Mathematics, 06.04.2021 19:40 Lena904

2.Michelle is trying to nd a frame for a vinyl record (in the shape of a circle) she has decorated. The record has a radius of 5.5 inches. She has a square frame with a diagonal distance of 15 inches. Will the record t in Michelle’s frame? 3. Corie is painting her barn. She needs to be able to reach up to a height of 20 feet to paint the entire wall. Corie has a ladder that is 11 feet long. She places it 6 feet from the edge of the wall.
If Corie is 5.5 feet tall, will she be able to paint to the top of the wall using the ladder as it is placed? Justify your response.
4.Two ships are traveling from the same dock and leave at the same time. Ship A travels east in a straight line at 45 mph. Ship B travels north in a straight line at 30 mph. Assuming neither boat stops, how far apart are the two ships after 3 hours?

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Answer from: Quest

step-by-step explanation:

coldest temperature they recorded add me europa2433

europa2433

Answer from: Quest

x= 1

step-by-step explanation: convert 5\frac{11}{12}5

to improper fraction. use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

ac+b

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{5\times 12+11}{12}3.25+0.5x+1

5×12+11

2 simplify 5\times 125×12 to 6060

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{60+11}{12}3.25+0.5x+1

60+11

3 simplify 60+1160+11 to 7171

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{71}{12}3.25+0.5x+1

4 simplify \frac{5}{6}x

x to \frac{5x}{6}

3.25+0.5x+1\frac{1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+1

5 convert 1\frac{1}{3}1

to improper fraction. use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

ac+b

3.25+0.5x+\frac{1\times 3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

1×3+1

6 simplify 1\times 31×3 to 33

3.25+0.5x+\frac{3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

3+1

7 simplify 3+13+1 to 44

3.25+0.5x+\frac{4}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

8 simplify 3.25+0.5x+\frac{4}{3}+\frac{5x}{6}3.25+0.5x+

to \frac{13.75}{3}+\frac{4x}{3}

13.75

\frac{13.75}{3}+\frac{4x}{3}=\frac{71}{12}

13.75

9 simplify \frac{13.75}{3}

13.75

to 4.5833334.583333

4.583333+\frac{4x}{3}=\frac{71}{12}4.583333+

10 subtract 4.5833334.583333 from both sides

\frac{4x}{3}=\frac{71}{12}-4.583333

−4.583333

11 simplify \frac{71}{12}-4.583333

−4.583333 to \frac{4}{3}

\frac{4x}{3}=\frac{4}{3}

12 multiply both sides by 33

4x=\frac{4}{3}\times 34x=

×3

13 simplify \frac{4}{3}\times 3

×3 to \frac{12}{3}

4x=\frac{12}{3}4x=

14 simplify \frac{12}{3}

to 44

4x=44x=4

15 divide both sides by 44

x=1

Answer from: Quest

it is 570

step-by-step explanation:

Answer from: Quest

answer: - (a) $a_n=16+6n$

(b) 88 seats

step-by-step explanation:

given: in an auditorium, there are 22 seats in the first row and 28 seats in the second row.

thus first term= $a_1 =22$

second term= $a_2 =28$

the number of seats in a row continues to increase by 6 with each additional row.

⇒d= 6

a) given formula : $a_n=a_1+(n-1)(d)$

$a_n=22+(n-1)6\\\rightarrow\ a_n=22+6n-6\\\rightarrow\ a_n=16+6n$

b) let the number of seats (n) = 12

substitute n=12 in the explicit rule formed in (a)

$a_{12} = 16+6\times12\\\rightarrow\ a_{12}=16+72\\\rightarrow\ a_{12}=88\ seats$

∴there are 88 seats in 12 rows.

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2.Michelle is trying to nd a frame for a vinyl record (in the shape of a circle) she has decorated....

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