1. You have the following information:
- <span> The square has the same area as a rectangle.
- The dimensions of the rectangle are: 14 mm long and 16 mm wide.
2. You must use the formula for calculate the area of a square, which is shown below:
A=S</span>²
"A" is the area of the square.<span>
"S" is the lenght of the side of the square. (It is important to remember that the sides of a squre have equals lenghts.
3. The square and the rectangle have the same area. Therefore:
Arectangle=(14 mm)(16 mm)
Arectangle=224 mm</span>²
<span>
A=224 mm</span>²
<span>
4. Now, you must substitute the value A=224 mm</span>² into the formula A=S² and clear "S":
<span>
A=S</span>²
<span> S=</span>√A
<span> S=</span>√(224 mm²)
<span> S=15 mm
The answer is: 15 mm
</span>
Answer:
The radius of the circle is 160cm
Step-by-step explanation:
circumference of circle = 2πr
circumference = 320π cm
2πr = 320π
2r = 320
r = 160 cm
Answer:
a) $12
b) $0.17
c) $1.65
Step-by-step explanation:
a) 3 movie tickets cost $36. At this rate, what is the cost per ticket?
3 movie tickets = $36
1 ticket = x
Cross Multiply
3x = $36
x = $36/3
x = $12
Therefore, the cost per ticket = $12
b) 3 ice cream cones cost $.25. At this rate, how much do 2 ice cream cones cost?
3 ice cream cones = $0.25
2 ice cream cones = x
Cross Multiply
3x = 2 × $0.25
3x = $0.50
x = $0.50/3
x = $0.1666666667
Approximately = $0.17
Therefore, the cost of 2 ice cream cones = $0.17
c) 3 bananas cost $0.99. At this rate, how much do 5 bananas cost?
3 bananas = $0.99
5 bananas = x
Cross Multiply
3x = 5 × $0.99
x = 5 × $0.99/3
x = $1.65
Therefore, the cost of 5 bananas = $1.65
Line of slope 4 and y_intercept 1
thus y=4x+1
n=9
Step-by-step explanation:
6^10 = 60466176
6^-4 0.00077160493
60466176 x 0.00077160493 = 46655.9994998
, which is the numerator
6^-5 = 0.00012860082
6^2 = 36
0.00012860082 x 36 = 0.00462962952
46655.9994998 / 0.00462962952 = 10077696
6^9 = 10077696
Therefore, n=9
