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4 years ago

What name describes this shape?

Mathematics

1 answer:

Helen [10]4 years ago

4 0

Where is the shape?????????????????

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What’s the value of DCB?<br> Pls help

amm1812

Answer:

Step-by-step explanation:

angle ACD + angle DCB = 180 (Angles on straight line)

4x + 2 + 3x + 3 = 180

7x + 5 = 180

7x = 180-5

7x = 175

x = 175 / 7

x = 25

angle DCB = 3x +3 = 3*25 + 3 = 75 +3 = 78

6 0

3 years ago

A piece of wire 25 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria

fomenos

Answer:

Wire used for square is 7.55 m.

Step-by-step explanation:

Let the length of wire cut for square be 'x'.

Given:

Total length of the wire = 25 m

Length of wire for square = 'x'

Length of wire for equilateral triangle = $25-x$

Now, area of square (a) = $x^2$

Area of equilateral triangle (e) is given as:

$e=\frac{\sqrt3}{4}(25-x)^2$

Now, total area (A) is given as:

$A=a+e\\\\A=x^2+\frac{\sqrt3}{4}(25-x)^2$

Now, in order to maximize 'A', the derivative of area with respect to 'x' must be 0.

∴ $\frac{dA}{dx}=0$

$\frac{d}{dx}(x^2+\frac{\sqrt3}{4}(25-x)^2)=0\\\\2x-\frac{\sqrt3}{2}(25-x)=0\\\\2x+\frac{x\sqrt3}{2}=\frac{25\sqrt3}{2}\\\\x(2+\frac{\sqrt3}{2})=\frac{25\sqrt3}{2}\\\\x(4+\sqrt3)=25\sqrt3\\\\x=\frac{25\sqrt3}{4+\sqrt3}=7.55\ m$

Therefore, the length of the wire that is cut for square should be 7.55 m for maximum area.

3 0

3 years ago

What is the average of 301,317,167 and 319

Artemon [7]

Answer:

150658743

Step-by-step explanation:

(301 317 167+319)÷2=150658743

4 0

3 years ago

What is 0.0033% of 510? Round to the nearest hundredth.

ICE Princess25 [194]

Answer:

1 thousandth rounded to 100 is 1

Step-by-step explanation:

$0.0033\% \times 510$

= 0.000033×510

=0.01683

4 0

3 years ago

Read 2 more answers

In Exercise, use the properties of exponents to simplify the expression.<br> (e3)4

Morgarella [4.7K]

Answer:

Answer will be $e^{12}$

Step-by-step explanation:

We have given the expression $(e^3)^4$

We have to simplify this expression with the help of property of exponent

According to property of exponent when there is exponent to exponenet then both the exponent are multiplied with each other

So $(e^3)^4=e^{3\times 4}=e^{12}$

Here 4 and 3 are exponent to exponent so these are multiplied with each other

6 0

3 years ago