Answer:
The sum of two numbers is 25. One of the numbers exceeds the other by 9. Find numbers
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the other number = x + 9
Let the number be x.
Sum of two numbers = 25
According to question, x + x + 9 = 25
⇒ 2x + 9 = 25
⇒ 2x = 25 - 9
⇒ 2x = 16
⇒ 2x/2 = 16/2
⇒ x = 8
Therefore, x + 9 = 8 + 9 = 17
Therefore, the two numbers are 8 and 17.
Answer:
90°
Step-by-step explanation:
x + 37 + 53 = 180 (ANGLE SUM PROPERTY)
x + 90 = 180
x = 180-90
x = <u>90°</u>
Answer:
a.) y=1/3x +3
Step-by-step explanation:
Answer:
See below.
Step-by-step explanation:
Fifth root of 243 = 3,
Suppose r( cos Ф + i sinФ) is the fifth root of 243(cos 240 + i sin 240),
then r^5( cos Ф + i sin Ф )^5 = 243(cos 240 + i sin 240).
Equating equal parts and using de Moivre's theorem:
r^5 =243 and cos 5Ф + i sin 5Ф = cos 240 + i sin 240
r = 3 and 5Ф = 240 +360p so Ф = 48 + 72p
So Ф = 48, 120, 192, 264, 336 for 48 ≤ Ф < 360
So there are 5 distinct solutions given by:
3(cos 48 + i sin 48),
3(cos 120 + i sin 120),
3(cos 192 + i sin 192),
3(cos 264 + i sin 264),
3(cos 336 + i sin 336).. (Answer).
F(t)=262(1.6)^t
Initially the tundra has: f(0)=?
t=0→f(0)=262(1.6)^0
f(0)=262(1)
f(0)=262 caribou
Answer:
Initially, the tundra has 262 caribou, and every 1 year, the number of caribou increases by a factor of 1.6
