Bob makes a drawing of the flowers he wants to plant that has a scale of 5 cm for each meter. If the flower planting will be 15 m long, how long is the drawing of the planting?

Answer:

The height of the pole is 33.89 feet.

Step-by-step explanation:

Since the length of the cables are 35 feet and 40 feet respectively, the 40 feet cable being farthest from the pole. We know that they are 30 feet apart. This forms a scalene triangle in which the angle between the 40 feet cable and the distance apart of the cables ( or ground) is the angle of elevation of the pole from the 40 feet cable.

So, we use the cosine rule to find this angle of elevation. So,

b² = a² + c² - 2accosB where a = 40 feet , b = 35 feet, c = 30 feet and B = angle of elevation of top of pole from 40 feet cable.

cosB = (a² + c² - b²)/2ac

cosB = (40² + 30² - 35²)/(2 × 40 × 30)

cosB = (1600 + 900 - 1225)/2400

cosB = 1275/2400

cosB = 0.53125

B = cos⁻¹(0.53125)

B = 57.9°

Since we now have the angle of elevation of the top of the pole from the 40 feet cable, we now find the height h of the pole from

sinB = h/40 since the 40 feet cable, the ground and the pole form a right-angled triangle.

h = 40sinB

h = 40sin57.9°

h = 40 × 0.8472

h = 33.89 feet

So, the height of the pole is 33.89 feet.

Answer:

See below

Step-by-step explanation:

[tex]0.000 0643 = 6.43 \cdot 10^{-5}[/tex]

[tex]0.000 000 205 = 2.05 \cdot 10^{-7}[/tex]

[tex]0.000 000 005 009 = 5.009 \cdot 10^{-9}[/tex]

Answer:

6

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

[tex]2(x+5)-3 =15[/tex]

Using the distributive property in the LHS we get

[tex]2x+10-3 =15[/tex]

[tex]2x+7=15[/tex]

Now add -7 both sides. So we have the subtraction property of equality.

[tex]2x+7+(-7)=15+(-7) \text{ This is what I meant for add}[/tex]  

[tex]2x+7-7=15-7[/tex]

[tex]2x=8[/tex]

Now divide both sides by 2. So we have the division property of equality

[tex]\dfrac{2x}{2} =\dfrac{8}{2}[/tex]

[tex]x=4[/tex]

Answer:

336

Step-by-step explanation:

Answer:

In geometry, a translation is the shifting of a figure from one place to another without rotating, reflecting or changing its size. This is done by moving the vertices of the figure the prescribed number of spaces on a coordinate plane and then drawing the new figure.

Answer:55.2

Step-by-step explanation: first, find the unit price which is 2.4

Then 2.4 • 23 because you are buying 23 pumpkins and then you would get 55.2 but since you are talking about money, it would be $55.20

Answer:C is supposed to be in eight and six/ 8 and 10 should be 40

Step-by-step explanation:

Answer:

1=8, 2=24, 3=40

Step-by-step explanation:

Answer: x>55/9

Step-by-step explanation: Divide both sides by  9  

     x-(55/9)  > 0

Add  55/9  to both sides

            x > 55/9

Inequality plot for

        9.000 x  - 55.000  >  0

Answer:

30 ft

Step-by-step explanation:

7.5 + 12.5 + 10 = 30 ft

Answer:

No solution.

Step-by-step explanation:

Write the expression, combine like terms, and distribute.

-1+30x+24=6(5x+4)

30x+23=30x+24

Get rid of the variable first because they're both 30x (it makes it a lot easier).

30x+23=30x+24

-30x      -30x

23=24

23 is not equal to 24. When this happens, it means there is no solution, and that's just the answer.

Hope this helps you out!! Have a great day C:

Answer:

y = - [tex]\frac{1}{3}[/tex] x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m= [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 6, 7) and (x₂, y₂ ) = (- 3, 6)

m = [tex]\frac{6-7}{-3+6}[/tex] = [tex]\frac{-1}{3}[/tex] = - [tex]\frac{1}{3}[/tex] , thus

y = - [tex]\frac{1}{3}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 3, 6 ), then

6 = 1 + c ⇒ c = 6 - 1 = 5

y = - [tex]\frac{1}{3}[/tex] x + 5 ← equation of line

Answer:

B

Step-by-step explanation:

Based on this persons answer this is what it it

Answer:

2 1/7

Step-by-step explanation:

Answer:

2 1/7, is 15/7(improper fraction) as a mixed fraction, and

1 8/7 is an improper mixed fraction equivilent to 2 1/7.

Step-by-step explanation:

15/7 = 7/7 + 7/7 + 1/7 = 1 + 1 + 1/7 = 2 1/7

1 8/7 = 1 + 8/7 = 1 +7/7 + 1/7 = 1 + 1 + 1/7 = 2 1/7

Answer:

A relation

Step-by-step explanation:

Answer:

A relation is a set of ordered pairs. The set of all first components of the ordered pairs is called the domain of the relation and the set of all second components of the ordered pairs is called the range of the relation.

Step-by-step explanation:

Answer:

1 is a competition, 2 is protection, 5 is division, and 8 is solution.

Step-by-step explanation:

hope these are all correct and you ace this!

Answer:

Finite

Step-by-step explanation:

When the sequence goes on forever it is called an infinite sequence,

otherwise it is a finite sequence

Examples:

{1, 2, 3, 4, ...} is a very simple sequence (and it is an infinite sequence)

{20, 25, 30, 35, ...} is also an infinite sequence

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

These type of problems could be a little tricky so I'll explain this one as I go.

So the first step I would do is to multiply the 8 in both sides so you end up with...[tex]x+11=-24[/tex]

After that it should be easier and you'll go at it normally by subtracting the 11 in both sides and that should leave you with the answer of [tex]x=-35[/tex]

Answer:

X= -5x hope this helped :)

9514 1404 393

Answer:

  { (-441/23, 433/23) }

Step-by-step explanation:

The "cross-multiplication method" is usually shown as follows:

1. rewrite the equations in general form: ax +by +c = 0

2. write the coefficients in two row in the order b, c, a, b.

3. form three products, each being the number in the first row times the number to its right in the second row. That is, b1·c2, c1·a2, a1·b2

4. form three more products, each being the number in the second row times the number to its right in the first row. That is, b2·c1, c2·a1, a2·b1

5. form three differences, subtracting the products of step 4 from those of step 3. Call these differences d1, d2, d3. (For example, d1=b1c2-b2c1.)

6. The values of x and y satisfy the equations ...

  x/d1 = y/d2 = 1/d3

which is to say, ...

  x = d1/d3, and y = d2/d3

_____

For your equations, we can rewrite them as ...

Then our rows of coefficients are ...

  [tex]\begin{array}{cccc}12&-15&11&12\\11&23&12&11\end{array}[/tex]

And our differences are ...

  d1 = 12(23) -11(-15) = 441

  d2 = -15(12) -23(11) = -433

  d3 = 11(11) -12(12) = -23

The relations between x and y are ...

  x/441 = y/-433 = 1/-23

so, x = -441/23 and y = 433/23

The solution set is one ordered pair: { (-441/23, 433/23) }.

_____

Additional comments

The final solution is identical to the formula arrived at using Cramer's Rule. Calling this the "cross-multiplication method" avoids any discussion of matrices and determinants.

Answer:

The coordinates of ΔA''B''C'' are;

A''(-1, -3), B''(-2, -6), C''(1 , -7)

Step-by-step explanation:

A glide reflection involves the reflection of the preimage over a given line, followed by the translation of the resulting image along the given line

Given that the coordinates of the triangle ΔA'B'C' are;

A'(-4, -5), B'(-5, -2), C'(-2, -1), we have by reflection across the line y = -4

A''(-4, -4 + 1) = A''(-4, -3)

B''(-5, -4 - 2) = B''(-5, -6)

C''(-2, -4-3) = C''(-2, -7)

Translation of A''B''C'' by T 3, 0, we have;

A''(-4, -3)  → T₃, ₀ → A''(-4 + 3, -3) = A''(-1, -3)

B''(-5, -6)  → T₃, ₀ → B''(-5 + 3, -6) = B''(-2, -6)

C''(-2, -7) → T₃, ₀ → C''(-2 + 3, -7) = C''(1 , -7)

The coordinates of ΔA''B''C'' are therefore;

A''(-1, -3), B''(-2, -6), C''(1 , -7).

Answer:

A″(−1, −3), B″(−2, −6), C″(1, −7)

option A

Answer:

A

Step-by-step explanation:

how I solved it was 4x3=12

Answer:

A.

Step-by-step explanation:

That is  1/4 * 1/3 = 1/12,

Answer:

$9,635.00

Step-by-step explanation:

41 bracelets×$235.00=$9,635.00

First can I just say, those are some expensive jewelry!

l

Step-by-step explanation:

The amount of bracelets that she sold last month, (Saturday + Sunday) is 41. So last month she sold 41 bracelets.  

Each bracelet cost $235 so we have to multiply to amount of money one bracelet cost, times how many she sold.

$235 x 41 = $9635

She made $9635 by selling bracelets last month.

Answer:

A

Step-by-step explanation:

Simplify and subtract.

Answer:

Step-by-step explanation:

4(0.5x+2.5y-0.7x-1.3y+4)

2x+10y-2.8x-5.2y+16

-0.8x+4.8y+16

Answer:

Step-by-step explanation:

The answer would be, 25.17.

You need to multiple the total by 0.15 . Then add the answer to the total.

Answer:

$25.17

Step-by-step explanation:

$21.89 multiplied by 0.15 equals $3.28.

You then add the original bill to $3.28 which equals $25.17 for the total cost.