Answer:
0.005
Step-by-step explanation:
To change a percent to a decimal move the decimal point two places to the left.
Please mark the brainliest
Answer:
2:3=14:21
Step-by-step explanation:
2+2=5
35/5=7
7*2=14
7*3=21
solving proportions is simply a matter of stating the ratios as fractions, setting the two fractions equal to each other, cross-multiplying, and solving the resulting equation. You'll probably start out by just solving proportions, like this:
<span><span><span>Find the unknown value in the proportion: </span><span>2 : x = 3 : 9.</span></span><span>2<span> :</span> x = 3<span> :</span> 9</span>First, I convert the colon-based odds-notation ratios to fractional form:.Then I solve the proportion:<span>
</span><span>9(2) = </span><span>x(3)</span> <span>
1</span><span>8 = 3x</span><span>
</span><span>6 = x</span></span><span><span><span>Find the unknown value in the proportion: </span><span>(2x + 1) : 2 = (x + 2) : 5</span></span><span>(2x + 1)<span> :</span> 2 = (x + 2)<span> :</span> 5</span><span><span> ADVERTISEMENT</span><span> </span></span>First, I convert the colon-based odds-notation ratios to fractional form:Then I solve the proportion:<span>
</span><span>5(2x + 1) = 2(x + 2)</span><span>
</span><span>10x + 5 = 2x + 4</span><span>
</span><span>8x = –1</span><span>
</span><span>x = –1/<span>8</span></span></span>
=> The first expression on the left: (1 + tan²)
we know that tangent = sin/cos
so tan² = sin²/cos²
the expression is <u>(1 + sin²/cos²)</u>
=> The second expression on the left: (1 - sin²)
we know that (sin² + cos²) = 1
subtract sin² from each side,
and we have (1 - sin²) = (<u>cos²)</u>
=> Multiply the massaged form of the two expressions:
(1 + tan²) (1 - sin²) = (<u>1 + sin²/cos²)</u> (<u>cos²)</u> = (cos² + sin²) = <em>1 </em>qed
<u> </u>
