A man is 5 feet 9 inches tall. To find the height of a tree, the shadow of the man and the shadow of
the tree were measured. The
length of the man's shadow was 3 feet 6 inches. The length of the tree's shadow was 10 feet
6 inches. What is the height of
the tree?

Answer:

equation: 41+4x=45.80

answer: x=1.20

Step-by-step explanation:

The equation is $45.80 = $41 + ($4 × x) which can be used to determine the number of gigabytes of data Nathaniel can use while staying within his budget. And Nathaniel can use up to 1.2 gigabytes of data while staying within his budget of $45.80 per month.

Let's denote the number of gigabytes of data Nathaniel can use as x.

Then the equation representing his cell phone bill can be set up as:

Total cost = Flat cost + (Cost per gigabyte × Number of gigabytes)

$45.80 = $41 + ($4 × x)

Now, we can solve for x:

$4 × x = $45.80 - $41

$4 × x = $4.80

x = $4.80 / $4

x = 1.2

So, Nathaniel can use up to 1.2 gigabytes of data while staying within his budget of $45.80 per month.

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Answer:

y = 3x - 7

Step-by-step explanation:

Slope - Intercept Form :  [tex]y = mx+b[/tex]

[tex]m[/tex] = slope

[tex]b[/tex] = y - intercept

Slope =  [tex]\frac{rise}{run}[/tex]

          = [tex]\frac3{1}[/tex]

          = [tex]3[/tex]

So far:   [tex]y = 3x + b[/tex]

Plug in a point from the graph, ex. (3,2)

[tex]2 = 3(3) + b\\\\2 = 9 + b\\\\b = -7[/tex]

Equation :   [tex]y = 3x - 7[/tex]

-Chetan K

Answer:

x = 5

Step-by-step explanation:

Δ EAB and Δ EDC are similar by the AA postulate , so the ratio of corresponding sides are in proportion , that is

[tex]\frac{AB}{DC}[/tex] = [tex]\frac{EA}{ED}[/tex] , substitute values

[tex]\frac{10}{4}[/tex] = [tex]\frac{2x+10}{x+3}[/tex] ( cross- multiply )

10(x + 3) = 4(2x + 10 ) ← distribute parenthesis on both sides

10x + 30 = 8x + 40 ( subtract 8x from both sides )

2x + 30 = 40 ( subtract 30 from both sides )

2x = 10 ( divide both sides by 2 )

x = 5

Answer:

The sum of the squares of the lengths of the other sides minus twice the product of the other two sides multiplied by the cosine of angle contained between them equals the square of the length of any side of a given triangle.

Step-by-step explanation:

hope it helps

Answer:

Statement 1 is true; Statement 2 is false.

Step-by-step explanation:

Statement 1:

√12 - √8 = a

Let's use the given value of √12 + √8 ,that is, 4/ a.

If we multiply both the expressions such that their Left Hand Sides get multiplies together and Right Hand Sides together:

=> (√12- √8)(√12 + √8) = a × 4/a

On the LHS,

identity used:

(a-b)(a+b) = a²-b²

On the RHS:

a gets canceled due to its presence in both the numerator as well as the denominator.

=> 12 - 8 = 4

=> 4 = 4

That's it!

We got LHS = RHS, that approves the existence of the given statement.

___________________

Statement 2:

"a + √b is called the rationalizing factor of c + √d if their product is 1"

That's not entirely right!

The correct statement would be:

" a + √b is called the rationalizing factor of c + √d if their product is a rational number ."

Since, rationalizing has got nothing to do with 1, (1 is just another rational number), even if we get 2 by their multiplication, it will be called rationalizing as long as we're getting a rational number.

___________________

Answer:

Hence, I'd say:

Statement 1 is correct but Statement 2 isn't.

That's the third option.

Answer:

2.829

Step-by-step explanation:

ita the closest to 2.83

The most accurate measure is 2.829 cm.

To change a number into an approximation having fewer significant digits.

Given that, A piece of metal with a length of 2.83 cm was measured using four different devices.

a) 2.812 =

Rounding off to the 10th place = 2.81 cm

b) 2.837 =

Rounding off to the 10th place = 2.84 cm

c) 2.805 =

Rounding off to the 10th place = 2.8 cm

d) 2.829 =

Rounding off to the 10th place = 2.83 cm

Hence, the correct answer is 2.829 cm

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Answer:

The answer is 1

Step-by-step explanation:

1² = 1×1

= 1

2 - 1² = 2 - 1

= 1

Answer:

4

-15

Step-by-step explanation:

Answer:

X = The number of hours Joey worked (C)

Step-by-step explanation:

$25 is the fee per hour worked. x is the amount of hours worked. added onto this total is another flat $75 fee for the whole visit, making the equation $25 multiplied by the number of hours worked, plus 75.

