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3 years ago

Can someone answer this please?

Mathematics

2 answers:

OLEGan [10]3 years ago

7 0

Answer:

m<BAC = 29 degrees

m<BOC = 58 degrees

Step-by-step explanation:

<BAC, <BDC, and <BOC share the same arc.

<BAC and <BDC are inscribed angles, and will have the same angle measure, 29 degrees.

<BAC and <BDC are inscribed angles, so their measure is 1/2 of the measure of the arc.

The measure of arc BC is 58 degrees.

<BOC is a central angle. The angle measure of a central angle is equal to the measure of the arc.

The measure of <BOC is 58 degrees.

koban [17]3 years ago

5 0

Step-by-step explanation:

BDC = BAC

BAC = 29°

BOC = 2BDC

= 2×29

= 58°

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15, 11, 7, 3, -1, ... explicit formula and recursive formula

monitta

Recursive formula is: $a_n = a_{n-1} -4$

Explicit formula is: $a_n = 19-4n$

Step-by-step explanation:

Given sequence is:

15,11,7,3,-1

Here

$a_1 = 15\\a_2 = 11\\a_3 = 7$

First of all, we have to find the common difference

Common difference is the difference between consecutive terms of an arithmetic sequence

So,

$d = a_2-a_1 = 11-15 = -4\\d = a_3-a_2 = 7-11 = -4$

Recursive Formula:

A recursive formula is used to find the next term of an arithmetic sequence using previous term and common difference

General form of recursive formula for a given common difference d is:

$a_n = a_{n-1} + d$

Putting the value of d

$a_n = a_{n-1} -4$

Explicit Formula:

The explicit formula is given by:

$a_n = a_1 + (n-1)d$

Putting the first term and common difference

$a_n = 15 + (n-1)(-4)\\a_n = 15 -4n+4\\a_n = 19-4n$

Hence,

Recursive formula is: $a_n = a_{n-1} -4$

Explicit formula is: $a_n = 19-4n$

Keywords: Arithmetic sequence, common difference

Learn more about arithmetic sequence at:

#LearnwithBrainly

4 0

4 years ago

Give the slope-intercept form of the equation of the line that is perpendicular to 7x + 3y = 18 and contains P(6, 8).

Olegator [25]

Rearrange the equation into slope intercept form

7x+3y=18

3y=-7x+18

y=-7x/3+18/3 so the slope of the reference line is -7/3

To be perpendicular to this line the slope must be the negative reciprocal of this...mathematically m1*m2=-1. So the slope of our perpendicular line is:

-7m/3=-1

-7m=-3

m=3/7 so our line so far is:

y=3x/7+b, using point (6,8) we can solve for b, the y-intercept

8=3(6)/7+b

8=18/7+b

56/7-18/7=b

38/7=b so our line is:

y=3x/7+38/7 or if you prefer

y=(3x+38)/7

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3 years ago

The map scale on a map is 1/4 inch represents 300 miles. If the distance measured between two cities on the map is 3 inches, wha

slavikrds [6]

Answer:3600 miles

Step-by-step explanation:

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