Forest rangers found that a 20 foot tree casts a 10 foot shadow. How tall is the
neighboring tree that casts an 8 foot shadow?

Answer:

Step-by-step explanation:

1. is y= 3 x +8

-3 x +  y - 8= 0

y = 3x+ 8

2. is in the pictures

3.

3 X + 5 y - 10 = 0

Real solution:

y = 2 - (3 X)/5

Solution:

y = 2 - (3 X)/5

Integer solution:

X = 5 n, y = 2 - 3 n, n element Z

Solution for the variable y:

y = 1/5 (10 - 3 X)

Answer:

Center of circle: (1, -2)

Radius: √6

Step-by-step explanation:

First, we need to isolate the constant:

Then, we can divide the whole equation by 4:

Then, we can complete the square(reminder: (a+b)^2 = a^2 + 2ab + b^2)

Now that we got the standard equation of the circle, we can find the center and radius by using the equation , where (h, k) is the coordinate of the center, and r is the radius.

Therefore, the center of the circle is (1, -2), and the radius of the circle is √6.

Step-by-step explanation:

The center and radius of the circle 4x² + 4y² - 4x + 16y + 1 = 0 are (1/2, -2) and  2 respectively.

To solve the question, we need to know the standard equation of a circle.

The standard equation of a circle with center (h,k) and radius, r is

(x - h)² + (y - k)² = r²  (1)

Now, to find the center and radius of 4x² + 4y² - 4x + 16y + 1 = 0, we convert it to standard form by completing the square method.

This is a mathematical operation in which we convert a mathematical expression into a perfect square.

So, 4x² + 4y² - 4x + 16y + 1 = 0

Subtracting 1 from both sides, we have

4x² + 4y² - 4x + 16y + 1 - 1 = 0 - 1

4x² + 4y² - 4x + 16y = - 1

Divding through by 4, we have

x² + y² - x + 4y = -1/4

Adding half the square of the coefficient of x and y to both sides, we have

x² + y² - x + 4y + (-1/2)² + 2² = -1/4 + (-1/2)² + 2²

x² - x + (-1/2)² + y² + 4y + 2² = -1/4 + 1/4 + 2²

(x - 1/2)² + (y + 2)² = 0 + 2²

(x - 1/2)² + (y + 2)² = 2²  (2)

Comparing equations (1) and (2), we have h = 1/2, k = -2 and r = 2.

So, the center and radius of the circle 4x² + 4y² - 4x + 16y + 1 = 0 are (1/2, -2) and  2 respectively.

Learn more about standard equation of a circle here:

brainly.com/question/7622620

Answer:

(1 2 ÷ 3) (2 1 ÷ 2) = x

Step-by-step explanation:

The equation is

Let us assume x be the amount of flour she will need in cups.

Now

1 2 ÷ 3 becomes 5 ÷ 3

2 1 ÷ 3 becomes 5 ÷ 2

Now multiply each number  

(5 ÷ 3)(5 ÷ 2) = x  

25 ÷ 6 = x

Hence, (1 2 ÷ 3) (2 1 ÷ 2) = x this would be the equation

Answer:

Neither A nor B

Step-by-step explanation:

Neither set of order pairs represent a function, because none of the points have a correlating function throughout them.

Answer:

d-bar= ∑d/n= -0.7/ 5= -0.14

Step-by-step explanation:

Eight am             12 am             difference (8:00am- 12:00 am)= d

98.4                      98.9              (98.4-98.9=) -0.5

98.6                       99               (98.6-99=) -0.4

97.8                       97.9            (97.8-97.9=) - 0.1

97.1                       96.6             (97.1-96.6=)+0.5

97.5                       97.7              (97.5-97.7=)-0.2        

∑                                                  -0.7        

d= difference between 8 am and 12 am

First we subtract the 12.00 am times from 8:00 am times.

Then we add all the differences to get the total difference ∑d.

∑d= -0.7= total of the difference between two times.

n= number of observations=5

Putting the values in the formula would give the answer.

d-bar= d`= ∑d/n= -0.7/ 5= -0.14

Answer:

7

Step-by-step explanation:

First put them in order.  I got 3, 4, 5, 5, 6, 7, 7, 8, 10, 10, 10. The middle is the sixth, because (1+11)/2 is 6. So the median is 7.

Cevap:

253

Adım adım açıklama:

23 ve 11'in çarpımı;

_____2 ___ 3

___ * _ 1 ____1

_________

_____2____3

_ + _ 2_3

____________

__2__5____3

____________

Dolayısıyla 23 * 11'in çarpımı 253'tür.

Hesap makinesi problemi çözmekte zorlanırsa aynı sonuç.

