What is the approximate area of a circle with a radius of 28 ft?

1) Solve ;

Rashid [163]

Answer:

x ≤ 7/2

Step-by-step explanation:

Expand brackets: 3x - 15 ≤ x - 8

Subtract x from both sides: 2x - 15 ≤ -8

Add 15 to both sides: 2x ≤ 7

Divide both sides by 2: x ≤ 7/2

3 0

2 years ago

Read 2 more answers

Using the numbers -4, 10, 8, 2, -3, -5, write down two expressions that equal 6. You can use any relevant operation. You have to

Valentin [98]

Answer:

$\sf \Bigg[ \frac{ ( - 4 \times ( - 3)) }{2} \Bigg] \: and \: \Bigg[ \frac{ - ( - 5 \times 8)}{10} + 2 \Bigg]$

Step-by-step explanation:

Given:

$The \: numbers \rightarrow -4, 10, 8, 2, -3, -5$

To find:

Two expressions that equal 6 using the given numbers

Solution:

Expression first,

Using numbers -4, 2, -3,

aligning the above numbers as,

$\frac{ ( - 4 \times ( - 3)) }{2}$

will out put 6.

Verification,

$\frac{ ( - 4 \times ( - 3)) }{2} = \frac{12}{2} = \cancel\frac{12}{2} = 6$

Expression second,

Using numbers 10,8,2,-5

aligning the above numbers as,

$\frac{ - ( - 5 \times 8)}{10} + 2$

will result 6.

Verification

$\frac{ - ( - 5 \times 8)}{10} + 2 = \frac{ 40}{10} + 2 \\ \\ \frac{ - ( - 5 \times 8)}{10} + 2= 4 + 2 \\ \\\frac{ - ( - 5 \times 8)}{10} + 2 = 6$

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5 0

1 year ago

Answer this please it’s for algebra 2

Sergeu [11.5K]

Part a)

P(junior) = (number of juniors)/(number total)

P(junior) = 235/705

P(junior) = 1/3 exactly

P(junior) = 0.33333 approximately

======================================

Part b)

P(freshman and LG) = (number of freshman who have LG)/(number total)

P(freshman and LG) = 70/705

P(freshman and LG) = 14/141 exactly

P(freshman and LG) = 0.09929 approximately

======================================

Part c)

n(junior) = number of juniors = 235

n(samsung) = number of people who have samsung = 274

n(junior and samsung) = number of juniors who have samsung = 93

----

n(junior or samsung) = n(junior)+n(samsung)-n(junior and samsung)

n(junior or samsung) = 235+274-93

n(junior or samsung) = 416

----

P(junior or samsung) = n(junior or samsung)/n(total)

P(junior or samsung) = 416/705 exactly

P(junior or samsung) = 0.59007 approximately

======================================

Part d)

n(sophomore and apple) = number of sophomores who have apple

n(sophomore and apple) = 80

n(apple) = number of students who have apple

n(apple) = 261

P(sophomore | apple) = n(sophomore and apple)/n(apple)

P(sophomore | apple) = 80/261 exactly

P(sophomore | apple) = 0.30651 approximately

======================================

Part e)

define the events

A = junior who has apple

B = junior who has samsung

C = person is a junior

n(A or B) = number of juniors who have apple or samsung

n(A or B) = n(A) + n(B) ... A and B assumed mutually exclusive

n(A or B) = 87+93

n(A or B) = 180

n(C) = 235

P( (Apple or Samsung) | Junior ) = n(A or B)/n(C)

P( (Apple or Samsung) | Junior ) = 180/235

P( (Apple or Samsung) | Junior ) = 36/47 exactly

P( (Apple or Samsung) | Junior ) = 0.76596 approximately

4 0

3 years ago

Mary ran 3.45 miles on Monday, 2.2 miles on Tuesday, 0.055 miles on Wednesday, and 9.03 miles on Thursday. How many total miles

Nata [24]

Well all you need to do is add them so 3.45 + 2.2 = 5.65 then add 0.055 to 5.65 which is 5.705 and last but not least, add 9.03 to 5.705 which is 14.735 which makes 14.735 how many miles she ran. Hope this helps

4 0

2 years ago

The number of cubic units in the volume of a sphere is equal to the number of square units in the surface area of the sphere. Wh

viktelen [127]

Answer:

Radius of sphere is 3 units.

Step-by-step explanation:

Volume of sphere is given by $4/3 \pi r^3$

surface area of sphere is given by $4 \pi r^2$

where r is the radius of the sphere.

Given that

The number of cubic units in the volume of a sphere is equal to the number of square units in the surface area of the sphere.

we equate formula of Volume of sphere and surface area of sphere

assuming r as the radius.

thus,

$4/3 \pi r^3 = 4 \pi r^2\\\\4/3 \pi r^3/ 4 \pi r^2 = 1\\=>r/3 = 1\\=> r = 3$

Thus, radius of sphere is 3 units.

5 0

2 years ago