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3 years ago

Please help!! ill give brainliest!!

Mathematics

2 answers:

PIT_PIT [208]3 years ago

7 0

Answer:

a) 102°

Step-by-step explanation:

the central angle and its intercepted arc have the same measure

motikmotik3 years ago

3 0

I also say it’s 102 for the answer

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10. An arithmetic sequence has this recursive formula. What is the explicit formula?

Mrrafil [7]

Answer:

$a_{n}=45-3n$

Step-by-step explanation:

Method 1:

Arithmetic sequence is in the form

$a_{n} =a_{1} +(n-1)d\\$

d is the common difference, can be found by:

$d=a_{n}-a_{n-1}=-3$

Subtituting the $a_{1}$ and $d$

You get:

$a_{n}=42+(-3)(n-1)=45-3n$

Method 2 (Mathematical induction):

Assume it is in form $a_{n}=45-3n$

Base step: $a_{1} =45-3(1)=42$

Inducive hypophesis: $a_{n}=45-3n$

GIven: $a_{n+1} =a_{n}-3$

$a_{n+1}=45-3n-3=45-3(n+1)$

Proved by mathematical induction

$a_{n}=45-3n$

5 0

3 years ago

Zoe is packaging a gift to send in the mail. A smaller gift box is placed inside a similar yet larger packaging box. The empty s

rjkz [21]

The answer is letter C) 198.264 cubic centimeters

6 0

3 years ago

Read 2 more answers

A first number is nine less than a second. The sum of the numbers is 45. Find the numbers.

oee [108]

Answer:

The first number is 18 and the second number is 27.

Step-by-step explanation:

Given:

A first number is nine less than a second.

The sum of the numbers is 45.

Now, to find the numbers.

Let the second number be $x.$

And the first number be $x-9.$

The sum of the both numbers is 45.

According to question:

$(x-9)+x=45.$

⇒ $x-9+x=45.$

⇒ $2x-9=45.$

Adding both sides by 9 we get:

⇒ $2x=54.$

Dividing both sides by 2 we get:

⇒ $x=27.$

The second number = 27.

Now, to get the first number we put the value of $x$ :

$x-9$

$=27-9$

$=18.$

Therefore, the first number is 18 and the second number is 27.

4 0

3 years ago

There are 24 boys and 16 girls on the playground. What is the ratio of boys to total number of children on the playground?

Reil [10]

Answer:

6 to 4

Step-by-step explanation:

24/4 = 6 Boys

16/4 = 4 Girls

Boys 6 / Girls 4

5 0

2 years ago

(5 1/6-x)*2 7/10-1 3/14=3 2/7

avanturin [10]

Answer:

3.5

Step-by-step explanation:

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1 year ago