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vagabundo [1.1K]
3 years ago
8

What is expanded form

Mathematics
2 answers:
defon3 years ago
7 0
Adding numbers but from big to small
azamat3 years ago
4 0
It's when you add numbers like this
1348 1000+300+40+8
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What is the circumference of a circle with a diameter of 5 feet? Use 3.14 for pie.
sammy [17]

Answer:

A. 15.7 ft

Step-by-step explanation:

circumference = 2πr

radius= half the diameter 5/2=2.5

2(3.14)(2.5)=15.7 ft

8 0
3 years ago
If the endpoints of the diameter of a circle are (−8, −6) and (−4, −14), what is the standard form equation of the circle?
kondaur [170]

Equation of the circle is (x+6)^{2}+(y+10)^{2}=20.

Solution:

The endpoints of the diameter of a circle are (–8, –6) and (–4, –14).

Center of the circle = Mid point of the diameter

Mid point formula:

$P(x, y)=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)

Here, x_1=-8, y_1=-6, x_2=-4, y_2=-14

$P(x, y) =\left(\frac{-8-4}{2}, \frac{-6-14}{2}\right)

$P(x, y) =\left(\frac{-12}{2}, \frac{-20}{2}\right)

$P(x, y) =(-6, -10)

Center of the circle = (–6, –10)

Radius is the distance between center and any endpoint of the diameter.

To calculate the radius using distance formula.

r=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}

Here, x_1=-6, y_1=-10, x_2=-8, y_2=-6

r=\sqrt{\left(-8-(-6)\right)^{2}+\left(-6-(-10)}\right)^{2}}

r=\sqrt{(-8+6)^{2}+(-6+10)^{2}}

r=\sqrt{(-2)^{2}+(4)^{2}}

r=\sqrt{20} units

The standard form of the equation of a circle is

(x-a)^{2}+(y-b)^{2}=r^{2}, where (a, b) are center and r is the radius.

Here, center = (–6, –10) and r=\sqrt{20}

(x-(-6))^{2}+(y-(-10))^{2}={(\sqrt{20})} ^{2}

(x+6)^{2}+(y+10)^{2}=20

Equation of the circle is (x+6)^{2}+(y+10)^{2}=20.

4 0
3 years ago
What is 66 tens - 30 tens
jek_recluse [69]

Answer:

66

-30

___

36

Step-by-step explanation:

The answer is 36 do 66 minus 36.

4 0
3 years ago
If a new car is valued at $26,000 and 10 years later it is valued at $7000, then what is the average rate of change
frez [133]

Answer:

The change in value is 19,000 altogether and 1900/year

Step-by-step explanation:

Change in value:

initial value - final value

= $26,000 - $7000

= $19,000

Change in value/year:

change in value/time

= $19,000/10

= $1900/year

7 0
2 years ago
Tom has 12 reports to file. If each report takes an average of 45 minutes to file, how long will it take him to file 75% of them
Jobisdone [24]

Alright, lets get started.

One report takes to file an average of = 45 minutes

Means 12 reports takes to file time = 12 * 45 = 540 minutes

12 reports filing total time = 540 minutes

We are asked to find time to file 75 % of them.

Which means 75 % of 540

= 540 * 75/100

= 540 * 0.75

= 405 minutes

We could convert it into hrs dividing with 60.

405 / 60 = 6.75 hrs

Means it will take 6.75 hrs to file 75% of them: Answer

Hope it will help :)

8 0
3 years ago
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