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2 years ago

Simplify the square root of 96

Mathematics

1 answer:

Tamiku [17]2 years ago

7 0

$\sqrt{96} = \sqrt{16 \times 6} = \sqrt{16} \times \sqrt{6} = 4 \sqrt{6}$

Hope that helped :)

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PLEASE HELP WITH THIS QUESTION

DedPeter [7]

I think the correct answer is c

3 0

3 years ago

The five members of the Traynor family each buy train tickets. During the train ride, each family member buys a boxed lunch for

larisa [96]

Let's assume

the price of each train ticket is x

we are given

total number of family members =5

so, total cost of ticket = total number of family members*the price of each ticket

so, total cost of ticket =5*x

so, total cost of ticket =5x

now, we have

each family member buys a boxed lunch for $6.50

so, total cost of lunch box = total number of family members*price of each lunch box

so, total cost of lunch box = 5*6.50

total cost of trip = total cost of ticket+total cost of lunch box

we are given

total cost of trip is $248.50

now, we can plug values

and we get

$248.50=5x+5*6.50$

now, we can solve for x

$248.50=5x+32.5$

$248.50-32.5=5x+32.5-32.5$

$216=5x$

$\frac{5x}{5} =\frac{216}{5}$

$x=43.2$

so,

the price of each train ticket is $43.2..........Answer

8 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B9%7D" id="TexFormula1" title="\frac{1}{9}" alt="\frac{1}{9}" align="absmiddle

Jobisdone [24]

$\dfrac{1}{9} - \dfrac{5}{6}$

Set up

$\dfrac{2}{18} - \dfrac{15}{18}$

Get all fractions to a common denominator which will allow you to subtract them

$\dfrac{2 - 15}{18}$

Subtract numerators

$\boxed{- \dfrac{13}{18}}$

Simplify

4 0

2 years ago

Calculate the length of ac

svlad2 [7]

Answer:

12.1 cm

Step-by-step explanation:

Using the law of sines, we can find angle C. Then from the sum of angles, we can find angle B. The law of sines again will tell us the length AC.

sin(C)/c = sin(A)/a

C = arcsin((c/a)sin(A)) = arcsin(8.2/13.5·sin(81°)) ≈ 36.86°

Then angle B is ...

B = 180° -A -C = 180° -81° -36.86° = 62.14°

and side b is ...

b/sin(B) = a/sin(A)

b = a·sin(B)/sin(A) = 13.5·sin(62.14°)/sin(81°) ≈ 12.0835

The length of AC is about 12.1 cm.

_____

<em>Comment on the solution</em>

The problem can also be solved using the law of cosines. The equation is ...

13.5² = 8.2² +b² -2·8.2·b·cos(81°)

This is a quadratic in b. Its solution can be found using the quadratic formula or by completing the square.

b = 8.2·cos(81°) +√(13.5² -8.2² +(8.2·cos(81°))²)

b = 8.2·cos(81°) +√(13.5² -(8.2·sin(81°))²) . . . . . simplified a bit

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2 years ago

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15. A movie is<br> 1 7/8<br> hours long. After 45 minutes, how much of the movie is left?

solniwko [45]

Step-by-step explanation:

67.5 minutes of the movie that was left

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2 years ago