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Gekata [30.6K]
3 years ago
7

What would be the third step in simplifying the expression 3 + (9 - 5) 2 ÷ 8?

Mathematics
1 answer:
Julli [10]3 years ago
4 0

Answer:

Third step is divide 8 by 8

Step-by-step explanation:

Ok I'm going to do this step by step

First parenthesis

3+4*2÷8

Then multiply by 2

2+8÷8

Divide 8 by 8

2+1

Add

3

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A circle is circumscribed around a square and another circle is inscribed in the square. If the area of the square is 9 in2, wha
lesantik [10]

Answer:

√2:1

Step-by-step explanation:

First we need to know that the length of the side of the square is equal to the diameter of the inscribed circle i.e

L = di

Given the area of the square to be 9in², we can get the length of the square.

Area of a square = L²

L is the length of the square.

9 = L²

L = √9

L = 3in

Hence the length of one side of the square is 3in

This means that the diameter of the inscribed circle di is also 3in.

Circumference of a circle = π×diameter of the circle(di)

Circumference of inscribed circle = π×3

= 3π in

For the circumscribed circumscribed circle, diameter of the outer circle will be equivalent to the diagonal of the square.

To get the diagonal d0, we will apply the Pythagoras theorem.

d0² = L²+L²

d0² = 3²+3²

d0² = 9+9

d0² = 18

d0 = √18

d0 = √9×√2

d0 = 3√2 in

Hence the diameter of the circumscribed circle (d0) is 3√2 in

Circumference of the circumscribed circle = πd0

= π(3√2)

= 3√2 π in

Hence, ratio of the circumference of the circumscribed circle to the one of the inscribed will be 3√2 π/3π = √2:1

8 0
3 years ago
How can 6.75 + (-10.25) be expressed as the sum of its integer and decimal part
attashe74 [19]
There you go please brainliest thanks!

4 0
3 years ago
What is a line whos slope is -1/4
Ipatiy [6.2K]
Y=-1/4x+5 hope it helps
3 0
3 years ago
Read 2 more answers
Peter took one of his friends out to lunch. The lunches cost $100 plus he
77julia77 [94]

Answer:

Tax = $12 Tip = $18 Total Cost = $130

Step-by-step explanation:

tax = tax percentage x amount

0.12 x 100 = 12

tip = tip percentage x amount

0.18 x 100 = 18

The Total Cost

total cost = cost + tax + tip

100 + 12 + 18

Add them up and it would be

$130

5 0
3 years ago
Jack looks at a clock tower from a distance and determines that the angle of elevation of the top of the tower is 40°. John, who
Margaret [11]

tan(40) = (y + 1.5) / (x + 20)

y + 1.5 = (x + 20)[tan(40)]

y = (x + 20)[tan(40)] - 1.5

tan(60) = (y + 1.5) / x

y + 1.5 = (x)[tan(60)]

y = (x)[tan(60)] - 1.5

(x)[tan(60)] - 1.5 = (x + 20)[tan(40)] - 1.5

(x)[tan(60)] = (x + 20)[tan(40)]

(x)[tan(60)] = (x)[tan(40)] + (20)[tan(40)]

(x)[tan(60)] - (x)[tan(40)] = (20)[tan(40)]

(x)[tan(60) - tan(40)] = (20)[tan(40)]

x = [(20)(tan(40))] / [tan(60) - tan(40)]

x = 18.8 meters

6 0
3 years ago
Read 2 more answers
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