Answer:

The answer is B

Step-by-step explanation:

Answer:

Step-by-step explanation:

A common way of measuring the mass of objects is to use balance scales. A balance scale works by placing the object you want to weigh on one side and adding gram masses to the other side until the scales are level. Masses for weighing usually come as 1 g, 5 g, 10 g, 20 g or more!

Answer:

3 three pointers and 8 two pointers

Step-by-step explanation:

hope this helps

Answer:

B. 10

Step-by-step explanation:

Look at the chart.

Find how many members are 50-60 inches tall. (6)

Find how many members are 61-70 inches tall. (4)

Add each member count up. (10)

Answer:          

asd

Step-by-step explanation:

Answer:

(6x-8)+(3x)+x=180 - the equation that would be used to find x

Step-by-step explanation:

(6x-8)+(3x)+x=180

I´m not sure what the answer of the equation is but this is the equation. im sorry :(

Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

sum the 3 angles and equate to 180

3x + x + 6x - 8 = 180 , that is

10x - 8 = 180 ( add 8 to both sides )

10x = 188 ( divide both sides by 10 )

x = 18.8

3x = 3 × 18.8 = 56.4

6x - 8 = 6(18.8) - 8 = 112.8 - 8 = 104.8

Then the 3 angle measures are

18.8° , 56.4° , 104.8°

Answer:

$9.16

Step-by-step explanation:

55/6=9.16

Hey there!

p(x) = 3x + 1

y = 3x + 1

y = 3(-1/3) + 1

y = -1 + 1

y = 0

Therefore, your answer SHOULD be: y = 0

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

14x^4sqrt10

Step-by-step explanation:

Out of the two possible answers showing in the picture it seemed as is it was the only valid answer

Answer: y = -1 and x = 3

Step-by-step explanation:

x=-2y+6

3x-4y = 28

There are two ways to solve this:  1) solve directly with the equations, and 2) graph the line and look for the intersection.

---

Use the definition of x from the first equation and substitute it in the second:

3x-4y = 28

3(-2y+6)-4y = 28

-6y + 18 -4y = 28

-10y = 10

y = - 1

---

Graph the two lines and find the value of y at the point they intersect.  See the attachment.

y = -1 at x= 8

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

For the second question:

y=3x-10

4x+5y=7

---

4x+5y=7

4x+5(3x-10)=7

4x+15x-50=7

19x = 57

x = 3

----

Answer:

25 feet long

Step-by-step explanation:

this is because the ratio is 4:5

so if one side is 20 then the other side must be in proportion to 4:5

multiply both sides by 5 and u get 20:25

hope that helps

Answer:

405

Step-by-step explanation:

divide 270 by 6 the multiply what you got with 9

:)

12.

Answer: 30.25π

11π = circumference

diameter * π = circumference

diameter = 11

radius = 5.5

Area = 5.5 * 5.5 * π

Area = 30.25π

13.

Answer: 52π

Area = radius * radius * pi

Area = 676π

Radius = 26

Diameter = 2 * radius

Diameter = 52

Circumference = 52π

14.

Answer: 38π

Area = radius * radius * pi

Area = 1134.11

Radius ≈ 19

Diameter = 38

Circumference = 38π

15.

Answer: 72.25π

Circumference = diameter * π

53.41 = diameter * π

Diameter ≈ 17

Radius = 8.5

Area = radius * radius * π

Area = 72.25π

Answer:

Step-by-step explanation:

Answer:

Andrea has 83 cherries in stock at the end of the day.

Step-by-step explanation:

starts with 20 cherries

sold 17 cherries

3 cherries remain

get 4 times as many she starts with 20×4= 80

80 + the 3 that remained

Answer:

b

Step-by-step explanation:

It is important to get a leaking faucet fixed as soon as possible to save water, money, and prevent potential problems in the future.

It is important to get a leaking faucet fixed because of the following reasons;

1. Water waste: A leaking faucet wastes a significant amount of water over time, which can contribute to higher utility bills and water shortages in drought-prone areas.

2. Cost-saving: Fixing a leaking faucet can save you money in the long run by reducing your water bill.

3. Preventing bigger issues: Ignoring a leaking faucet can lead to more serious plumbing problems down the line, which can be more expensive to fix.

4. Environmental impact: Wasting water unnecessarily has a negative impact on the environment and can contribute to water scarcity.

Overall, it is important to address a leaking faucet promptly to save water, money, and prevent potential problems in the future.

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Answer:

x less than or equal to 5

i think thats what u wanted

Answer:

-1/8

Step-by-step explanation:

the slope would be the opposite reciprocal of 8, which would be -1/8

Answer:

Y=-1/8x-5

Step-by-step explanation:

Perpendicular lines are negative reciprocals to each other

Step-by-step explanation:

do you mean

7×10⁵ × 3×10²

as you can see, these are all multiplications. and we can do in a first step the multiplications that combine the factors with the same exponent base or simple constants :

7×3 × 10⁵×10² = 21 × 10⁷

in what format do you need the result ?

21 × 10⁷

2.1 × 10⁸ (standard format)

210,000,000