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Mathematics

2 answers:

spin [16.1K]3 years ago

5 0

Answer:

diamond I think not 100% sure but I looked it up

Lana71 [14]3 years ago

5 0

Answer: It’s diamond

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If f(x)=4x-7, find X if f(x) = -3.

Minchanka [31]

Well if you download the app photo math and take a photo of it. It will solve it for you

7 0

3 years ago

Please help WOrth 10 points

rjkz [21]

Answer:

52 cubic units

Step-by-step explanation:

1. Divide the shape into 2 parts:

The first one: a 2 by 4 by 6 rectangular prism.

The second one: a 1 by 4 by 1 rectangular prism.

2. Find the volumes of the prisms.

2*4*6=48

1*4*1=4

3. Add the two volumes

48+4=52 cubic units (or units^3)

6 0

3 years ago

From a piece of tin in the shape of a square 6 inches on a side, the largest possible circle is cut out. What is the ratio of th

wel

Answer:

$\sf \dfrac{1}{4} \pi \quad or \quad \dfrac{7}{9}$

Step-by-step explanation:

The width of a square is its side length.

The width of a circle is its diameter.

Therefore, the largest possible circle that can be cut out from a square is a circle whose diameter is equal in length to the side length of the square.

Formulas

$\sf \textsf{Area of a square}=s^2 \quad \textsf{(where s is the side length)}$

$\sf \textsf{Area of a circle}=\pi r^2 \quad \textsf{(where r is the radius)}$

$\sf \textsf{Radius of a circle}=\dfrac{1}{2}d \quad \textsf{(where d is the diameter)}$

If the diameter is equal to the side length of the square, then:
$\implies \sf r=\dfrac{1}{2}s$

Therefore:

$\begin{aligned}\implies \sf Area\:of\:circle & = \sf \pi \left(\dfrac{s}{2}\right)^2\\& = \sf \pi \left(\dfrac{s^2}{4}\right)\\& = \sf \dfrac{1}{4}\pi s^2 \end{aligned}$