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3 years ago

How many ways are there to arrange 7 distinct red and 5 distinct blue balls in a row such that no two blue balls are next?

Mathematics

2 answers:

dybincka [34]3 years ago

7 0

18 different ways you could place them<span />

sergeinik [125]3 years ago

3 0

Answer:

There probably could be 18 ways.

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Triangle X W Y is shown. The length of side X W is 5. The length of side W Y is 11. The length of Y X is 7. What is the order of

Mars2501 [29]

Answer:

Step-by-step explanation:

The angle opposite to longest side is the largest angle.

WY is the longest side. ∠x is the greatest

Arrange sides from largest to smallest

WY > YX > XW

∠X > ∠W > ∠Y

3 0

2 years ago

Akshay purchased goods costing ₹5,00,000 and sold at 20% profit on cost. Calculate the selling price of goods.

andrey2020 [161]

Answer:

the selling price of the goods is ₹6,00,000

Step-by-step explanation:

The computation of the selling price of the goods are shown below:

As we know that

Selling price = Cost price + profit

= 5,00,000 + 5,00,000 × 0.20

= 5,00,000 + 1,00,000

= ₹6,00,000

Hence, the selling price of the goods is ₹6,00,000

6 0

2 years ago

Serjik [45]

Answer:

Step-by-step explanation:the first one is 8

Second 3 3- 6

4 0

3 years ago

Solve the right triangle, ΔABC, for all the missing side and angles to the nearest tenth given sides a = 10.6 and b = 19.2.

Aliun [14]

Answer:

Part 1) $c=21.9\ units$

Part 2) $B=61.1\°$

Part 3) $A=28.9\°$

Part 4) $C=90\°$

Step-by-step explanation:

step 1

Find the length side c

Applying the Pythagoras Theorem

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

substitute the given values

$c^{2}=10.6^{2}+19.2^{2}$

$c^{2}=481$

$c=21.9\ units$

step 2

Fin the measure of angle B

we know that

In the right triangle

$tan(B)=b/a$

substitute the given values

$tan(B)=19.2/10.6$

$B=arctan(19.2/10.6)=61.1\°$

step 3

Find the measure of angle A

we know that

The measure of interior angles in a triangle must be equal to 180 degrees

∠A+∠B+∠C=180°

Remember that in a right triangle the measure of angle C is 90 degrees

we have

$B=61.1\°$

$C=90\°$

substitute

$A+61.1\°+90\°=180\°$

$A=28.9\°$

4 0

3 years ago

Hurry!

NARA [144]

Ans(a):

Given function is $f(x)=\frac{3x-1}{x+4}$

we know that any rational function is not defined when denominator is 0 so that means denominator x+4 can't be 0

so let's solve

x+4≠0 for x

x≠0-4

x≠-4

Hence at x=4, function can't have solution.

Ans(b):

We know that vertical shift occurs when we add something on the right side of function so vertical shift by 4 units means add 4 to f(x)

so we get:

g(x)=f(x)+4

$g(x)=\frac{3x-1}{x+4}+4$

We may simplify this equation but that is not compulsory.

Comparision:

Graph of g(x) will be just 4 unit upward than graph of f(x).

Ans(c):

To find value of x when g(x)=8, just plug g(x)=8 in previous equation

$8=\frac{3x-1}{x+4}+4$

$8-4=\frac{3x-1}{x+4}$

$4=\frac{3x-1}{x+4}$

$4(x+4)=(3x-1)$

$4x+16=3x-1$

4x-3x=-1-16

x=-17

Hence final answer is x=-17

8 0

3 years ago