Answer:
√5.
Step-by-step explanation:
Tan A = 1/2 means that the right triangle containing angle A has legs of length 1 and 2 units. So the hypotenuse = √(1^2 + 2^2) = √5 (using the Pythagoras theorem). The side opposite to < A = 1 unit and the adjacent side = 2 (as tan = opposite / adjacent).
so cos A = adjacent / hypotenuse = 2/√5.
and sin A = opposite / hypotenuse = 1 / √5
cos A / sin A = 2/√5 / 1/ √5 = 2.
sin A / (1 + cos A) = 1/√5 (1 + 2/ √5)
= 1 / √5 ( (√5 + 2) /√5)
= 1 / (√5 + 2)
So the answer is:
2 + 1 /(√5 + 2).
We can simplify it further by multiplying top and bottom of the fraction by the complement of √5 + 2 which is √5 - 2.
2 + 1 / (√5 + 2)
= 2(√5 + 2) + 1 / (√5 + 2 )
= { 2(√5 + 2) + 1 } / (√5 + 2)
Multiplying this by √5 - 2 / √5 - 2 we get:
(2(5 - 4) + √5 - 2) / (5 -4)
= 2 + √5 - 2 / 1
= √5.
Hi there!
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I believe your answer is:
Option B)
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Here’s why:
- Most options (Second, Third, and Fourth) are in slope intercept form.
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![\boxed{\text{Slope-Intercept Form}}\\\\y=mx + b\\\\\boxed{\text{Key:}}\\\\m - \text{The Slope}\\\\b- \text{The Y-Intercept}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Ctext%7BSlope-Intercept%20Form%7D%7D%5C%5C%5C%5Cy%3Dmx%20%2B%20b%5C%5C%5C%5C%5Cboxed%7B%5Ctext%7BKey%3A%7D%7D%5C%5C%5C%5Cm%20-%20%5Ctext%7BThe%20Slope%7D%5C%5C%5C%5Cb-%20%5Ctext%7BThe%20Y-Intercept%7D)
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- We are looking for the equation where '-5' is in b's place.
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![\boxed{\text{Which equation shows a y-intercept of -5?}}\\\\---------\\\text{A}) -5y = x\\\\\text{This equation in slope-intercept form is }y=\frac{1}{5}x.\\\\\text{The 'b' part is not shown. This means that the line passes through the}\\\text{origin.}\\\\---------\\\\\text{B})\text{ }y = x-5\\\\\text{This option shows a slope of one and a y-intercept of -5.} \\\\\text{Therefore, \boxed{\text{option B is the correct answer.}}}\\\\----------\\\text{Option C has a y-intercept of 5, and Option D has a}\\](https://tex.z-dn.net/?f=%5Cboxed%7B%5Ctext%7BWhich%20equation%20shows%20a%20y-intercept%20of%20-5%3F%7D%7D%5C%5C%5C%5C---------%5C%5C%5Ctext%7BA%7D%29%20-5y%20%3D%20x%5C%5C%5C%5C%5Ctext%7BThis%20equation%20in%20slope-intercept%20form%20is%20%20%7Dy%3D%5Cfrac%7B1%7D%7B5%7Dx.%5C%5C%5C%5C%5Ctext%7BThe%20%27b%27%20part%20is%20not%20shown.%20This%20means%20that%20the%20line%20passes%20through%20the%7D%5C%5C%5Ctext%7Borigin.%7D%5C%5C%5C%5C---------%5C%5C%5C%5C%5Ctext%7BB%7D%29%5Ctext%7B%20%7Dy%20%3D%20x-5%5C%5C%5C%5C%5Ctext%7BThis%20option%20shows%20a%20slope%20of%20one%20and%20a%20y-intercept%20of%20-5.%7D%20%5C%5C%5C%5C%5Ctext%7BTherefore%2C%20%5Cboxed%7B%5Ctext%7Boption%20B%20is%20the%20correct%20answer.%7D%7D%7D%5C%5C%5C%5C----------%5C%5C%5Ctext%7BOption%20C%20has%20a%20y-intercept%20of%205%2C%20and%20Option%20D%20has%20a%7D%5C%5C)
![\text{y-intercept of 1.}](https://tex.z-dn.net/?f=%5Ctext%7By-intercept%20of%201.%7D)
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Hope this helps you. I apologize if it’s incorrect.
Substitute the value of the variable into the expression and simplify 37
Answer:
The answer is A: 1633.13 is the surface area
Hope this help :)
(106727494.81) - 842.944
mark as brainliest please !