A house that is 30 feet tall casts a shadow that is 50 feet long. A nearby tree casts a shadow that is 75 feet long. HOW LONG IS THE TREE?

Answer:

 3 • (40n - 9m)

Step-by-step explanation:

Equation at the end of step 1

 (84n - 12m) +  3 • (12n - 5m)

Pulling out like terms

3.1     Pull out like factors :

  120n - 27m  =   3 • (40n - 9m)

 3 • (40n - 9m)

Answer:

1/2

Step-by-step explanation:

It's a standard angle, you can find it on most charts

Answer:

-937.5 mph

Step-by-step explanation:

Assuming this takes place in a right angled triangle. With the hypotenuse side being, d, 15 miles, the opposite side being 9 miles and the adjacent being an unknown, x.

Using Pythagoras theorem, we know that

x² = 15² - 9²

x² = 225 - 81

x² = 144

x = √144

x = 12 miles.

Again, we should know that

2xx' = 2dd', this means that

xx' = dd'

From the question, we're told that it's decreasing at d' = 750 mph. On substituting, we have

x' = dd' / x

x' = (15 * -750) / 12

x' = -11250 / 12

x' = -937.5 mile per hour

The ground speed of the plane is also decreasing at 937.5 mile per hour

Answer:

[tex]\sqrt{135\\}[/tex]

Step-by-step explanation:

Geometric mean can be calculated like such:

a/x = x/b

Where a and b are your 2 numbers. By solving for x by cross-multiplying you get:

x^2=ab

So to solve for geometric mean, all you have to do is to multiply the two numbers and take the square root:

9(15)=135

[tex]\sqrt{135\\}[/tex]

The geometric mean of 9 and 15 is 11.62

Given two integers A and B, the geometric mean of the integers is expressed as:

GM = √A×B

Given the values 9 and 15, the geometric mean of the values is expressed as:

GM = √9×15

GM = √135

GM = 11.62

Hence the geometric mean of 9 and 15 is 11.62

Learn more here: https://brainly.com/question/1382539

Answer:

17.5

Step-by-step explanation:

formula:

y=k(x)

direct variation^^^

y=7, x=2

substitute it in the formula

7=(k)2 or 7=2k

7/2 or 3.5= k, k is the constant

now substitute k to the problem

y=5k

y=5(3.5)

y=17.5

Answer:

6.7

Step-by-step explanation:

Theres a formula to figure this out. If you know two sides of a right angle triangle you can find the third.

Use the formula a²=b²+c², where a is the side opposite the right angle and b and c are the other sides.

a²=b²+c²

7²=2²+c²

49=4+c²

49-4=c²

c=√45 or 6.7082039325

Answer:

$480

Step-by-step explanation:

Assuming that you have worked 10 hours and have done 3 policies in the equation 18h+100p, you want to plug in the said hours and policies into the variables to get this 18 (10) + 100 (3).  You should get $480 as a result.

Answer:

0>-16

Step-by-step explanation:

Answer:

12.56m

Step-by-step explanation:

circumference of a circle=2π(d÷2)=2×3.14(4÷2)=6.28×2=12.56m

Answer:

45 yellow ones, i think

Step-by-step explanation:

for every 2 green, there are 5 yellow

there are 18 green, so 9 pairs

9 times 5 = 45  (i multiplied by 5 because there are 5 yellow for each pair of green)

Answer:

-2 < 6

4 > -8

Step-by-step explanation:

Answer:

X = 13

Step-by-step explanation:

Add 7 to both sides

2x = 26

divide by 2

x = 13

Answer:

I think one solution

Step-by-step explanation:

step by step

Answer:

the first one

4(2x+1)

Step-by-step explanation:

3x+5x=8x

6-2=4

8x+4

Answer:

0.75+ 7

Step-by-step explanation:

7.75

Answer:

7.75y

Step-by-step explanation:

I believe this is your answer lmk if it is wrong !! :)

Answer:

True

Step-by-step explanation:

Two shapes are congruent if when turning, flipping or sliding one shape it can become another.

