Transform the linear equation to slope-intercept form and select the graph that
represents that function.

Answer:

d = 6.1m

n = 7km

Step-by-step explanation:

To find the variables, use tan

⇒ tan = [tex]\frac{opposite}{adjacent}[/tex]

finding d:

⇒tan 63 = [tex]\frac{d}{3.1}[/tex]

tan of 63 is 1.963

⇒ 1.963 = [tex]\frac{d}{3.1}[/tex]

multiply 3.1 on both sides

⇒ 1.963 x 3.1 = [tex]\frac{d}{3.1}[/tex] x 3.1

⇒ 6.0853 = d

round to the nearest tenth:

⇒ 6.0853 = 6.1

finding n:

⇒ tan 45 = [tex]\frac{7}{n}[/tex]

tan of 45 is 1

⇒ 1 = [tex]\frac{7}{n}[/tex]

multiply 7 on both sides:

⇒ 1 x 7 = [tex]\frac{7}{n}[/tex] x 7

7 = n

Answer:

D = 1.4, N =

Step-by-step explanation:

To get D you need to find the cosine of 63 degrees

Cosine(63) = D / 3.1

Multiply by 3.1 to isolate D :

3.1Cosine(63) = D

Put it into a calculator and you'll get 1.4.

Also, it's a 45-45-90 triangle so the 2 legs will be equal to each other.

Proof: To get N put you have to do the tangent of 45 degrees

Tan(45) = 7 / N

Now you can't to do this you have to multiply the both sides by N

N(tan(45)) = 7

Then divide both sides by (tan(45))

N = 7 / (tan(45)

Put it into the calculator and you'll get

Answer:67

Step-by-step explanation:

Answer:

Step-by-step explanation:                    ..............

Answer:

B

Step-by-step explanation:

Law of Sines:

Sin(a)/opposite side=Sin(b)/opposite

Sin(55)/x=sin(90)/59

Sin(55)/(Sin(90)/59)

sin(90)=1

Sin(55)/(1/59)

59Sin(55)=48.33

Please mark brainliest :)

Answer: The answer is B

Hope this helped love<3

Given:

A line passes through the points (2,-1) and (1,-5).

To find:

The equation of the line.

Solution:

If a line passes through the two points, then the equation of the line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

The line passes through the points (2,-1) and (1,-5). So, the equation of the line is

[tex]y-(-1)=\dfrac{-5-(-1)}{1-2}(x-2)[/tex]

[tex]y+1=\dfrac{-5+1}{-1}(x-2)[/tex]

[tex]y+1=\dfrac{-4}{-1}(x-2)[/tex]

[tex]y+1=4(x-2)[/tex]

Using distributive property, we get

[tex]y+1=4(x)+4(-2)[/tex]

[tex]y+1=4x-8[/tex]

Subtract 1 from both sides.

[tex]y+1-1=4x-8-1[/tex]

[tex]y=4x-9[/tex]

Therefore, the correct option is B.

Answer:

Step-by-step explanation:

bottom left is 13a + 2b

bottom right is 15y - 6

Answer:

1) 13a + 2b

2) 15y² - 6

Step-by-step explanation:

3a + 2(b + 5a)

3a + 2b + 10a

13a + 2b

3y² + 3(4y² - 2)

3y² + 12y² - 6

15y² - 6

Answer:

52.8 feets

Step-by-step explanation:

From the diagram :

The height of tree woulb be :

Height above the ground (at breakpoint) + hypotenus

Hypotenus, h cab be obtained using Pythagoras rule :

h² = opp² + adj²

h² = 39² + 12²

h² = 1665

h = sqrt(1665)

h = 40.804 feets

Height of tree to the nearest tenth ;

40.804 feets + 12 feets

= 52.804 feets

= 52.8 feets

Step-by-step explanation:

principle (p) = $4700

rate (r) = 1.65%

time (t) = 4.5 years

interest = (p × r × t)÷100

= ($4700 × 1.65 × 4.5)÷100

= $348.975

The balance in his account at the end of 4.5 years is $5048.975.

Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.

Simple Interest = (Principal × Rate × Time) / 100

Given;

Enrique deposited $4,700 into an account.

Enrique earned 1.65% annual simple interest on the money in the account.

Time= 4.5

Now,

SI= 4700*1.65*4.5/100

SI=348.975

Total= 4700+348.875

=5048.975

Therefore, the amount after simple interest of 1.65% will be $5048.975.

Learn more about simple interest here;

https://brainly.com/question/1548909

#SPJ6

Answer:

B and D

Step-by-step explanation:

Given:

Total amount invested = $3000

Rate of annul interest on investments are 5% and 8%.

Total interest earned for the year = $210

To find:

The amount invested at each rate.

Solution:

Let the amount invested at 5% be [tex]\$x[/tex] and the amount invested at 8% be [tex]\$(3000-x)[/tex].

Total interest earned for the year = $210

It means. 5% of [tex]x[/tex] + 8% of [tex](3000-x)[/tex] = 210

[tex]x\times \dfrac{5}{100}+(3000-x)\times \dfrac{8}{100}=210[/tex]

Multiply both sides by 100.

