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neonofarm [45]
3 years ago
5

How do you use the metric system?

Mathematics
1 answer:
baherus [9]3 years ago
8 0

Answer:


The metric system uses units such as meter, liter, and gram to measure length, liquid volume, and mass, just as the U.S. customary system uses feet, quarts, and ounces to measure these.


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Triangle X Y Z is shown. The length of X Z is 12, the length of Y Z is 11, and the length of Y X is 6.
LenaWriter [7]

Answer:

84 degrees

Step-by-step explanation:

Applying the Cosine Rule (Choice 2 is the correct one)  :-

12^2 = 11^2 + 6^2 - 2*11*6 cos Y

144 = 121 + 36 - 132 cos Y

cos Y = (121 + 36 - 144) / 132

cos Y = 0.09848

Y = 84.3 degrees

7 0
3 years ago
Read 2 more answers
2x + 4 = 4x how. to solve it ​
ipn [44]

Answer:

x=2

Step-by-step explanation:

2x+4=4x

-2x     -2x  

4=2x/2x

4/2=x

x=2

8 0
3 years ago
Read 2 more answers
The function in Exercise represents the rate of flow of money in dollars per year. Assume a 10-year period at 8% compounded cont
anzhelika [568]

Answer:

a) The present value is 688.64 $

b) The accumulated amount is 1532.60 $

Step-by-step explanation:

<u>a)</u><u> The preset value equation is given by this formula:</u>

P=\int^{T}_{0}f(t)e^{-rt}dt

where:

  • T is the period in years (T = 10 years)
  • r is the annual interest rate (r=0.08)

So we have:

P=\int^{T}_{0}(0.01t+100)e^{-rt}dt

Now we just need to solve this integral.

P=\int^{T}_{0}0.01te^{-rt}dt+\int^{T}_{0}100e^{-rt}dt

P=e^{-0.08t}(-1.56-0.13t)|^{10}_{0}+1250e^{-0.08t}|^{10}_{0}

P=0.30+688.34=688.64 $

The present value is 688.64 $

<u>b)</u><u> The accumulated amount of money flow formula is:</u>

A=e^{r\tau}\int^{T}_{0}f(t)e^{-rt}dt

We have the same equation but whit a term that depends of τ, in our case it is 10.

So we have:

A=e^{r\tau}\int^{T}_{0}(0.01t+100)e^{-rt}dt=e^{0.08\cdot 10}P

A=e^{0.08\cdot 10}688.64=1532.60 $

The accumulated amount is 1532.60 $

Have a nice day!

6 0
3 years ago
The class needed to collect 20.5 pounds of cans for recycling over the next 5 months. the students plan to collect 3.75 pounds e
Anestetic [448]
To solve this problem, start by finding how many cans will be collected in 5 months. To do this, take the amount of cans collected each month and multiply it by the number of months. Set these values up in an equation.
This leaves you with:
3.75(5) = x

Multiply the values to get 18.75 pounds of cans.
So this fills the first blank.

For the second blank, you must subtract the number collected from the number that was the goal for the class.
This results in the expression:
20.5 - 18.75

Subtract the values to fill the second blank with 1.75 pounds.

Since they didn’t meet their goal, the last blank would be “less.”

I hope this helps! :)
8 0
3 years ago
A college student is preparing a course schedule for the next semester. The student must select one of three mathematics courses
kompoz [17]

Click on the photo to see the full attachment.

5 0
3 years ago
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