1.- First symbol
2.- First symbol
3.- First symbol
Answer:
D
Step-by-step explanation:
Using trigonometric ratios in the right triangle
tan45° = 1 and cos45° = ![\frac{1}{\sqrt{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%20%7D)
tan45° =
= ![\frac{b}{7}](https://tex.z-dn.net/?f=%5Cfrac%7Bb%7D%7B7%7D)
Multiply both sides by 7
7 × tan45° = b, that is
b = 7 × 1 = 7
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cos45° =
= ![\frac{7}{a}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7Ba%7D)
Multiply both sides by a
a × cos45° = 7, that is
a ×
= 7
Multiply both sides by ![\sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B2%7D)
a = 7![\sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B2%7D)
Answer:
B
Step-by-step explanation:
I just know it.
Set x equal to the amount of money Kim gets, and y for Molly's money.
x = 2/5y, since the ratio is 2:5.
y = 105 + x, since Molly has 105 more pounds than Kim.
Substitute x into this equation, so that y = 105 + 2/5y. Subtract 2/5y from both sides to get 3/5y = 105. Divide each side by 0.6 (equivalent to 3/5) and you get y = 175, which is how much Molly has. Kim gets 2/5 of Molly's share (or 105 fewer pounds), so she has 70.
70 + 175 (Kim and Molly's shares) is equal to 245. Therefore, Laura receives the remaining 140 pounds.
140/385 = a/100
Cross multiply so that 385a is 14000. Divide by 385 to get 36.4 (rounded).
Thus, Laura receives about 36.4% of the total money. Hope this helps (: