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katovenus [111]
4 years ago
14

Help with geometry questions 45 points

Mathematics
1 answer:
koban [17]4 years ago
5 0
Find the ratio 64/12; it is 5 1/3, or 5.33 (repeating decimal).

                                                        (l1 + l2)
The area of the smaller trap is A = ------------ * h                                                                                                                  2
                                          l1 + 12
which becomes       A = ----------------- * h which in turn equals 131 m^2.
                                               2

                                                        5.33*l1 + 5.33(12)
The area of the larger trap is A = ----------------------------- * 5.33*h                                                                                           2

This is equivalent to 5.33(l1+12) * 5.33h
                                 --------------------------, which is (5.33)^2 times 1.31 m^2, 
                                                 2

so our final answer (area of the larger trap) is  (5.33)^2*131 m^2, or
3726.2 m^2.
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6 0
3 years ago
Thirteen more than the quotient of twenty and four
oksano4ka [1.4K]

Answer:

19

Step-by-step explanation:

20/4 + 13

20/4 = 6

6+13 = 19

8 0
3 years ago
Read 2 more answers
9(x+2)= 5 - 2( x - 1 )
omeli [17]

We can use the distribution method for both sides:

9 (x+2) = 5 - 2( x - 1 )

9x + 18 = 5 -2x + 2

Move like terms to one side and combine:

9x + 2x = 5+2-18.

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5 0
3 years ago
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A substance with a half life is decaying exponentially. If there are initially 12grams of the substance and after 70 minutes the
dybincka [34]

Answer:

Step-by-step explanation:

Use the half life formula

N=N_0e^{kt} where N is the amount after decay, No is the initial amount, e is Euler's number, k is the decay constant, and t is the time in minutes. For us, the first equation looks like this:

7=12e^{k(70)} and we will solve that for k and then use that value of k in the second equation to find time.

Begin by dividing 7 by 12 to get

\frac{7}{12}=e^{k(70)} Now take the natural log of both sides since the natural log and that e are inverses. The e then disappears:

ln(\frac{7}{12})=k(70)

Plug the left side into your calculator and then set it equal to the right side, giving us:

-.5389965007=70k

Divide both sides by 70 to get the k value of

k = -.00769995

Now the second equation looks like this:

2=12e^{(-.00769995)t where t is our only unknown now that we know k.

Begin by dividing both sides by 12 to get

\frac{1}{6}=e^{-.00769995t and take the natural log of both sides again to eliminate the e:

ln(\frac{1}{6})=-.00769995t

Take care of the left side on your calculator to get

-1.791759469 = -.00769995t and divide both sides by -.00769995 to get

t = 232.697 minutes

4 0
3 years ago
Please simplify: −23d+81≤−98d+1
Strike441 [17]
- 23 d + 81  \leq -98 d + 1

Subtract 81 from both sides :

-23 d + 81-81 \leq -98d+1 -81

-23d \leq -98d-80

Add 98d to both sides:

-23d +98 d \leq -98d-80+98d

75d \leq -80

Divide both sides by 75 :

\frac{75d}{75}  \leq  \frac{-80}{75}

d \leq =- \frac{16}{15}

hope this helps!.


5 0
3 years ago
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