A figure is part blue and part red.it is 5/8 red what part of the figure is blue

1 answer:

8 0

If $\frac{5}{8}$ is red, than the remaining $\frac{3}{8}$ would be blue. $\frac{5}{8}$ + $\frac{3}{8}$ would give you $\frac{8}{8}$ .

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Write the answer as a simplified fraction.<br> 5+ (-8) +0+ 37=

Juliette [100K]

Answer:

Step-by-step explanation:

5+(-8)+0+37

5-8+37

4 0

4 years ago

The population of a particular town is given by the function P(t) = 920(1.06)2t, where t is the time in years and P(t) is the po

Sophie [7]

For P(t) = 920*1.06^(2t), the current population is 920, the percentage growth rate is 6% semiannually, and the population in 4 years will be 920*1.06^8 = 1466.

Selection B is appropriate.

_____
The 2 in the exponent means the growth factor 1.06 is applied twice for each increment of t, that is, twice in 1 year (semiannually).

6 0

3 years ago

Two forces with magnitudes of 150 and 100 pounds act on an object at angles of 30° and 120°, respectively. Find the direction an

lyudmila [28]

<h2>Answer:</h2>

$Magnitude=180.27 \ lbf \\ \\ Direction=63.69 \ degrees$

<h2>Step-by-step explanation:</h2>

We have two forces as follows:

<u>First force:</u>

Magnitude: 150 pounds

Angle: 30°

<u>First force:</u>

Magnitude: 100 pounds

Angle: 120°

So the components can be found as follows:

$F_{1x}=150cos(30)=129.90 \ lbf\\F_{1y}=150sin(30) = 75 \ lbf \\ \\ F_{2x}=100cos(120)=-50 \ lbf\\F_{2y}=100sin(120) = 86.60 \ lbf$

So the components of the resultant force can be found by adding each component of the individual forces as follows:

$R_{x}=\Sigma F_{x} \\ R_{y}=\Sigma F_{y} \\ \\ R_{x}=129.90-50=79.90 \ lbf \\ R_{y}=75+86.60=161.6 \ lbf$

Finally, the magnitude and direction of the resultant force is:

$Magnitude \rightarrow R=\sqrt{R_{x}^2+R_{y}^2}=\sqrt{79.90^2+161.6^2}=180.27 \ lbf \\ \\ Direction \rightarrow \theta=tan^{-1}(\frac{R_{y}}{R_{x}})=tan^{-1}(\frac{161.6}{79.90})=63.69 \ degrees$