5.25
%
Convert the percentage to a fraction by placing the expression over
100
100
. Percentage means 'out of
100
100
'.
5.25
100
5.25
100
Convert the decimal number to a fraction by shifting the decimal point in both the numerator and denominator. Since there are
2
2
numbers to the right of the decimal point, move the decimal point
2
2
places to the right.
525
10000
525
10000
Reduce the expression by cancelling the common factors.
Factor
25
25
out of
10000
10000
.
25
⋅
21
25
⋅
400
25
⋅
21
25
⋅
400
Cancel the common factor.
25
⋅
21
25
⋅
400
25
⋅
21
25
⋅
400
Rewrite the expression.
21
400
21
400
Convert the fraction to a decimal by dividing the numerator by the denominator.
0.0525
0.0525
Hope that help! :)
Answer:
x = 41.81°, 138.19°, 210°, 330°
Explanation:
3cos(2x) + sin(x) = 1
subtract one from both sides
→ 3cos(2x) + sin(x) − 1 = 0
rewrite using trigonometry identities
→ 2 + sin(x) − 6sin²(x) = 0
solve x by substitution
f(x) = 2 + sin(x) − 6sin²(x)
= 2 + 4sin(x) - 3sin(x) − 6sin²(x)
= −2sinx(3sinx −2) − (3sinx−2)
= (3sinx −2)(−2sinx−1)
= −(3sinx −2)(2sinx+1)
f(x) = 2 + sin(x) − 6sin²(x) = 0
= −(3sinx −2)(2sinx+1) = 0
(3sinx −2) = 0 (2sinx+1) = 0
→sinx = 2/3 →sinx = −1/2
x = 41.81°, 138.19° x = 210°, 330°
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Answer:
18
Step-by-step explanation:
parallel lines cut by a transversal are proportional, thus we can set up a ratio to solve for the missing value
7/14 = 9/x
7x = 126
x = 18
Answer:
2/6 so the last box
Step-by-step explanation:
2/3 divided into 2 pieces equals 2/6 because thirds are two times the size as sixths.