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Hoochie [10]
2 years ago
5

The two diagrams show two different zoo enclosures for elephants. Sheila says that enclosure B gives the elephants more room. Do

you agree?

Mathematics
1 answer:
Nuetrik [128]2 years ago
8 0
Enclosure B does not give more room for the elephants. This is because Enclosure A gives more room to each elephant than Enclosure B does. The way to find this answer is to first find the area of each enclosure and then divide by the number of elephants in each enclosure to see how much room each elephant has. The math work is below:

Enclosure A:

200 * 500 = 100,000
100,000 / 4 = 25,000

Enclosure B:

1,100 * 180 = 198,000
198,000 / 9 = 22,000

25,000 > 22,000. So the enclosure with more room for the elephants is Enclosure A.
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The area of a trapezoid is 144 square inches. if the height is 12 inches, find the length of the median.
deff fn [24]

Answer: 12 inches

Step-by-step explanation: In this problem, since we're asked to find the length of the median, let's use our formula for the area of a trapezoid that involves the median which is shown below.

Area = median · height

We know that the area is 144 and the height is 9 so we can set up the equation 144 = M · 12. Now to solve for <em>m</em>, we divide both sides of the equation by 12 and we find that 12 = M.

So the length of the median of the trapezoid is 12 inches.

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2 years ago
What is the multiplicative rate of change of the function? One-fifth Two-fifths 2 5
nlexa [21]

Answer:

A on edge

Step-by-step explanation:

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2 years ago
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Find m2ABC<br> (3x + 8)<br><br> (5x - 40)
Virty [35]

Answer:

Step-by-step explanation:

(3x + 8) =(5x - 40)

Remove the brackets and replace 3x with -40 and -40 with 3x.

40 + 8 =5x - 3x  (Remember that when you replace, the signs change from negative to positive and vise versa)

Solve for x. x= -24

Replace x with its value.

3(-24)+ 8= -64

5(-24) - 40= -160

7 0
2 years ago
At what points does the helix r(t) = sin t, cos t, t intersect the sphere x2 + y2 + z2 = 65? (round your answers to three decima
Firdavs [7]
\mathbf r(t)=\langle x(t),y(t),z(t)\rangle=\langle\sin t,\cos t,t\rangle

x^2+y^2+z^2=\sin^2t+\cos^2t+t^2=65
\implies t^2=64
\implies t=\pm8
7 0
2 years ago
Find the unknown side length, x. Write your answer in simplest radical form.
Anna [14]

Answer:

The length of he hypotenuse of the triangle is  x = 65.

Step-by-step explanation:

Here, the base of the right triangle = 56

The perpendicular = 33

The hypotenuse of the triangle = x

Now, by PYTHAGORAS THEOREM: In a right angled triangle

(Base)^{2}    + (Perpendicular)^{2}   = (Hypotenuse)^{2}

or, here  

(56)^{2}    + (33)^{2}   = (x)^{2}

or, x^{2}  = 3136 + 1089 \implies x = \sqrt{4225} \\x = 65

Hence, the length of he hypotenuse of the triangle is 65.

3 0
2 years ago
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