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Pani-rosa [81]
3 years ago
8

Simplify 3 square root of 20/ square root of 5

Mathematics
1 answer:
7nadin3 [17]3 years ago
8 0

-7√5

rewrite 20 as 2^2·5

factor 4 out of 20. negative ∛4(5)-√5

rewrite 4 and 2^2 negative ∛2^2·5-√5

pull terms out from under the radical

-3(2√5)√5

multiply 2 by -3

-6√5-√5

subtract √5 from -6√5

-7√5

the answer is -7√5


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A rectangular solid with a square base has a volume of 4096 cubic inches - determine the dimensions that yield the minimum surfa
Bumek [7]

Answer:

side of base, a = 10.1 inches, height, h = 40.1 inches

Step-by-step explanation:

Volume of rectangular solid, V = 4096 cubic inches

Let the side of base is a and the height is h.

V = a^2h\\\\4096 = a^2 h ..... (1)

surface area of the solid  

S = 2a^2 + 4 ah \\\\S = 2a^2 + 4 \times a \times \frac{4096}{a^2}    from (1)\\\S = 2a^2 + \frac{4096}{a}\\\\\frac{dS}{da}= 4 a - \frac{4096}{a^2}\\\\4 a - \frac{4096}{a^2} = 0 \\\\a^3 = 1024\\\\a =10.1 inches

So, h = 40.2 inches

5 0
3 years ago
Find the height and the exact area of the isosceles trapezoid.
kipiarov [429]
I’m going to go with 77 i’m pretty sure
8 0
3 years ago
Steps to solve 5[3(14.5+7)-3]-7.4
steposvetlana [31]
Hey there!

To solve this expression, you must follow your orders of operations or PEMDAS (Parenthesis, Exponents, Multiplication and Division, Addition and Subtraction).

In the case of  <span>5[3(14.5+7)-3]-7.4, you not only have parenthesis, but you also have brackets. To start, you would first simplify what is in the parenthesis:
</span><span>5[3(14.5+7)-3]-7.4
5[3(21.5)-3]-7.4

Now, simplify what is in the bracket, starting by multiplying 3(21.5) since multiplication comes before addition and subtraction:
</span><span>5[3(21.5)-3]-7.4
5[64.5-3]-7.4
5[61.5]-7.4

Now, multiply 5*61.5 since multiplication comes next:</span>
<span>5[61.5]-7.4
307.5-7.4

And finally, subtract what is left since it is your final operation remaining to get 300.1 as your final answer.

Hope this helps and have a marvelous day!
</span>
6 0
4 years ago
Please help me. I will give out brainliest.
strojnjashka [21]

area of quadrilateral (rhombus)=<u>4square units</u>

<u>:</u>

Solution given:

diagonal 1:AC=2 unit

diagonal 2:BD=4 unit

it looks like a rhombus

so

area of quadrilateral (rhombus)

=½*(diagonal 1*diagonal2)=½(2*4)=4 square units

8 0
3 years ago
Read 2 more answers
Someone help quick!!!
n200080 [17]

Answer:

B, E

Step-by-step explanation:

J, K, Q are all on the same line: collinear

You can draw only one line through L and P

4 0
3 years ago
Read 2 more answers
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