Answer:
Option (3)
Step-by-step explanation:
By applying cosine rule in the triangle ABC,
BC² = AC² + AB² - 2(AC)(AB)cosA
5² = 3² + 7²- 2(3)(7)cosA
25 = 9 + 49 - 42cos(A)
25 = 58 - 42cos(A)
cos(A) = 
A = 
A = 38.21°
A ≈ 38°
Option (3) will be the correct option.
Given: <span>f(x) = log3 (x + 1), look for f^-1 (2)
We are looking for the inverse of a function. The inverse of the function can be obtained by switching the variables and obtaining the values of the new function, before substituting f(2). Using a calculator:
</span><span>f^-1 (2) = 8</span>
To answer this question you will use the formula for circumference of a circle to find how far around one revolution is.
C = pi x d
3.14 x 32
C = 100.48 feet
Multiply the distance around one time by 4.3 to get the distance traveled in one revolution and then multiply it by 3 for the 3 minutes.
100.48 x 4.3 x 3 = 1296.19 feet
This is approximate and is closest to answer choice D.
Answer:
D. y = 2x + 1
Step-by-step explanation:
To find the slope, you first have to find the change of y over x, and in this case, you can plainly see that each one is equal to 2. So, that means that the slope is 2. You then can use the slope to find y when x is equal to 0. In this case, y = 1 when x = 0, so that means that the y-intercept is 1. Hence, the final answer is D.
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