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Pls help with this area question

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

The lateral area of a cylinder is ...

LA = 2πrh

The total area is that added to the areas of the two circular bases:

A = 2πr² +2πrh

We want the ratio of these to be 1/2:

LA/A = (2πrh)/(2πr² +2πrh) = h/(r+h) = 1/2 . . . . cancel factors of 2πr

Multiplying by 2(r+h) gives ...

2h = r+h

h = r . . . . . subtract h

So, the desired ratio is ...

h/r = h/h = 1

The ratio between height and radius is 1.

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On each trial of an experiment, a subject is presented with a constant soft noise, which is interrupted at some unpredictable time by a noticeably louder sound. The time it takes for the subject to react to this louder sound is recorded. The following list contains the reaction times (in milliseconds) for the trials of this experiment: 296, 311, 202, 217, 231, 171, 241, 164, 257, 269, 175, 273, 285, 226, 261 Find 25th and 80th percentiles for these reaction times.
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Kevin plants a total of 72 flower in equal rows. He plants 6 rows of of yellow flowers and 2 rows of red flowers. How any flowers are in each row?

Answers

Answer: 36

Step-by-step explanation: 72/6= 36

72/2= 37

What is the probability that a randomly drawn hand of four cards contains all black cards or all face cards? The probability is 6 Round to four decimal places as needed.)

Answers

Answer: 0.05699

Step-by-step explanation:

The total number of cards in a deck = 52

The total number of black cards = 26

Then , $\text{P(Black)}=(C(26,4))/(C(52,4))=0.00182842367\approx0.00183$

The total number of face cards = 12

Then , $\text{P(Face)}=(C(12,4))/(C(52,4))\approx0.05522$

The number of cards that are black and face cards = 6

Then , $\text{P(Black and Face )}=(C(6,4))/(C(52,4))\approx0.00006$

Then , the probability that a randomly drawn hand of four cards contains all black cards or all face cards is given by :-

$\text{P(Black or Face)}=\text{P(Black)+P(Face)-P(Black and Face)}\n\n\Rightarrow\ \text{P(Black or Face)}=0.00183+0.05522-0.00006\n\n\Rightarrow\ \text{P(Black or Face)}=0.05699$

Morgan is 23 years old. Her grandfather is 4 times as old. How old is her grandfather?

Answers

Answer:

92 years old

Step-by-step explanation:

Multiply 23 by 4

So Morgan's grandfather is 92 years old

Hope this helps :)

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Answer:

Step-by-step explanation:

23x4=92

John drives 257 miles and uses 9 gallons of gas. How many miles per gallon did he get?

Answers

Answer:

29 miles were used per gallon

Step-by-step explanation:

257 / 9 = 28.555..

We can round 28.555 to about 29.

So John got 29 miles per gallon.

If bd = 7x - 10, BC= 4x - 29, and cd
= 5x - 9, find each value

Answers

Answer:

BD = 88

BC = 27

CD = 61

Explanation:

Given that,

BD = 7x - 10

BC= 4x - 29

CD = 5x - 9

Here we assume BD is a line segment and C is a point lies between B & D.

BD = BC + CD

7x - 10 = 4x - 29 + 5x - 9

Now combine like terms

7x - 10 = 4x + 5x - 29 - 9

7x - 10 = 9x - 38

Move 7x from left hand side to right hand side

-10 = 9x - 7x - 38

-10 = 2x - 38

Add 38 both the side

-10 + 38 = 2x - 38 + 38

28 = 2x

Divide by 2 both the side

x = 14

Now put the value of x and find the length of BD, CD, BC

BD = 7x - 10 = 7*14 - 10 = 98 - 10 = 88

BC= 4x - 29 = 4*14 - 29 = 56 - 29 = 27

CD = 5x - 9 = 5*14 - 9 = 61

That's the final answer.

I hope it will help you.

The value of the expression will be:

BD = 88

BC = 27

CD = 61

How to solve the expression

Given that,

BD = 7x - 10

BC= 4x - 29

CD = 5x - 9

Here we assume BD is a line segment and C is a point lies between B & D.

BD = BC + CD

7x - 10 = 4x - 29 + 5x - 9

Now combine like terms

7x - 10 = 4x + 5x - 29 - 9

7x - 10 = 9x - 38

Move 7x from left hand side to right hand side

-10 = 9x - 7x - 38

-10 = 2x - 38

Add 38 both the side

-10 + 38 = 2x - 38 + 38

28 = 2x

Divide by 2 both the side

x = 14

Now put the value of x and find the length of BD, CD, BC

BD = 7x - 10 = 7*14 - 10 = 98 - 10 = 88

BC= 4x - 29 = 4*14 - 29 = 56 - 29 = 27

CD = 5x - 9 = 5*14 - 9 = 61

Learn more about expressions

brainly.com/question/723406

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A Triangle has an angle that measures 137.3 degrees. The other two angles are in a ratio of 3:4. What are the measures of those two angles?

Answers

so we start off by subtracting 137.3 from 180 getting 42.5. If you add the ratios up (3+4) you get 7 and 7 should equal 42.5. thus,

42.5/7= 85/14

(85/14)*3=18.2 or (255/14 to be exact)
(85/14)*4= 24.29 or (170/7 to be exact)

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