A famous monument is 300 ft tall. When it casts​ 210-ft shadow, a nearby tree casts a shadow that is 27 ft long. About how tall is the​ tree?

Answer:

 {x,y} = {3/7,-43/7}

Step-by-step explanation:

System of Linear Equations entered :

  [1]    x + 3y = -18

  [2]    -x + 4y = -25

Graphic Representation of the Equations :

   3y + x = -18        4y - x = -25  

Solve by Substitution :

// Solve equation [1] for the variable  x  

 [1]    x = -3y - 18

// Plug this in for variable  x  in equation [2]

  [2]    -(-3y-18) + 4y = -25

  [2]    7y = -43

// Solve equation [2] for the variable  y  

  [2]    7y = - 43  

  [2]    y = - 43/7  

// By now we know this much :

   x = -3y-18

   y = -43/7

// Use the  y  value to solve for  x  

   x = -3(-43/7)-18 = 3/7  

Solution :

{x,y} = {3/7,-43/7}

Answer:

-7

Step-by-step explanation:

Answer:

m=-7  ,b=-3

Step-by-step explanation:

Answer: 1012.50

Step-by-step explanation:

The formula for calculating Simple interest is:

= Principal × Rate × Time

= 4500 × 7 1/2% × 3

= 4500 × 7.5/100 × 3

= 4500 × 0.075 × 3

= 1012.50

Therefore, the simple interest is 1012.50

Step-by-step explanation:

If m is parallel to n and one of its angle is 25

Therefore, the vertically opposite angle to angle of 25 is also equal to 25

Now, we have to find x

Therefore, x=180-25 ( interer angles on the same side of the transversal so addition of both angles is 180)

Therefore, x =155

Answer:

That would be 6.5 inches.

The answer is A. 4, [tex]\sqrt{8}[/tex], 24

Answer:

16 cm^3

Step-by-step explanation:

The computation of the volume of a cone is shown below:

As we know that

The Volume of the cylinder is πr^h

And the volume of the cone is 1 ÷ 3 πr^h

Also the height and the radius is the same for both

so, the volume of the cone is

= 1 ÷ 3 × 48

= 16 cm^3

Answer:

thx for the 32 points

Step-by-step explanation:

Answer

Step-by-ste$6.48- $6.00= $.48

.48÷ 6.0= 0.08

0.08 = 8%

tax rate is 8%

p explanation:

Answer:

3%

Step-by-step explanation:

6.18-6.00 = .18

.18/6.00= .03

.03= 3%

Answer:

Step-by-step explanation:

Round the ratio 4:8

to 5 then divide (/), =51

Answer:

944

Step-by-step explanation:

(8x10x5)+(17x8x4)

Answer:

-21

Step-by-step explanation:

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

Work Shown:

If line a is parallel to line b, then the alternate interior angles (4x-30) and (2x) are equal to one another.

Let's solve for x

4x-30 = 2x

4x-2x = 30

2x = 30

x = 30/2

x = 15

Answer:

Step-by-step explanation:

Don't use 0 as a substitute for θ.  0 is always 0.

cosθ = -5/(2√15)

secθ = 1/cosθ = -2√15/5

The exact value of sec θ is -8.6/5.

One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.

We have,

Point(-5, -7).

Here, x= -5 and y= -7

So, r = √x² + y²

r= √(-5)²  + (-7)²

r= √25 + 49

r = √74

r= 8.6

So, sec θ= H/ B

              = r/x

              = 8.6/ (-5)

              = -8.6/ 5

Learn more about Trigonometry here:

https://brainly.com/question/16855111

#SPJ2

Answer:

the first 1 and the last 1 i think

Step-by-step explanation:

Answer:

I think is the first one 1/1÷ m/6  and the last 1/6 m

and if I'm correct the second one too. (m/6) (1)

Explanation:

Hope it helps!~

Good luck on your assignment!!

Answer:

2.25

225%

9/4

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

hello lol

these are alternate exterior angles so they are equal

26x + 1 = 131

26x  = 130

x = 5

Answer:

[tex] {y}^{8} + 8 {y}^{7} + 28 {y}^{6} + 56 {y}^{5} + 70 {y}^{4} + 56 {y}^{3} + 28 {y}^{2} + 8y + 1[/tex]

Answer:

Step-by-step explanation:

This is an ugly binomial expansion, which you should try to remember

These are the coefficients for the power

1,2,1 for power two

1,3,3,1 for p=3

1,4,6,4,1 for p=4

1,5,10,10,5,1 for p=5

you should see a pattern here :)

1,8,28,56,70,56,28,8,1

In general the terms are ordered for the expansion of (a+b) that has the form

a^n(b^0)+a^(n-1)b^1+...a^0(b^n) since we have (y+1)^8 we wind up with

y^8+8y^7+28y^6+56y^5+70y^4+56y^3+28y^2+8y+1

Answer:

the correct answer is number 2

Step-by-step explanation:

X3 - 4x - 16x-24

Answer:

the answer is B

Step-by-step explanation:

X3-4x2-16x+24

Answer:

28

Step-by-step explanation:

you do

252 divided by 9 and you get 28 as an answer

28 CADA AULA

Step-by-step explanation:DIVIDES 252 ENTRE 9

Answer:

It is A

Step-by-step explanation:

I got it wrong because of the other guy and I got to see the answer.

Answer:

4 taken away from 7 times a number

Step-by-step explanation:

4 taken away (-4) from 7 times (7x) a number (c)

7c - 4

Answer:

It's the 3rd one. Four taken away from the product of seven and a number

Step-by-step explanation:

since it's 7c this shows that we are multiplying them together and then taking away 4.

Answer:

ask your teacher

Step-by-step explanation:

Answer:

[tex]\huge\sf\underline\blue{Answer}[/tex]

Option D

-x < 5

Answer:

21.99115 ≈ 22 cm

Step-by-step explanation:

1) So basically in the problem, they give you 7 cm as the diameter.

2) The circumference formula is C = 2πr (if they give you a radius) or C = πd (In this case, this would be the formula to use.)

3) Plug in; C = π(7) = 21.99114858 ≈ 22 cm