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3 years ago

Garth estimated the height of the door to his classroom in meters .What is a reasonable estimate?

Mathematics

2 answers:

Paraphin [41]3 years ago

6 0

The most reasonable answer would be 2 meters since two meters equals about 6 feet.

san4es73 [151]3 years ago

6 0

Solution:

The three units of measurement that we use in day to day life is ,Centimeter, Meter and Kilometer.

Centimeter being the smallest, and Kilometer largest when comparison is made between three.

1 meter= 100 cm

1 kilometer= 1000 meter= 100000 centimeter

If we measure the height of Door of classroom in centimeters suppose it is approximately 223 cm, it is better to convert it into a better unit of measurement which is higher than centimeter ,as 100 cm is equal to a meter. So, instead of writing 223 cm it is better to write 2.23 m, neither 0.223 Km.So, if the number lies between 100 cm ≤number <100,000 cm, convert it into meters by dividing the number by 100, which is best units of measurement.

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The boston celtics have won 16 nba championships over approximately 50 years. Thus it may seem reasonable to assume that in a gi

Nutka1998 [239]

We have been given that The boston celtics have won 16 nba championships over approximately 50 years. Therefore, it can be concluded that in any given year the probability of celtics winning the title will be p = 16/50 = 0.32

For Celtics to win eight straight championships in 1959, we will be required to multiply the probability of winning championship in one year to itself 8 times.

Therefore, the required probability is:

$0.32^{8}=0.0001099511627776$

Therefore, the required probability is almost 0.00011.

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3 years ago

Calculate pt3 such that a line from pt1 to pt3 is perpendicular to the line from pt1 to pt2, and the distance between pt1 and pt

Leni [432]

Let the point_1 = p₁ = (1,4)
and      point_2 = p₂ = (-2,1)
and      Point_3 = p₃ = (x,y)

The line from point_1 to point_2 is L₁ and has slope = m₁
The line from point_1 to point_3 is L₂ and has slope = m₂
m₁ = Δy/Δx = (1-4)/(-2-1) = 1
m₂ = Δy/Δx = (y-4)/(x-1)
L₁⊥L₂ ⇒⇒⇒⇒ m₁ * m₂ = -1
∴ (y-4)/(x-1) = -1 ⇒⇒⇒ (y-4)= -(x-1)
(y-4) = (1-x) ⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒ equation (1)

The distance from point_1 to point_2 is d₁
The distance from point_1 to point_3 is d₂
d = $\sqrt{Δx^2+Δy^2}$
d₁ = $\sqrt{(-2-1)^2+(1-4)^2}$
d₂ = $\sqrt{(x-1)^2+(y-4)^2}$
d₁ = d₂
∴ $\sqrt{(-2-1)^2+(1-4)^2} = \sqrt{(x-1)^2+(y-4)^2}$ ⇒⇒ eliminating the root
∴(-2-1)²+(1-4)² = (x-1)²+(y-4)²
(x-1)²+(y-4)² = 18
from equatoin (1) y-4 = 1-x
∴(x-1)²+(1-x)² = 18            ⇒⇒⇒⇒⇒ note: (1-x)² = (x-1)²
2 (x-1)² = 18
(x-1)² = 9
x-1 = $\pm \sqrt{9} = \pm 3$
∴ x = 4 or x = -2
∴ y = 1 or y = 7

Point_3 = (4,1) or (-2,7)

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3 years ago

What is 34 divided by the square root of 5

Margaret [11]

Answer:

15.205

Step-by-step explanation:

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3 years ago

Read 2 more answers

CHOOSE TO ANSWER EITHER QUESTION:

Ugo [173]

Answer:

First one: C. Second One:C.

Step-by-step explanation:

Kate purchased a car for $23,000. It will depreciate by a rate of 12% a year. What is the value of the car in 4 years?

a) $13,935.76

b) $12,874.57

c) $13,792.99

To solve this this is an exponential function. The price started at $23,000 and depreciates at 12% so the equation is f(x) = (23,0000)(1-0.12)^4. When calculated results with 13792.99328 which is C.

A rare coin is currently worth $450. The value of the coin increases 4% each year. Determine the value of the coin after 7 years.

a) $613.98

b) $546.78

c) $592.17

To solve this this is also an exponential function. The price started at $450 and the coin increases 4% each year so the equation is f(x) = (450)(1+0.04)^7. When calculated results with 592.169300656 which is c.

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3 years ago

What are Conic Sections and how are they formed?

sukhopar [10]

Answer:

In mathematics, a conic section is a curve obtained as the intersection of the surface of a cone with a plane. The three types of conic section are the hyperbola, the parabola, and the ellipse; the circle is a special case of the ellipse, though historically it was sometimes called a fourth type.

Conic sections are formed on a plane when that plane slices through the edge of one or both of a pair of right circular cones stacked tip to tip.

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1 year ago