The drawing at the right shows a person,
5 feet tall, casting a shadow 3 feet long.
The tree is casting a shadow 15 feet long.
How tall is the tree?

Step-by-step explanation:

please see it my steps to work this problem

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Explanation:

The multiplicative inverse of x is 1/x, and vice versa. This is true as long as x is not 0.

The multiplicative inverse of 1/5 is 5. These two values multiply to 1. This is true of any multiplicative inverse pairing.

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What we need to do is multiply 5 with (2x-1/5)

Use the distributive property to get the following

5*(2x-1/5)

5*(2x) - 5*(1/5)

10x - 5/5

10x - 1

I multiplied the outer 5 by each term inside (the 2x and 1/5) and simplified.

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Work Shown:

A = P*(1+r/n)^(n*t)

A = 8200*(1+0.02/1)^(1*7)

A = 9419.2224747241

A = 9419.22

Note: I assumed the bank is using annual compounding. The instructions didn't mention it, so that's why I went with n = 1. If your teacher or textbook mention otherwise, say monthly compounding, then you'll change n to n = 12. I would ask for clarification.

Answer:

B

Step-by-step explanation:

Answer:

1. Slope: 2     y-intercept: (0,−10)

2. Slope: 3  y-intercept: (0,12)

Step-by-step explanation:

G and H are 5 units apart.

G is at (-3, -4), and H is at (2, -4)

-3 and 2 are 5 units apart, -3+5=2. 2-5=-3

Find the scale factor: StartFraction enlarged over original EndFraction = StartFraction 6 over 3 EndFraction = 2

Calculate the perimeter of the original figure.

Multiply the perimeter of the original figure by the scale factor.

Step-by-step explanation:

A, C, D

The steps which could be used to find the perimeter are Find the scale factor: enlarged over original = 6 over 3 = 2, Calculate the perimeter of the original figure and Multiply the perimeter of the original figure by the scale factor.

Scale factor is the ratio of the dimension of the given original object and the dimension of the new object from the original.

Given that,

A smaller triangle has side lengths 4, 5, 3. A larger triangle has side lengths 8, 10, 6.

First find the scale factor.

Scale factor of enlarged over original = 8/4 = 10/5 = 6/3 = 2

Now, find the perimeter of the original figure.

Perimeter of the original figure = 4 + 5 + 3 = 12

Now.

Perimeter of enlarged figure = Scale factor × Perimeter of original figure

= 2 × 12

= 24

Hence the correct steps are first, third and last step.

Learn  more about Scale Factor here :

https://brainly.com/question/29929067

#SPJ3

Answer:

Expression in mathematics means word problem.

Answer:

c+35/100c

Step-by-step explanation:

The coefficient(s) of the expression is/are 7, 1

Use a comma to separate answers as needed.)

The constant(s) of the expression is/are 8

(Use a comma to separate answers as needed.)

What error might Jake have made?

OD. Jake did not include the coefficient 1.

Click to select your answer's

Answer: 192 cubic inches

Step-by-step explanation:

Answer:

105 minutes= 1 hour and 45 minutes

Answer:

1 hour and 45 minutes

or

1.75 hours

Answer:

y = dependent variable

k = constant of proportionality or constant rate of change

x = independent variable

Step-by-step explanation:

The equation, [tex] y = mx [/tex] represents a direct variation showing a proportional relationship between variable y and variable x.

y represents the dependent variable

k represents the constant of proportionality or constant rate of change

x represents the independent variable

Answer: 35%

Step-by-step explanation:

Answer:

the solution to the system is (5,3)

Step-by-step explanation:

the first statement is True:    2(10) - 5(5) = -5

                                                20 - 25 = -5

                                                  -5 = -5

the second statement if False:    10 + 2(5) ≠ 11

the third statement is True

the last statement is False

Answer:

The cost of a gym membership would be 109

Step-by-step explanation:

2009-1995=14

thats how many years apart from each other

so its been 14 years $6 for each year so 14x6=84

so the regular price was $25 and went up 84 dollars last 14 years.

25+84=109 so the price of gym membership would be $109

Answer:

x = 9

m<b = 54

m<e = 54

Step-by-step explanation:

Answer:

Multiple choice?

Step-by-step explanation:

Answer: The slope is -5/7

Step-by-step explanation:

Slope is rise/run

The rise is -5, and the run is 7

This is why the slope is -5/7

Answer:

The rise is 6 and the run is 7 6/7

Answer:

[tex]C=32(3.14)=100.48\text{ meters}[/tex]

Step-by-step explanation:

We know that the circle has a diameter of 32 meters.

And we want to find its circumference.

The circumference of a circle is given by the formula:

[tex]C=\pi d[/tex]

Where d is the diameter.

