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VikaD [51]
2 years ago
13

Need answer ASAP! Please see screen shot.

Mathematics
1 answer:
vivado [14]2 years ago
6 0

Answer:

0.4 or \frac{2}{5}

Step-by-step explanation:

James spun the arrow 30 times which means 30 is the total. In other words, it's your denominator (\frac{x}{30}). It landed on the blue section 12 times which means 12 is the part of the whole. In other words, it's your numerator (\frac{12}{y}). Plug in the entire fraction and you get \frac{12}{30}. Divide 12 by 30 and you get 0.4 or if you divide both the numerator & denominator by 6, you get \frac{2}{5}. Either one works, depending on what your question asks for.

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Factorise the following x^4+x
Ostrovityanka [42]

Answer:

\large\boxed{x^4+x=x(x^3+1)=x(x+1)(x^2-x+1)}

Step-by-step explanation:

x^4=x\cdot \underbrace{x\cdot x\cdot x}_{3}=x\cdot x^3\\\\x=x\cdot 1\\\\x^4+x=\bold{x}\cdot x^3+\bold{x}\cdot1=\bold{x}\cdot(x^3+1)\\\\\text{used the distriburtive property:}\ a(b+c)=ab+ac

\text{If you want complete factorise, then:}

x^3+1=x^3+1^3    \text{use}\ a^3+b^3 = (a + b)(a^2 - ab + b^2)

x^4+x=x(x^3+1)=x(x+1)(x^2+(x)(1)+1^2)=x(x+1)(x^2+x+1)

7 0
3 years ago
Here is a scale drawing of a window frame that uses a scale of 1 cm to 6 inches.Create another scale drawing of the window frame
Tresset [83]

Answer:

Step-by-step explanation:

Below is the rectangle in the attachment.

Current scale:

1 cm : 6 inches

If the dimensions of the rectangle is:

Length = a cm

Width = b cm

Using the scale:

Length = a × 6 inches

Width = b × 6 inches

Using the same dimensions of the rectangle is:

Length = a cm

Width = b cm

Using the scale:

Length = a × 12 inches

Width = b × 12 inches

Note that there is an enlargement of the rectangle to form the new rectangle. The length and width of new rectangle drawn will be 2 × the length and width of the rectangle seen below.

8 0
3 years ago
A square has sides with lengths of (x - 2) units. A rectangle has a length of x units and a width of
vagabundo [1.1K]

Answer:

(A)The area of the square is greater than the area of the rectangle.

(C)The value of x must be greater than 4

(E)The area of the rectangle is (x^2-4x) \:Square \:Units

Step-by-step explanation:

The Square has side lengths of (x - 2) units.

Area of the Square

(x-2)^2=(x-2)(x-2)=x^2-2x-2x+4\\=(x^2-4x+4) \:Square \:Units

The rectangle has a length of x units and a width of  (x - 4) units.

Area of the Rectangle =x(x-4)=(x^2-4x) \:Square \:Units

<u>The following statements are true:</u>

(A)The area of the square is greater than the area of the rectangle.

This is because the area of the square is an addition of 4 to the area of the rectangle.

(C)The value of x must be greater than 4

If x is less than or equal to 4, the area of the rectangle will be negative or zero.

(E)The area of the rectangle is (x^2-4x) \:Square \:Units

3 0
3 years ago
Which of the following rectangular prisms has a base area of 40 cm2 and a volume of 160 cm3?
Anon25 [30]
The base is 4 x 10. which means that you can divide 160 by 40 to get the hieght. (The height is 4)
4 0
3 years ago
What is the start time 30 minutes before 10:08am
Zolol [24]
9:36 am (in the morning)
8 0
3 years ago
Read 2 more answers
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