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Yanka [14]
4 years ago
12

Solve 4 1/4 - 2 11/20

Mathematics
2 answers:
BlackZzzverrR [31]4 years ago
8 0
This could be solved as a group of mixed numbers, but I like to work with improper fractions more.
17/4 - 51/20
Next, you need to find a common denominator.
85/20 -51/20
When adding and subtracting fractions, you only work in the numerator, and the denominator stays the same.
34/20
Then, you just simplify.
Improper fraction: 17/10
Mixed number: 1 7/10
Decimal: 1.7
AysviL [449]4 years ago
6 0
4\frac{1}{4} - 2\frac{11}{20}
Change them into improper fractions by multiplying the denominator(bottom) by the whole number then adding the numerator
\frac{17}{4} - \frac{51}{20}
You must have a common denominator
Multiply \frac{17}{4} by \frac{5}{5}⇒\frac{85}{20}
\frac{85}{20}-\frac{51}{20}=\frac{34}{20}
Simplify by dividing the numerator by the denominator
34÷20=1\frac{14}{20}⇒1 \frac{7}{10} reduced
You answer is 1 \frac{7}{10}
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3 years ago
Determine the number of possible solutions for a triangle with A= 30 a=20 and b=16
Bess [88]
The answer is: Two possible solutions which are (0.53, 37.19)

Explanation:

Given:
A = 30° 
<span>a = 20 </span>
<span>b = 16 </span>

Now use the law of Cosines:
a² = b² + c² - 2bc*cos(A)

Plug in the values:

20² = 16² + c² - (2*(16)*c*cos(30))
<span>400 = 256 + c² - 32c(0.866) </span>
<span>400 = 256 + c² - 27.71c </span>
<span>c² - 27.71c = 400 - 256 </span>
<span>c² - 27.71c = 144 </span>
<span>c² - 27.71c + 191.96 = 144 + 191.96 </span>
<span>(c - 18.86)² = 335.96 </span>
<span>c - 18.86 = √336.95 </span>
<span>c - 18.86 = ± 18.33 </span>
<span>c = 18.86 ± 18.33 </span>

<span>If c = 18.86 + 18.33, then </span><span>c = 37.19 </span>

<span>If c = 18.86 - 18.33, then </span><span>c = 0.53 </span>

<span>c = (0.53, 37.19) Two solutions!</span>
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3 years ago
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