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3 years ago

Real talk shhhh

Mathematics

1 answer:

abruzzese [7]3 years ago

3 0

Answer:

15. 8

Step-by-step explanation:

The man and the son form similar triangles, so the lengths of corresponding sides of the triangles are proportional.

6/8 = x/4

8x = 24

x = 24/8

x = 3

Answer: 3

Question 15

Triangles SCA and STR are similar, so the lengths of corresponding sides are in proportion.

SA + AR = SR

SA + 3 = 9

SA = 6

SA/SR = SC/ST

6/9 = SC/12

2/3 = SC/12

3SC = 2 * 12

3SC = 24

SC = 8

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5 * 3/5 i need help please

kompoz [17]

Answer:

Step-by-step explanation:

Order of operations.

5*3/5 is basically the same as 5 times 3 divided by 5. If you are multiplying 5 by 3, and then dividing that same number from the answer, which is 5, then you will get the same number you multiplied by, or 3.

6 0

3 years ago

Given the function () = $

elena-s [515]

The inverse of the function f(x) = 1/3x^2 - 3x + 5 is f-1(x) = 9/2 + √[3(x + 7/4)], the sum of the arithmetic series is 1078 and the common ratio of the sequence is 2

<h3>The inverse of the function?</h3>

The function is given as:

f(x) = 1/3x^2 - 3x + 5

Next, we rewrite the function as in vertex form

Using a graphing calculator, the vertex form of the function f(x) = 1/3x^2 - 3x + 5 is

f(x) = 1/3(x - 9/2)^2 - 7/4

Express f(x) as y

y = 1/3(x - 9/2)^2 - 7/4

Swap x and y

x = 1/3(y - 9/2)^2 - 7/4

Add 7/4 to both sides

1/3(y - 9/2)^2 = x + 7/4

Multiply through by 3

(y - 9/2)^2 = 3(x + 7/4)

Take the square root of both sides

y - 9/2 = √[3(x + 7/4)]

Add 9/2 to both sides

y = 9/2 + √[3(x + 7/4)]

Rewrite as an inverse function

f-1(x) = 9/2 + √[3(x + 7/4)]

<h3>Sum of arithmetic series</h3>

Here, we have:

5 + 18 + 31 + 44 + ... 161

Calculate the number of terms using:

L = a + (n -1)d

So, we have:

161 = 5 + (n - 1) * 13

This gives

(n - 1) * 13 = 156

Divide by 13

n - 1 = 12

Add 1

n = 13

The sum is then calculated as:

Sn = n/2 * [a + L]

This gives

Sn =13/2 * (5 + 161)

Evaluate

Sn = 1078

Hence, the sum of the arithmetic series is 1078

<h3>The common ratio of the sequence</h3>

Here, we have:

T11 = 32 * T6

The nth term of a geometric sequence is

Tn = ar^(n-1)

This gives

ar^10 = 32 * ar^5

Divide by ar^5

r^5 = 32

Take the fifth root

r = 2

Hence, the common ratio of the sequence is 2

Read more about sequence at:

brainly.com/question/7882626

#SPJ1

6 0

2 years ago

Express 36 mins as a fraction of an hour

Oxana [17]

Answer:

36/60

Step-by-step explanation:

There are 60 minutes in an hour

7 0

2 years ago

Someone please help quickly :(

postnew [5]

O wholes
8 columns/ rows
3 small squares

8 0

3 years ago

Read 2 more answers

In how many ways can a

Tomtit [17]

Answer:

The answer is 364. There are 364 ways of choosing a recorder, a facilitator and a questioner froma club containing 14 members.

This is a Combination problem.

Combination is a branch of mathematics that deals with the problem relating to the number of iterations which allows one to select a sample of elements which we can term "<em>r</em>" from a collection or a group of distinct objects which we can name "<em>n</em>". The rules here are that replacements are not allowed and sample elements may be chosen in any order.

Step-by-step explanation:

Step I

The formula is given as

$C (n,r) = \frac{n}{r} = \frac{n!}{(r!(n-r)!)}$