[tex]5x+(3000-x)8=21000[/tex]

[tex]5x+24000-8x=21000[/tex]

[tex]-3x=21000-24000[/tex]

[tex]-3x=-3000[/tex]

Divide both sides by -3.

[tex]x=1000[/tex]

Now,

[tex]3000-x=3000-1000[/tex]

[tex]3000-x=2000[/tex]

Therefore, the amount invested at the rate of 5% is $1000 and the amount invested at the rate of 8% is $2000.

Answer:

Answers are down below!! ;)

Step-by-step explanation:

1. 7  :  4

  7 or 4

  7 to 4  

2. You will need 20 cups of milk.

ratio = 35:20

explanation: 35/7 = 5 and 4 x 5 =20

Bar diagram: (sorry it looks messy)

cups of flour l____________________________________________

cups of milk  l_____________________

                     _________________________________________________

                     2   4  6  8  10 12  14  16  18  20  22  24  26  28  30  32  34  36  38..

-----------------------------------------------------------

Hope this helps!! ;)

Answer:

z = [tex]\frac{979}{5}[/tex] or z = 195.8

y=-30

a = 5

b = -7

x = 64

Step-by-step explanation:

Answer:

<DFA

Step-by-step explanation:

When combined (<DFA and <DFE), they'll form 90 degrees which will make them complementary

Answer:

Two angles are called complementary if their measures add to 90 degrees, and called supplementary if their measures add to 180 degrees. If two angles are complementary then they will add up to be 90, or inversely, if two angles add up to be 90, then they are complementary. If you know one acute angle, you can calculate its complementary angle by subtracting 90 and the angle. When the sum of two angles is equal to 90 degrees, they are called complementary angles. For example, 30 degrees and 60 degrees are complementary angles.

The complement of −135° is the angle that when added to −135° forms a right angle (90° ).

Step-by-step explanation:

Answer:

(1,6) , (2,7) , (3,8) , (4,9) , (5,10)

Step-by-step explanation:

Given equation: y = x + 5

when x = 1, y = 1 + 5 = 6

(1,6)

when x = 2, y = 7

(2,7)

when x = 3 , y = 8

(3,8)

when x = 4 , y = 9

(4,9)

when x = 5 , y = 10

(5,10)

Answer:

54

Step-by-step explanation:

54

they took my first answer off, so i came back. but honestly thank you for the points. have an amazing day!

Answer: 7693cm

Step-by-step explanation:

The volume of a cone is given as:

= 1/3πr²h

where π = 3.14

radius = 3.5cm

height = 12

Volume = 1/3πr²h

= 1/3 × 3.14 × 3.5² × 12

= 153.86cm³

Therefore, the amount of water that is needed to fill 50 cups will be:

= 153.86 × 50

= 7693cm

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Answer:

It would be B: $39.00!

Step-by-step explanation:

Sry can't explain now.

But the answer is correct.

$39.00

Answer:

= 10

Hope this helps if so don't hesitate to 'Thanks' and/or 'brainliest' this answer!

Answer: 152 I think

Step-by-step explanation:

Answer:

3x^2+4x+1

Step-by-step explanation:

Given the polynomial function 4x + 3x^2 - 1

Rearranging in descending order means that we are to arrange the degree power from the highest to the lowest.

The term with the highest degree is 3x^2

Followed by 4x

Then the constant 1

Adding according to the descending powers

The polynomial in descending order will be 3x^2+4x+1

Answer:

It’s A!

Step-by-step explanation:

took the test :)

The answer is 21.

Hope this helps. Have a nice day.

Answer:

x = 4

b = 7

n = 40

I hope this helps!!!

Step-by-step explanation:

1) 12x-17 = 6x+7

        +17       +17

*do this because you want to get all of the variables to one side and all of the constants to one side*

12x = 6x + 24

-6x    -6x

6x = 24

*divide by 6 to get x alone, so you 24/6 = 4*

x = 4

2) -8b+1 = -5(b+4)

*must multiply -5 by everything in the parenthesises*

-8b+1 = -5b-20

     -1           -1

-8b= -5b-21

+5b  +5b

-3b = -21

b = 7

3) 350+10(n-7) = 630+2(n-15)

350+10n-70 = 630+2n-30

*combine like terms on both sides of the equation*

280+10n = 600+2n

-280           -280

10n = 320+2n

-2n            -2n

8n = 320

n = 40

Answer:

0.3 miles

Step-by-step explanation:

Using trigonometry : d

Tanθ = opposite / Adjacent

Tan 11 = d1 / 2

2tan11 = d1

0.3887606 miles  = d1

Tanθ = opposite / Adjacent

Tan 11 = d2 / 2

2tan18 = d2

0.6498393 miles  = d2

d2 - d1 = Distance flown within the minute

0.6498393 - 0.3887606 miles

= 0.2610787 miles

= 0.3 miles

Answer:

B

Step-by-step explanation: