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Verizon [17]
3 years ago
11

AT the local zoo, the aquarium can be seen from the Reptile Room and the Amphibian Arena. What is the total area of both rooms a

nd the aquarium?

Mathematics
1 answer:
BartSMP [9]3 years ago
6 0

Answer:

The total area of both rooms and the aquarium is equal to 10,932 ft²

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

the length sides of Aquarium are

(83-32) x (72-52)-----> 51 ft x 20 ft

Area reptile room=(83*72)-area of aquarium----> 83*72-51*20---> 4,956 ft²

[ total area of both rooms]=2*4,956-----> 9,912 ft²

I'm assuming that the two areas are equal

Area of aquarium=51*20=1,020 ft²

therefore

the total area of both rooms and the aquarium is equal to

9,912 ft²+1,020 ft²=10,932 ft²

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Simplify: 2{10-5+x[1+3(6-2)]}
REY [17]

Answer:

10+26x

Step-by-step explanation:

To solve this, work your way from the inner most parentheses to the outer most:

  1. The inner most parentheses is around 6-2, meaning you solve this first. When you solve this, you get 4.
  2. The second most inner parentheses is around (1+3 times 4) using PEMDAS, you first solve the multiplication, and then add. Once you solve this, you get 13.
  3. Next, the outer most parentheses is around (10-5+13x). When you simplify this, you get 5+13x
  4. Finally, you multiply 2(5+13x). Using distributive property, you get 10+26x as your final simplified answer.
3 0
3 years ago
Write each power as a product of factors <br><br> 2^4<br> 4^2<br> 9^2<br> 8^5<br> 5^3<br> 7^3
snow_lady [41]
<em><u>2^{4}⇒2×2×2×2⇒16</u></em>
<em><u>4^{2}⇒4×4⇒16</u></em>
<em><u>9^{2}⇒9×9⇒81</u></em>
<em><u>8^{5}⇒8×8×8×8×8⇒32.768</u></em>
<em><u>5^{3}⇒5×5×5⇒125</u></em>
<em><u>7^{3}⇒7×7×7⇒343</u></em>
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A flight across the US takes longer east to west then it does west to east. This is due to the plane having a headwind flying we
Ipatiy [6.2K]
Sin hacon se no se mon anynayo si bor ni ka thu
3 0
3 years ago
The ounces of yellow paint, y, needed to mix with x ounces of blue paint to make a certain shade of green paint can be represent
alexira [117]

Answer:

The constant of proportionality of the equation is 1.5.

Step-by-step explanation:

Equation of proportional measures:

Suppose that y and x are proportional measures. This situation can be equatialized is:

y = ax

In which a is the constant of proportionality.

y = 1.5x. What is the constant of proportionality of the equation?

a = 1.5, so the constant of proportionality of the equation is 1.5.

6 0
3 years ago
A 14​-foot ladder is placed against a vertical wall of a​ building, with the bottom of the ladder standing on level ground 9 fee
timama [110]

Answer:

10.7 feet

Step-by-step explanation:

The ladder, the ground and the wall form the shape of a right angled triangle as shown in the image below.

The hypotenuse of the triangle is 14 feet (length of ladder)

The base of the triangle is 9 feet long (the distance from the base of the ladder to the wall)

We need to find the height of the triangle. We can apply Pythagoras rule:

hyp^2 = a^2 + b^2

where hyp = hypotenuse

a = base of the triangle

b = height of the triangle

Therefore:

14^2 = 9^2 + b^2\\\\196 = 81 + b^2\\\\b^2 = 196 - 81 = 115\\\\b = \sqrt{115} \\\\b = 10.7 feet

The wall reaches 10.7 feet high.

3 0
3 years ago
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