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Nina [5.8K]
3 years ago
11

What is the total area of this composite figure rounded to the nearest hundredth?

Mathematics
1 answer:
weqwewe [10]3 years ago
7 0

Answer:

choice #4, total=31.14 mm^2

Step-by-step explanation:

14x2=28 is area of rectangle

1^2xPi=area of small circle

3.14=area of small circle

total=31.14 mm^2

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Factor the trinomial by grouping.<br> 9x^3 - 3x^2 -30x
katen-ka-za [31]

Answer:

3x(3x+5)(x-2)

Step-by-step explanation:

9x^3-3x^2-30x= \\\\3x(3x^2-x-10)= \\\\3x(3x^2+5x-6x-10)= \\\\3x(x(3x+5)-2(3x+5))= \\\\3x(3x+5)(x-2)

Hope this helps!

4 0
3 years ago
The height of a football during a punt is modeled by h=-16t^2+60t+3. If the football hits the ground, how long did it stay in th
weqwewe [10]

"how long..." is asking for time (t).  "The amount of time spent in the air" is the time from when the ball was kicked (0 seconds) to the time it landed on the ground.  Need to find the x-intercepts (one will be negative which will be invalid). You can do this by factoring ... <em>or by using the quadratic formula.</em> With the equation you provided, it is not factorable, so you must use the quadratic formula.

h = -16t² + 60t + 3

   a=-16   b=60  c=3

t = \frac{-b +/- \sqrt{b^{2}-4ac } }{2a}

t = \frac{-60 +/- \sqrt{60^{2}-4(-16)(3) } }{2(-16)}

t = \frac{-60 +/- \sqrt{3600 + 192} }{-32}

t = \frac{-60 +/- \sqrt{3792} }{-32}

t = \frac{-60 +/- 61.6}{-32}

t = \frac{-60 + 61.6}{-32}   or   t = \frac{-60 - 61.6}{-32}

t = \frac{1.6}{-32}        or     t = \frac{-121.6}{-32}

   t = -0.05            or     t = 3.8           <em>disregard the negative</em>

Answer: 3.8 seconds


     

8 0
3 years ago
Ivan's has 3/4 pound of hamburger meat. She makes 3 hamburgers patties.each patty weighs the same amount.hiw much dies each hamb
gulaghasi [49]
25 percent
because use quarters as and example
7 0
3 years ago
Read 2 more answers
The birth rate of a population is b(t) = 2300e0.021t people per year and the death rate is d(t)= 1450e0.018t people per year, fi
Cerrena [4.2K]

Answer:

38,674.This area represents the increase in population over a 10-year period.

Step-by-step explanation:

When graphed over the interval 0 ≤ t ≤ 10, the birth rate is more than the death rate. This means the area between the two curves is the amount of births subtract the amount of deaths. This results in an area which means the increase of the population.

The birth rate is graphed in green and the death rate is graphed in blue.

To find the area, take the integral of the difference of the functions:

\int\limits^{10}_0 {2300e^{0.021t} - 1450e^{0.018t} } \, dt \\\\\frac{2300e^{0.021t}}{0.021} -  \frac{1450e^{0.018t}}{0.018} \\\\(\frac{2300e^{0.21}}{0.021} -\frac{1450e^{0.18}}{0.018} ) - (\frac{2300}{0.021}- \frac{1450}{0.018} ) \\\\135117.12 - 96442.51 \\\\38,674

7 0
3 years ago
Please help solve what the picture says and explain. Thanks!
pochemuha
Guess this is how it should look like, not sure what the instructions on drawing an x through the segments mean, but hope this helps!

4 0
3 years ago
Read 2 more answers
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