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I am Lyosha [343]

2 years ago

11

Pablo's company makes solid balls out of scrap metal for various industrial uses. His current task is to make a batch of

1 answer:

solniwko [45]2 years ago

8 0

Ok I will get the points

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Find the value of X so that the figures have the same perimeter.

DerKrebs [107]

Can I see the figures?

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3 years ago

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I need help to figure this out.

Sloan [31]

Answer:

$\frac{1}{4} = \frac{5}{20}$

$\frac{2}{5} = \frac{8}{20}$

$\frac{1}{4} < \frac{2}{5}$

7 0

2 years ago

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What additional information do you need to prove that ∆AMD ≅ ∆CNB by the HL Theorem?

Maurinko [17]

(H)ypotenuse (L)eg, right-triangle theorem.

based on the provided graph, we know the hypotenuses are equal, thus the tickmarks, so H is true, now the L part, we only need either of the pair of legs to be equal DM = NB or AM = CN, if either one is true, we're golden.

8 0

3 years ago

The 5th term in a geometric sequence is 40. The 7th term is 10. What is (are) the possible value(s) of the 4th term?

Lena [83]

Answer:

possible values of 4th term is 80 & - 80

Step-by-step explanation:

The general term of a geometric series is given by

$a(n)=ar^{n-1}$

Where a(n) is the nth term, r is the common ratio (a term divided by the term before it) and n is the number of term

Given, 5th term is 40, we can write:

$ar^{5-1}=40\\ar^4=40$

Given, 7th term is 10, we can write:

$ar^{7-1}=10\\ar^6=10$

We can solve for a in the first equation as:

$ar^4=40\\a=\frac{40}{r^4}$

<em>Now we can plug this into a of the 2nd equation:</em>

<em> $ar^6=10\\(\frac{40}{r^4})r^6=10\\40r^2=10\\r^2=\frac{10}{40}\\r^2=\frac{1}{4}\\r=+-\sqrt{\frac{1}{4}} \\r=\frac{1}{2},-\frac{1}{2}$ </em>

<em />

<em>Let's solve for a:</em>

<em> $a=\frac{40}{r^4}\\a=\frac{40}{(\frac{1}{2})^4}\\a=640$ </em>

<em />

Now, using the general formula of a term, we know that 4th term is:

4th term = ar^3

<u>Plugging in a = 640 and r = 1/2 and -1/2 respectively, we get 2 possible values of 4th term as:</u>

$ar^3\\1.(640)(\frac{1}{2})^3=80\\2.(640)(-\frac{1}{2})^3=-80$

possible values of 4th term is 80 & - 80

3 0

3 years ago

over the next 30 years,some estimates place the worlds population going from roughly 7.2 billion people in the world to 10 billi

vredina [299]

Answer:

Current impact in pollution units per day=21.6 billion pollution units per day

Step-by-step explanation:

1 person consumes 3000 kilo-calories per person

Current population=7.2 billion people

Total calories the entire population produces=(7.2 billion×3000)

1000 kilo-calories causes= 1 pollution unit

To get the impact of the entire population=(7.2 billion×3000)/1000=21.6 billion pollution units per day

8 0

3 years ago