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2 years ago

Im very confused about my precourse work for AP environmental science.

Mathematics

1 answer:

Nataliya [291]2 years ago

8 0

The computation shows that the values are 64000 acres and 563 metric tons.

<h3>How to compute the values?</h3>

1. A 100 square mile area of national forest is how many acres?

1 mile square = 640 acres

100 square miles = 100 × 640 = 64000 acres.

2. Fifty eight thousand kilograms of solid waste is equivalent to how many metric tons?

1 metric ton = 103kg

58000 kg = 58000/103 = 563 metric tons

Learn more about computations on:

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Please solve these equations much appreciated

Reptile [31]

Answer:

Part c) $V=16,500\ m^3$

Part d) $V=93,312\pi\ mm^3$ or $V=292,999.68\ mm^3$

Step-by-step explanation:

Part c) Find the volume of the inverted rectangular pyramid

The volume of the rectangular pyramid is equal to

$V=\frac{1}{3}Bh$

where

B is the area of the rectangular base

h is the height of pyramid

$B=(60)(15)=900\ m^2$

$h=55\ m$

substitute

$V=\frac{1}{3}(900)(55)$

$V=16,500\ m^3$

Part d) Find the maximum volume of tea in the tea cup

we know that

The volume of cylinder (tea cup) is equal to

$V=\pi r^{2}h$

we have

$r=36\ mm\\h=72\ mm$

substitute

$V=\pi (36)^{2}(72)$

$V=93,312\pi\ mm^3$ -----> exact value

<em>Find the approximate value</em>

assume

$\pi =3.14$

$V=93,312(3.14)=292,999.68\ mm^3$

7 0

3 years ago

I don't get question a

Maslowich

Enlarge means to make bigger

3 0

3 years ago

2. A birthday party host planned for 20 people,

nataly862011 [7]

3% Because if you would subtract the number of people that were invited and the number of people that only came, it would give you a total of 3% (hope that helped a little?)

4 0

3 years ago

Please hellpppp me I’m stuck

Ber [7]

Answer:

Triple the length, height and width

8 0

3 years ago

What is the focus of the parabola given by -1/4(y+2)^2=(x-1)

AleksandrR [38]

$\bf \textit{parabola vertex form with focus point distance}\\\\
\begin{array}{llll}
\boxed{(y-{{ k}})^2=4{{ p}}(x-{{ h}}) }\\\\
(x-{{ h}})^2=4{{ p}}(y-{{ k}}) \\
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ({{ h}},{{ k}})\\\\
{{ p}}=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}\\\\
-------------------------------\\\\$

$\bf -\cfrac{1}{4}(y+2)^2=(x-1)\implies (y+2)^2={-4}(x-1)
\\\\\\\
[y-(-2)]^2=-4(x-1)\quad 
\begin{cases}
k=-2\\
h=1\\
4p=-4
\end{cases}\implies 4p=-4\implies \boxed{p=-1}$

so, is a horizontal parabola, the "p" distance is 1, however, we ended up with a negative value, that means, the parabola is opening to the left-hand-side, with a vertex at (1, -2), and its focus at 0, -2, like you see in the picture below, one unit to the left of the vertex.

6 0

3 years ago