There are 20 grams of protein in 3

0.52+0.15=0.52+x????

pychu [463]

What I did is to add 0.52
+0.15
then try to find what could equal the same amount with 0.52

4 0

3 years ago

Read 2 more answers

What is the area of the composite figure? (6π 4) cm2 (6π 16) cm2 (12π 4) cm2 (12π 16) cm2

raketka [301]

The area of the considered composite figure is given by: Option: 6π + 16 cm²

<h3>How to calculate the surface area of a composite figure?</h3>

Surface area are derived for some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc.

When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.

Thus, we have:

$\text{Area of composite figure} = \sum (\text{Area of composing figures})$

That ∑ sign shows "sum"

For this case, the missing image is attached below.

As visible, the area of the figure = Sum of area of those 3 semi circles + Area of that square(its square because it has 4 equal sides in which adjacent sides are perpendicular) in between.

The side of the square is of 2+2=4 cm( as half of its side is 2 cm), thus, Area of that square = 4² = 16 cm²

All those 3 semicircles has radius = 2 cm

Since radius is same, so area of those 3 semicircle is same = $\dfrac{\pi r^2}{2} = \dfrac{\pi (2)^2}{2} = 2 \pi\: \rm cm^2$

Thus, we get:

Area of the composite figure = $2 \pi +2 \pi +2 \pi + 16 \: \rm cm^2 = 6 \pi+ 16 \: \rm cm^2$

Learn more about area of a composite figure here:

brainly.com/question/10254615

6 0

2 years ago

Michael is planning to invest his 2,000 into a bank account between investment A with 8% simple interest or investment B with 6%

Angelina_Jolie [31]

The investment with the bigger return is investment B.

<h3>What is simple interest and compound interest?</h3>

Simple interest rate is the interest that is paid only on the principal portion of a loan. This means that the debtor does not pays interest on the interest rate already accrued. This differs from compound interest where the debt holder pays interest on the principal and the interest rate already accrued

<h3>What is the compound interest?</h3>

The formula for calculating future value:

FV = P (1 + r)^n

FV = Future value
P = Present value
R = interest rate
N = number of years

2000 x (1.06)^12 = $4024.39

Compound interest = $4024.39 - $2000 = $2024.39

<h3>What is the simple interest? </h3>

Simple interest = principal x time x interest rate

2000 x 0.08 x 12 = $1920

To learn more about future value, please check: brainly.com/question/18760477

3 0

2 years ago

What are the dimensions of a box that would hold 250 cubic centimeters of juice and have a minimum surface area

Elis [28]

The dimensions of a box that have the minium surface area for a given Volume is such that it is a cube. This is the three dimensions are equal:

V = x*y*z , x=y=z => V = x^3, that will let you solve for x,

x = ∛(V) = ∛(250cm^3) = 6.30 cm.

Answer: 6.30 cm * 6.30cm * 6.30cm. This is a cube of side 6.30cm.

The demonstration of that the shape the minimize the volume of a box is cubic (all the dimensions equal) corresponds to a higher level (multivariable calculus).

I guess it is not the intention of the problem that you prove or even know how to prove it (unless you are taking an advanced course).

Nevertheless, the way to do it is starting by stating the equations for surface and apply two variable derivation to optimize (minimize) the surface.

You do not need to follow with next part if you do not need to understand how to show that the cube is the shape that minimize the surface.

If you call x, y, z the three dimensions, the surface is:

S = 2xy + 2xz + 2yz (two faces xy, two faces xz and two faces yz).

Now use the Volumen formula to eliminate one variable, let's say z:

V = x*y*z => z = V /(x*y)

=> S = 2xy + 2x [V/(xy)[ + 2y[V/(xy)] = 2xy + 2V/y + 2V/x

Now find dS, which needs the use of partial derivatives. It drives to:

dS = [2y - 2V/(x^2)] dx + [2x - 2V/(y^2) ] dy = 0

By the properties of the total diferentiation you have that:

2y - 2V/(x^2) = 0 and 2x - 2V/(y^2) = 0

2y - 2V/(x^2) = 0 => V = y*x^2

2x - 2V/(y^2) = 0 => V = x*y^2

=> y*x^2 = x*y^2 => y*x^2 - x*y^2 = xy (x - y) = 0 => x = y

Now that you have shown that x = y.

You can rewrite the equation for S and derive it again:

S = 2xy + 2V/y + 2V/x, x = y => S = 2x^2 + 2V/x + 2V/x = 2x^2 + 4V/x

Now find S'

S' = 4x - 4V/(x^2) = 0 => V/(x^2) = x => V =x^3.

Which is the proof that the box is cubic.

3 0

3 years ago

In this figure, mBDA=___ and mBCA=___. (fill in the blanks with degrees)

pickupchik [31]

MBOA=360-250=110, so mBDA= half of mBOA=55
mBCA=180-mBOA=180-110=70

mBDA=55 and mBCA=70

5 0

3 years ago