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Hoochie [10]
3 years ago
10

Calculate the area of the circle with radius of 4.5 leave Answer in terms of pi

Mathematics
1 answer:
aleksklad [387]3 years ago
8 0
A=pi r^2
= 20.25 pi is the answer
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Determine the point of intersection between the lines with equations x+3y=5 and 3x−2y=26.
Zolol [24]

Answer:

the ans is :

Step-by-step explanation:

First, it would be helpful to draw a quick sketch of the lines. It helps to visualize the problem.

To find the intersection point, we need to find the point where x and y are the same value in both equations.

The line equations:

6x+2y=26 ................... 1

2x+3y=18 ................... 2

Can be rearranged to the common line equation form: y = mx + c

y = 13 - 3x ................... 3

y = 6 - 2/3 x ................. 4

At the intersection point, y will be equal for both equations. So, we can set 3 equal to 4 and solve for x.

13- 3x = 6 - 2/3 x

13 = 6 + 3x - 2/3x ....... add 3x to both sides

13 = 6 + 2 1/3x ........ simplify

7 = 2 1/3 x ........ subtract 13 from both sides

7 = 7/3 x ......... multiply both sides by 3/7

3 = x

To calculate the y-coordinate substitute x = 3 into 3.

y = 13 - 3x

y = 13 - 3(3)

y = 4

To check your answer, substitute the values for x and y into the other equation, 4.

The point of intersection is (3,4).

If you drew a sketch of the problem, you should be able to see that this point of intersection makes sense.

4 0
3 years ago
Read 2 more answers
Combine the like terms to create an equivalent expression.<br> 5n - 2n
ValentinkaMS [17]

Answer:

the answer is 3n

Step-by-step explanation:

correct

3 0
2 years ago
Read 2 more answers
A small company's net income for the first 6 months of the year was $76500 and for the last six months it was $100000. What is t
kati45 [8]

Answer:

The answer is 76500 : 153000

Step-by-step explanation:

You need to times 2

8 0
3 years ago
Which should Bruce include in his list of liabilities? Choose ALL answers that are correct.
Neporo4naja [7]
The answer would be c
4 0
3 years ago
A deck of cards contains RED cards numbered 1,2,3 and BLUE cards numbered 1,2,3,4,5,6. Let R be the event of drawing a red card,
Tatiana [17]

Answer:

e. R′

Step-by-step explanation:

Let the Sample Space be a universal set consisting of 3 red  and 6 blue cards. Then the event of  of getting 4 blue cards will be given

R complement = R` = Universal Set minus Red cards will give blue cards.

a. R OR O

It cannot be this option because we need 4 blue card

b. B AND O

It cannot be this choice as well because 4 is not odd.

c. R OR E

4 is even but we need blue

d. R AND O

Red and odd is again not required

e. R′  = It  will give our required result.

f. E′= 4 is even if it is complemented it cannot be obtained and will be left out.

5 0
3 years ago
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