Answer:

$3.25

Step-by-step explanation:

The grapes costs $2.70 per pound but you're buying 2.5 pounds so take $2.70 x 2.5 = $6.75. Now u just take $10 - $6.75 which equals $3.25 and thats ur answer.

Answer:

You receive 3.25 cash back.

Step-by-step explanation:

2.70 x 2.5 = 6.75

6.75 + ? = 10

A = 3.25

Answer:

3

Step-by-step explanation:

Let us plug y into the equation:

6*1-3*1=

6-3=

3

I hope this helps! :)

Answer:

3

Step-by-step explanation:

you need to substitute the y for 1 because y=1

so it'll look something like this 6(1) - 3(1)

The y is touching the 6 and -3 so that means you need to multiply.

So 6(1) - 3(1) = 6-3 = 3

Answer:

Step-by-step explanation:

As graph is bounded between x = -4 & x = 2 so the domain will be C option.

Answer:

26,552

Step-by-step explanation:

Answer:

what is Joshuas savings?

Answer:

10 months

Step-by-step explanation:

250 / 25

hope this helped :))

Answer: Angle 1 = 150 - corresponding angles

Angle 2 = 150 - alternate exterior angles

Step-by-step explanation:

To find the measure of angles ∠1 and ∠2, we are using vertical angle theorem and corresponding angles concept.

From the given figure measure of one of the angle is 150°.

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

Corresponding angles are angles that occur on the same side of the transversal line and are equal in size. They are either both obtuse or both acute.

Here, ∠1 = 150° (Corresponding angles)

∠1 =∠2 = 150° (Vertically opposite angles are congruent)

To find the measure of angles ∠1 and ∠2, we are using vertical angle theorem and corresponding angles concept.

To learn more about the vertical angle theorem visit:

https://brainly.com/question/8119520.

#SPJ5

Answer:

[tex]x=\dfrac{8}{\sqrt3}[/tex]

Step-by-step explanation:

Given that,

[tex]\sin(30)=\dfrac{\dfrac{4}{\sqrt3}}{x}[/tex] ...(1)

We need to find the value of x.

We know that,

sin30 = 1/2

Use it in equation (1).

[tex]\dfrac{1}{2}=\dfrac{\dfrac{4}{\sqrt3}}{x}\\\\x=\dfrac{4}{\sqrt3}\times 2\\\\x=\dfrac{8}{\sqrt3}[/tex]

So, the value of x is equal to [tex]\dfrac{8}{\sqrt3}[/tex].

Answer:

see the attachment

Step-by-step explanation:

The break-even point is on both curves. The y-intercept can be used for the other point in each case.

The break-even point is where cost and revenue are the same:

 20/3x +50 = 10x

 50 = 10/3x . . . . . . . . subtract 20/3x

 15 = x . . . . . multiply by 3/10

 r = c = 10(15) = 150 . . . . for x = 10

Two points you can use for graphing the lines are ...

 cost: (0, 50) and (15, 150)

 revenue: (0, 0) and (15, 150)

9514 1404 393

Answer:

  6

Step-by-step explanation:

Cost and revenue are equal when ...

  C = R

  2.5x +21 = 6x

  21 = 3.5x . . . . . . subtract 2.5x

  6 = x . . . . . . . . . .divide by 3.5

The company must sell 6 items to break even.

Answer:

3x/5 + 3/8

Step-by-step explanation:

Answer:

4. 380.13 cm²

5. 706.86 cm²

6. 12.57 cm²

Step-by-step explanation:

4. Area of circle = πr²

radius (r) = ½ of diameter = ½ of 22 cm = 11 cm

Area = π*11²

Area = 380.13 cm²

5. Area of circle = πr²

radius (r) = ½ of diameter = ½ of 30 cm = 15 cm

Area = π*15²

Area = 706.86 cm²

6. Area of circle = πr²

radius (r) = ½ of diameter = ½ of 4 cm = 2 cm

Area = π*2²

Area = 12.57 cm²

Answer:

7:30 pm

Step-by-step explanation:

pretty much just add on all the times