You stand 40 feet from a tree. The angle of elevation from your eyes (5 feet above the ground) to the top of the tree is 47 degrees. How tall is the tree?

Answer:

Original Plant was 1cm and it grew 2.5 cm per week.

Step-by-step explanation:

Using the Slope Formula (y2-y1/x2-x1)we can get how many centimeters it will grow in a week.

18.5cm-8.5cm/7-3

10cm/4

2.5 cm per week.

The original height of the plant were 1 cm and raised at rate of 2.5 cm per week.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

In 3rd week, plant height = 8.5 cm

In seventh week= 18.5 cm

So, the height in-between 4 weeks = 18.5 - 8.5 = 10

then, the height raised in one week = 10/4 = 2.25 cm

Thus, the original height of the plant were 1 cm and raised at rate of 2.5 cm per week.

Learn more about unitary method here:

https://brainly.com/question/22056199

#SPJ2

Answer:

18 8/9

Step-by-step explanation:

make 5 2/3 an improper fraction. Then multiply it by the inverse of the next number. 17/3 x 10/3 = 170/9 or 18 8/9

[tex] = 5 \frac{2}{3} \div \frac{3}{10} [/tex]

[tex] = \frac{(3 \times 5 + 2)}{3} \div \frac{3}{10} [/tex]

[tex] = \frac{17}{3} \div \frac{3}{10} [/tex]

[tex] = \frac{17}{3} \times \frac{10}{3} [/tex]

[tex] = \frac{170}{9} [/tex]

[tex] = 18 \frac{8}{9} [/tex]

[tex]therefore \: , 5\frac{2}{3} \div \frac{3}{10} = 18 \frac{8}{9} [/tex]

Given:

Number of times Jenna feeds her cat = 2

Cat food each time [tex]=\dfrac{3}{4}\text{ can}[/tex]

Number of days = 5

Number of cans she bought = 8

To find:

Did Jenna buy enough cat food.

Solution:

Required food for each time  [tex]=\dfrac{3}{4}\text{ can}[/tex]

Jenna feeds her cat twice a day.

Required food for a day [tex]=2\times \dfrac{3}{4}\text{ can}[/tex]

                          [tex]=\dfrac{3}{2}\text{ can}[/tex]

Required food for 5 days [tex]=5\times \dfrac{3}{2}\text{ can}[/tex]

                           [tex]=\dfrac{15}{2}\text{ can}[/tex]

                           [tex]=7.5\text{ can}[/tex]

Since, 7.5 cans < 8 cans, therefore, Jenna buy enough cat food for her cat.

Answer:

ill help you what is it

Step-by-step explanation:

Answer:

Evan should agree to babysit for less than 18.5 hours (possible answer is 18 hours)

Step-by-step explanation:

let x = amount of hours evan should agree to babysit

10x + 15 < 200

10x < 185

x <18.5

Answer:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

Exact Form: 13/3

Decimal Form:  4.3

Mixed Number Form:4  1/3

Step-by-step explanation:

Hope this helps ;)

The account which is not protected by the FDIC is Checking Account. Thus option 3rd is correct.

The three kinds of saving accounts are regular deposits, money markets, and Certificates of Deposits. There is a difference in all three types in terms of accessibility and amount of interest.

The Checking account is defined as the account which carries the day-to-day transactions of money. Which ensures easy access to money.

Most people generally use a debit card or checks to make purchases.  Thus option 3rd is correct.

Learn more about  Certificate of Deposits here:

brainly.com/question/13803892

#SPJ1

Answer:

A. Safety deposit boxes

Step-by-step explanation:

I did it right

Answer:

in the ordered pair; ( x  = 27/4 , y = 1/4 )

Step-by-step explanation:

Given that:

The system of the equation shown below is:

-2x - 14y = 10

 2x + 2y = 14

We are to use the elimination method to determine the ordered pair.

From the above equation:

-2x - 14y = 10  --- (1)

 2x + 2y = 14   --- (2)

Add both equation 1 and 2 together in order to eliminate x, then we can solve for y first.

-2x - 14y = 10

 2x + 2y = 14      

 0  - 16y = -4        

- 16 y = - 4

divide both sides by - 16, Then:

-16y /-16 = -4/-16

y = 1/4

Since y = 1/4, Then from equation (2), x will be :

2x + 2y = 14

2x + 2(1/4) = 14

2x + 1/2 = 14

2x = 14 - 1/2

2x = 13.5

x = 13.5/2

x = 27/4

Thus, in the ordered pair; ( x  = 27/4 , y = 1/4 )

Answer:

49.5

Step-by-step explanation:

11 times 3 is 33 so if you take 33 times 1.5 it is 49.5

Answer:c

Step-by-step explanation:

The equation of the perpendicular line is [tex]y = -\frac 12x + 1[/tex]

The points are given as:

[tex]F = (4,9)[/tex]

[tex]G = (1,3)[/tex]

Start by calculating the slope (m) of line FG as follows:

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

Substitute values for x's and y's.

So, we have:

[tex]m = \frac{9 -3}{4 - 1}[/tex]

[tex]m = \frac{6}{3}[/tex]

[tex]m =2[/tex]

The equation of the line is said to be perpendicular to line FG.

So, the slope of the line is:

[tex]m_2 = -\frac 1m[/tex]

This is then calculated as:

[tex]m_2 = -\frac 12[/tex]

The line is said to pass through point (2,0).

So, the equation of the line is:

[tex]y = m_2(x - x_1) +y_1[/tex]

This gives

[tex]y = -\frac 12(x - 2) +0[/tex]

Expand

[tex]y = -\frac 12x + 1 +0[/tex]

[tex]y = -\frac 12x + 1[/tex]

Hence, the equation of the line is [tex]y = -\frac 12x + 1[/tex]

Read more about line equations at:

https://brainly.com/question/14323743

Answer:

x = 13 / sin(55)

Step-by-step explanation:

sin(x)= opposite / hypotenuse

sin(55) = 13 / x

rearrange equation for x and solve

Answer:

False

Step-by-step explanation:

Answer:

[tex]64 {a}^{3} {b}^{6} = 16a {b}^{3} \times h[/tex]

[tex] \frac{64 {a}^{3} {b}^{6} }{16a {b}^{3} } = h[/tex]

[tex]4 {a}^{2} {b}^{3} = h[/tex]

Answer:

$0.30

Step-by-step explanation:

If you already spent $5 then you have $6 remaining so you will just divide 6 and 20 and you will get 0.3 so $0.30

Answer:

x = 417.6

287 = 78.2 + .5x

208.8 = .5x

x = 417.6

Hope this helps

Answer:

0.5x + 78.2 = 287

0.5x = 287 - 78.2

0.5x = 208.8

0.5x ÷ 0.5 = 208.8 ÷ 0.5

x = 417.6

Answer:

9 weeks

Step-by-step explanation:

If she took 10 quizzes over the span of 5 weeks, then she took 2 quizzes per week.

This is because:

10 quizzes ÷ 5 weeks = 2 quizzes

We can use this information to solve for 18 quizzes by setting up the equation the same way

If she takes 2 quizzes every week, and ends with 18 finished quizzes, how many total weeks did it take her ?

Variable x = total weeks

18 quizzes ÷ x weeks = 2 quizzes

With division, we can switch x weeks and 2 quizzes

18 quizzes ÷ 2 quizzes = x weeks

18 ÷ 2 = 9

9 weeks

Answer:

m = -2/3

Step-by-step explanation:

m = (y2-y1)/(x2-x1)

m = (-4-4)/(20-8)

m = -8/12

m = -2/3

Answer:

x = ± 4

y = - 2

Step-by-step explanation:

y = 0.5x² - 10 ------------------------(I)

y = -x² + 14   ------------------------(II)

Substitute the y value in equation (II)

    0.5x² - 10  = -x² + 14           {Add x² to both sides}            

0.5x² + x² -10 = 14                  {combine like terms}

       1.5x² - 10 = 14                   {Add 10 to both sides}

               1.5x² = 14 + 10

                1.5x² = 24         {Divide both sides by 1.5}

               1.5x²/1.5 = 24/1.5

                       x² = 16

                      x = ±4

Substitute x = 4 in (I)

y = 0.5 * 4² - 10

 = 0.5*16 - 10

 = 8- 10

y = -2

Substitute x = -4 in (I)

y = 0.5 * (-4)² - 10

 = 0.5*16 - 10

 = 8- 10

y = -2

Answer:

x = 66

Step-by-step explanation:

So the angle with 104 that's the outside measure of the angle but we need to find the inside measure so first.

180 -104= 76 (so 76 is the measure to the inside angle)

Now

76 + 38 + x = 180 (collect like terms)

114 + x = 180 (minus 114 on both sides)

x = 66

Answer:

16

Step-by-step explanation:

red: blue

3        4

There are 12 red shoes

12/3 = 4

Multiply each side by 4

red: blue

3*4    4*4

12        16

There are 16 blue shoes

Answer:

[tex]\begin{cases}a_1 = 2\\\\a_{n} = -4*a_{n-1}\end{cases}[/tex]

============================================

Explanation:

The first line of the answer says "the first term is 2".

The second line says "take any term and multiply by -4 to get the next term".

The [tex]a_n[/tex] represents the nth term while [tex]a_{n-1}[/tex] is the term just before it.

The second line shown above is the same as writing [tex]a_{n+1} = -4*a_n[/tex]

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

The -4 is found by dividing any term over its previous one

-8/2 = -4

32/(-8) = -4

-128/32 = -4

512/(-128) = -4

This shows the common ratio is -4 and this sequence is geometric.

Answer:

x = -29/2

Step-by-step explanation:

Answer:

1/2 a inch was this helpful

Answer:

Step-by-step explanation:

Y=3(x-1)^2 -12

Answer:

Basically the factors of 36 but one number will be negative.

Step-by-step explanation:

negative number x positive number = negative number

-1 x 36 = -36

-2 x 18 = -36

-3 x 12 = -36

-4 x 9 = -36

-6 x 6 = -36

-9 x 4 = -36

-12 x 3 = -36

-18 x 2 = -36

Hope this helps :)

The presence value of a negative sign in the multiplication operation contributes to the final result being -36.

In multiplication, the value -36 can be obtained by multiplying a positive number by a negative number or by multiplying two negative numbers.

For example:

-36 = (-1) × 36

This means that multiplying -1 by 36 gives us -36.

Similarly:

-36 = 6 × (-6)

Here, multiplying 6 by -6 also results in -36.

To know more about value here

https://brainly.com/question/30145972

#SPJ6

Answer:

-4 x + (-2) = 3 x + (-5) 3 x tiles

Hope this Helps!

Answer:

b

Step-by-step explanation:

Took test and ijm smartish lol edge

Answer:  The equation: x=-6

Step-by-step explanation: Use desmos for graphing equations

Answer:

x=3

Step-by-step explanation:

x = number of toppings on berts pizza

Berts pizza has 1x toppings

Ernies pizza has 4x toppings

there are 15 toppings on both pizzas

x + 4x = 15 (combine like terms)-> 5x=15 (divide both sides by 5)-> x=3