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3 years ago

Figure out this 16r^3t^2/-4rt

Mathematics

2 answers:

ElenaW [278]3 years ago

8 0

You mean to simplify as this is an expression not an equation, as it has no equal sign...

Factor our 4 first

(4r^3t^2)/(-rt)

Now factor out -rt

-4r^2t

Deffense [45]3 years ago

4 0

I need this to be 20 characters long so I can answer. Hope the pic helped

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Ahmed and Karnia are building scenery of the Egyptian pyramids out of plywood for a community play. They pyramids are represente

Arlecino [84]

A.)
The first thing we must do for this case is to find the area of the complete figure.
We have then:
Triangle 1:
A1 = (1/2) * (1.5) * (1)
A1 = 0.75 feet ^ 2
Triangle 2:
A2 = (1/2) * (1.5) * (2)
A2 = 1.5 feet ^ 2
Triangle 3:
A3 = (1/2) * (0.75) * (1)
A3 = 0.375 feet ^ 2
Rectangle:
A4 = (5) * (0.75)
A4 = 3.75 feet ^ 2
Adding the areas we have:
A = A1 + A2 + A3 + A4
A = 0.75 + 1.5 + 0.375 + 3.75
A = 6.375 feet ^ 2
Answer:
there are 6,375 feet ^ 2 of plywood in the scenery

B.)
Triangles:
A = A1 + A2 + A3
A = 0.75 + 1.5 + 0.375
A = 2,625 feet ^ 2
Two layers of paint:
A = 5.25 feet ^ 2 <45 feet ^ 2
Rectangle:
A = 3.75 feet ^ 2
Two layers of paint:
A = 7.5 feet ^ 2 <45 feet ^ 2
Answer:
One quart of each color is needed.

5 0

3 years ago

What is the HCF of 216

rjkz [21]

Answer:

The answer for this question is 1

8 0

3 years ago

Question 1 of 10

Lorico [155]

It’s should be -10 answer

8 0

2 years ago

Determine whether each equation is True or False. In case you find a "False" equation, explain why is False.

elixir [45]

Answer:

(1) TRUE.

(2) FALSE.

(3) FALSE.

(4) TRUE.

(5) FALSE.

Step-by-step explanation:

(1) $\sqrt{32} = 2^{\frac{5}{2} }$

$2^{\frac{5}{2} } = (\sqrt{2} )^5 = (\sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2}) = 4\sqrt{2}\\\\\sqrt{32} = \sqrt{16 \ \times \ 2}\ = \ \sqrt{16} \ \times \ \sqrt{2} \ = \ 4\sqrt{2}$

Thus, the equation is TRUE.

(2) $16^{\frac{3}{8} } = 8^2$

$16^{\frac{3}{8} } =(2^4)^{\frac{3}{8} } = 2^\frac{3}{2} }= (\sqrt{2} )^3 = (\sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2}) = 2\sqrt{2} \\\\8^2 = 64$

Thus, the equation is FALSE.

(3) $4^{\frac{1}{2} } = \sqrt[4]{64}$

$4^{\frac{1}{2} }= \sqrt{4} = 2\\\\\sqrt[4]{64} = (64)^{\frac{1}{4} } = (2^6)^{\frac{1}{4} }= 2^{\frac{6}{4} } = 2^{\frac{3}{2} }=(\sqrt{2} )^3 = (\sqrt{2} \times \sqrt{2} \times \sqrt{2} ) = 2\sqrt{2}$

Thus, the equation is FALSE.

(4) $2^8 = (\sqrt[3]{16} )^6$

$2^8 = 256\\\\ (\sqrt[3]{16} )^6 = (16)^{\frac{6}{3} } = (2^4)^{\frac{6}{3} } = (2)^{\frac{24}{3} } = 2^8 = 256$

Thus, the equation is TRUE.

(5) $(\sqrt{64} )^{\frac{1}{3} } = 8^{\frac{1}{6} }\\\\$

$8^{\frac{1}{6} } = (2^3)^{\frac{1}{6} } = 2^{\frac{3}{6} } = 2^{\frac{1}{2} } = \sqrt{2} \\\\(\sqrt{64} )^{\frac{1}{3} } = (2^6)^{\frac{1}{3} } = 2^{\frac{6}{3} } = 2^2 = 4$

Thus, the equation is FALSE.

4 0

3 years ago

Don’t get it help me !

photoshop1234 [79]

Answer:

a > 12

Step-by-step explanation:

To ride the go karts you need to be OVER 12 years old. We are going to use < and > because you can't be 12 and younger. The hint is OVER because this essentially means that the variable a HAS to be bigger than 12. Thus is why the ineuality is a > 12.

Best of Luck!

8 0

3 years ago