Answer:

18π + 90

Step-by-step explanation:

The perimeter is the sum of quarter of the circumference and 2r , that is

P = 2πr + (45 + 45)

  = 2 × π × 36 × [tex]\frac{1}{4}[/tex] + 90

  = 2 × π × 9 + 90

  = 18π + 90

The answer to this question is 5 days

Answer:

5

Step-by-step explanation:

7+4=11

11+4=15

15+4=19

19+4=23

23+4=27

Answer:

answer b

step - by - step explanation

Answer:

Step-by-step explanation:

[tex]\text{Did you mean}\\ \\ \sqrt[3]{15-7}\\ \\ \sqrt[3]{8}=2\text{ which IS a rational number}[/tex]

Answer:

48

Because 12x4 is 48 and 48/4=12

Answer:

trapezoid

Step-by-step explanation:

Answer:

20 Soda Bottles.

Step-by-step explanation:

I have done questions like this before.

Answer:

3

Step-by-step explanation:

The ratio cereal to marshmallow is 3:2 which is also the ratio in number 3. 15:10 can be simplified to 3:2.

Answer:

Step-by-step explanation:

p:q = ⅔:3 = 2:9 = 6:27

p:r = ¾:½ = 3:2 = 6:4

p:q:r = 6:27:4

Answer:

1. A

2. D

3. B

4. B

5-6. B

7. D

8. D

Answer:

The component form of the velocity of the airplane is [tex]\vec v = 389.711\,\hat{i} -225\,\hat{j}\,\left[\frac{m}{s} \right][/tex].

Step-by-step explanation:

Let suppose that a bearing of 0 degrees corresponds with the [tex]+x[/tex] direction and that angle is measured counterclockwise. Besides, we must know both the magnitude of velocity ([tex]\|\vec v\|[/tex]), in miles per hour, and the direction of the airplane ([tex]\theta[/tex]), in sexagesimal degrees to construct the respective vector. The component form of the velocity of the airplane is equivalent to a vector in rectangular form with physical units, that is:

[tex]\vec v = \|\vec v\|\cdot (\cos \theta \,\hat{i}+\sin \theta\,\hat{j})[/tex] (1)

If we know that [tex]\|\vec v\| = 450\,\frac{mi}{h}[/tex] and [tex]\theta = 330^{\circ}[/tex], then the component form of the velocity of the airplane is:

[tex]\vec v = 389.711\,\hat{i} -225\,\hat{j}\,\left[\frac{m}{s} \right][/tex]

The component form of the velocity of the airplane is [tex]\vec v = 389.711\,\hat{i} -225\,\hat{j}\,\left[\frac{m}{s} \right][/tex].

The value of 99.7% is the closest to the percentage of these heights that is within 3 standard deviations of the mean.

If your distribution follows a normal distribution, the standard deviation and mean can tell you where the majority of the data are.

It is given that:

The heights of a large population of ostriches are normally distributed.

The percentage of these heights that is within 3 standard deviations of the mean

As we know from the empirical rule:

It is the rule of 68-95-99.7.

From the data given in the question:

The height of a large population of ostriches is normally distributed.

So,

X ~ (u, б²)

Normal distribution.

P{u - 3б < X < u + 3б}

From the distribution table:

P{u - 3б < X < u + 3б} = 99.7%

Thus, the value of 99.7% is the closest to the percentage of these heights that is within 3 standard deviations of the mean.

Learn more about the empirical rule here:

brainly.com/question/5440679

#SPJ2

Answer:

In-33

out-58

rule, subtract 4

Answer:

B- Max has 10$. He earns 25.75$ for every lawn that he mows.

D is also an answer.

Step-by-step explanation:

This equation is an example of the formula y=mx+b, where mx is the slope and b is the y intercept, the slope is a continuous thing where as the y- intercept is like a beginning point.

So, A is incorrect because it puts 25.75 as the y intercept when it should be the slope. C is wrong because that is not even the kind of equation we are working with, and E is a different equation. I think the only possible answers are B and D

Answer:

[tex]-x+4[/tex]

Step-by-step explanation:

Answer:

x= -2 y= -5

Step-by-step explanation:

Answer:

Step-by-step explanation:

log 31.3= 1.49554433755 (round to 1.496)

ln square root of 7= 0.97295507452 (round to .973)

Answer:

Value of x = 5

Step-by-step explanation:

Given:

x + 4 = 3(x - 2)

Find:

Value of x

Computation:

x + 4 = 3(x - 2)

⇒ x + 4 = 3x - 6

⇒ x = 3x -6 - 4

⇒ x - 3x = -10

⇒-2x = - 10

⇒ x = -10 / - 2

Value of x = 5