For this case we must find an expression to find 40% of 25. So, we make a rule of three:
25 -----------> 100%
x -------------> 40%
Where "x" represents the amount that determines 40% of 25.
40% of 25 is 10. And an expression to find it is:
Answer:
X = tan (330) - sin (330)
x = 0.133557089 - -0.132381629
x = 0.133557089 + 0.132381629
x = 0.265938718
Answer:
Radius= 2r
Step-by-step explanation:
Surface area of hemisphere
=2 x 22/7 x (2r)^2
=44/7 x 4 r^2
=174/7 r^2
=25.14 r^2
A ratio shows us the number of times a number contains another number. The ratio of the volume of the model to the volume of the original is 27/2744.
<h3>What is a Ratio?</h3>
A ratio shows us the number of times a number contains another number.
Given that the scale factor is 3:14. Therefore, the ratios can be written as,
(a) The ratio of the surface area of the model to the surface area of the original is,
Surface area Ratio = (3/14)² = 9/196
(b) The ratio of the volume of the model to the volume of the original.
Volume Ratio = (3/14)³ = 27/2744
(c) The ratio of the width of the model to the width of the original.
Width Ratio = 3/14
Learn more about Ratios:
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Answer:
√2(√3 - 1)/4
Step-by-step explanation:
To find an exact value for Cos75°, we use the compound angle formula. Since 75° = 45° + 30°, Cos75° = Cos(45° + 30°).
Using Cos(A + B) = CosACosB - SinASinB where A = 45° and B = 30°,
Cos75° = Cos(45° + 30°) = Cos45°Cos30° - Sin45°Sin30°
Now Cos45° = Sin45° = 1/√2 = √2/2, Cos30° = √3/2 and Sin30° = 1/2.
Substituting these values into the above equation, we have
Cos75° = Cos(45° + 30°)
= Cos45°Cos30° - Sin45°Sin30°
= √2/2 × √3/2 - √2/2 × 1/2
= √6/4 -√2/4
= √2(√3 - 1)/4
