:

0.01

Step-by-step explanation:

0.01 is the same as 1/100, and 1% is also the same as 1/100