(x-center)^2+(y-center)^2=r^2
x^2+y^2=r^2
(5)^2+(-12)^2=r^2
25+144=r^2
169=r^2
r=13
Answer:
5) 35 / 100 = X / 74 X = 2590 / 100 = 25.9
or .35 * 74 = 25.9
6) 78 / 95 = X * 100
X = 7800 / 95 = 82.1 %
or X = 78/95 * 100 = 82.1 %
7) 60/100 * X = 28
X = 2800 / 60 = 46.7
Or .6 * X = 28
X = .28 / .6 = 46.7
Solutions
1) The first step is to find the Least Common Denominator (LCD) of <span>3/8,1/8,1/3,1/4
</span>⇒ Start Listing Multiples
List out all multiples of each denominator, and find the first common one.
8: <span><span>8,16,24</span>
</span>
8 : <span>8,16,24
</span>
3 : <span>3,6,9,12,15,18,21,24
</span>
4 : <span><span>4,8,12,16,20,24</span>
</span>
Therefore, the LCD is <span>24
</span>⇒ By Prime Factors
List all prime factors of each denominator, and find the union of these primes.
8 : <span>2,2,2</span>
8 : <span>2,2,2</span>
3 : 3
4 : <span><span>2,2</span>
</span>
Therefore, the LCD is <span>2×2×2×3=24
</span>Make the denominators the same as the LCD
<span><span><span>3×3 / </span><span>8×3 </span></span>+<span><span>1×3 / </span><span>8×3 </span></span>−<span><span>1×8 / </span><span>3×8 </span></span>+<span><span>1×6 / </span><span>4×6
</span></span></span>Simplify. Denominators are now the same
<span><span>9 / 24</span>+<span>3 / 24</span>−<span>8 / 24</span>+<span>6 / 24
</span></span>Join all the denominators
<span><span>9+3−8+6 / </span>24
</span>Simplify
<span>10 / 24
</span>Simplify fraction 10 / <span>24</span>
<span>5 / 12</span>
startfraction 1.55 over 1 endfraction is x = 1.55
<h3>
What is ratio?</h3>
A ratio in mathematics shows how many times one number is included in another. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six (that is, 8:6, which is identical to the ratio 4:3). (i.e., 8:6, which is identical to 4:3). The ratio of oranges to the overall amount of fruit is 8:14, while the ratio of lemons to oranges is 6:8 (or 3:4). (or 4:7). (or 4:7). A ratio can have any number of values, such as counts of people or things or measures of length, weight, time, etc. In most cases, both numbers must be positive.
EXPLANATION:
Sadly, we are unable to view the list of equations from which you can choose. But if we assume that x Equals the cost of 3.5 kg of grapes, we can construct the following equation
1/1.55 = 3.5/x
x = 1.55
To know more about ratio, visit;
brainly.com/question/13419413
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<span>m∠A = 40°
m∠B = 60°
m∠C = ?
There are 180 degrees in a triangle (not right) so you subtract both numbers by 180.
180degrees - 40 degrees - 60 degrees = 80 degrees</span>
