All categories

2 years ago

Which statement about determining the quotient 1/8 ÷ 2 is true?

Mathematics

1 answer:

NISA [10]2 years ago

7 0

Answer:

A. Because 1/16 x 2 = 1/8, 1/8 divided by 2 is 1/16.

Step-by-step explanation:

I put it into decimals to figure it out. 1/16 as a decimal is 0.0625, which I multiplied by two to get 0.125. Converting that into 1/8.

You might be interested in

Solve the inequality 171 > -6x, and graph the solution. What does the graph look like?

NARA [144]

Answer: the answer is A

Step-by-step explanation:

Jus took the quiz

4 0

2 years ago

Write (1/3i)-(-6+2/3i) as a complex number in standard form

Eddi Din [679]

Answer:

$6+\frac{i}{3}$

Step-by-step explanation:

$\frac{1}{3\imath}-(-6+\frac{2}{3\imath})$

$\frac{1}{3\imath}+6-\frac{2}{3\imath}$

taking like terms together

$\frac{1}{3\imath}-\frac{2}{3\imath}+6$

taking LCM

$\frac{1-2}{3\imath}+6$

$\frac{-1}{3\imath}+6$

taking LCM

$\frac{-1+18\imath}{3\imath}$

splitting the term

$\frac{-1+18\imath}{3\imath}$

splitting the term

$-\frac{1}{3\imath}+\frac{18\imath}{3\imath}$

$-\frac{1\times3\imath}{3\imath \times \imath}+6$

$-\frac{i}{3\imath^2}+6$

we know that

$\imath^2=-1$

putting this value in above equation

$\frac{\imath}{3}+6$

7 0

3 years ago

Find the area of the composite figure.

irga5000 [103]

Answer:

Option C, 488 square centimeters

Step-by-step explanation:

Step 1: Determine the area of the rectangle

$A = l * w$

$A = 22\ cm * 17\ cm$

$A = 374\ cm^2$

Step 2: Determine the area of the triangle

$A=\frac{h*b}{2}$

$A=\frac{19\ cm * (22\ cm-10\ cm)}{2}$

$A=\frac{19\ cm * (12\ cm)}{2}$

$A=\frac{228\ cm^2}{2}$

$A=114\ cm^2$

Step 3: Determine the total area

$A_{total} = 374\ cm^2 + 114\ cm^2$

$A_{total} =488\ cm^2$

Answer: Option C, 488 square centimeters

4 0

2 years ago

Read 2 more answers

The shorter leg of a right triangle is 5 inches shorter than the longer leg. The hypotenuse is 5 inches longer than the longer l

Licemer1 [7]

Answer:

longer leg: 20 in

shorter leg: 15 in

hypotenuse: 25 in

Formulas:

Pythagorean Theorem

$c^2 = a^2 + b^2$

c ... hypotenuse

a ... one leg

b ... another leg

Pythagorean theorem is used in right triangles (triangles in which one angle is 90°).

Step-by-step explanation:

longer leg: x

shorter leg: x - 5

hypotenuse: x + 5

To find x (longer leg), let's use Pythagorean theorem.

$c^2 = a^2 + b^2\\(x+5)^2 = x^2 + (x-5)^2\\x^2 + 10x + 25= x^2 + x^2 -10x + 25\\x^2 + 10x = 2x^2 - 10x\\0 = x^2 - 20x$

Now let's factorize to get solutions for x.

$0 = x(x-20)$

First solution:

$x = 0$

Second solution:

$x - 20 = 0\\x = 20$

Since a side of a triangle has to be a positive number, x is equal to 20.

Now let's just substitute x back to get side lengths. From the question the lengths are in inches.

longer leg: x = 20 in

shorter leg: x - 5 = 20 - 5 = 15 in

hypotenuse: x + 5 = 20 + 5 = 25 in

6 0

2 years ago

Which equation represents the graphed function

xxMikexx [17]

It’s easy just find the slope and the answer is gonna be obvious

Slope= y2-y1/x2-x1

Slope = -2-(-1)/0-4 = -1/-4 = 1/4

Slope = 1/4x

So the answer should be C

5 0

3 years ago