Translate: The difference of a number and 45 is 12

Answer:

A

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:

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:

d. 2x³y + 12x²y² + 18xy³

Step-by-step explanation:

Volume = l x b x h

= 2xy × x + 3y × x + 3y

= 2xy × (x + 3y)²

= 2xy × (x² + 6xy + 9y²)

= 2x³y + 12x²y² + 18xy³

Answer:

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

Step-by-step explanation:

9514 1404 393

Answer:

  (d)  3:2

Step-by-step explanation:

Usually, when we say two objects are related by a scale factor, we are talking about the linear dimensions  of the objects. Here, we're concerned with the ratio of diameters. The diameter is a linear dimension of the sphere, so the ratio of diameters is the same as the scale factor:

  3:2

Answer:

4

Step-by-step explanation:

if 4 $ is what it cost for 7yds than under seven yds (where) the red box is needs how much 7 costs

Answer:

a(4) = 15/4

Step-by-step explanation:

The general formula for a geometric series with common ratio r and first term a(1) is

a(n) = a(1)*r^(n - 1)

and so, if a(1) = 30 and r = 1/2, we have

a(n) = 30*(1/2)^(n - 1)

and the fourth term is then:

a(4) = 30*(1/2)^(4 - 1) = 30/8 = 15/4

Answer:

It's C

Step-by-step explanation:

Write f(x)=7x−6f(x)=7x-6 as an equation.

Interchange the variables.

Solve for y.

Answer:

7x when x=2=7×2=14 is your answer

Answer:

?

Step-by-step explanation:

Answer:

to find the perimeter of a polygon you just do "a regular polygon with n n sides and the length of one side s s: P = n × s P = n × s "

Step-by-step explanation:

Answer:

x = 39

Step-by-step explanation:

In the image, in order for DE to be parallel to CB, the scale factor between AE and EB should be the same as between AD and DC. To solve this, you first need to identify these lines:

AE = 12, EB = x - 3

AD = 6, DC = 18

Now, you need to find the scale factor by dividing 18 by 6:

18 ÷ 6 = 3

So the scale factor from AD to DC is 3. This means that the scale factor from AE (12) to EB should also be 3. You can find x by writing and solving an equation:

12 × 3 = x - 3 (given)

36 = x - 3 (simplify)

x = 39 (add 3 to both sides)

So x = 39.

Answer:

I think your answer is a

Step-by-step explanation:

Answer:

f(x)=-3(x-8)(x+2)

Step-by-step explanation:

f(8)=-3(8-8)(8+2)=-3×0×10=0

f(-2)=-3(-2-8)(-2+2)=-3×(-10)×0=0

f(0)=-3×(0+8)×(0+2)=-3×8×2=-48

Answer:

8x-8

Step-by-step explanation:

10x-2x=8x

-3-5=-8

Answer:

x>15

Step-by-step explanation:

it eats the bigger number

Answer: her increase is 1.245 dollars an hour

Step-by-step explanation:

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:

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:

8 have a great day hope this helped

Answer:

Step-by-step explanation:

Answer:

[tex]52-p<43[/tex]

Step-by-step explanation:

There was a total of 52 players but then some left the team. Since we don't know how many left, we use a variable. Left indicates subtraction, so the equation would be 52 - p.

However we still have the last sentence of the information. Since 43 players remain and we don't know how many players left, I put the '<' sign.

Thus, my answer was: [tex]52-p<43[/tex]

Answer:

66

Step-by-step explanation:

Well, 72 - 6 = 66

So, 72 - 66 = 6

y = 66

Hey There! Not sure what pyramid you're talking about But I can help you by explaining how to solve the volume of a pyramid. The Formula of a pyramid is 1/3 x base area x height. So, you can multiply 1/3 or 0.33333333 (Decimal version of 1/3) by the base than multiply it with the Height. Hope this helps! Also, perhaps next time put what pyramid you are talking about!

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 correct answer is "550". A further explanation is given below.

Step-by-step explanation:

The given values are:

Selling price,

= 450

Loss,

= 10%

Profit,

= 10%

As we know,

⇒  [tex]CP=\frac{100}{100-Loss \ percent}\times SP[/tex]

On substituting the values, we get

⇒         [tex]=\frac{100}{100-10}\times 450[/tex]

⇒         [tex]=\frac{100}{90}\times 450[/tex]

⇒         [tex]=500[/tex]

⇒  [tex]Profit=500\times \frac{10}{100}[/tex]

⇒              [tex]=50[/tex]

Now,

Selling price on 10% profit will be:

⇒  [tex]SP=CP+profit[/tex]

On substituting the values, we get

⇒        [tex]=500+50[/tex]

⇒        [tex]=Rs. \ 550[/tex]

Answer:

y= -1/3x-6

Step-by-step explanation:

The slope is rise over run

The y-intercept is the point where the line crosses the y-axis.

If this helped please consider giving brainliest.

Answer: y=.25x-6

Step-by-step explanation: find the slope with [tex]m=\frac{y2-y1}{x2-x1}[/tex] and make it [tex]m=\frac{-6+7}{0-4} =1/4[/tex] or .25

then, convert to y=mx+b form which would be [tex]y=\frac{1}{4}x-6[/tex] or [tex]y=.25x-6[/tex]

b standing for y intercept and m standing for slope.