So, we will substitute 32 for d and we will use 3.14 for π. Hence, our circumference will be:

[tex]C=32(3.14)=100.48\text{ meters}[/tex]

Answer:

100.48 m

Step-by-step explanation:

C=2(3.14)r

C=2(3.14)(16)

C= 100.48 m

Answer:

She has 3/4 and each batch requires 1/8. 3/4 can be turned into 6/8 she can make 6 batches.

Answer:

4.83 * 10^9

Step-by-step explanation:

Here, we want to express the given number in scientific notation

What we have to do here is to place the decimal number at the back of the first non zero number

The first non zero number is 4

So

let us count the number of digits after the first non zero number

That will be 9

So we make this the power of 10

And our answer will be;

4.83 *10^9

Answer:

when x = 39.25, y = 2.75

when x = 2.75, x = 39.25

Step-by-step explanation:

use substitution method

x+y = 42 ------ (1)

xy = 108 ------ (2)

from (1) ,

x+y = 42

y = 42-x ------ (3)

substitute (3) into (2)

xy = 108

x( 42-x ) = 108

42x - x² = 108

-x² + 42x - 108 = 0

x² - 42x + 108 = 0

use the following formula to solve the value of x:

[tex]i) \: x = \frac{ - b + \sqrt{ {b}^{2} - 4ac } }{2a} \: \\ ii) \: x = \frac{ - b - \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]

a = 1

b = -42

c = 108

[tex]i) \: x = \frac{ - b + \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]

[tex]x = \frac{ - ( - 42) + \sqrt{( - 42) {}^{2} - 4(1)(108)} }{2(1)} [/tex]

[tex]x = \frac{42 + \sqrt{1764 - 432} }{2} [/tex]

[tex]x = \frac{42 + \sqrt{1332} }{2} [/tex]

[tex]x = \frac{42 + 6 \sqrt{37} }{2} [/tex]

[tex]x = 21 + 3 \sqrt{37} [/tex]

[tex]x = 39.25[/tex]

[tex]ii) \: x \: \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]

[tex]x = \frac{ - ( - 42) - \sqrt{( - 42) {}^{2} - 4(1)(108} }{2(1)} [/tex]

[tex]x = \frac{42 - \sqrt{1764 - 432} }{2} [/tex]

[tex]x = \frac{42 - \sqrt{1332} }{2} [/tex]

[tex]x = \frac{42 - 6 \sqrt{37} }{2} [/tex]

[tex]x = 21 - 3 \sqrt{37} [/tex]

[tex]x = 2.75[/tex]

the 2 values of x are x = 39.25 and x = 2.75

substitute x = 39.25 into (3)

y = 42-x

y = 42-39.25

y = 2.75

substitute x = 2.75 into (3)

y = 42-x

y = 42-2.75

y = 39.25

when x = 39.25, y = 2.75

when x = 2.75, x = 39.25

Answer:

Shell is under Red color cup

Step-by-step explanation:

We have 3 cups and 3 objects which they cover under them.

Taking into consideration (4) and (2) as they both describe the position related to bean

(4) Gray cup  →Bean (right)     (2) coin ← bean (left)  

that means coin can either under Gray cup or left to gray cup.

Now

(1) Red ← White (left)  (3) Shell → Gray  (right)

This means if we consider coin to be left of gray cup then we can't place shell to the left of gray cup as required in (3)

so coin will be under gray cup

on forming the Color of cups and the coin below them

C1             C2         C3

Red       Gray      White

 __           __          __

Shell        coin        Bean

So Shell is under Red color cup

Answer:

there are 2 in each vase

Answer:

2 flowers per vase

Answer:

use the formula y2 - y1 / x2 - x1

Answer:

y2-y1 /x2-x1

Step-by-step explanation:

slope is the same as gradient

follow this principle (x,y)

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

Answer:

x=-5

Step-by-step explanation:

If f(x)=0, then x=-5

Drawing the line y=0 shows this visually

Answer:

x = 9.

Step-by-step explanation:

If you meant (x + 13) = 24, then we first must subtract 24 by 13.

24 - 13 = 9

Now, check your work by replacing the "x" with 9.

(9+ 13) = 24

24 = 24 <----- This is a true statement.

Therefore, x = 9.

Hope this helps! :D

Answer:

The answer is 24in a am very sure

Step-by-step explanation:

Answer: The missing side is 24 inches

Step-by-step explanation:

Since it is a right angle that  means that we can use the Pythagorean Theorem formula to solve for   the B.

The formula says that  a^2 + b^2 = c^2   Since we know  a is 18 and c is 30 we will input the value into the formula to solve for b.

18^2 + b^2 = 30^2

324 + b^2 = 900

-324               -324

  b^2 = 576

  b = [tex]\sqrt{576}[/tex]  

  b  = 24

Answer:

7

40

the answer is 7 fortyths

working out

3 quarters - 3 eighths = 3 eighths*7 nineths= 7 twentyforths

5 sixths +1 third + 1 half = 10 sixths

7 twentyforths divided by 10 sixths= 7 fortyths