A lumber company is able to clear about 3 acres of dense forest each day. Assuming that, on average, each acre of forest contains 311.5 large sized trees, what is a good estimate of the number of large trees that the company could clear in 7 days?
A.
1,800 trees
B.
12,600 trees
C.
6,300 trees
D.
10,500 trees

Answer:

Vertical angles = 81 degrees

Angle (4y-1) = 99 degrees

Linear pair = 81 + 99 = 180 degrees

Step-by-step explanation:

2x + 5 = 3x - 33 (vertical angles)

33+5 = 3x - 2x

38 = x

3(38) - 33 = 81 degrees

4y - 1 + 81 = 180 (linear pair angles)

4y = 180 - 80

y = 100/4

y = 25

4(25) -1 = 99 degrees

this question is non linear

The distance between the tornado, and both spotters is an illustration of bearing and distance.

See attachment for the positioning of the tornado, and the two spotters.

First, we calculate the angle T.

[tex]\mathbf{\angle T + 43 + 59 = 180}[/tex] ---- Sum of angles in a triangle

[tex]\mathbf{\angle T +102 = 180}[/tex]

Subtract 102 from both sides

[tex]\mathbf{\angle T = 78}[/tex]

From the attached figure:

To calculate y, we make use of the following sine formula

[tex]\mathbf{\frac{y}{sin(59)} = \frac{35}{sin(78)}}[/tex]

Make y the subject

[tex]\mathbf{y = \frac{35}{sin(78)} \times sin(59)}[/tex]

[tex]\mathbf{y = 30.67}[/tex]

To calculate z, we make use of the following sine formula

[tex]\mathbf{\frac{z}{sin(43)} = \frac{35}{sin(78)}}[/tex]

Make z the subject

[tex]\mathbf{z = \frac{35}{sin(78)} \times sin(43)}[/tex]

[tex]\mathbf{z = 24.40}[/tex]

Next, we calculate x, using the following sine trigonometry ratio

[tex]\mathbf{sin(59) = \frac{x}{z}}[/tex]

Make x the subject

[tex]\mathbf{x = z \times sin(59)}[/tex]

Substitute [tex]\mathbf{z = 24.40}[/tex]

[tex]\mathbf{x = 24.40 \times sin(59)}[/tex]

[tex]\mathbf{x = 20.91}[/tex]

Hence, the required distances are 30.67 miles, 24.40 miles and 20.91 miles.

Read more about bearing and distance at:

https://brainly.com/question/19017345

Answer:

Easy pie

Step-by-step explanation:

5(x - 3) + 2 = 5(2x - 8) - 3​

5x - 15 + 2 = 10x - 40 - 3

5x - 10x = 15 - 2 - 40 - 3

-5x = -30

5x = 30

x = 6

Answer:

46.6666667

Step-by-step explanation:

we need to know the TOTAL average speed. To do that, we need to know how to get the speed, which is distance/time. Now we have to substitute. The equation we get is: s= (90+120)/(1.5+3). After solving, you should get s= (210miles)/(4.5hrs). Now all we have to do is divide, which equals 46.6666667.

Hope this helps! (:

The required average speed of Oliver is 46.67 miles per hour.

Given that,
Oliver drove the first 90 miles of his journey in 1.5 hours and the remaining 120 miles in 3 hours, what was the total average speed is to be determined.

Speed is defined as when an object is subjected to move, the distance covered by the object in a certain time interval is the speed of that object.

The average of the values is the ratio of the total sum of values to the number of values.

Here,
Total distance traveled = 90 + 120 = 210 miles
Total time taken = 1.5 + 3 = 4.5 hours
Average speed = distance / time
                       = 210 / 4.5
                       = 46.67 miles per hour

Thus, the required average speed of Oliver is 46.67 miles per hour.

Learn more about averages here:

brainly.com/question/24057012

#SPJ2

Step-by-step explanation:

that is the step by step

brainliest please

Answer:

...

Step-by-step explanation:

...

Answer:

Thank you for the points and you sertanly right

Step-by-step explanation:

Answer:

7:3   35:65   56/104    14/26

Step-by-step explanation:

You can pick three!

ANSWER: 5 (× + 6)

Step-by-step explanation:

Hope this helpಠ◡ಠ

have a good day!❤️

Answer:

The highest recorded temperature in the national park is 91 degrees. Overall, in the north and south part of Denali, the average temperatures fluctuate between 50 and 60.Summers are short in Denali, and visitors should be prepared for cold, rain and even snow in mid-to-late August.

Answer:

The answer should be 41 miles per hour

Step-by-step explanation:

9514 1404 393

Answer:

  (f -g)(x) = -5x -15

Step-by-step explanation:

  (f -g)(x) = f(x) -g(x) = (-2x -6) -(3x +9) = -2x -6 -3x -9

  (f -g)(x) = -5x -15

Answer:

Far left one, A

Step-by-step explanation:

Answer:

As 4 of the 22 males questioned liked talking on the phone, the odds are 4/22

Step-by-step explanation:

Answer:

3, 0

Step-by-step explanation:

So, if we rewrite our given equation to have its 0x its easier to picture factorising it.

Factorise into (x+3)(x-3)

Make this equation equal to zero

Solve for your two pairs, -3, 0 (which was given in the question- I wrote this in green)

and 3, 0 (I wrote this in blue)

9514 1404 393

Answer:

  (-3, 0) (given) and (3, 0)

Step-by-step explanation:

Apparently, the "solution" you're looking for is the solution to f(x) = 0.

To find the solutions, look for table values where y = 0. The solutions are the corresponding x-values. The (x, y) pairs that are solutions can be read from the table:

  (-3, 0) and (3, 0)

Answer:

2

Step-by-step explanation:

please mark brainiest hope it works out for you

Answer:

33

Step-by-step explanation:

I assume you're given the binary number, 11111₂. Expanding the digits in base 10, this is the same as

1•2⁴ + 1•2³ + 1•2² + 1•2¹ + 1•2⁰

= 16 + 8 + 4 + 2 + 1

= 31

Answer:

The slope is -3/2

The y intercept is (0, -5) :)

Step-by-step explanation:

the slope is whatever is times by x

the y intercept is what’s being subtracted by it

The values of m and b from the equation of the given line are;

m = -3/2 and b = -5

We are given the equation;. y = -(3/2)x - 5

Now, the general form of an equation of a line in slope intercept form is;

y = mx + b

Where;

m is slope

b is y-intercept

Thus, comparing the general form to our given equation, we can see that;

m = -3/2 and b = -5

Read more about slope intercept form at; https://brainly.com/question/1884491

Answer:

y = 5.5x - 17

Step-by-step explanation:

(4,5)(2,-6)