Answer:
25.5
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationships between angles and sides and trig functions in a right triangle. Here, the side adjacent and the side opposite the marked angle are also marked. That means the relevant trig relation is ...
Tan = Opposite/Adjacent
tan(49°) = x/(22.2 m)
Multiplying by the denominator, we get ...
x = (22.2 m)tan(49°) ≈ 25.5 m
The unknown side is about 25.5 meters.
Answer:
66.67 in^3
Step-by-step explanation:
volume of a cylinder = nr^2h
Volume of a cone = 1/3(nr^2h)
n = 22/7
r = radius
the volume of a cone is 1/3 that of a cylinder
volume of the cone = 1/3 x (200) = 66.67 in^3
5914 1404 393
Answer:
A) 1.3×10^37 ergs
B) 1.435×10^3 mm
Step-by-step explanation:
A) The amount of energy will be the product of the energy rate and time:
(3.9×10^33 ergs/s)×(3.25×10^3 s) =12.675×10^(33+3) ergs
= 1.2675×10^(1+36) ergs
= 1.2675×10^37 ergs ≈ 1.3×10^37 ergs
The mantissa of the result is the product 3.9×3.25, adjusted to have one digit left of the decimal point. The exponent of the result is the sum of the exponents of the factors, adjusted by 1 to match the adjustment in the mantissa.
The final value should be rounded to 2 significant figures, reflecting the precision of the sun's energy production.
__
B) A millimeter is a small fraction of an inch. 10^-3 mm is a small fraction of the width of a human hair, so 1.435×10^-3 mm is not a reasonable estimate of the distance between railroad tracks.
On the other hand, 1.435×10^3 mm is 1.435 m, almost 56.5 inches. This is a much more reasonable measurement of the distance between railroad rails.
1.435×10^3 mm is more reasonable
Let's say Miles Carlos drove = x and taook time = t1
Miles <span>Maria drove = y and took time = t2
But the total mile both drove = 233 and took time = 4.4 hrs
So , x + y = 233
t1 + t2 = 4.4
However, speed = distance / time
for Carlos, 55 = x / t1
for Maria, 50 = y / t2
</span><span>x + y = 233
</span><span>55 t1 + 50 t2 = 233
</span><span>t1 + t2 = 4.4
</span>50 t1 + 50 t2 = 220
5 t1 = 13
t1 = 2.6 hrs for Carlos
t2 = 1.8 hrs
Therefore Maria drove 4.4 hrs
