All categories

3 years ago

An expression that is equivalent to 7/8.

Mathematics

1 answer:

elena55 [62]3 years ago

5 0

You might be interested in

A teacher gives a test with questions that fall into 3 levels of difficulty (easy, moderate, and hard).

Tpy6a [65]

When a teacher gives a test with questions that fall into 3 levels of difficulty (easy, moderate, and hard) The scoring method that would best allow her to identify the students who need help is:
B. weight each question by its difficulty: 1 for easy, 2 for moderate, and 3 for hard.

4 0

3 years ago

How many different types of cross sections of a cone are possible?. A. 3. B. 5. C. 6. D. 10

Rama09 [41]

6 different types of cross sections of a cone are possible.

8 0

4 years ago

If √3 = 1.732, then √[(√3-1)/(√3+1)] is equal to

adelina 88 [10]

Step-by-step explanation:

<h3><u>Given Question :-</u></h3>

$\sf \: \sqrt{3} = 1.732, \: then \: \sqrt{\dfrac{ \sqrt{3} - 1}{ \sqrt{3} + 1} }$

$\red{\large\underline{\sf{Solution-}}}$

Given expression is

$\rm :\longmapsto\: \sqrt{\dfrac{ \sqrt{3} - 1}{ \sqrt{3} + 1} }$

<em>On rationalizing the denominator, we get </em>

$\rm \: = \: \sqrt{\dfrac{ \sqrt{3} - 1}{ \sqrt{3} + 1} \times \dfrac{ \sqrt{3} - 1}{ \sqrt{3} - 1} }$

$\rm \: = \: \sqrt{\dfrac{ {( \sqrt{3} - 1)}^{2} }{( \sqrt{3} + 1)( \sqrt{3} - 1)} }$

$\boxed{ \tt \: (x - y)(x + y) = {x}^{2} - {y}^{2} \: }$

<em>So, using this, we get </em>

$\rm \: = \: \dfrac{ \sqrt{3} - 1}{ \sqrt{ {( \sqrt{3})}^{2} - {(1)}^{2} } }$

$\rm \: = \: \dfrac{ \sqrt{3} - 1}{ \sqrt{ 3 - 1} }$

$\rm \: = \: \dfrac{ \sqrt{3} - 1}{ \sqrt{2} }$

$\rm \: = \: \dfrac{ \sqrt{3} - 1}{ \sqrt{2} } \times \dfrac{ \sqrt{2} }{ \sqrt{2} }$

$\rm \: = \: \dfrac{(1.732 - 1) \sqrt{2} }{2}$

$\rm \: = \: \dfrac{0.732 \times \sqrt{2} }{2}$

$\rm \: = \: 0.366 \sqrt{2}$

Hence,

$\rm :\longmapsto\: \boxed{ \rm{ \: \: \: \sqrt{\dfrac{ \sqrt{3} - 1}{ \sqrt{3} + 1} } = 0.366 \sqrt{2} \: \: \: }}$

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

<h2>More Identities to know :- </h2>

(a + b)² = a² + 2ab + b²

(a - b)² = a² - 2ab + b²

a² - b² = (a + b)(a - b)

(a + b)² = (a - b)² + 4ab

(a - b)² = (a + b)² - 4ab

(a + b)² + (a - b)² = 2(a² + b²)

(a + b)³ = a³ + b³ + 3ab(a + b)

(a - b)³ = a³ - b³ - 3ab(a - b)

3 0

3 years ago

A scale drawing for the floor of a rectangular office shows the floor to be 33 feet long and 24 feet wide. The business wants to

Fynjy0 [20]

Answer:

C. 7.15 cm

Step-by-step explanation:

step 1

Find the new length of the floor

Remember that

$100\%+30\%=130\%=130/100=1.30$

The new length is equal to the original length multiplied by 1.30

$33(1.3)=42.9\ ft$

step 2

Find the length of the floor on the new scale drawing

we have that

The scale drawing is

$\frac{1}{6}\ \frac{cm}{ft}$

That means

1 cm in the drawing represent 6 feet in the actual

Multiply the length of the floor in the actual by the scale drawing

$\frac{1}{6}(42.9)=7.15\ cm$

3 0

4 years ago

Help me plz and ty....

nadya68 [22]

Answer: c

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers