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3 years ago

Find the distance of AB.

Mathematics

1 answer:

kherson [118]3 years ago

8 0

Answer:

Step-by-step explanation:

A ( 2, 2 )

( x1, y1 ) = ( 2, 2 )

Here,

x1 = y1 = 2

B ( - 2, - 2 )

( x2, y2 ) = ( - 2, - 2 )

Here,

x2 = y2 = - 2

Distance formula : -

d = √ ( x2 - x1 )² + ( y2 - y1 )²

AB = √ ( - 2 - 2 )² + ( - 2 - 2 )²

= √ ( - 2 )² + ( - 2 )²

= √ 4 + 4

AB = √8

The value of √8 is 2.828.

Roundoff to nearest 10 is 3.

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Arisa [49]

Answer:

Step-by-step explanation:

The formula of a surface area of a rectangular prism:

$S.A.=2(lw+lh+wh)$

l - length

w - width

h - height

We have l = 15 mm, w = 3 mm, h = 4 mm. Substitute:

$S.A.=2(15\cdot3+15\cdot4+3\cdot4)=2(45+60+12)=2(117)=234$

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3 years ago

A company has two separate offices. One office has a color printer and the other office has a black and white

Vitek1552 [10]

Answer:

the larger of two printers being used to print the payroll for a major corporation requres 40 min. to print the payroll.So the smaller printer's payroll printing rate is

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So the fraction of the payroll that the larger printer did in the 10 minutes

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Step-by-step explanation:

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3 years ago

A plastic storage bin is shaped like a rectangular prism. The height of the bin is 9 inches. The bottom of the bin has an area o

Charra [1.4K]

Answer:

1620in³

Step-by-step explanation:

Volume of a rectangular prism = BH

B is the Base area

H is the height of the prism.

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B = 180in²

H = 9in

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3 years ago

If a coin is tossed three times, find probability of getting

Assoli18 [71]

${\large{\textsf{\textbf{\underline{\underline{Given :}}}}}}$

‣ A coin is tossed three times.

${\large{\textsf{\textbf{\underline{\underline{To \: Find :}}}}}}$

‣ The probability of getting,

1) Exactly 3 tails

2) At most 2 heads

3) At least 2 tails

4) Exactly 2 heads

5) Exactly 3 heads

${\large{\textsf{\textbf{\underline{\underline{Using \: Formula :}}}}}}$

$\star \: \tt P(E)= {\underline{\boxed{\sf{\red{ \dfrac{ Favourable \: outcomes }{Total \: outcomes} }}}}}$

${\large{\textsf{\textbf{\underline{\underline{Solution :}}}}}}$

★ When three coins are tossed,

then the sample space = {HHH, HHT, THH, TTH, HTH, HTT, THT, TTT}

[here H denotes head and T denotes tail]

⇒Total number of outcomes $\tt [ \: n(s) \: ]$ = 8

1) Exactly 3 tails 

Here

• Favourable outcomes = {HHH} = 1

• Total outcomes = 8

$\therefore \sf Probability_{(exactly \: 3 \: tails)} = \red{ \dfrac{1}{8}}$

2) At most 2 heads

[It means there can be two or one or no heads]

Here

• Favourable outcomes = {HHT, THH, HTH, TTH, HTT, THT, TTT} = 7

• Total outcomes = 8

$\therefore \sf Probability_{(at \: most \: 2 \: heads)} = \green{ \dfrac{7}{8}}$

3) At least 2 tails 

[It means there can be two or more tails]

Here

• Favourable outcomes = {TTH, TTT, HTT, THT} = 4

• Total outcomes = 8

$\longrightarrow \sf Probability_{(at \: least \: 2 \: tails)} = \dfrac{4}{8}$

$\therefore \sf Probability_{(at \: least \: 2 \: tails)} = \orange{\dfrac{1}{2}}$

4) Exactly 2 heads 

Here

• Favourable outcomes = {HTH, THH, HHT } = 3

• Total outcomes = 8

$\therefore \sf Probability_{(exactly \: 2 \: heads)} = \pink{ \dfrac{3}{8}}$

5) Exactly 3 heads

Here

• Favourable outcomes = {HHH} = 1

• Total outcomes = 8

$\therefore \sf Probability_{(exactly \: 3 \: heads)} = \purple{ \dfrac{1}{8}}$

$\rule{280pt}{2pt}$

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1 year ago

What is the equivalent property of 7(x+3)

Margarita [4]

Answer:

7x+21

Step-by-step explanation:

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3 years ago