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frozen [14]
3 years ago
10

Chandler is on a hike in the woods. He has an altimeter with him, and Chandler uses it to measure his height above sea level at

various points in his hike. He starts out at 120.4 meters above sea level, then hikes up an additional 850.0 meters to the crest of a hill. Chandler takes a break, then hikes down into a valley that is 430.7 meters below the crest. How far above sea level, in meters, is Chandler when he is in the valley?
Mathematics
1 answer:
laiz [17]3 years ago
5 0

Answer:

539.7 meters above sea level.

Step-by-step explanation:

Okay in order to solve this problem we can take it one step at a time. First, he starts at an altitude of 120.4 meters above sea level.

Then he hikes up an additional (meaning we add) 850.0 meters.

120.4 + 850.0 = 970.4

Next, Chandler hikes down (meaning we subtract) 430.7 meters.

970.4 - 430.7 = 539.7

Therefore, we can see that when Chandler is in the valley he is at an altitude of 539.7 meters above sea level.

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The function shown crosses the y-axis at....<br><br> (Pls help me ill give brainliest)
allsm [11]

Answer:

(0,3)

Step-by-step explanation:

(x,y)

you need to be on the y-axis and to be on that you need to have 0 on the

x-axis which is the first number you see (if you are reading from left to right)

and you need to go up 3 times so you put a 3 on the y axis and boom there you have it

Hope this helps!

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3 years ago
Pam has 90 m of fencing to enclose an area in a petting zoo with two dividers to separate three types of young animals. The thre
andrew-mc [135]

Answer:

The area function is

A=\frac{135}{2}x-\frac{9}{2}x^2.

The domain and range of A is (0,15m) and (0, 253.125 m^2].

Step-by-step explanation:

The given length of fencing is 90 m.

Let the length and width of each pen be x and y respectively as shown in the figure.

As there are 3 pens, so, the total area,

A= 3 xy \;\cdots (i)

From the figure the total length of fencing is 6x+4y.

Here, for a significant area for the animals, x>0 as well as y>0 as x and y are the sides of ben.

From the given value:

6x+4y=90\;\cdots (ii)

\Rightarrow  y=\frac {45}{2}-\frac{3x}{2}

Now, from equation (i)

A=3x\left(\frac {45}{2}-\frac{3x}{2}\right)

\Rightarrow A=\frac{135}{2}x-\frac{9}{2}x^2\;\cdots (iii)

This is the required area function in the terms of variable x.

For the domain of area function, from equation (ii)

x=15-\frac{2y}{3}

\Rightarrow x [as y>0]

So, the domain of area function is (0,15m).

For the range of area function:

As x \rightarrow 0 or y\rightarrow 0, then A\rightarrow 0 [from equation (i)]

\Rightarrow A>0

Now, differentiate the area function with respect to x .

\frac {dA}{dx}=\frac{135}{2}-9x

Equate \frac {dA}{dx}  to zero to get the extremum point.

\frac {dA}{dx}=0

\Rightarrow \frac{135}{2}-9x=0

\Rightarrow x=\frac{15}{2}

Check this point by double differentiation

\frac {d^2A}{dx^2}=-9

As,  \frac {d^2A}{dx^2}, so, point x=\frac{15}{2} is corresponding to maxima.

Put this value back to equation (iii) to get the maximum value of area function. We have

A=\frac{135}{2}\times \frac {15}{2}-\frac{9}{2}\times \left(\frac {15}{2}\right)^2

\Rightarrow A=253.125 m^2

Hence, the range of area function is (0, 253.125 m^2].

4 0
3 years ago
A prism is filled with 70 cubes with a side length of 1 2 unit. What is the volume of the prism in cubic units? Enter answer as
galina1969 [7]

Answer:

The volume of the cube is;

8\dfrac{3}{4} \ cube \, units

Step-by-step explanation:

The parameters of the prism are;

The number of cubes used to fill the prism, n = 70 cubes

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The volume of the cube, V = n × s³

∴ Therefore, the volume of the cube, V = 70 × (1/2)³ = 8\dfrac{3}{4} \ cube \, units = 8.75 cube unit

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Maurinko [17]

Answer: B. 233 (rounded)

Step-by-step explanation:

1: 700/6= 166.6

2: 166.6+166.6=233.332

3 round to 233

6 0
3 years ago
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