Step by step 5 divided by 486

You have two lines. Line A measures 12/16, and line B measures 3/4.

hram777 [196]

Answer:

B

Step-by-step explanation:

Let's compare the two values of 12/16 and 3/4.

Notice that 12/16 isn't a simplified fraction; both the numerator and denominator are divisible by 4. So divide the top and bottom by 4:

12 / 4 = 3

16 / 4 = 4

We are left with:

12/16 = 3/4

Now, we see that Line A and Line B are equal in length, so the answer is B.

<em>~ an aesthetics lover</em>

8 0

3 years ago

Read 2 more answers

On the coordinate plane below, Point P is located at (2,-3), and point Q is located at (-4,4).

nadezda [96]

Answer:

9

Step-by-step explanation:

We can use the distance formula

d = sqrt ( ( y2-y1)^2 + ( x2-x1) ^2)

d = sqrt ( ( 4- -3)^2 + ( -4 -2) ^2)

= sqrt ( ( 7^2 + ( -6)^2)

= sqrt( 49+ 36)

= sqrt(85)

9.219544457

Rounding to the nearest whole number

= 9

5 0

3 years ago

If

baherus [9]

Answer: see proof below

<u>Step-by-step explanation:</u>

Given: cos 330 = $\frac{\sqrt3}{2}$

Use the Double-Angle Identity: cos 2A = 2 cos² A - 1

$\text{Scratchwork:}\quad \bigg(\dfrac{\sqrt3 + 2}{2\sqrt2}\bigg)^2 = \dfrac{2\sqrt3 + 4}{8}$

Proof LHS → RHS:

LHS cos 165

Double-Angle: cos (2 · 165) = 2 cos² 165 - 1

⇒ cos 330 = 2 cos² 165 - 1

⇒ 2 cos² 165 = cos 330 + 1

Given: $2 \cos^2 165 = \dfrac{\sqrt3}{2} + 1$

$\rightarrow 2 \cos^2 165 = \dfrac{\sqrt3}{2} + \dfrac{2}{2}$

Divide by 2: $\cos^2 165 = \dfrac{\sqrt3+2}{4}$

$\rightarrow \cos^2 165 = \bigg(\dfrac{2}{2}\bigg)\dfrac{\sqrt3+2}{4}$

$\rightarrow \cos^2 165 = \dfrac{2\sqrt3+4}{8}$

Square root: $\sqrt{\cos^2 165} = \sqrt{\dfrac{4+2\sqrt3}{8}}$

Scratchwork: $\cos^2 165 = \bigg(\dfrac{\sqrt3+1}{2\sqrt2}\bigg)^2$

$\rightarrow \cos 165 = \pm \dfrac{\sqrt3+1}{2\sqrt2}$

Since cos 165 is in the 2nd Quadrant, the sign is NEGATIVE

$\rightarrow \cos 165 = - \dfrac{\sqrt3+1}{2\sqrt2}$

LHS = RHS $\checkmark$

4 0

3 years ago

Which question is a statistics questions that anticipates variability? A) What is my favorite animal to own? B) What animals do

nignag [31]

B) What animals do students in my school own?

8 0

3 years ago

Read 2 more answers

HELPPP!!! And explain please.

V125BC [204]

Answer:

After correcting error of Mia and solving the expression $0.38 \times 3 \div(-1/20)\times5\div(-8)$ we get 14.25

Step-by-step explanation:

The given expression is: $0.38 \times 3 \div(-1/20)\times5\div(-8)$

First I solve the expression, and then will point the error

$0.38 \times 3 \div(-1/20)\times5\div(-8)\\Converting \ \div \ sign \ into \ \times the \ term \ is \ inverted\\=0.38 \times 3 \times(-20)\times5\times(-1/8)\\=0.38\times 3 \times-20\times5\times-1/8\\=1.14 \times-20\times5\times-1/8\\=-22.8\times5\times-1/8\\=-114\times-1/8\\=\frac{-114}{-8}\\=14.25$

So, the mistake Mia did was when she inverted division sign into multiplication, she didn't invert the term next to division sign.

The step she did was: $0.38 \times 5 \times(1/20)\times3\times(-8)$

While the correct step was: $0.38 \times 3 \times(-20)\times5\times(-1/8)$

After correcting error of Mia and solving the expression $0.38 \times 3 \div(-1/20)\times5\div(-8)$ we get 14.25

3 0

3 years ago