Put the following equation of a line into slope-intercept form, simplifying all fractions, 6x+4y=-12

Answer:

A

Step-by-step explanation:

Answer:

15lb

Step-by-step explanation:

1lb=453.59

Answer:

50% is 0.5

10% is 0.1

75% is 0.75

Step-by-step explanation:

When multiplying to find the percent of a number, you make it a decimal by dividing it by 100.

The given question can be solved by applying the cosine rule. Therefore, Sailboat A is 12.61 miles away from the starting point. Thus it is the farthest from the starting point.

a. To determine the distance of sailboat A from the stating point.

Applying the cosine rule to the path traveled by sailboat A, we have:

[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2ab Cos θ

   = [tex]5^{2}[/tex] + [tex]8^{2}[/tex] - 2(5*8) Cos (180 - 29)

   = 25 + 64 -80 * -0.8746

[tex]c^{2}[/tex] = 89 + 70

[tex]c^{2}[/tex] = 159

c = [tex]\sqrt{159}[/tex]

  = 12.6095

Thus, the distance of sailboat A from starting point is 12.61 miles.

b. To determine the distance of sailboat B from the stating point.

Applying the cosine rule to the path traveled by sailboat B, we have:

[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2ab Cos θ

   = [tex]8^{2}[/tex] + [tex]5^{2}[/tex] - 2(5*8) Cos (180 - 51)

   = 64 + 25 -80 * -0.6293

[tex]c^{2}[/tex] = 89 + 50.344

   = 139.344

c = [tex]\sqrt{139.344}[/tex]

  = 11.8044

c = 11.80 miles

Thus, the distance of sailboat B from starting point is 11.80 miles.

Comparing the distances of the sailboats from the starting point, sailboat A is farther from the starting point.

A sketch is attached to this answer for better reasoning.

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Use the Pythagorean Theorem  [tex]a^2 + b^2 = c^2[/tex].

Since we have 2 sides we can easily solve for the third.

[tex]c^2 = 10^2 + 14 ^2[/tex]

[tex]c = \sqrt{100 + 196}[/tex][tex]= \sqrt{296}[/tex] ≈[tex]17.205[/tex]

Answer:

389.9 to 1 decimal place

If you need another explanation comment on this one

Step-by-step explanation:

the surface area (base area plus side wall) of a cone is, when we have the radius and the length of the slanted side wall :

SA = pi×r×(r + l)

in our case here

r = half of the diameter = 12/2 = 6 m

l = 13.4 m

so, we have

SA = pi×6×(6 + 13.4) = pi×6×19.4 = 365.6813849... m²

Answer:

176

Step-by-step explanation:

Answer:

[tex]m[/tex]∠STV = 43°

Step-by-step explanation:

It has the corresponding relation with ∠UTV

Answer:

Step-by-step explanation:

Let the number is x.

2/3 of a number is 10:

0.15 times of the number is:

Correct choice is d

Answer:

13.5

Step-by-step explanation:

use soh cah toa

cos 30 × 9√3= n

The equation that models this situation is z = 7.9y + 12.

A linear equation is a function that has a single variable raised to the power of 1.  An example is x = 4y + 2.

Where:

From the equation given, 12 would be the constant, the independent variable would be 7.9 and z would be the dependent variable.

z = 7.9y + 12

Here is the complete question: A barrel of oil was filled at a constant rate of 7.9 gal/min. The barrel had 12 gallons before filling began. write an equation in standard form to model the linear situation.

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Answer:

slope = - 2.25

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 )

Given

9x + 4y = 8 ( subtract 9x from both sides )

4y = - 9x + 8 ( divide through by 4 )

y = - 2.25x+ 2 ← in slope- intercept form

with slope m = - 2.25

Answer:

x=3

Step-by-step explanation:

7x-3=18

7x=18+3

7x=21

x=3

Answer:

125 R10

Step-by-step explanation:

You have to do (1760-10)/14=125

Answer:

Step-by-step explanation:

if a wire of length 2 meters costs $10. find the cost of a wire of length 35cm $1.75

2m = 200 cm

200 : 10 = 35 : x

x = 10 * 35 : 200

x = 1.75

Answer:

(136.60 - 61.60) / 30 = 2.5 hours

Step-by-step explanation:

First, subtract the cost of parts from the total: 136.60 - 61.60 = 75

Now you have the total labor cost. Divide by the hourly rate: 75 / 30 = 2.5

Answer:

If the number your dividing has a decimal, move the decimal point all the way to the right, counting how many spaces you have moved it. Then, move the decimal point in the number you're dividing the same number of places to the right.

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

She originally had 23 because if she gave away 6 bags of chips, she would have 17 left

-

17+6=23

double check answer:

23-6=17

Answer:

the answer is 23

Step-by-step explanation:

17+6=23

so she 23 bags of chips

Answer:

PRACTICE.....ONCE THERE WAS A TIME WHEN I'D USED TO FAIL IN MATHS.....BUT NOW I ALWAYS GET 90+ IN MATHS!!!!!

Answer:

210

Step-by-step explanation:

25% can also be written as .25. If you multiply .25 by 280 you get 70. 70 is 25% of 280. If you take 70 from 280 you get 210.

Answer:

I believe it is 82.

Step-by-step explanation:

This is because a triangle's angles add up to 180. 180-65-33=82

Sorry if this is wrong

Answer:

A=9

b=2.75

POINTS A AND B ARE 9 UNITS APART

Step-by-step explanation:

enjoy hope i get what i was promised :D

Answer:

a and b are 9 units apart

Step-by-step explanation:

Answer:

x=62

Step-by-step explanation:

(x+1)+ x+55=180

-55               -55 (take away the 55)

(x+1)+ x= 125 (take out of parenthesis)

x+1+ x= 125

2x+ 1= 125  (add the two x's together)

-1         -1        (take away the one)

2x= 124  (divide by 2)

     2

x=62

Answer:

It will be 780

Step-by-step explanation:

explanation is that I multiply 65$ by 12

Answer:

-24x - 38y

Step-by-step explanation:

[tex]-4(3x+2y)+6(-2x-5y)~(Given)\\\\-12x-8y+-12x-30y~(Distributive~property)\\\\-24x-38y~(Add~like~terms)[/tex]

Answer:

Step-by-step explanation:

4(3x+2y)+6(−2x−5y)

Use the distributive property to multiply −4 by 3x+2y.

−12x−8y+6(−2x−5y)

Use the distributive property to multiply 6 by −2x−5y.

−12x−8y−12x−30y

Combine −12x and −12x to get −24x

−24x−8y−30y

Combine −8y and −30y to get −38y.

and you get −24x−38y

hope it helps

Answer:

Step-by-step explanation:

Answer: False. 21 Shelves.

Step-by-step explanation:

First, 12 x 31= 372

This indicates that there are 372 books.

Then, 372 ÷ 18= 20.6666666667

Since we have a decimal that is above 4 we round up.

This leaves 21 shelves needed for all the books o fit on a shelf.

Answer:

2x + 20

Step-by-step explanation:

[tex]12 + 4x -2x + 8\\\rule{150}{0.5}\\4x - 2x + 12 + 8\\\\\\\rightarrow\text{4x and -2x are like terms. 12 and 8 are also like terms.}\\\\\\\boxed{2x + 20}[/tex]

Hope this helps.

Answer:

~corresponding angles

~congruent

~7x-10=6x so x=10

~60⁰ and 60⁰