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Elodia [21]
3 years ago
12

What is the length of leg s of the triangle below?

Mathematics
2 answers:
Vera_Pavlovna [14]3 years ago
4 0

Step-by-step explanation:

i think your answer will be 4

Verizon [17]3 years ago
3 0

Answer:

4

Step-by-step explanation:

since this is a 45-45-90 triangle the legs are the same length and the hypotenuse is x rt2. in this case x is 4 so the hypotenuse is 4 rt2 which is rt32

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The area of a circle is 132.7 square cm. Find the diameter.
Julli [10]

Answer:

The diameter of the circle is 13.

6 0
3 years ago
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You want to put $2,500 in a simple interest account. It has a 4% annual interest rate. How long will it take you to earn $200 in
Nadya [2.5K]
The formula is
I=prt
I interest earned 200
P principle 2500
R interest rate 0.04
T time ?
We need to solve for t
T=I÷pr
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Hope it helps
6 0
3 years ago
The base of an aquarium with given volume V is made of slate and the sides are made of glass. If slate costs five times as much
Y_Kistochka [10]

Answer:

x = ∛ 2*V/5  

y = ∛ 2*V/5

h  = V/ ∛ 4*V²/25

Step-by-step explanation:

Dimensions of the aquarium base is  x*y

We call c₁ cost per unit area of the sides, then cost per unit area of slate is equal 5c₁.

let call h the height of the aquarium then volume of the aquarium is:

V = x*y*h      where   h =  V / x*y

As the base is a rectangular one there are 2 sides x*h .  and 2 sides  y*h

According to this:

Ct (cost of aquarium )  = cost of the base  + cost of the sides

cₐ  ( cost of the base) = 5*c₁*x*y

c₆ (cost of the sides ) = c₁*2*x*h   +   c₁*2*y*h

C(t)  =  5*c₁*x*y +2* c₁*x* V/x*y  +  2* c₁*y* V/x*y    or

C(t)  =  5*c₁*x*y  + 2*c₁*V/y   *2*c₁* V/x

Taking partial derivatives en x and y we have:

C´(x)  =  5*c₁*y - 2*c₁*V/x²

C´(y)  =  5*c₁*x - 2*c₁*V/y²

C´(x)  = C´(y)        ⇒  5*c₁*y - 2*c₁*V/x²  =   5*c₁*x - 2*c₁*V/y²

or    5*y - 2*V/x²  =   5*x - 2*V/y²

(5*y*x² - 2*V)/x²  = ( 5*y²x - 2*V) /y²

(5*y*x² - 2*V)*y²  = ( 5*y²x - 2*V)*x²

5*y³*x² - 2*V*y²  =  5*y²x³  - 2*V*x²

5*y³*x² - 5*y²x³  =  2*V * ( y² - x²)

by symmetry  x =  y

Then using x = y  and plugging that value on the derivatives

C´(x) =  5*c₁*y - 2*c₁*V/x²

C´(x) =  5*c₁*x - 2*c₁*V/x²

C´(x) = 0          ⇒     5*c₁*x - 2*c₁*V/x²  = 0

5*x  - 2*V/x² = 0      ⇒  5*x³ - 2*V = 0   ⇒   5*x³  = 2*V  ⇒ x³ = 2*V/5

x = ∛ 2*V/5       and   y = ∛ 2*V/5    and   h  =  V/ x*y    h  = V/ ∛ 4*V²/25

7 0
3 years ago
Nolan wrote 1.63 as a fraction in simplest
Naya [18.7K]

Answer:

63

Step-by-step explanation:

First, I wrote the fraction as 1 63/100. I believe this is simplest form so the numerator is 63.

4 0
3 years ago
As an estimation we are told £3 is €4.
NeX [460]

Answer:

25.60 €.

Step-by-step explanation:

£3 is €4

So £1 is €4/3

and £19.29 = 19.20 * 4/3

= 25.60 €

6 0
2 years ago
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