Answer:
i think the answer should be 16
Answer:
7 groups
Step-by-step explanation:
1 hour = 60 minutes
3/4 of an hour = 3/4(60) = 45 minutes
therefore, 1 3/4 hours is 105 minutes
105 divided by 15 is 7
Answer:
a) the product is equal to 953.
b) the product is greater than 443.
c) the product is greater than 181.
Step-by-step explanation:
a) 953 × 63/63 = 953
Therefore, the product is equal to 953.
b) 443 × 86/79 = 482.25
Therefore, the product is greater than 443.
c) 181 × 30/28 = 193.93
Therefore, the product is greater than 181.
Hope this helps =)
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