Answer:
11/1147 or 0.0095902354
Step-by-step explanation:
Forces in direction x:
fx1 = 100 * cos (50) = 64.28
fx2 = 50 * cos (160) = - 46.99
The resultant is:
fx = fx1 + fx2 = 17.29
Forces in direction y:
fy1 = 100 * sine (50) = 76.60
fy2 = 50 * sine (160) = 17.10
The resultant is:
fy = fy1 + fy2 = 93.70
The magnitude of the resulting force is:
f = root (fx ^ 2 + fy ^ 2)
f = root ((17.29) ^ 2 + (93.70) ^ 2)
f = 95.28
The angle is:
theta = atan (fy / fx)
theta = atan (93.70 / 17.29)
theta = 79.55 degrees
Answer:
The direction and magnitude of the resultant force are:
f = 95.28 pounds at theta = 79.55 degrees
Answer:
25,000 grams
Step-by-step explanation:
Density can be found using the following formula:

If we rearrange the formula for
, mass, we will multiply both sides of the equation by v.


The mass can be found by multiplying the density by the volume.
Jeff's density is 1000 grams per milliliter and his volume is 25 milliliters.

Substitute the values into the formula.


Multiply. When you multiply, the "mL" or milliliters will cancel out.


Jeff's mass is 25,000 grams.
The population size after 6 years and after 8 years are 147 and 169 population respectively
<h3>Exponential functions</h3>
The standard exponential function is expressed as y = ab^x
where
a is the base
x is the exponent
Given the function that represents the population size P (t) of the species as shown;

For the population size after 6 years

For the population after 8 years

Hence the population size after 6 years and after 8 years are 147 and 169 population respectively
Learn more on exponential function here: brainly.com/question/2456547
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