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elena-14-01-66 [18.8K]
3 years ago
5

Please help asap! Number 2 , picture is included! (10 points)

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
4 0
So, first, we know that the whole angle must equal 90 because there's a right angle symbol, and right angles equal 90 degrees.

So, 43 + x + 3 must equal 90.

Or, 46 + x = 90

Then subtract 46 from both sides.

x = 90 - 46

x = 44

These would also be adjacent angles because they share the same vertex.
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How many inches are in 12 feet.​
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Answer:

144

Step-by-step explanation:

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7 0
3 years ago
Read 2 more answers
A population of bees is decreasing. The population in a particular region this year is 1,250. After 1 year, it is estimated tha
8_murik_8 [283]
To model this situation, we are going to use the decay formula: A=Pe^{rt}
where 
A is the final pupolation
P is the initial population 
e is the Euler's constant
r is the decay rate 
t is the time in years

A. We know for our problem that the initial population is 1,250, so P=1250; we also know that after a year the population is 1000, so A=1000 and t=1. Lets replace those values in our formula to find r:
A=Pe^{rt}
1000=1250e^{r}
e^{r}= \frac{1000}{1250}
e^{r}= \frac{4}{5}
ln(e^{r})=ln( \frac{4}{5} )
r=ln( \frac{4}{5} )
r=-02231

Now that we have r, we can write a function to model this scenario:
A(t)=1250e^{-0.2231t}.

B. Here we are going to use a graphing utility to graph the function we derived in the previous point. Please check the attached image.

C. 
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- The function doe snot have a x-intercept 
- The function has a y-intercept at (0,1250)
- Since the function is decaying, it will have a maximum at t=0: 
A(0)=1250e^{(-0.2231)(0)
A_{0}=1250e^{0}
A_{0}=1250
- Over the interval [0,10], the function will have a minimum at t=10:
A(10)=1250e^{(-0.2231)(10)
A_{10}=134.28

D. To find the rate of change of the function over the interval [0,10], we are going to use the formula: m= \frac{A(0)-A(10)}{10-0}
where 
m is the rate of change 
A(10) is the function evaluated at 10
A(0) is the function evaluated at 0
We know from previous calculations that A(10)=134.28 and A(0)=1250, so lets replace those values in our formula to find m:
m= \frac{134.28-1250}{10-0}
m= \frac{-1115.72}{10}
m=-111.572
We can conclude that the rate of change of the function over the interval [0,10] is -111.572.

7 0
3 years ago
Evaluate the expression 4•9+6/-3
kykrilka [37]
You have to multiplying first, then adding on 6 over negative 3 as a fraction. The parentheses it will be multiplying.

(4)(9)+6/-3 

= 34.

It will help you.

Have a great day!


-Charlie
8 0
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Read 2 more answers
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The 4th largest planet
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I hope this helps you

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