Answer:
question 1) 3/5
question 2) 15 x square root of 2 (around 21.2 cm)
Step-by-step explanation
The word "Restaurant" contains a total of 10 letters( 4 are vowels and 6 are consonants)
Probability formula is the ratio of number of favorable outcomes to the total number of possible outcomes.
number of favorable outcomes =6
total number of possible outcome.=10
P=6/10 = 3/5
15 x square root of 2 (around 21.2 cm)
folding diagonally the square sheet form a right triangle
In a right triangle, the length of the hypotenuse is the square root of 2 multiplied by the length of a leg.
If you add 10,30 and 20 you get 60 % in total meaning that 3600 men is equivalent to 40%. Now you know this, if you find whatever 3600 is 40% of, you can work out the answer. You can do this by finding 50% of 3600 which is 1800, which is 20% of the total amount, then doing 3600+3600+1800 to find 100% (40+40+20%) which gives you an answer of 9000.
<h3>
Answer: D) h(x) = (1/4)x</h3>
This is the same as h(x) = x/4
In decimal form, it would be h(x) = 0.25x
=============================================
Explanation:
Inverses undo the original function. The original function tells us to take any input (x) and multiply by 4 to get the output y = f(x) = 4x
To get the inverse, we reverse the operation applied here. The opposite of multiplication is division. So we'll divide by 4 instead of multiply by 4. This is why the answer is x/4 or (1/4)x
-----------
Another approach is to do the following: Replace f(x) with y. Swap x and y. Solve for y
f(x) = 4x
y = 4x
x = 4y
4y = x
y = x/4
h(x) = x/4
We end up with the same result as before.
-----------
Extra info:
For any real number x, the following two equations are true
h( f(x) ) = x
f( h(x) ) = x
We want to find a point on a segment such that the point divides the segment in the ratio 5:1
We will find that the point T is (6, 9)
The general formula for the point T that divides a segment whose endpoints are (x₁, y₁) and (x₂, y₂) such that separates the segment in the ratio j:k is given by:
Here we have the endpoints (5, 10) and (11, 4), and we know that the ratio is 5:1
Then we can just use the above formula to get:
If you want to learn more, you can read:
brainly.com/question/17204382
Sin ( t ) = √ ( 1 - (-9/11)²) = √ ( 1 - 81/121 )= √ 40/121
sin ( t ) = - 2 √10 / 11
cos ( 2 t ) = cos² t - sin² t = 81/121 - 40 / 121 = 41 /121
sin ( 2 t ) = 2 sin t cos t = 2 · ( - 2 √10/11 ) · ( - 9 /11 ) = 36√10 / 121
cos ( t/2 ) = √( 1 + cos t ) / 2 = 1 /√11
sin ( t/2 ) = √( 1 - cos t ) / 2 = √( 10/11 )