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tia_tia [17]
2 years ago
8

The amount of garbage produced in the United States varies directly with the number of people who produce it. It is estimated th

at on average 200 people produce 50 tons of garbage annually. Approximately how many tons of garbage are produced each year by 100,000 people?
A. 800 tons
C. 125,000 tons
B. 25,000 tons
D. 400,000 tons
Mathematics
1 answer:
zubka84 [21]2 years ago
7 0

Answer:

B. 25,000 tons

Step-by-step explanation:

The equation is x(tons of garbage) = 1/4y(people). In this question, the y is given (100,000). using the equation, 1/4 of 100,000 is 25,000.

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More math help pls. :)
Step2247 [10]

By using trigonometric relations, we will see that x = 9.97°.

<h3>How to find the missing angle?</h3>

First, we need to find the bottom cathetus of the smaller triangle, we will use the relation:

Tan(θ) = (opposite cathetus)/(adjacent cathetus).

Where:

  • θ = 26°
  • Adjacent cathetus = k
  • Opposite cathetus  = 55ft.

Replacing that we get:

Tan(26°) = 50ft/k

Solving this for k, we get:

k = 55ft/tan(26°) = 112.8 ft

Now, we can see that the longer triangle adds 200ft to this cathetus, so now we will have:

  • angle = x
  • opposite cathetus = 55ft
  • adjacent cathetus = 112.8ft + 200ft = 312.8ft.

Then we have:

Tan(x) = (55ft/312.8ft)

Using the inverse tangent function in both sides, we get:

x = Atan(55ft/312.8ft) = 9.97°

If you want to learn more about right triangles, you can read:

brainly.com/question/2217700

6 0
2 years ago
Directions: Simplify these problems by combining like terms.
Verdich [7]

Answer:

6s + 2s - 3s - 6:

5s-6

10t - 4t -6 + 5t:

11t-6

18r + 18r + 9r - 3r:

42r

20 - 4q + 40r - 16:

-4q+40r+4

17st - 16s + t:

17st-16s+t

. 101+101x - x:

101+100x

16a2 - 14a + a2 - 3a:

14 ato the power of 2- 17a

14t + 14t + t:

29t

r + s + rs + s + rs + s:

r+2rs+3s

54 pt - 3p + 4t - 3pt:

51pt-3p+4t

i dont know 11

101c - 5c +4c:

100c

12q - 4 + 10q - 4q +9:

18q+5

21k - 20k + 3k:

4k

181x + 91x - 23x:

249x

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Circle has rad of 1.5m what angle subtended at center of circle by arc of 1m
Mumz [18]
120 degrees or 0.67 radians
5 0
3 years ago
A tug boat traveled -15 miles in 0.3 hours what was its velocity
GenaCL600 [577]

Answer:

22.35 m/s

Step-by-step explanation:

The distance is always a positive unit, so distance traveled (d) = 15 miles

Time (t) = 0.3 hours

Time (t) = 0.3 * 60 = 18 minutes

(1 hour = 60 minutes)

Velocity (v) = ?

The formula of distance is: d = v*t

=> v = d/t = 15/18 = 0.83 miles/minute

we can also calculate velocity is meter/sec, for that

1 minute = 60 sec

=> 18 mins = 18*60 = 1080 sec

1 mile = 1609.34 meters

=> 15 miles = 15 * 1609.34 = 24,140 m

hence,

v = 24,140/1080 = 22.35 m/s

4 0
3 years ago
Which transformations can be used to map a triangle with vertices A(2, 2), B(4, 1), C(4, 5) to A’(–2, –2), B’(–1, –4), C’(–5, –4
jek_recluse [69]
Notice that every pair of point (x, y) in the original picture, has become (-y, -x) in the transformed figure.

Let ABC be first transformed onto A"B"C" by a 90° clockwise rotation.

Notice that B(4, 1) is mapped onto B''(1, -4). So the rule mapping ABC to A"B"C"   is (x, y)→(y, -x)

so we are very close to (-y, -x).

The transformation that maps (y, -x) to (-y, -x) is a reflection with respect to the y-axis. Notice that the 2. coordinate is same, but the first coordinates are opposite.


ANSWER:

"<span>a 90 clockwise rotation about the origin and a reflection over the y-axis</span>"


5 0
3 years ago
Read 2 more answers
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