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makkiz [27]
2 years ago
12

Student Name:

Mathematics
1 answer:
Katena32 [7]2 years ago
5 0

The fourth proportionals are bc/a and st/r

<h3>How to determine the fourth proportional?</h3>

<u>Segments a, b and c</u>

Let the fourth segment be x.

So, we have the following equivalent ratio

a : b = c : x

Express as fraction

a/b = c/x

Make x the subject

x = bc/a

<u>Segments r, s and t</u>

Let the fourth segment be x.

So, we have the following equivalent ratio

r : s = t : x

Express as fraction

r/s = t/x

Make x the subject

x = st/r

Hence, the fourth proportionals are bc/a and st/r

Read more about proportions at:

brainly.com/question/1781657

#SPJ1

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There are 10 multiple choice questions in an examination. first 4 have 5 choices each and remaining have 4 choices each. how man
stira [4]

2560000 sequences of answers are possible.

<em><u>Explanation</u></em>

Total number of questions = 10

First 4 questions have 5 choices each and remaining (10-4)= 6 questions have 4 choices each.

So, the possible sequences of answers for first 4 questions = 5^4 = 625

and the possible sequences of answers for remaining 6 questions = 4^6=4096

Thus, the total possible number of sequences of answers = (625 × 4096) = 2560000

5 0
3 years ago
Read 2 more answers
June mad 10 origami birds in 30 minutes Dylan made 4 origami birds in 10 minutes who was faster
Hitman42 [59]

Answer:

Dylan

Step-by-step explanation:

Rate of Origami Making

1) June

= 10/30

= 1/3 origami birds per minute

2) Dylan

= 4/10

= 2/5 origami birds per minute

2/5 > 1/3

So Dylan was faster.

8 0
2 years ago
Pls helppppp 25 pt and brainiest for whoever answers it right.
defon
<h3><u>Given</u><u>:</u><u>-</u></h3>

  • Perimeter of parallelogram = 66 ft

  • One side,a = 3x + 1

  • Other side,b = 2x - 3

<h3><u>To</u><u> </u><u>find</u><u> </u><u>out</u><u>:</u><u>-</u></h3>

Find the longest side of a parallelogram.

<h3><u>Formula</u><u> </u><u>used</u><u>:</u><u>-</u></h3>

Perimeter of parallelogram = 2 ( a + b )

<h3><u>Solution:-</u><u> </u></h3>

We know that,

Perimeter of parallelogram = 2 ( a + b )

★ Substituting the values in the above formula,we get:

⇒ 66 = 2 ( 3x + 1 + 2x - 3 )

⇒ 66 = 2 ( 5x - 2 )

⇒ 66/2 = 5x - 2

⇒ 33 = 5x - 2

⇒ 5x - 2 = 33

⇒ 5x = 33 + 2

⇒ 5x = 35

⇒ x = 35/5

⇒ x = 7 ft

Now,

One side,a = 3x + 1

★ Putting the value of x

⇒ 3 × 7 + 1

⇒ 21 + 1

⇒ 22 ft

Other side,b = 2x - 3

★ Putting the value of x

⇒ 2 × 7 - 3

⇒ 14 - 3

⇒ 11 ft

Hence,the longest Side of given parallelogram is 22 ft ( 3x + 1 ) .

7 0
3 years ago
1) The deer population in a national park is expected to decline over time. The park
Lorico [155]

Answer:

Here's what I find.

Step-by-step explanation:

You have 800 deer at the end of Year 1, and you expect the population to decrease each year thereafter.

a) i) The recursive formula

Let dₙ = the deer population n years after the initial measurement.

d_{n} = d_{n - 1}r^{n}

For this situation,

d_{n} = d_{n - 1}(0.5)^{n}

a) ii) Definitions

n = the number of years from first measurement

r = the common ratio, that is, the deer population at the end of one year divided by the population of the previous year.

a) iii) First term of sequence

The first term of the sequence is d₀, the population when first measured.

b) The function formula

The formula for the nth term of a geometric series is

d_{n} =d_{0}r^{n - 1}

c) Value of d₀

Let n = 2; then d₂ = 800

\begin{array}{rcl}800 & = & d_{0}(0.5)^{2 - 1}\\800 & = & d_{0}(0.5)\\\\d_{0} & = & \dfrac{800}{0.5}\\\\& =&\mathbf{1600}\\\end{array}

4 0
3 years ago
N<br> +2=3<br> 10<br> what is "n"
s2008m [1.1K]

Answer:

n=36

Step-by-step explanation:

I dont know if thats how it was set up but here you go. I hope this helps. (I can change it if thats not how its set up)

3 0
3 years ago
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