Answer: 1. A
2.C
3.D
4.C
5.D
Step-by-step explanation:
Answer:
1) distance travelled = 75mi
time taken = 3 hrs.
speed = distance/time
= 75/3 = 25 mi/hr.
now, if time = 1.6 hrs.
Distance = speed x time
= 25 x 1.6 = 40.0 mi
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2) earning for 8 hrs. of work = $120.
therefore, rate of earning per hr. = 120/8 = $15/hr.
so, earning in 11 hrs. = 15 x 11 = $165
Step-by-step explanation:
cot x + 2 tan x + tan³ x
Write in terms of sine and cosine:
(cos x / sin x) + 2 (sin x / cos x) + (sin³ x / cos³ x)
Find the common denominator:
(cos⁴ x / (sin x cos³ x) + 2 (sin² x cos² x / (sin x cos³ x)) + (sin⁴ x / (sin x cos³ x))
Add:
(cos⁴ x + 2 sin² x cos² x + sin⁴ x) / (sin x cos³ x)
Factor:
(sin² x + cos² x)² / (sin x cos³ x)
Pythagorean identity:
1 / (sin x cos³ x)
Multiply top and bottom by cos x:
cos x / (sin x cos⁴ x)
Simplify:
cot x sec⁴ x
The answer is 46. All equal to 46%
Answer:
A.
Step-by-step explanation:
Rotations preserve shape <u>and</u> size, but a dilation with a factor of 3, no matter where in the sequence of transformations it is, results in a shape 3 times larger. So rotation followed by the dilation will end up being a rectangle similar to the original but 3 times its size.
