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xeze [42]
3 years ago
10

A central angle in a circle has a measure of 180°. The length of the arc it intercepts is 8 in.

Mathematics
1 answer:
harkovskaia [24]3 years ago
7 0
I also need help with this
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Reverse the two digits of my age, divide by three, add 20, and the result is my age. How many years old am I
lapo4ka [179]

Answer:

  • 48 years old.

Step-by-step explanation:

Let the age be xy or 10x + y.

Reverse the two digits of my age, divide by three, add 20, and the result is my age, convert this to equation:

  • (10y + x)/3 + 20 = 10x + y
  • (10y + x)/3 = 10x + y - 20
  • 10y + x = 3(10x + y - 20)
  • 10y + x = 30x + 3y - 60
  • 30x - x + 3y - 10y = 60
  • 29x - 7y = 60

We should consider both x and y are between 1 and 9 since both the age and its reverse are 2-digit numbers.

Possible options for x are:

  • 29x ≥ 7*1 + 60 = 67 ⇒ x > 2, at minimum value of y,

and

  • 29x ≤ 7*9 + 60 = 123 ⇒ x < 5, at maximum value of y.

So x can be 3 or 4.

<h3>If x = 3</h3>

  • 29*3 - 7y = 60
  • 87 - 7y = 60
  • 7y = 27
  • y = 27/7, discarded as fraction.

<h3>If x = 4</h3>

  • 29*4 - 7y = 60
  • 116 - 7y = 60
  • 7y = 56
  • y = 8

So the age is 48.

6 0
1 year ago
How do you find compound interest and simple interest?
Goshia [24]
Step 1: Multiply the Principal, which is the amount borrowed, by the interest rate.

Step 2: Compute compound interest using the following formula: A= P(1+r/n)

Hope this helps u

6 0
3 years ago
A farmer builds a fence to enclose a rectangular pasture.He uses 160 feet of fence. Find the total area if the pasture is 50 fee
Sergeeva-Olga [200]
2L +2W=160
100+ 2W=160
subtract 100 from each side
2W=60
divide by two each side
W=30 
use the formula L×W=Area or 50×30 which equals 150 the are of the pasture is 150 feet²
3 0
3 years ago
Please help ASAP due in 5 days! Marking Brainliest!
icang [17]
  • Answer:
  • Answer:I only now one 7:17
  • Answer:I only now one 7:17Step-by-step explanation:
8 0
2 years ago
Explain the distance formula. Then use it to calculate the
Alex777 [14]

Answer:

dAB=10\ units

Step-by-step explanation:

we know that

The <u>distance formula</u> is derived by creating a triangle and using the Pythagorean theorem to find the length of the hypotenuse. The hypotenuse of the triangle is the distance between the two points

The formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

A(1, 1) and B(7, −7)

Let

(x1,y1)=A(1, 1)

(x2,y2)=B(7, −7)

substitute the given values in the formula

dAB=\sqrt{(-7-1)^{2}+(7-1)^{2}}

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

dAB=\sqrt{64+36}

dAB=\sqrt{100}

dAB=10\ units

6 0
3 years ago
Read 2 more answers
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