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Vladimir [108]
3 years ago
13

Andrea conducts a science experiment and observes that the height of a plant depends on the amount of sunlight it

Mathematics
2 answers:
Salsk061 [2.6K]3 years ago
5 0

Answer:  A(h) = 37 +004h

Step-by-step explanation:

Hi, to answer this question we have to apply  the next function:

A = P + rh  

Where:  

p = original height  

r = growing rate (decimal form)

h= hours

A =height after t hours

Replacing with the values given:  

A (h)= 37 +004h

Feel free to ask for more if needed or if you did not understand something.  

Liono4ka [1.6K]3 years ago
5 0

Answer:

The correct answer to this is f(s) = 0.004s + 37 just answered this question :)

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RS = 12, ST = 2x, RT = 34
Harrizon [31]

Answer:

x=11

Step-by-step explanation:

34(RT) minus 12(RS)=22. 22 divided by 2 equals 11.

6 0
2 years ago
4) The path of a satellite orbiting the earth causes it to pass directly over two
Naily [24]

Answers:

  • Satellite is approximately <u>2446.43 km</u> from station A.
  • Satellite is approximately <u>2441.61 km</u> above the ground.

=========================================================

Explanation:

I'm assuming tracking stations A and B are at the same elevation and are on flat ground. In reality, this is likely not the case; however, for the sake of simplicity, we'll assume this is the case.

The diagram is shown below. Points A and B describe the two stations, while point C is the satellite's location. Point D is on the ground directly below the satellite. We have these lengths

  • AB = 60 km
  • AD = x
  • CD = h

Focusing on triangle ACD, we can apply the tangent rule to isolate h.

tan(angle) = opposite/adjacent

tan(A) = CD/AD

tan(86.4) = h/x

x*tan(86.4) = h

h = x*tan(86.4)

We'll use this later in the substitution below.

--------------------

Now move onto triangle BCD. For the reference angle B = 85, we can use the tangent rule to say

tan(angle) = opposite/adjacent

tan(B) = CD/DB

tan(B) = CD/(DA+AB)

tan(85) = h/(x+60)

tan(85)*(x+60) = h

tan(85)*(x+60) = x*tan(86.4) .............  apply substitution; isolate x

x*tan(85)+60*tan(85) = x*tan(86.4)

60*tan(85) = x*tan(86.4)-x*tan(85)

60*tan(85) = x*(tan(86.4)-tan(85))

x*(tan(86.4)-tan(85)) = 60*tan(85)

x = 60*tan(85)/(tan(86.4)-tan(85))

x = 153.612786190499

--------------------

We'll use this approximate x value to find h

h = x*tan(86.4)

h = 153.612786190499*tan(86.4)

h = 2441.60531869599

h = 2441.61 km  is how high the satellite is above the ground.

Return to triangle ACD. We'll use the cosine rule to determine the length of the hypotenuse AC

cos(angle) = adjacent/hypotenuse

cos(A) = AD/AC

cos(86.4) = x/AC

cos(86.4) = 153.612786190499/AC

AC*cos(86.4) = 153.612786190499

AC = 153.612786190499/cos(86.4)

AC = 2446.43279498247

AC = 2446.43 km is the distance from the satellite to station A.

6 0
3 years ago
Subtracting Fractions.<br><br> Fill in the blanks, and the tenth one is 4 2/3 + 7 7/10=
GrogVix [38]
Hello! Although I can't give you the answers automatically. I'll just show you some steps on how to subtract & if you're still not figuring it out just message me! :)

Step 1: You have to make sure both denominators are both exactly the same or you won't get the answer correctly.

Step 2: Then subtract the numerators

Step 3: Simplify if needed.

Ex; If I have 1/2 of the pizza and my friend has 1/6 of the pizza. What will be my result if I subtract the fractions?

We'll have to take 1/2 and 1/6. You'll have to find what makes those numbers, what I mean is by multiplying both numerators and denominators.

\frac{1}{2}  -  \frac{1}{6}  =
You multiply by 3.
2 x 3 = 6

Then you'll change the denominator into 1/2 = 1/6

Result:
\frac{3}{6}  -    \frac{1}{6}  =
Then you just subtract.
3 - 1 = 2

Hint: Denominator never changes when you have your final result. So it's 2/6. It needs to be simplified.

\frac{2}{6}  \div  \frac{1}{3}
We divide by 2.

I hope this example helped you understand how to subtract fractions & if you don't know how to add mixed fractions you can always do around the world or other examples your teacher can provide! :)
3 0
3 years ago
What is the solution to the system below? <br> 3x + y = 11<br> y = x + 3
alexgriva [62]

Answer:

x = 2

y = 5

Step-by-step explanation:

3x + y = 11 equation (1)

-x + y = 3 multiply this equation by -1

x - y = -3 equation (2)

by adding 2 equations

4x = 8

x = 2

by sub. in Equation (2)

2 - y = -3

y = 2+3

y = 5

5 0
2 years ago
globe has a diameter of 12 inches. What is the volume of the globe? Use 3.14 for pi. Round your answer to the nearest hundredth
vesna_86 [32]
113.09 because you divide the 12 by two because the rule 

4 0
3 years ago
Read 2 more answers
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