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2 years ago

9

What is the value of all the missing angles?

1 answer:

Serhud [2]2 years ago

6 0

X=65 y=49 z=114 w= 93 t=86

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1)How many ways can the letters in the word BOOKKEEPER be arranged? (Must show set-up )

sergeinik [125]

Question 1

There are 5 letters (B, O, K, E, R) and there is a total of 10 letters to make up the word.
There are $\frac{10!}{(10-6)!6!}$ ways of arranging the letters, which equal to 210 ways

Question 2

There are seven swimmers in total.
There are $\frac{7!}{(7-1)!1!}$ ways of choosing the first winner, which is 7 ways
There are $\frac{6!}{(6-1)!1!}$ ways of choosing the second winner, which is 6 ways
There are $\frac{5!}{(5-1)!1!}$ ways of choosing the third winner, which is 5 ways
There are 7×6×5=210 ways of choosing first, second, and third winner

Question 3

The probability of eating an orange and a red candy is $\frac{15}{31}$ × $\frac{9}{30}$ , which equals to $\frac{9}{62}$

The probability of eating two green candies is $\frac{7}{31}$ × $\frac{6}{30}$ which equals to $\frac{7}{155}$

3 0

3 years ago

The value of a variable that makes an equation true

SVEN [57.7K]

Any number that makes an equation true is a "solution of an equation" it id a solution....(i hope this helps) *smiles*

3 0

2 years ago

Find three consecutive interferes whose sum is 96

Ronch [10]

Answer:

31, 32, 33

Step-by-step explanation:

x + x + 1 +x + 2 = 96

3x + 3 = 96

-3 -3

3x = 93

/3 /3

x = 31

31 is the first number, so since they’re consecutive, the second two numbers are 32 and 33.

6 0

2 years ago

Find the inverse of the function f f (x )<br><br> equals 9 x + 7

MrMuchimi

<em>Note: Your question seems a little bit ambiguous. So, I am assuming the given function f(x)=9x+7.</em>

<em>Thus, I am solving based on it. It would still clear your concept. </em>

Answer:

The inverse of f(x)=9x+7

$\frac{x-7}{9}$

Step-by-step explanation:

Given the function

$f(x)=9 x + 7$

A function g is the inverse of function f if for y=f(x), x=g(y)

Replace x with y

$x=9y+7$

solve for y

$9y=x-7$

$y=\:\frac{x-7}{9}$

Therefore,

The inverse of f(x)=9x+7 is:

$\frac{x-7}{9}$

i.e.

$\mathrm{Inverse\:of}\:9x+7:\quad \frac{x-7}{9}$

6 0

2 years ago

Find the equation of the line tangent to the function at the given point f(x)=5x^2 at x=10

Svet_ta [14]

f(x) = 5x²

f(10) = 5(10)² = 5(100) = 500

f'(x) = 10x

f'(10) = 10(10) = 100

Now, find the line that passes through (10, 500) and has a slope of 100

y - y₁ = m(x - x₁)

y - 500 = 100(x - 10)

y - 500 = 100x - 1000

y = 100x - 500

8 0

2 years ago