Answer:
The base is 19.5.
Step-by-step explanation:
The given question is, "The perimeter of a rectangle is 58 and its base exceeds its width by 10, how long is the base?"
Perimeter = 58
Base, l = 10+b
The perimeter of a rectangle is :
P = 2(l+b)
58 = 2(10+b+b)
29 = (10+2b)
29-10 = 2b
19 = 2b
b = 9.5
Base, l = 10 + 9.5
= 19.5
Hence, the base is 19.5.
Step-by-step explanation:
(cos 10° − sin 10°) / (cos 10° + sin 10°)
Rewrite 10° as 45° − 35°.
(cos(45° − 35°) − sin(45° − 35°)) / (cos(45° − 35°) + sin(45° − 35°))
Use angle difference formulas.
(cos 45° cos 35° + sin 45° sin 35° − sin 45° cos 35° + cos 45° sin 35°) / (cos 45° cos 35° + sin 45° sin 35° + sin 45° cos 35° − cos 45° sin 35°)
sin 45° = cos 45°, so dividing:
(cos 35° + sin 35° − cos 35° + sin 35°) / (cos 35° + sin 35° + cos 35° − sin 35°)
Combining like terms:
(2 sin 35°) / (2 cos 35°)
Dividing:
tan 35°
Answer:
B
Step-by-step explanation:
The compound interest formula is 
where:
- P is the starting amount called the principle
- r is the rat written as a decimal
- n is the number of times compounded in a year
- t is the number of years
Substitute a value into each variable to solve.
- P = $147 since 10% of 1,470 is being invested which makes P = 0.10(1470) = 147.
- The rate is 3.5% or r = 0.035.
- n = 12 because it is compounded monthly meaning 12 times a year.
- t = 25 since it will earn for 25 years.
Repeat this process for each formula.
Answer:
829839483847234
Step-by-step explanation:
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