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mylen [45]
3 years ago
8

Enter the number that belongs in the green box

Mathematics
2 answers:
Bond [772]3 years ago
8 0
Answer: 60°

The reason for this is because the image shows that ALL the sides are EQUAL. Therefore, all the angles must be equal.
So, we know that a triangle equals a total of 180°. If we simply divide that total by 3 we get 60°.
Scilla [17]3 years ago
7 0

Equilateral triangles are triangles whose all sides and angles are equal.

Since the above given triangle has 3 equal sides it is an equilateral triangle.

So, the three angles of this triangle can be 3x.

Which means :

=\tt 3x = 180

=\tt x =  \frac{180}{3}

\hookrightarrow \tt \color{plum}x = 60°

▪︎Therefore, <em><u>x = 60°</u></em>

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Determine the quotient of 1 and 1 over 3 divided by 3 over 5.
natita [175]
1 1/3 divided by 3/5= 2 2/9. Hope this helps :)
4 0
3 years ago
Need help I need this Question to go to the other
creativ13 [48]

Answer:

B

Step-by-step explanation:

the dot is placed in the middle between 1 and 0 so that would equal 1/2 which is 0.50

7 0
2 years ago
18 Soft and her family drove through 6 midwestern states on their vacation, where as prices varied by state
shepuryov [24]

Answer:

<em>The range is 50.3</em>

Step-by-step explanation:

<em>The range of a data set in statistics is the difference between the largest and the smallest values.</em>

8 0
3 years ago
Alice subscribes to the symphony. the cost is $295.55 for 32 performances. if alice sells you four tickets, what will they cost
Jobisdone [24]
32 performance = $295.55

1 performance = 299.55 ÷ 32 = $9.24

4 performance = $9.24 x 4 = $36.96

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Answer: It will cost $36.96.
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7 0
3 years ago
Suppose there are two lakes located on a stream. Clean water flows into the first lake, then the water from the first lake flows
never [62]

Answer:

a.  For the first lake;

c = (m·t - 0.005·m·t²)/100000

For the second tank, we have;

c = m·t/200 - m·t²/80000

b. t ≈ 1.00505 hours

c. 200 hours

Step-by-step explanation:

The flow rate of water in and out of the lakes = 500 liters/hour

The volume of water in the first lake = 100 thousand liters

The volume of water in the second lake = 200 thousand liters

The mass of toxic substances that entered into the first lake =  500 kg

The concentration of toxic substance in the first lake = m₁/(100000)

Therefore, we have;

The quantity of fresh water supplied at t hours = 500 × t

The change

The change in the mass of the toxic substance with time is given as follows

dm/dt = (m - m/100000 × 500 × t)/100000

c = (m·t - 0.005·m·t²)/100000

For the second tank, we have;

c = m/100000 × 500 × t - (m/100000 × 500 × t)/200000 × 500 × t

Using an online tool, we have;

c = m·t/200 - m·t²/80000

b. When c < 0.001 kg per liter, we have m < 0.001 × 100000, which gives m < 100

Substituting gives;

0.001 = (100·t - 0.005·100·t²)/100000, solving with an online tool, gives;

t ≈ 1.00505 hours

c. For maximum concentration, we have;

c = m·t/200 - m·t²/80000

m/200000 = m·t/200 - m·t²/80000

1/200000 = t/200 - t²/80000

dc/dt = d(t/200 - t²/80000)/dt = 0

Solving with an online tool gives t = 200 hours

6 0
2 years ago
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